Previous Year Paper

IBPS PO Mains Memory Based Paper (Held On: 30 November 2024 Shift 2) (Previous Year Paper)

Held in 2024

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Reasoning & Computer Aptitude (45 questions)

Directions: Read the following information carefully and answer the questions.

There are three dices and each dice contains four sides. Each of the dice are thrown 9 times and 3 letters are obtained every time and are rearranged to form nine different meaningful words as follows:

RED, CAT, APT, LAB, BUT, SUE, ERA, RIP, LIE. 

Note: No two dice have the same letters.

Question 1

In the dice which contains more than one vowel, which of the following consonants is present?

  1. AOption (a)

    S

  2. BOption (b)

    L

  3. COption (c)

    T

  4. DOption (d)

    C

  5. EOption (e)

    D

View answer & explanation

Correct answer

Answer: (e)E.

D

Why this answer is correct

Given: There are three dices and each dice contains four sides.

Now, we compare the words that are formed and try to form the letters that are there on the four different sides of three dices respectively. 

Upon comparing the words RED and ERA, we see that first two letters are common and hence the letters A and D belong to the same dice. 

Now, we take the two words RIP and LIE, compare them, and see that E and P belong to the same dice, R and L belong to the same dice, and A,D, and I belong to the same dice. 

If we now take the word LAB, then we see that E,B and P belong to the same dice, R and L belong to the same dice, and A,D, and I belong to the same dice. 

Considering the word APT, it is noted that E,B and P belong to the same dice, R,T and L belong to the same dice, and A,D, and I belong to the same dice.

Now taking the word CAT, we note that E, B, C and P belong to the same dice, R,T and L belong to the same dice, and A,D, and I belong to the same dice.

Finally we take the word BUT, and we notice that E, B, C and P belong to the same dice, R,T, S and L belong to the same dice, and A,D,U and I belong to the same dice.

Therefore, the letters on the faces of the three different dices are given as follows:

DICE 1DICE 2DICE 3
ERA
BTD
CSU
PLI

 

Therefore, we see that dice 3 has three vowels in it and the consonant present is D.

Hence, the correct answer is D.

Question 2

If only one meaningful four letter word using all the letters of the dice having only one vowel is possible, then what is the second letter from the right end of that word? If no word can be formed, then mark 'Y' as your answer and if more than one word can be formed, then mark 'X' as your answer. 

  1. AOption (a)

    B

  2. BOption (b)

    X

  3. COption (c)

    C

  4. DOption (d)

    Y

  5. EOption (e)

    L

View answer & explanation

Correct answer

Answer: (d)D.

Y

Why this answer is correct

Given: There are three dices and each dice contains four sides.

Now, we compare the words that are formed and try to form the letters that are there on the four different sides of three dices respectively. 

Upon comparing the words RED and ERA, we see that first two letters are common and hence the letters A and D belong to the same dice. 

Now, we take the two words RIP and LIE, compare them, and see that E and P belong to the same dice, R and L belong to the same dice, and A,D, and I belong to the same dice. 

If we now take the word LAB, then we see that E,B and P belong to the same dice, R and L belong to the same dice, and A,D, and I belong to the same dice. 

Considering the word APT, it is noted that E,B and P belong to the same dice, R,T and L belong to the same dice, and A,D, and I belong to the same dice.

Now taking the word CAT, we note that E, B, C and P belong to the same dice, R,T and L belong to the same dice, and A,D, and I belong to the same dice.

Finally we take the word BUT, and we notice that E, B, C and P belong to the same dice, R,T, S and L belong to the same dice, and A,D,U and I belong to the same dice.

Therefore, the letters on the faces of the three different dices are given as follows:

DICE 1DICE 2DICE 3
ERA
BTD
CSU
PLI

 

Therefore, the dice containing only one vowel is dice 1, where the vowel E is present. No four letter word can be formed from the letters E, B, C, and P. 

Hence, the correct answer is Y.

Question 3

Which one of the following letters appears on a dice having no vowel on it?

  1. AOption (a)

    D

  2. BOption (b)

    P

  3. COption (c)

    L

  4. DOption (d)

    B

  5. EOption (e)

    C

View answer & explanation

Correct answer

Answer: (c)C.

L

Why this answer is correct

Given: There are three dices and each dice contains four sides.

Now, we compare the words that are formed and try to form the letters that are there on the four different sides of three dices respectively. 

Upon comparing the words RED and ERA, we see that first two letters are common and hence the letters A and D belong to the same dice. 

Now, we take the two words RIP and LIE, compare them, and see that E and P belong to the same dice, R and L belong to the same dice, and A,D, and I belong to the same dice. 

If we now take the word LAB, then we see that E,B and P belong to the same dice, R and L belong to the same dice, and A,D, and I belong to the same dice. 

Considering the word APT, it is noted that E,B and P belong to the same dice, R,T and L belong to the same dice, and A,D, and I belong to the same dice.

Now taking the word CAT, we note that E, B, C and P belong to the same dice, R,T and L belong to the same dice, and A,D, and I belong to the same dice.

Finally we take the word BUT, and we notice that E, B, C and P belong to the same dice, R,T, S and L belong to the same dice, and A,D,U and I belong to the same dice.

Therefore, the letters on the faces of the three different dices are given as follows:

DICE 1DICE 2DICE 3
ERA
BTD
CSU
PLI

 

Therefore, dice 2 has no vowel on it and the letter that appears in it is L. 

Hence, the correct answer is L.

Direction: In the following questions, symbols are used with the following meaning as illustrated below. Study the following information and answer the given questions.

P @ Q → P is either 6 meters north of Q or 6 meters south of Q. 

P % Q → P is either 8 meters east of Q or 8 meters west of Q.

P & Q → Q is 4 meters east of P. 

P # Q → P is 3 meters north of Q. 

P * Q → P is south west Q.

P $ Q → P is north east of Q. 

Note: 

  1. Point A,B, and F form a vertical straight line. 
  2. No two points overlap each other. 

Given Expression: A@B, B&C, C%D, D#E, E&F, F%R and R$A.

Question 4

Which of the following statements are true?

Statement I: If Z%D, then Z is to the west of B. 

Statement II: The distance between E and F is less than the distance between E and R. 

Statement III: More than two given points are to the north west of F.

  1. AOption (a)

    Only Statement I

  2. BOption (b)

    Both Statements II and III

  3. COption (c)

    All three statements

  4. DOption (d)

    Both Statements I and II

  5. EOption (e)

    Only Statement III

View answer & explanation

Correct answer

Answer: (d)D.

Both Statements I and II

Why this answer is correct

The given expression is: A@B, B&C, C%D, D#E, E&F, F%R and R$A. 

From the given coded statements, we get the following:

A @ B → A is either 6 meters north of B or 6 meters south of B. 

B & C → C is 4 meters east of B. 

C % D → C is either 8 meters east of D or 8 meters west of D.

D # E → D is 3 meters north of E.

E & F →  F is 4 meters east of E.

F % R → F is either 8 meters east of R or 8 meters west of R.

R $ A → R is north east of A.

Based on the above conditions, we get the direction diagram as follows:

Now, from the above direction diagram, we check the correctness of the given statements as follows:

Statement I: If Z%D, then Z is to the west of B. → This statement is true. (Z is 8 meters to the west of D as two points cannot overlap. So, Z is to the west of D and B.)

Statement II: The distance between E and F is less than the distance between E and R. → This statement is true. (The distance between E and F is 4 meters and E and R is 12 meters.)

Statement III: More than two given points are to the north west of F. → This statement is false. (Only one point is located to the north west of F.)

Hence, both the statements I and II are true.

Question 5

If W is to the south east of B, then which of the following is not true?

  1. AOption (a)

    D*W

  2. BOption (b)

    W*R

  3. COption (c)

    W$A

  4. DOption (d)

    C$W

  5. EOption (e)

    W$F

View answer & explanation

Correct answer

Answer: (a)A.

D*W

Why this answer is correct

The given expression is: A@B, B&C, C%D, D#E, E&F, F%R and R$A. 

From the given coded statements, we get the following:

A @ B → A is either 6 meters north of B or 6 meters south of B. 

B & C → C is 4 meters east of B. 

C % D → C is either 8 meters east of D or 8 meters west of D.

D # E → D is 3 meters north of E.

E & F →  F is 4 meters east of E.

F % R → F is either 8 meters east of R or 8 meters west of R.

R $ A → R is north east of A.

Based on the above conditions, we get the direction diagram as follows:

Now, if point W is to the south east of B, then, we see that from the given options, D*W or D is to the south west of W is not a possible case. 

Hence, D*W is no true.

Directions: Read the following information carefully and answer the questions.

Eight persons A,B,C,D,E,F,G, and H are sitting in a circular table. Some of them are sitting facing the inside whereas some of them are sitting facing the outside. The number of persons who sit facing the inside is more than the number of persons who sit facing outside. All of them have different ages. The age of the youngest person is not less than 10 years. 

C is sitting third to the right of the one who is 21 years old. There is one person is sitting between C and F. The one who is 42 years old sitting immediate left of F. C is neither adjacent to the one who is 42 years old nor 36 years old. C and F are facing opposite directions to each other. There are three person sitting between G and E. B is sitting second to the left of the one who is 36 years old. C is not 36 years old. Both the immediate neighbors of the one who is 42 years old is of odd ages. The immediate neighbors of H is facing opposite directions. H and A are immediate neighbors of each others. The sum of the ages of A and B is 98 years. The age of G is greater than F. G and the one who is 14 years old are immediate neighbors. The difference between B and the one who is immediate right of B is 9 years old. The age of B is greater than the one who is sitting immediate right of B. G is eight years younger than E. D and G are facing same directions as that of A.

Question 6

What is the positive difference between the ages of B and F?

  1. AOption (a)

    33

  2. BOption (b)

    52

  3. COption (c)

    40

  4. DOption (d)

    20

  5. EOption (e)

    19

View answer & explanation

Correct answer

Answer: (c)C.

40

Why this answer is correct

Given: Eight persons A,B,C,D,E,F,G, and H are sitting in a circular table. Some of them are sitting facing the inside whereas some of them are sitting facing the outside. The number of persons who sit facing the inside is more than the number of persons who sit facing outside. All of them have different ages. The age of the youngest person is not less than 10 years.

Based on the conditions given, we get the following possibilities:

1. C is sitting third to the right of the one who is 21 years old.

There is one person is sitting between C and F.

The one who is 42 years old sitting immediate left of F.

C is neither adjacent to the one who is 42 years old nor 36 years old.

C and F are facing opposite directions to each other. 

Combining these, we get-

2. C is neither adjacent to the one who is 42 years old nor 36 years old. 

C is not 36 years old.

Both the immediate neighbors of the one who is 42 years old is of odd ages.

B is sitting second to the left of the one who is 36 years old.

Combining these, we get-

3. The number of persons who sit facing the inside is more than the number of persons who sit facing outside.

The difference between B and the one who is immediate right of B is 9 years old.

Both the immediate neighbors of the one who is 42 years old is of odd ages.

Combining these, we get-

4. There are three person sitting between G and E.

G and the one who is 14 years old are immediate neighbors. 

Both the immediate neighbors of the one who is 42 years old is of odd ages.

Combining these, we get-

5. The sum of the ages of A and B is 98 years. 

Now, B's age is confirmed to be 51. So, A's age is → 98 - 51 = 47. 

From this, we get-

6. G is eight years younger than E.

From this, we get-

7. H and A are immediate neighbors of each others. This condition eliminates the cases 1A and 2 from above. 

The age of the youngest person is not less than 10 years.

The age of G is greater than F. 

Both the immediate neighbors of the one who is 42 years old is of odd ages.

So, the only possible age of F is 11 years. 

D and G are facing same directions as that of A.

Combining these, we get-

8. The immediate neighbors of H is facing opposite directions.

This condition eliminates case 2A from above and we are left with Case 1 as the final arrangement as follows:

From the above final arrangement, we see that B is aged 51 years and F is aged 11 years. The positive difference between their ages is 40. 

Hence, the required positive difference is 40.

Question 7

Who among the following sits fifth to the right of the person who is aged 13 years?

  1. AOption (a)

    D

  2. BOption (b)

    F

  3. COption (c)

    G

  4. DOption (d)

    B

  5. EOption (e)

    E

View answer & explanation

Correct answer

Answer: (d)D.

B

Why this answer is correct

Given: Eight persons A,B,C,D,E,F,G, and H are sitting in a circular table. Some of them are sitting facing the inside whereas some of them are sitting facing the outside. The number of persons who sit facing the inside is more than the number of persons who sit facing outside. All of them have different ages. The age of the youngest person is not less than 10 years.

Based on the conditions given, we get the following possibilities:

1. C is sitting third to the right of the one who is 21 years old.

There is one person is sitting between C and F.

The one who is 42 years old sitting immediate left of F.

C is neither adjacent to the one who is 42 years old nor 36 years old.

C and F are facing opposite directions to each other. 

Combining these, we get-

2. C is neither adjacent to the one who is 42 years old nor 36 years old. 

C is not 36 years old.

Both the immediate neighbors of the one who is 42 years old is of odd ages.

B is sitting second to the left of the one who is 36 years old.

Combining these, we get-

3. The number of persons who sit facing the inside is more than the number of persons who sit facing outside.

The difference between B and the one who is immediate right of B is 9 years old.

Both the immediate neighbors of the one who is 42 years old is of odd ages.

Combining these, we get-

4. There are three person sitting between G and E.

G and the one who is 14 years old are immediate neighbors. 

Both the immediate neighbors of the one who is 42 years old is of odd ages.

Combining these, we get-

5. The sum of the ages of A and B is 98 years. 

Now, B's age is confirmed to be 51. So, A's age is → 98 - 51 = 47. 

From this, we get-

6. G is eight years younger than E.

From this, we get-

7. H and A are immediate neighbors of each others. This condition eliminates the cases 1A and 2 from above. 

The age of the youngest person is not less than 10 years.

The age of G is greater than F. 

Both the immediate neighbors of the one who is 42 years old is of odd ages.

So, the only possible age of F is 11 years. 

D and G are facing same directions as that of A.

Combining these, we get-

8. The immediate neighbors of H is facing opposite directions.

This condition eliminates case 2A from above and we are left with Case 1 as the final arrangement as follows:

From the above final arrangement, we see that G is aged 13 years. B sits fifth to the right of G. 

Hence, B sits fifth to the right of the person who is aged 13 years.

Question 8

Who among the following is 36 years old?

  1. AOption (a)

    D

  2. BOption (b)

    A

  3. COption (c)

    E

  4. DOption (d)

    G

  5. EOption (e)

    H

View answer & explanation

Correct answer

Answer: (e)E.

H

Why this answer is correct

Given: Eight persons A,B,C,D,E,F,G, and H are sitting in a circular table. Some of them are sitting facing the inside whereas some of them are sitting facing the outside. The number of persons who sit facing the inside is more than the number of persons who sit facing outside. All of them have different ages. The age of the youngest person is not less than 10 years.

Based on the conditions given, we get the following possibilities:

1. C is sitting third to the right of the one who is 21 years old.

There is one person is sitting between C and F.

The one who is 42 years old sitting immediate left of F.

C is neither adjacent to the one who is 42 years old nor 36 years old.

C and F are facing opposite directions to each other. 

Combining these, we get-

2. C is neither adjacent to the one who is 42 years old nor 36 years old. 

C is not 36 years old.

Both the immediate neighbors of the one who is 42 years old is of odd ages.

B is sitting second to the left of the one who is 36 years old.

Combining these, we get-

3. The number of persons who sit facing the inside is more than the number of persons who sit facing outside.

The difference between B and the one who is immediate right of B is 9 years old.

Both the immediate neighbors of the one who is 42 years old is of odd ages.

Combining these, we get-

4. There are three person sitting between G and E.

G and the one who is 14 years old are immediate neighbors. 

Both the immediate neighbors of the one who is 42 years old is of odd ages.

Combining these, we get-

5. The sum of the ages of A and B is 98 years. 

Now, B's age is confirmed to be 51. So, A's age is → 98 - 51 = 47. 

From this, we get-

6. G is eight years younger than E.

From this, we get-

7. H and A are immediate neighbors of each others. This condition eliminates the cases 1A and 2 from above. 

The age of the youngest person is not less than 10 years.

The age of G is greater than F. 

Both the immediate neighbors of the one who is 42 years old is of odd ages.

So, the only possible age of F is 11 years. 

D and G are facing same directions as that of A.

Combining these, we get-

8. The immediate neighbors of H is facing opposite directions.

This condition eliminates case 2A from above and we are left with Case 1 as the final arrangement as follows:

From the above final arrangement, we see that H is 36 years old.  

Hence, H is 36 years old.

Question 9

What is the sum of the ages of C and E?

  1. AOption (a)

    42

  2. BOption (b)

    55

  3. COption (c)

    35

  4. DOption (d)

    47

  5. EOption (e)

    59

View answer & explanation

Correct answer

Answer: (c)C.

35

Why this answer is correct

Given: Eight persons A,B,C,D,E,F,G, and H are sitting in a circular table. Some of them are sitting facing the inside whereas some of them are sitting facing the outside. The number of persons who sit facing the inside is more than the number of persons who sit facing outside. All of them have different ages. The age of the youngest person is not less than 10 years.

Based on the conditions given, we get the following possibilities:

1. C is sitting third to the right of the one who is 21 years old.

There is one person is sitting between C and F.

The one who is 42 years old sitting immediate left of F.

C is neither adjacent to the one who is 42 years old nor 36 years old.

C and F are facing opposite directions to each other. 

Combining these, we get-

2. C is neither adjacent to the one who is 42 years old nor 36 years old. 

C is not 36 years old.

Both the immediate neighbors of the one who is 42 years old is of odd ages.

B is sitting second to the left of the one who is 36 years old.

Combining these, we get-

3. The number of persons who sit facing the inside is more than the number of persons who sit facing outside.

The difference between B and the one who is immediate right of B is 9 years old.

Both the immediate neighbors of the one who is 42 years old is of odd ages.

Combining these, we get-

4. There are three person sitting between G and E.

G and the one who is 14 years old are immediate neighbors. 

Both the immediate neighbors of the one who is 42 years old is of odd ages.

Combining these, we get-

5. The sum of the ages of A and B is 98 years. 

Now, B's age is confirmed to be 51. So, A's age is → 98 - 51 = 47. 

From this, we get-

6. G is eight years younger than E.

From this, we get-

7. H and A are immediate neighbors of each others. This condition eliminates the cases 1A and 2 from above. 

The age of the youngest person is not less than 10 years.

The age of G is greater than F. 

Both the immediate neighbors of the one who is 42 years old is of odd ages.

So, the only possible age of F is 11 years. 

D and G are facing same directions as that of A.

Combining these, we get-

8. The immediate neighbors of H is facing opposite directions.

This condition eliminates case 2A from above and we are left with Case 1 as the final arrangement as follows:

From the above final arrangement, we see that C is 14 years old and E is 21 years old. So, the sum of their ages is 35.  

Hence, the required sum is 35.

Question 10

Who sits opposite to A?

  1. AOption (a)

    G

  2. BOption (b)

    H

  3. COption (c)

    E

  4. DOption (d)

    D

  5. EOption (e)

    C

View answer & explanation

Correct answer

Answer: (d)D.

D

Why this answer is correct

Given: Eight persons A,B,C,D,E,F,G, and H are sitting in a circular table. Some of them are sitting facing the inside whereas some of them are sitting facing the outside. The number of persons who sit facing the inside is more than the number of persons who sit facing outside. All of them have different ages. The age of the youngest person is not less than 10 years.

Based on the conditions given, we get the following possibilities:

1. C is sitting third to the right of the one who is 21 years old.

There is one person is sitting between C and F.

The one who is 42 years old sitting immediate left of F.

C is neither adjacent to the one who is 42 years old nor 36 years old.

C and F are facing opposite directions to each other. 

Combining these, we get-

2. C is neither adjacent to the one who is 42 years old nor 36 years old. 

C is not 36 years old.

Both the immediate neighbors of the one who is 42 years old is of odd ages.

B is sitting second to the left of the one who is 36 years old.

Combining these, we get-

3. The number of persons who sit facing the inside is more than the number of persons who sit facing outside.

The difference between B and the one who is immediate right of B is 9 years old.

Both the immediate neighbors of the one who is 42 years old is of odd ages.

Combining these, we get-

4. There are three person sitting between G and E.

G and the one who is 14 years old are immediate neighbors. 

Both the immediate neighbors of the one who is 42 years old is of odd ages.

Combining these, we get-

5. The sum of the ages of A and B is 98 years. 

Now, B's age is confirmed to be 51. So, A's age is → 98 - 51 = 47. 

From this, we get-

6. G is eight years younger than E.

From this, we get-

7. H and A are immediate neighbors of each others. This condition eliminates the cases 1A and 2 from above. 

The age of the youngest person is not less than 10 years.

The age of G is greater than F. 

Both the immediate neighbors of the one who is 42 years old is of odd ages.

So, the only possible age of F is 11 years. 

D and G are facing same directions as that of A.

Combining these, we get-

8. The immediate neighbors of H is facing opposite directions.

This condition eliminates case 2A from above and we are left with Case 1 as the final arrangement as follows:

From the above final arrangement, we see that D sits opposite to A. 

Hence, D sits opposite to A.

Directions: Read the given information carefully and answer the following questions.

A word and number arrangement device when given an input line of words and numbers rearranges them following a particular pattern in each step. The following is an illustration of input and rearrangement. (All the numbers are two-digit numbers.)

Input: man 45 cow 13 job 62 bet 28 lie 74 91 and.

Step I: blm 45 cow job 62 bet 28 lie 74 91 and 31.

Step II: 25 blm 45 cow job 62 bet 74 91 and 31 fjk.

Step III: aip 25 blm cow 62 bet 74 91 and 31 fjk 54.

Step IV: 59 aip 25 blm bet 74 91 and 31 fjk 54 bpv.

Step V: afs 59 aip 25 blm 91 and 31 fjk 54 bpv 71.

Step VI: 19 afs 59 aip 25 blm 31 fjk 54 bpv 71 bcm. 

Step VI is the last step of the above input. As per the pattern followed in the above steps, find out in each of the following questions the appropriate step for the given input.

Input: 29 may 76 van end 35 aid 58 urn 83 our 42.

Question 11

What is the resultant number obtained when the first number from the right is subtracted from the sum of the first three numbers from the left in Step VI?

  1. AOption (a)

    83

  2. BOption (b)

    79

  3. COption (c)

    70

  4. DOption (d)

    73

  5. EOption (e)

    87

View answer & explanation

Correct answer

Answer: (d)D.

73

Why this answer is correct

The logic that is followed in the given steps in this input output is given as follows:

  1. In case of the numbers, they are chosen according to their ascending order, that is the smallest number is chosen first. If the number is odd, then the number is reversed in the next step. If the number is even, 3 is subtracted from the given number. 
  2. In case of the words, we see that all the words are three letter words. The sum of the place values of all the letters in each word is taken. Then the operations are performed on the number which has the highest sum, followed by the next highest sum. 

The operation performed on the words is that if a letter is a vowel then it is shifted to the next alphabet according to the English alphabetical series and if the letter is a consonant, then it is shifted to the previous letter according to the English alphabetical series. Now, in the newly formed word, the first two letters are interchanged and we obtain the final three letter combination. 

In the first step the newly formed word is added to the left end and the number is added to the right end. Now, in the second step the reverse of it is done. That is, the new number is added to the left end and the new word is added to the right end. 

This process is repeated till we obtained the final output in Step VI.

Based on this logic we obtain the steps of the given input as follows:

Input: 29 may 76 van end 35 aid 58 urn 83 our 42.

Step I:  bmu may 76 end 35 aid 58 urn 83 our 42 92.

Step II: 53 bmu may 76 end aid 58 83 our 42 92  mqv.

Step III: pqv 53 bmu may 76 end aid 58 83 92 mqv 39.

Step IV: 55 pqv 53 bmu 76 end aid 83 92 mqv 39 blx.

Step V: cfm 55 pqv 53 bmu aid 83 92 mqv 39 blx 73.

Step VI: 38 cfm 55 pqv 53 bmu 92 mqv 39 blx 73 bcj. 

Therefore, in Step VI, we see that the first three numbers from the left are 38, 55, and 53. Their sum is 146. The first number from the right is 73. Their difference is 146 - 73 = 73. 

Hence, the correct answer is 73.

Question 12

What is the position of the element "mqv" in the last step?

  1. AOption (a)

    Fourth from the left

  2. BOption (b)

    First from the right

  3. COption (c)

    Fifth from the right

  4. DOption (d)

    Second from the left

  5. EOption (e)

    Sixth from the left

View answer & explanation

Correct answer

Answer: (c)C.

Fifth from the right

Why this answer is correct

The logic that is followed in the given steps in this input output is given as follows:

  1. In case of the numbers, they are chosen according to their ascending order, that is the smallest number is chosen first. If the number is odd, then the number is reversed in the next step. If the number is even, 3 is subtracted from the given number. 
  2. In case of the words, we see that all the words are three letter words. The sum of the place values of all the letters in each word is taken. Then the operations are performed on the number which has the highest sum, followed by the next highest sum. 

The operation performed on the words is that if a letter is a vowel then it is shifted to the next alphabet according to the English alphabetical series and if the letter is a consonant, then it is shifted to the previous letter according to the English alphabetical series. Now, in the newly formed word, the first two letters are interchanged and we obtain the final three letter combination. 

In the first step the newly formed word is added to the left end and the number is added to the right end. Now, in the second step the reverse of it is done. That is, the new number is added to the left end and the new word is added to the right end. 

This process is repeated till we obtained the final output in Step VI.

Based on this logic we obtain the steps of the given input as follows:

Input: 29 may 76 van end 35 aid 58 urn 83 our 42.

Step I:  bmu may 76 end 35 aid 58 urn 83 our 42 92.

Step II: 53 bmu may 76 end aid 58 83 our 42 92  mqv.

Step III: pqv 53 bmu may 76 end aid 58 83 92 mqv 39.

Step IV: 55 pqv 53 bmu 76 end aid 83 92 mqv 39 blx.

Step V: cfm 55 pqv 53 bmu aid 83 92 mqv 39 blx 73.

Step VI: 38 cfm 55 pqv 53 bmu 92 mqv 39 blx 73 bcj. 

Therefore, in the last step, we see that the element "mqv" is placed fifth from the right. 

Hence, the correct answer is fifth from the right.

Question 13

What is the sum of the first three numbers from the right end in Step V?

  1. AOption (a)

    208

  2. BOption (b)

    193

  3. COption (c)

    211

  4. DOption (d)

    204

  5. EOption (e)

    197

View answer & explanation

Correct answer

Answer: (d)D.

204

Why this answer is correct

The logic that is followed in the given steps in this input output is given as follows:

  1. In case of the numbers, they are chosen according to their ascending order, that is the smallest number is chosen first. If the number is odd, then the number is reversed in the next step. If the number is even, 3 is subtracted from the given number. 
  2. In case of the words, we see that all the words are three letter words. The sum of the place values of all the letters in each word is taken. Then the operations are performed on the number which has the highest sum, followed by the next highest sum. 

The operation performed on the words is that if a letter is a vowel then it is shifted to the next alphabet according to the English alphabetical series and if the letter is a consonant, then it is shifted to the previous letter according to the English alphabetical series. Now, in the newly formed word, the first two letters are interchanged and we obtain the final three letter combination. 

In the first step the newly formed word is added to the left end and the number is added to the right end. Now, in the second step the reverse of it is done. That is, the new number is added to the left end and the new word is added to the right end. 

This process is repeated till we obtained the final output in Step VI.

Based on this logic we obtain the steps of the given input as follows:

Input: 29 may 76 van end 35 aid 58 urn 83 our 42.

Step I:  bmu may 76 end 35 aid 58 urn 83 our 42 92.

Step II: 53 bmu may 76 end aid 58 83 our 42 92  mqv.

Step III: pqv 53 bmu may 76 end aid 58 83 92 mqv 39.

Step IV: 55 pqv 53 bmu 76 end aid 83 92 mqv 39 blx.

Step V: cfm 55 pqv 53 bmu aid 83 92 mqv 39 blx 73.

Step VI: 38 cfm 55 pqv 53 bmu 92 mqv 39 blx 73 bcj. 

Therefore, in Step V, we see that the first three numbers from the right end are 73, 39, and 92. Their sum is 73 + 39 + 92 = 204. 

Hence, the correct answer is 204.

Question 14

What is the third element to the right of the fifth element from the left in Step IV?

  1. AOption (a)

    92

  2. BOption (b)

    aid

  3. COption (c)

    83

  4. DOption (d)

    end

  5. EOption (e)

    mqv

View answer & explanation

Correct answer

Answer: (c)C.

83

Why this answer is correct

The logic that is followed in the given steps in this input output is given as follows:

  1. In case of the numbers, they are chosen according to their ascending order, that is the smallest number is chosen first. If the number is odd, then the number is reversed in the next step. If the number is even, 3 is subtracted from the given number. 
  2. In case of the words, we see that all the words are three letter words. The sum of the place values of all the letters in each word is taken. Then the operations are performed on the number which has the highest sum, followed by the next highest sum. 

The operation performed on the words is that if a letter is a vowel then it is shifted to the next alphabet according to the English alphabetical series and if the letter is a consonant, then it is shifted to the previous letter according to the English alphabetical series. Now, in the newly formed word, the first two letters are interchanged and we obtain the final three letter combination. 

In the first step the newly formed word is added to the left end and the number is added to the right end. Now, in the second step the reverse of it is done. That is, the new number is added to the left end and the new word is added to the right end. 

This process is repeated till we obtained the final output in Step VI.

Based on this logic we obtain the steps of the given input as follows:

Input: 29 may 76 van end 35 aid 58 urn 83 our 42.

Step I:  bmu may 76 end 35 aid 58 urn 83 our 42 92.

Step II: 53 bmu may 76 end aid 58 83 our 42 92  mqv.

Step III: pqv 53 bmu may 76 end aid 58 83 92 mqv 39.

Step IV: 55 pqv 53 bmu 76 end aid 83 92 mqv 39 blx.

Step V: cfm 55 pqv 53 bmu aid 83 92 mqv 39 blx 73.

Step VI: 38 cfm 55 pqv 53 bmu 92 mqv 39 blx 73 bcj. 

Therefore, in Step IV, we see that the fifth element from the left end is "76'. Third to the right of "76" is "83". 

Hence, the correct answer is "83".

Question 15

Which element is exactly between 'may' and 'end' in Step III?

  1. AOption (a)

    mqv

  2. BOption (b)

    58

  3. COption (c)

    39

  4. DOption (d)

    pqv

  5. EOption (e)

    76

View answer & explanation

Correct answer

Answer: (e)E.

76

Why this answer is correct

The logic that is followed in the given steps in this input output is given as follows:

  1. In case of the numbers, they are chosen according to their ascending order, that is the smallest number is chosen first. If the number is odd, then the number is reversed in the next step. If the number is even, 3 is subtracted from the given number. 
  2. In case of the words, we see that all the words are three letter words. The sum of the place values of all the letters in each word is taken. Then the operations are performed on the number which has the highest sum, followed by the next highest sum. 

The operation performed on the words is that if a letter is a vowel then it is shifted to the next alphabet according to the English alphabetical series and if the letter is a consonant, then it is shifted to the previous letter according to the English alphabetical series. Now, in the newly formed word, the first two letters are interchanged and we obtain the final three letter combination. 

In the first step the newly formed word is added to the left end and the number is added to the right end. Now, in the second step the reverse of it is done. That is, the new number is added to the left end and the new word is added to the right end. 

This process is repeated till we obtained the final output in Step VI.

Based on this logic we obtain the steps of the given input as follows:

Input: 29 may 76 van end 35 aid 58 urn 83 our 42.

Step I:  bmu may 76 end 35 aid 58 urn 83 our 42 92.

Step II: 53 bmu may 76 end aid 58 83 our 42 92  mqv.

Step III: pqv 53 bmu may 76 end aid 58 83 92 mqv 39.

Step IV: 55 pqv 53 bmu 76 end aid 83 92 mqv 39 blx.

Step V: cfm 55 pqv 53 bmu aid 83 92 mqv 39 blx 73.

Step VI: 38 cfm 55 pqv 53 bmu 92 mqv 39 blx 73 bcj. 

Therefore, in Step III, we see that the element that sits exactly in the middle of "May" and "End" is 76. 

Hence, the correct answer is 76.

Question 16

Direction: In the following question, two conclusions have been given followed by three sets of possible statements. You have to take the given conclusions to be true even if they seem to be at variance with the commonly known facts and then decide for the given conclusions logically follows from which of the given statements disregarding commonly known facts.

Conclusions:

I. All lions can never be parrots.

II. Some elephants being zebra is a possibility.

Statements:

I. Only a few parrots are tigers. Only a few tigers are elephants. All elephants are lions. No lion is zebra.

II. Only a few tiger are elephants. No elephants are parrots. No tiger is zebra. All lions are zebra.

III. All parrots are elephants. No parrots are zebra. Only a few zebra are lions.

  1. AOption (a)

    Only I follows

  2. BOption (b)

    Both II and III follows

  3. COption (c)

    Only III follows

  4. DOption (d)

    Only II follows

  5. EOption (e)

    All three follow

View answer & explanation

Correct answer

Answer: (c)C.

Only III follows

Why this answer is correct

From Statement I, 

I. Only a few parrots are tigers. Only a few tigers are elephants. All elephants are lions. No lion is zebra.

The least possible Venn Diagram is as follows:

Conclusions:

I. All lions can never be parrots. → False. (This conclusion is false as there is no direct relation given between parrots and lions.)

II. Some elephants being zebra is a possibility. → False. (This conclusion is false as all elephants are lions and no lion can ever be a zebra.)

So, statement I does not follow. 

From Statement II, 

II. Only a few tiger are elephants. No elephants are parrots. No tiger is zebra. All lions are zebra.

The least possible Venn Diagram is as follows:

Conclusions:

I. All lions can never be parrots. → False. (This conclusion is false as there is no direct relation given between parrots and lions.)

II. Some elephants being zebra is a possibility. → False. (This conclusion is false as all no tiger is a zebra and there is no other direct relation given between elephant and zebra.)

So, statement II does not follow. 

From Statement III, 

III. All parrots are elephants. No parrots are zebra. Only a few zebra are lions.

The least possible Venn Diagram is as follows:

Conclusions:

I. All lions can never be parrots. → True. (This is true as some lions are zebras and no zebras are parrots.)

II. Some elephants being zebra is a possibility. → True. (This conclusion is true as there is no direct relation given between elephants and zebras..)

So, statement III follows. 

Hence, only statement III follows.

Question 17

There is a scientific research on green tea which tells that the people who take regular Green tea in their daily routine have less chances of getting cancer and heart attack due to benefits of green tea.

Which one of the following if true will weaken the above statement?

  1. AOption (a)

    Green tea has antioxidant beneficial medical properties.

  2. BOption (b)

    If some one consume three or more than three cups of green tea, it reduce inflammation.

  3. COption (c)

    It has some herb which reduce the risk of heart disease.

  4. DOption (d)

    Usage of green tea reduce the cholesterol level in body.

  5. EOption (e)

    The people are already taking precaution regarding their health.

View answer & explanation

Correct answer

Answer: (e)E.

The people are already taking precaution regarding their health.

Why this answer is correct

Now, we take a look at the given options to check whether they weaken the given statement or not as follows:

1. Green tea has antioxidant beneficial medical properties. → If this statement is true then green tea being an antioxidant will definitely help in reducing heart related issues. So, this strengthens the given statement.  2. If some one consume three or more than three cups of green tea, it reduce inflammation. → If this statement is true then green tea reducing inflammation will definitely help in reducing the chances of cancer and heart related diseases. So, this strengthens the given statement.  3. It has some herb which reduce the risk of heart disease. → If this statement is true then the herbs will directly contribute towards improved heart health. So, this strengthens the given statement.  4. Usage of green tea reduce the cholesterol level in body. → If this statement is true then green tea reducing cholesterol levels will definitely help in reducing the chances of cancer and heart related diseases. As we know that an increase in the cholesterol levels of the body will lead to heart related problems. So, this strengthens the given statement.  5. The people are already taking precaution regarding their health. → If this statement is true then people being already aware about heart health and cancer will not pay much heed into using green tea for various medicinal purposes. They already are taking different measures to ensure their well being. So, this weakens the given statement. 

Hence**, option 5 weakens the given statement.**

Question 18

There is a XYZ company in country Z. There content Al department want to implement a new software update in its system. But the Board of Directors of marketing department postpone the implementation procedure of new software.

Under which circumstances if a answer is a 'yes', will make Board of Directors of marketing department postpone the implementation of new software update?

  1. AOption (a)

    Will the company be able to control over the database?

  2. BOption (b)

    Will it be accessible to valid users only?

  3. COption (c)

    Can the new software can be verified with a third party?

  4. DOption (d)

    Does the company have access regarding software update?

  5. EOption (e)

    Is the new software a replica of another similar product already available in the market?

View answer & explanation

Correct answer

Answer: (e)E.

Is the new software a replica of another similar product already available in the market?

Why this answer is correct

Now, we take a look at the given options to check whether they will postpone the implementation of the new software or not as follows:

1. Will the company be able to control over the database? → If the answer to this question is yes, then this is a correct check mark and complete control over the database is required. So, this will not postpone the implementation.  2. Will it be accessible to valid users only? → If the answer to this question is yes, then this is a correct check mark and since this is a new feature, making it limited to valid users is a good ploy. So, this will not postpone the implementation.  3. Can the new software can be verified with a third party? → If the answer to this question is yes, then this is a correct check mark and a verification by a third party will help in making the new software foolproof. So, this will not postpone the implementation.  4. Does the company have access regarding software update? → If the answer to this question is yes, then this is a correct check mark and access to the software update is very essential. So, this will not postpone the implementation.  5. Is the new software a replica of another similar product already available in the market? → If the answer to this question is yes, then this is a genuine problem as the new product should be completely unique in order to attract customers. So, this will postpone the implementation. 

Hence, if a new product is a replica of an already available product, then it will definitely postpone the implementation of the software.

Question 19

There is a Delight Pizza company in a city Z. It was shut down by authorities. Authorities suspended its license due to lack of maintenance, equipment and procedure. Company has to submit a report about changes and implement the same in next two weeks. If the report is found to be satisfactory, authorities will restore its license.

A) Other restaurants may become cautious and try to improve the conditions to avoid such situations.

B) Several complaints have been already lodged with the authorities against Delight Pizza company.

C) The authorities will continue to monitor the operation of Delight Plaza for few years. 

D) Several members have been terminated from the company in the past. 

E) Reputation of Delight Plaza might take hit and take a while to regain its fame.

Which of the following can be inferred from the above passage?

  1. AOption (a)

    A

  2. BOption (b)

    B and D

  3. COption (c)

    E

  4. DOption (d)

    C

  5. EOption (e)

    A and E

View answer & explanation

Correct answer

Answer: (e)E.

A and E

Why this answer is correct

We take a look at all the statements given and check whether it can be inferred from the given passage as follows:

A) Other restaurants may become cautious and try to improve the conditions to avoid such situations. → As an effect of what happens with the mentioned restaurant, other restaurants will be cautious about surprise checks and will try to improve their conditions. So, this statement can be inferred from the given passage. 

B) Several complaints have been already lodged with the authorities against Delight Pizza company. → We cannot conclude that several complaints have been lodged against the pizza company from the passage given. So, this statement cannot be inferred from the given passage. 

C) The authorities will continue to monitor the operation of Delight Plaza for few years. → On the basis of a surprise check, we cannot infer that the authorities will keep on monitoring the pizza company for few years. So, this statement cannot be inferred from the given passage. 

D) Several members have been terminated from the company in the past. → It is nowhere mentioned in the passage about the company and its staff. So, this statement cannot be inferred from the given passage. 

E) Reputation of Delight Plaza might take hit and take a while to regain its fame. → This might be a possible effect of the sanctions and checks imposed on the pizza company. So, this statement can be inferred from the given passage. 

Hence, only statements A and E can be inferred from the given passage.

Directions: Read the following information carefully and answer the questions.

15 people performed in six days from Monday to Saturday in three different slots. Slot I, II and III.

Note: If "x" number of slots were between the slots 'y' and 'z' performed, then all the slots in which 'y' and 'z' performed may or may not be performed in it.

B performed on Wednesday. There are two slots between B and K. B performed after K. G performed in slot III. K and G performed adjacent to each other. K performed after G. K and J performed on the same day. J does not performed in the last slot. M does not performed in the III slot. M and D performed on the same day. The number of slots performed before J is same as after D. A performed in I slot. No one performed between A and M. O performed immediately before H but in different days. P, C and F performed in same slot but in different days. The number of person performed between L and N is same as between N and E. The slots between L and N are prime in numbers. D performed before P but after C. F performed before C.

Question 20

Who among the following performs in the slot immediately after J?

  1. AOption (a)

    E

  2. BOption (b)

    K

  3. COption (c)

    No one performs

  4. DOption (d)

    B

  5. EOption (e)

    L

View answer & explanation

Correct answer

Answer: (c)C.

No one performs

Why this answer is correct

Given: 15 people performed in six days from Monday to Saturday in three different slots. Slot I, II and III.

Please note that there are 18 available slots and 15 people. So, 3 slots will remain vacant. 

Based on the given conditions, we get the following possibilities as follows:

1. B performed on Wednesday.

There are two slots between B and K.

B performed after K.

G performed in slot III.

K and G performed adjacent to each other.

K performed after G.

Combining these, we get-

CASE 1
DAYSSLOT ISLOT IISLOT III
MONDAYG
TUESDAYK
WEDNESDAYB
THURSDAY
FRIDAY
SATURDAY

 

2. K and J performed on the same day.

J does not performed in the last slot.

M does not performed in the III slot.

M and D performed on the same day.

The number of slots performed before J is same as after D. 

Combining these, we get-

CASE 1
DAYSSLOT ISLOT IISLOT III
MONDAYG
TUESDAYKJ
WEDNESDAYB
THURSDAY
FRIDAYMD
SATURDAY

 

3. A performed in I slot.

No one performed between A and M.

From this, we get-

CASE 1
DAYSSLOT ISLOT IISLOT III
MONDAYG
TUESDAYKJ
WEDNESDAYB
THURSDAYAVacantVacant
FRIDAYMD
SATURDAY

 

4. O performed immediately before H but in different days.

P, C and F performed in same slot but in different days.

D performed before P but after C.

F performed before C.

Combining this, we get two cases as follows:

CASE 1CASE 2
DAYSSLOT ISLOT IISLOT IIISLOT ISLOT IISLOT III
MONDAYFGG
TUESDAYKJKJF
WEDNESDAYBCBC
THURSDAYAVacantVacantAVacantVacant
FRIDAYMDOMDO
SATURDAYHPHP

 

5. The number of person performed between L and N is same as between N and E.

The slots between L and N are prime in numbers.

Combining these two conditions eliminates Case 2 from above and we get the final arrangement as follows:

SLOTS
DAYSSLOT ISLOT IISLOT III
MONDAYLFG
TUESDAYKJVacant
WEDNESDAYBCN
THURSDAYAVacantVacant
FRIDAYMDO
SATURDAYHPE

 

Therefore, from the above table, we see that the slot immediately after J is vacant.  

Hence, no one performs in the slot immediately after J.

Question 21

Who among the following is the odd one out?

  1. AOption (a)

    G

  2. BOption (b)

    O

  3. COption (c)

    N

  4. DOption (d)

    E

  5. EOption (e)

    K

View answer & explanation

Correct answer

Answer: (e)E.

K

Why this answer is correct

Given: 15 people performed in six days from Monday to Saturday in three different slots. Slot I, II and III.

Please note that there are 18 available slots and 15 people. So, 3 slots will remain vacant. 

Based on the given conditions, we get the following possibilities as follows:

1. B performed on Wednesday.

There are two slots between B and K.

B performed after K.

G performed in slot III.

K and G performed adjacent to each other.

K performed after G.

Combining these, we get-

CASE 1
DAYSSLOT ISLOT IISLOT III
MONDAYG
TUESDAYK
WEDNESDAYB
THURSDAY
FRIDAY
SATURDAY

 

2. K and J performed on the same day.

J does not performed in the last slot.

M does not performed in the III slot.

M and D performed on the same day.

The number of slots performed before J is same as after D. 

Combining these, we get-

CASE 1
DAYSSLOT ISLOT IISLOT III
MONDAYG
TUESDAYKJ
WEDNESDAYB
THURSDAY
FRIDAYMD
SATURDAY

 

3. A performed in I slot.

No one performed between A and M.

From this, we get-

CASE 1
DAYSSLOT ISLOT IISLOT III
MONDAYG
TUESDAYKJ
WEDNESDAYB
THURSDAYAVacantVacant
FRIDAYMD
SATURDAY

 

4. O performed immediately before H but in different days.

P, C and F performed in same slot but in different days.

D performed before P but after C.

F performed before C.

Combining this, we get two cases as follows:

CASE 1CASE 2
DAYSSLOT ISLOT IISLOT IIISLOT ISLOT IISLOT III
MONDAYFGG
TUESDAYKJKJF
WEDNESDAYBCBC
THURSDAYAVacantVacantAVacantVacant
FRIDAYMDOMDO
SATURDAYHPHP

 

5. The number of person performed between L and N is same as between N and E.

The slots between L and N are prime in numbers.

Combining these two conditions eliminates Case 2 from above and we get the final arrangement as follows:

SLOTS
DAYSSLOT ISLOT IISLOT III
MONDAYLFG
TUESDAYKJVacant
WEDNESDAYBCN
THURSDAYAVacantVacant
FRIDAYMDO
SATURDAYHPE

 

Therefore, from the above table, we see that G, O, N, and E all perform in the third slot whereas K performs in the first slot. 

Hence, K is the odd one out.

Question 22

On which of the following days only one person performed?

  1. AOption (a)

    Tuesday

  2. BOption (b)

    Saturday

  3. COption (c)

    Thursday

  4. DOption (d)

    Monday

  5. EOption (e)

    Wednesday

View answer & explanation

Correct answer

Answer: (c)C.

Thursday

Why this answer is correct

Given: 15 people performed in six days from Monday to Saturday in three different slots. Slot I, II and III.

Please note that there are 18 available slots and 15 people. So, 3 slots will remain vacant. 

Based on the given conditions, we get the following possibilities as follows:

1. B performed on Wednesday.

There are two slots between B and K.

B performed after K.

G performed in slot III.

K and G performed adjacent to each other.

K performed after G.

Combining these, we get-

CASE 1
DAYSSLOT ISLOT IISLOT III
MONDAYG
TUESDAYK
WEDNESDAYB
THURSDAY
FRIDAY
SATURDAY

 

2. K and J performed on the same day.

J does not performed in the last slot.

M does not performed in the III slot.

M and D performed on the same day.

The number of slots performed before J is same as after D. 

Combining these, we get-

CASE 1
DAYSSLOT ISLOT IISLOT III
MONDAYG
TUESDAYKJ
WEDNESDAYB
THURSDAY
FRIDAYMD
SATURDAY

 

3. A performed in I slot.

No one performed between A and M.

From this, we get-

CASE 1
DAYSSLOT ISLOT IISLOT III
MONDAYG
TUESDAYKJ
WEDNESDAYB
THURSDAYAVacantVacant
FRIDAYMD
SATURDAY

 

4. O performed immediately before H but in different days.

P, C and F performed in same slot but in different days.

D performed before P but after C.

F performed before C.

Combining this, we get two cases as follows:

CASE 1CASE 2
DAYSSLOT ISLOT IISLOT IIISLOT ISLOT IISLOT III
MONDAYFGG
TUESDAYKJKJF
WEDNESDAYBCBC
THURSDAYAVacantVacantAVacantVacant
FRIDAYMDOMDO
SATURDAYHPHP

 

5. The number of person performed between L and N is same as between N and E.

The slots between L and N are prime in numbers.

Combining these two conditions eliminates Case 2 from above and we get the final arrangement as follows:

SLOTS
DAYSSLOT ISLOT IISLOT III
MONDAYLFG
TUESDAYKJVacant
WEDNESDAYBCN
THURSDAYAVacantVacant
FRIDAYMDO
SATURDAYHPE

 

Therefore, from the above table, we see that only A performed on a Thursday. 

Hence, only one person performed on a Thursday.

Question 23

Who among the following performed in the third slot on a Friday?

  1. AOption (a)

    F

  2. BOption (b)

    K

  3. COption (c)

    M

  4. DOption (d)

    O

  5. EOption (e)

    D

View answer & explanation

Correct answer

Answer: (d)D.

O

Why this answer is correct

Given: 15 people performed in six days from Monday to Saturday in three different slots. Slot I, II and III.

Please note that there are 18 available slots and 15 people. So, 3 slots will remain vacant. 

Based on the given conditions, we get the following possibilities as follows:

1. B performed on Wednesday.

There are two slots between B and K.

B performed after K.

G performed in slot III.

K and G performed adjacent to each other.

K performed after G.

Combining these, we get-

CASE 1
DAYSSLOT ISLOT IISLOT III
MONDAYG
TUESDAYK
WEDNESDAYB
THURSDAY
FRIDAY
SATURDAY

 

2. K and J performed on the same day.

J does not performed in the last slot.

M does not performed in the III slot.

M and D performed on the same day.

The number of slots performed before J is same as after D. 

Combining these, we get-

CASE 1
DAYSSLOT ISLOT IISLOT III
MONDAYG
TUESDAYKJ
WEDNESDAYB
THURSDAY
FRIDAYMD
SATURDAY

 

3. A performed in I slot.

No one performed between A and M.

From this, we get-

CASE 1
DAYSSLOT ISLOT IISLOT III
MONDAYG
TUESDAYKJ
WEDNESDAYB
THURSDAYAVacantVacant
FRIDAYMD
SATURDAY

 

4. O performed immediately before H but in different days.

P, C and F performed in same slot but in different days.

D performed before P but after C.

F performed before C.

Combining this, we get two cases as follows:

CASE 1CASE 2
DAYSSLOT ISLOT IISLOT IIISLOT ISLOT IISLOT III
MONDAYFGG
TUESDAYKJKJF
WEDNESDAYBCBC
THURSDAYAVacantVacantAVacantVacant
FRIDAYMDOMDO
SATURDAYHPHP

 

5. The number of person performed between L and N is same as between N and E.

The slots between L and N are prime in numbers.

Combining these two conditions eliminates Case 2 from above and we get the final arrangement as follows:

SLOTS
DAYSSLOT ISLOT IISLOT III
MONDAYLFG
TUESDAYKJVacant
WEDNESDAYBCN
THURSDAYAVacantVacant
FRIDAYMDO
SATURDAYHPE

 

Therefore, from the above table, we see that O performs in the third slot on a Friday. 

Hence, O performs in the third slot on a Friday.

Question 24

Which of the following combination of people performed on a Wednesday?

  1. AOption (a)

    K, J, A

  2. BOption (b)

    F, G, D

  3. COption (c)

    M, E, P

  4. DOption (d)

    B, C, N

  5. EOption (e)

    G, O, A

View answer & explanation

Correct answer

Answer: (d)D.

B, C, N

Why this answer is correct

Given: 15 people performed in six days from Monday to Saturday in three different slots. Slot I, II and III.

Please note that there are 18 available slots and 15 people. So, 3 slots will remain vacant. 

Based on the given conditions, we get the following possibilities as follows:

1. B performed on Wednesday.

There are two slots between B and K.

B performed after K.

G performed in slot III.

K and G performed adjacent to each other.

K performed after G.

Combining these, we get-

CASE 1
DAYSSLOT ISLOT IISLOT III
MONDAYG
TUESDAYK
WEDNESDAYB
THURSDAY
FRIDAY
SATURDAY

 

2. K and J performed on the same day.

J does not performed in the last slot.

M does not performed in the III slot.

M and D performed on the same day.

The number of slots performed before J is same as after D. 

Combining these, we get-

CASE 1
DAYSSLOT ISLOT IISLOT III
MONDAYG
TUESDAYKJ
WEDNESDAYB
THURSDAY
FRIDAYMD
SATURDAY

 

3. A performed in I slot.

No one performed between A and M.

From this, we get-

CASE 1
DAYSSLOT ISLOT IISLOT III
MONDAYG
TUESDAYKJ
WEDNESDAYB
THURSDAYAVacantVacant
FRIDAYMD
SATURDAY

 

4. O performed immediately before H but in different days.

P, C and F performed in same slot but in different days.

D performed before P but after C.

F performed before C.

Combining this, we get two cases as follows:

CASE 1CASE 2
DAYSSLOT ISLOT IISLOT IIISLOT ISLOT IISLOT III
MONDAYFGG
TUESDAYKJKJF
WEDNESDAYBCBC
THURSDAYAVacantVacantAVacantVacant
FRIDAYMDOMDO
SATURDAYHPHP

 

5. The number of person performed between L and N is same as between N and E.

The slots between L and N are prime in numbers.

Combining these two conditions eliminates Case 2 from above and we get the final arrangement as follows:

SLOTS
DAYSSLOT ISLOT IISLOT III
MONDAYLFG
TUESDAYKJVacant
WEDNESDAYBCN
THURSDAYAVacantVacant
FRIDAYMDO
SATURDAYHPE

 

Therefore, from the above table, we see that B,C,and N performed on a Wednesday. 

Hence, B,C, and N is the required combination.

Directions: Read the following information carefully and answer the questions.

There are six persons A, B, C, D, E and F are sitting in a row facing the north direction and each one of them holding a water bottle. John pours different quantity of water in their bottles. John pours water only once. Total quantity of water is 2 litre. The one who is second from one of the ends holds 250 ml water. After that he pours 350 ml water in a bottle. After that he poured water in bottle E followed by bottle F. B is sitting at one of the ends. There are two person between B and the one which has 300 ml water. There are at most one person between B and the one which has 250 ml water. The one which has 350 ml water is sitting fourth to the right of F. A is second last person to pour water. John poured 500 ml in the last bottle. A is sitting second to the left of the person which has 250 ml water in it. A has double amount of water as compare to F. C is sitting to the left of D but not immediately left.

Question 25

Who among the following holds the bottle which contains the fourth lowest quantity of water?

  1. AOption (a)

    D

  2. BOption (b)

    F

  3. COption (c)

    B

  4. DOption (d)

    A

  5. EOption (e)

    E

View answer & explanation

Correct answer

Answer: (c)C.

B

Why this answer is correct

Given: There are six persons A, B, C, D, E and F are sitting in a row facing the north direction and each one of them holding a water bottle. John pours different quantity of water in their bottles. John pours water only once. Total quantity of water is 2 litre.

Based on the conditions given, we get the following possibilities-

1. The one who is second from one of the ends holds 250 ml water.

B is sitting at one of the ends.

There are two person between B and the one which has 300 ml water.

There are at most one person between B and the one which has 250 ml water.

Combining these, we get-

2. The one which has 350 ml water is sitting fourth to the right of F.

From this, we get-

3. A is sitting second to the left of the person which has 250 ml water in it.

A has double amount of water as compare to F. 

This eliminates Case 1 from the above an we get-

4. C is sitting to the left of D but not immediately left.

The one who is second from one of the ends holds 250 ml water. After that he pours 350 ml water in a bottle. After that he poured water in bottle E followed by bottle F. This states that E is not the first one is whose bottle water was poured. So, E cannot have 250 ml water in a bottle. Also, E is not the last person as well. So, E cannot have 500 ml of water as well. 

Combining these, we get-

  1. Now, the total amount of water poured by John is 2 litres. So, E's bottle will contain → 2000 ml - 1550 ml = 450 ml of water. 

We get the final arrangement as follows:

Therefore, from the above final arrangement we see that, B has the bottle which contains the fourth lowest quantity of water. 

Hence, B has the fourth lowest quantity of water in their bottle.

Question 26

What is the position of E with respect to C?

  1. AOption (a)

    Third to the right

  2. BOption (b)

    Second to the right

  3. COption (c)

    Fourth to the right

  4. DOption (d)

    Third to the left

  5. EOption (e)

    Second to the left

View answer & explanation

Correct answer

Answer: (a)A.

Third to the right

Why this answer is correct

Given: There are six persons A, B, C, D, E and F are sitting in a row facing the north direction and each one of them holding a water bottle. John pours different quantity of water in their bottles. John pours water only once. Total quantity of water is 2 litre.

Based on the conditions given, we get the following possibilities-

1. The one who is second from one of the ends holds 250 ml water.

B is sitting at one of the ends.

There are two person between B and the one which has 300 ml water.

There are at most one person between B and the one which has 250 ml water.

Combining these, we get-

2. The one which has 350 ml water is sitting fourth to the right of F.

From this, we get-

3. A is sitting second to the left of the person which has 250 ml water in it.

A has double amount of water as compare to F. 

This eliminates Case 1 from the above an we get-

4. C is sitting to the left of D but not immediately left.

The one who is second from one of the ends holds 250 ml water. After that he pours 350 ml water in a bottle. After that he poured water in bottle E followed by bottle F. This states that E is not the first one is whose bottle water was poured. So, E cannot have 250 ml water in a bottle. Also, E is not the last person as well. So, E cannot have 500 ml of water as well. 

Combining these, we get-

  1. Now, the total amount of water poured by John is 2 litres. So, E's bottle will contain → 2000 ml - 1550 ml = 450 ml of water. 

We get the final arrangement as follows:

Therefore, from the above final arrangement we see that, E sits third to the right of C. 

Hence, E sits third to the right of C.

Question 27

Who among the following sits to the immediate right of the person who's bottle contains 150ml of water?

  1. AOption (a)

    C

  2. BOption (b)

    D

  3. COption (c)

    E

  4. DOption (d)

    F

  5. EOption (e)

    A

View answer & explanation

Correct answer

Answer: (e)E.

A

Why this answer is correct

Given: There are six persons A, B, C, D, E and F are sitting in a row facing the north direction and each one of them holding a water bottle. John pours different quantity of water in their bottles. John pours water only once. Total quantity of water is 2 litre.

Based on the conditions given, we get the following possibilities-

1. The one who is second from one of the ends holds 250 ml water.

B is sitting at one of the ends.

There are two person between B and the one which has 300 ml water.

There are at most one person between B and the one which has 250 ml water.

Combining these, we get-

2. The one which has 350 ml water is sitting fourth to the right of F.

From this, we get-

3. A is sitting second to the left of the person which has 250 ml water in it.

A has double amount of water as compare to F. 

This eliminates Case 1 from the above an we get-

4. C is sitting to the left of D but not immediately left.

The one who is second from one of the ends holds 250 ml water. After that he pours 350 ml water in a bottle. After that he poured water in bottle E followed by bottle F. This states that E is not the first one is whose bottle water was poured. So, E cannot have 250 ml water in a bottle. Also, E is not the last person as well. So, E cannot have 500 ml of water as well. 

Combining these, we get-

  1. Now, the total amount of water poured by John is 2 litres. So, E's bottle will contain → 2000 ml - 1550 ml = 450 ml of water. 

We get the final arrangement as follows:

Therefore, from the above final arrangement we see that, F has 150 ml of water. A sits to the immediate right of F.  

Hence, A sits to the immediate right of the one who has 150 ml of water.

Question 28

What is the sum of the quantity of water contained in the bottles of B and F?

  1. AOption (a)

    750 ml

  2. BOption (b)

    300 ml

  3. COption (c)

    250 ml

  4. DOption (d)

    500 ml

  5. EOption (e)

    650 ml

View answer & explanation

Correct answer

Answer: (d)D.

500 ml

Why this answer is correct

Given: There are six persons A, B, C, D, E and F are sitting in a row facing the north direction and each one of them holding a water bottle. John pours different quantity of water in their bottles. John pours water only once. Total quantity of water is 2 litre.

Based on the conditions given, we get the following possibilities-

1. The one who is second from one of the ends holds 250 ml water.

B is sitting at one of the ends.

There are two person between B and the one which has 300 ml water.

There are at most one person between B and the one which has 250 ml water.

Combining these, we get-

2. The one which has 350 ml water is sitting fourth to the right of F.

From this, we get-

3. A is sitting second to the left of the person which has 250 ml water in it.

A has double amount of water as compare to F. 

This eliminates Case 1 from the above an we get-

4. C is sitting to the left of D but not immediately left.

The one who is second from one of the ends holds 250 ml water. After that he pours 350 ml water in a bottle. After that he poured water in bottle E followed by bottle F. This states that E is not the first one is whose bottle water was poured. So, E cannot have 250 ml water in a bottle. Also, E is not the last person as well. So, E cannot have 500 ml of water as well. 

Combining these, we get-

  1. Now, the total amount of water poured by John is 2 litres. So, E's bottle will contain → 2000 ml - 1550 ml = 450 ml of water. 

We get the final arrangement as follows:

Therefore, from the above final arrangement we see that, the sum of water contained in the bottles of B and F is 350 ml + 150 ml = 500 ml.

Hence, the required sum is 500 ml.

Question 29

Who among the following has the second highest quantity of water in their bottle?

  1. AOption (a)

    F

  2. BOption (b)

    E

  3. COption (c)

    D

  4. DOption (d)

    C

  5. EOption (e)

    A

View answer & explanation

Correct answer

Answer: (b)B.

E

Why this answer is correct

Given: There are six persons A, B, C, D, E and F are sitting in a row facing the north direction and each one of them holding a water bottle. John pours different quantity of water in their bottles. John pours water only once. Total quantity of water is 2 litre.

Based on the conditions given, we get the following possibilities-

1. The one who is second from one of the ends holds 250 ml water.

B is sitting at one of the ends.

There are two person between B and the one which has 300 ml water.

There are at most one person between B and the one which has 250 ml water.

Combining these, we get-

2. The one which has 350 ml water is sitting fourth to the right of F.

From this, we get-

  1. A is sitting second to the left of the person which has 250 ml water in it.

A has double amount of water as compare to F. 

This eliminates Case 1 from the above an we get-

4. C is sitting to the left of D but not immediately left.

The one who is second from one of the ends holds 250 ml water. After that he pours 350 ml water in a bottle. After that he poured water in bottle E followed by bottle F. This states that E is not the first one is whose bottle water was poured. So, E cannot have 250 ml water in a bottle. Also, E is not the last person as well. So, E cannot have 500 ml of water as well. 

Combining these, we get-

  1. Now, the total amount of water poured by John is 2 litres. So, E's bottle will contain → 2000 ml - 1550 ml = 450 ml of water. 

We get the final arrangement as follows:

Therefore, from the above final arrangement we see that, E has the second highest quantity of water. 

Hence, E has the second highest quantity of water in his bottle.

Question 30

There are two words "EARTHBOUND" and "FACTORIES". In the word "EARTHBOUND" the letters that come towards the left of B are changed into their immediate succeeding letter, B remains unchanged, and the letters that come towards the right of H change into their immediate preceding letter according to the English alphabetical series. In the word "FACTORIES" the letters that appear before N in the English alphabetical series are changed into their immediate succeeding letter and the remaining letters are changed into their immediate preceding letter according to the English alphabetical series. All the letters from both the rearranged words are combined and arranged according to the English alphabetical series from the left to the right. After that, all the repeated vowels and letters are dropped. Which letter will come fourth from the right end of the rearranged sequence?

  1. AOption (a)

    G

  2. BOption (b)

    M

  3. COption (c)

    Q

  4. DOption (d)

    R

  5. EOption (e)

    C

View answer & explanation

Correct answer

Answer: (c)C.

Q

Why this answer is correct

For the word 'EARTHBOUND', we have-

The letters that comes towards the left of B are changed into their immediate succeeding letter and the letters that comes towards the right of H changes into their immediate preceding letter according to the English alphabetical series.

After performing this operation, we get-

WORDEARTHBOUND
CHANGED LETTERSFBSUIANTMC

 

For the word 'FACTORIES', we have-

The letter comes before N in alphabetical series are changes into their immediate succeeding letter and the remaining letters are changes into their immediate preceding letter according to the English alphabetical series. 

After performing this operation, we get-

WORDFACTORIES
CHANGED LETTERSGBDSNQJFR

 

Now, on combining all the changed letters from both the words and arranging them according to the English alphabetical series, we get-

(Left end) A B B C D F F G I J M N N Q R S S T U (Right end)

After dropping the repeated letters and vowels, we get-

(Left end) A C D G I J M Q R T U  (Right end)

Therefore, from the above sequence, we see that the fourth letter from the right end is Q. 

Hence, the fourth letter from the right end is Q.

Directions: Read the following information carefully and answer the questions.

There are six persons A,B,C,D,E,and F are getting different marks. B gets more marks than A but less than D. B gets more marks than E. F gets more marks than C but lower marks than E. C gets more marks than at least one person. The marks scored by F is not an even number.

Note: All the marks are in whole numbers. No one has scored less than 5.

Question 31

If the average of A, C, and E is 17 then what is the possible highest score of F?

  1. AOption (a)

    35

  2. BOption (b)

    18

  3. COption (c)

    51

  4. DOption (d)

    49

  5. EOption (e)

    54

View answer & explanation

Correct answer

Answer: (a)A.

35

Why this answer is correct

Given: There are six persons A,B,C,D,E,and F are getting different marks.

1. B gets more marks than A but less than D. 

From this, we get-

D > B > A

2.  F gets more marks than C but lower marks than E.

From this, we get-

E > F > C

3.  B gets more marks than E. 4. C gets more marks than at least one person.

From this, we get the final sequence as follows:

D > B > E > F > C > A

The average marks of A, C, and E is 17. Therefore, the total score obtained by A, C, and E is = 17 × 3 = 51. 

Now, E scores more than F and all the marks are in whole numbers.

51 or 54 cannot be the maximum score as it will violate the condition the E scores more than F. 

18 or 49 cannot be the the maximum score as it will violate the condition that all the marks are in whole numbers and C scores more than A. 

So, from the given options, the only possible maximum score of F is 35. 

Hence, the maximum possible score of F is 35.

Question 32

The number of persons who score more than E is one less than the number of persons who score less than whom?

  1. AOption (a)

    C

  2. BOption (b)

    D

  3. COption (c)

    A

  4. DOption (d)

    E

  5. EOption (e)

    B

View answer & explanation

Correct answer

Answer: (d)D.

E

Why this answer is correct

Given: There are six persons A,B,C,D,E,and F are getting different marks.

1. B gets more marks than A but less than D. 

From this, we get-

D > B > A

2.  F gets more marks than C but lower marks than E.

From this, we get-

E > F > C

3.  B gets more marks than E. 4. C gets more marks than at least one person.

From this, we get the final sequence as follows:

D > B > E > F > C > A

Therefore, the number of persons who score more than E is one less than the number of persons who score less than E. (2 persons score above E. 3 persons score below E.)

Hence, the number of persons who score more than E is one less than the number of persons who score less than E.

Directions: Read the following information carefully and answer the questions given below:

Ten persons – Q, R, S, T, U, V, W, X, Y and Z – are sitting in two parallel rows of five each such that each person of one row is facing the other person of the other row. Q, R, S, T and U are sitting in the same row called Row 1 facing south while V, W, X, Y and Z are sitting in the other row called Row 2 facing north. Each person likes a different ice cream flavor among – vanilla, guava, black currant, orange, strawberry, litchi, cranberry, pistachio, apple and mango but not necessarily in the same order.

T faces the one who sits third to the right of the one who likes litchi. Z faces the one who likes pistachio and sit at one of the ends. The one who likes pistachio sits second to the left of the one who likes guava. Three persons sit between V and the one who likes vanilla. Q faces the one who sits second to the left of the one who likes mango. The one who likes mango sits to the left of the one who likes black currant. U sits to the right of the one who likes orange and sits opposite the one who likes apple. W faces the one who sit third to the left of the one who likes cranberry. R does not face either X or Y. Y does not like mango.

Question 33

Which flavor does the person, who sits fourth to the right of the one who likes pistachio, like?

  1. AOption (a)

    Vanilla

  2. BOption (b)

    Litchi

  3. COption (c)

    Cranberry

  4. DOption (d)

    Strawberry

  5. EOption (e)

    Orange

View answer & explanation

Correct answer

Answer: (c)C.

Cranberry

Why this answer is correct

Persons – 10; Q, R, S, T, U, V, W, X, Y and Z;

South – Q, R, S, T and U Row 1; North – V, W, X, Y and Z Row 2;

Ice Cream Flavors – Vanilla, guava, black currant, orange, strawberry, litchi, cranberry, pistachio, apple and mango.

  1. T faces the one who sits third to the right of the one who likes litchi.

  2. Z faces the one who likes pistachio and sit at one of the ends.

  3. The one who likes pistachio sits second to the left of the one who likes guava.

  4. Three persons sit between V and the one who likes vanilla.

  5. Q faces the one who sits second to the left of the one who likes mango.

  6. The one who likes mango sits to the left of the one who likes black currant.

  7. U sits to the right of the one who likes orange and sits opposite the one who likes apple.

    From this case 2 is eliminated, as we cannot place U. In case of 1, U sits immediate left of Q.

  1. W faces the one who sit third to the left of the one who likes cranberry.
  2. R does not face either X or Y.
  3. Y does not like mango.  

     From this we get the final arrangement as follows.

Therefore, Q sits fourth to the right of the one who likes pistachio. Q likes cranberry. 

Hence, Q likes cranberry.

Question 34

What is the position of Y with respect to Z?

  1. AOption (a)

    Second to the left

  2. BOption (b)

    Third to the right

  3. COption (c)

    Fourth to the left

  4. DOption (d)

    Third to the left

  5. EOption (e)

    Immediate right

View answer & explanation

Correct answer

Answer: (d)D.

Third to the left

Why this answer is correct

Persons – 10; Q, R, S, T, U, V, W, X, Y and Z;

South – Q, R, S, T and U Row 1; North – V, W, X, Y and Z Row 2;

Ice Cream Flavors – Vanilla, guava, black currant, orange, strawberry, litchi, cranberry, pistachio, apple and mango.

  1. T faces the one who sits third to the right of the one who likes litchi.

  2. Z faces the one who likes pistachio and sit at one of the ends.

  3. The one who likes pistachio sits second to the left of the one who likes guava.

  4. Three persons sit between V and the one who likes vanilla.

  5. Q faces the one who sits second to the left of the one who likes mango.

  6. The one who likes mango sits to the left of the one who likes black currant.

  7. U sits to the right of the one who likes orange and sits opposite the one who likes apple.

    From this case 2 is eliminated, as we cannot place U. In case of 1, U sits immediate left of Q.

  1. W faces the one who sit third to the left of the one who likes cranberry.
  2. R does not face either X or Y.
  3. Y does not like mango.  

     From this we get the final arrangement as follows.

Therefore, Y sits third to the left of Z. 

Hence, Y sits third to the left of Z.

Question 35

Who sits opposite to the person who likes apple?

  1. AOption (a)

    R

  2. BOption (b)

    T

  3. COption (c)

    U

  4. DOption (d)

    Q

  5. EOption (e)

    X

View answer & explanation

Correct answer

Answer: (c)C.

U

Why this answer is correct

Persons – 10; Q, R, S, T, U, V, W, X, Y and Z;

South – Q, R, S, T and U Row 1; North – V, W, X, Y and Z Row 2;

Ice Cream Flavors – Vanilla, guava, black currant, orange, strawberry, litchi, cranberry, pistachio, apple and mango.

  1. T faces the one who sits third to the right of the one who likes litchi.

  2. Z faces the one who likes pistachio and sit at one of the ends.

  3. The one who likes pistachio sits second to the left of the one who likes guava.

  4. Three persons sit between V and the one who likes vanilla.

  5. Q faces the one who sits second to the left of the one who likes mango.

  6. The one who likes mango sits to the left of the one who likes black currant.

  7. U sits to the right of the one who likes orange and sits opposite the one who likes apple.

    From this case 2 is eliminated, as we cannot place U. In case of 1, U sits immediate left of Q.

  1. W faces the one who sit third to the left of the one who likes cranberry.
  2. R does not face either X or Y.
  3. Y does not like mango.  

     From this we get the final arrangement as follows.

Therefore, U sits opposite to the person who likes apple. 

Hence,  U sits opposite to the person who likes apple.

Question 36

How many persons sit in between the persons who like litchi and vanilla respectively?

  1. AOption (a)

    0

  2. BOption (b)

    2

  3. COption (c)

    1

  4. DOption (d)

    Cannot be determined

  5. EOption (e)

    3

View answer & explanation

Correct answer

Answer: (e)E.

3

Why this answer is correct

Persons – 10; Q, R, S, T, U, V, W, X, Y and Z;

South – Q, R, S, T and U Row 1; North – V, W, X, Y and Z Row 2;

Ice Cream Flavors – Vanilla, guava, black currant, orange, strawberry, litchi, cranberry, pistachio, apple and mango.

  1. T faces the one who sits third to the right of the one who likes litchi.

  2. Z faces the one who likes pistachio and sit at one of the ends.

  3. The one who likes pistachio sits second to the left of the one who likes guava.

  4. Three persons sit between V and the one who likes vanilla.

  5. Q faces the one who sits second to the left of the one who likes mango.

  6. The one who likes mango sits to the left of the one who likes black currant.

  7. U sits to the right of the one who likes orange and sits opposite the one who likes apple.

    From this case 2 is eliminated, as we cannot place U. In case of 1, U sits immediate left of Q.

  1. W faces the one who sit third to the left of the one who likes cranberry.
  2. R does not face either X or Y.
  3. Y does not like mango.  

     From this we get the final arrangement as follows.

Therefore, we see that there are three persons who sit between the persons who like litchi and vanilla. 

Hence, 3 persons sit in between them.

Question 37

Who among the following sits to the immediate right of the person who sits opposite to the person who likes black currant?

  1. AOption (a)

    Q

  2. BOption (b)

    R

  3. COption (c)

    Y

  4. DOption (d)

    S

  5. EOption (e)

    Z

View answer & explanation

Correct answer

Answer: (d)D.

S

Why this answer is correct

Persons – 10; Q, R, S, T, U, V, W, X, Y and Z;

South – Q, R, S, T and U Row 1; North – V, W, X, Y and Z Row 2;

Ice Cream Flavors – Vanilla, guava, black currant, orange, strawberry, litchi, cranberry, pistachio, apple and mango.

  1. T faces the one who sits third to the right of the one who likes litchi.

  2. Z faces the one who likes pistachio and sit at one of the ends.

  3. The one who likes pistachio sits second to the left of the one who likes guava.

  4. Three persons sit between V and the one who likes vanilla.

  5. Q faces the one who sits second to the left of the one who likes mango.

  6. The one who likes mango sits to the left of the one who likes black currant.

  7. U sits to the right of the one who likes orange and sits opposite the one who likes apple.

    From this case 2 is eliminated, as we cannot place U. In case of 1, U sits immediate left of Q.

  1. W faces the one who sit third to the left of the one who likes cranberry.
  2. R does not face either X or Y.
  3. Y does not like mango.  

     From this we get the final arrangement as follows.

Therefore, we see that T sits opposite to the person who likes black currant. S sits to the immediate right of T. 

Hence, S sits to the immediate right of T.

Question 38

Directions

Each of the questions below consists of a question and three statements numbered I, II and III. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the three statements and give answer accordingly.

Six persons A, B, C, D, E, and F were born in six different months January, March, April, May, June, and August.

Statement I: Two persons were born between B and E. As many persons were born before E was the same as persons born after D. B was born in a month of 30 days. A was born one month before F.

Statement II: Two persons were born between B and E. As many persons were born before C was the same as persons born after F. D was immediately born before C. C was born before F. C was born in March.

Statement III: F was born after May. Three persons are born between F and D. One person was born between B and D. C was born before F.

How many persons were born after A?

  1. AOption (a)

    The data given in Statement III is sufficient to answer the question.

  2. BOption (b)

    The data given in Statement I alone and Statement II alone is not sufficient to answer the question.

  3. COption (c)

    The data given in both statement I and II is not sufficient to answer the question.

  4. DOption (d)

    The data given in Either Statement I or Statement II is sufficient to answer the question.

  5. EOption (e)

    The data given in both Statement I and Statement III is not sufficient to answer the question.

View answer & explanation

Correct answer

Answer: (d)D.

The data given in Either Statement I or Statement II is sufficient to answer the question.

Why this answer is correct

Statement I: Two persons were born between B and E. As many persons were born before E was the same as persons born after D. B was born in a month of 30 days. A was born one month before F.

MonthPersons
January(31 days)D
March(31 days)C
April(30 days)B
May(31 days)A
June(30 days)F
August(31 days)E

 

Hence, two persons were born after A.

Statement II: Two persons were born between B and E. As many persons were born before C was the same as persons born after F. D was immediately born before C. C was born before F. C was born in March.

MonthPersons
January(31 days)D
March(31 days)C
April(30 days)B
May(31 days)A
June(30 days)F
August(31 days)E

 

Hence, two persons were born after A.

Statement III: F was born after May. Three persons are born between F and D. One person was born between B and D. C was born before F.

MonthPersonsPersons
January(31 days)D
March(31 days)D
April(30 days)B
May(31 days)B
June(30 days)F
August(31 days)F

 

From this, we cannot conclude about the number of persons who were born after A. 

Hence, the data given in either statement I or statement II is sufficient enough to answer the question.

Question 39

Directions

Each of the questions below consists of a question and three statements numbered I, II and III. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the three statements and give answer accordingly.

What is the code for "offers level"?

Statements:

I. "Celebration at peak level" is coded as "dz hx fv jt" "festival celebration begin❞ is coded as "hx ay kr" and "at home festival offers" is coded as "pb jt ul kr".

II. "Peak celebration begin today" is coded as "ay wi hx dz", "celebration level vary" is coded as "cm hx fv" and "peak offers vary from" is coded as "ul se dz cm".

cm.

III. "Festival over today" is coded as "wi kr qo", "new offers begin today" is coded as "wi ay ul gn" and "peak level over at" is coded as "fv qo jt dz".

  1. AOption (a)

    If the data in statement II and statement III together is sufficient to answer the question.

  2. BOption (b)

    If the data in statement I and the data in either statement II or statement III is sufficient to answer the question.

  3. COption (c)

    If the data in statement I and statement II together or statement II and statement III together are sufficient to answer the question.

  4. DOption (d)

    If the data in statements I and III together or the data in statements II and III together is sufficient to answer the question. 

  5. EOption (e)

    If the data in all the statements I, II and III together are necessary to answer the question.

View answer & explanation

Correct answer

Answer: (c)C.

If the data in statement I and statement II together or statement II and statement III together are sufficient to answer the question.

Why this answer is correct

From statement I and II, we get-

I. "Celebration at peak level" is coded as "dz hx fv jt" "festival celebration begin❞ is coded as "hx ay kr" and "at home festival offers" is coded as "pb jt ul kr".

II. "Peak celebration begin today" is coded as "ay wi hx dz", "celebration level vary" is coded as "cm hx fv" and "peak offers vary from" is coded as "ul se dz cm".

cm.

→ "Celebration at peak level" is coded as "dz hx fv jt" ; "Peak celebration begin today" is coded as "ay wi hx dz" ;  "celebration level vary" is coded as "cm hx fv". From this, we see that celebration is coded as hx and peak is coded as dz. 

→ "Celebration at peak level" is coded as "dz hx fv jt" ; "celebration level vary" is coded as "cm hx fv"; "peak offers vary from" is coded as "ul se dz cm". From this, we can deduce that the code for vary is cm and the code for level is fv. Hence, the code for level is fv. 

→ "at home festival offers" is coded as "pb jt ul kr";  "peak offers vary from" is coded as "ul se dz cm" . from this, we see that the code for offers is ul. 

So, the code for "offers level' is "ul fv". 

Therefore, the data in statements I and II together are sufficient to answer the question. 

From statement II and III, we get-

II. "Peak celebration begin today" is coded as "ay wi hx dz", "celebration level vary" is coded as "cm hx fv" and "peak offers vary from" is coded as "ul se dz cm".

cm.

III. "Festival over today" is coded as "wi kr qo", "new offers begin today" is coded as "wi ay ul gn" and "peak level over at" is coded as "fv qo jt dz".

→ "new offers begin today" is coded as "wi ay ul gn"; "peak offers vary from" is coded as "ul se dz cm". From this, we get the code for offers as ul. 

→ "celebration level vary" is coded as "cm hx fv"; "peak level over at" is coded as "fv qo jt dz". From this, we get the code for level as fv. 

So, the code for "offers level' is "ul fv". 

Therefore, the data in statements II and III together are sufficient to answer the question. 

Hence, the data in statement I and statement II together or statement II and statement III together are sufficient to answer the question.

Question 40

Direction: The question given below consists of three statements numbered I, II, and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question and mark your answer accordingly.

Nine boxes A, B, C, D, E, F, G, H and I are kept on nine different shelves in a shop. The bottommost shelf is numbered 1 and the topmost shelf is numbered 9.

I. Box E is kept four shelves above C and on an even-numbered shelf. Two boxes are kept between E and D, which is not kept on the third shelf. I is kept two shelves below D.

II. G is kept immediately below I, which is kept on an odd-numbered shelf. B is kept three shelves above F, which is kept above fourth shelf. A is not kept below H.

III. A is kept above C, which is kept on an even-numbered shelf. G is kept below A but above H. B is not kept below E.

How many boxes are kept between A and H?

  1. AOption (a)

    Data given in both statements I and III are sufficient to answer the given question.

  2. BOption (b)

    Data given in both statements I and II are sufficient to answer the given question.

  3. COption (c)

    Data given in statement III alone is sufficient to answer the given question.

  4. DOption (d)

    Data given in both statements II and III are sufficient to answer the given question.

  5. EOption (e)

    Data given in statement II alone is sufficient to answer the given question.

View answer & explanation

Correct answer

Answer: (b)B.

Data given in both statements I and II are sufficient to answer the given question.

Why this answer is correct

Given:

Nine boxes - A, B, C, D, E, F, G, H and I.

The bottommost shelf is numbered 1 and the topmost shelf is numbered 9.

We have to find out how many boxes are kept between A and H.

From statement I, we get,

  1. Box E is kept four shelves above C and on an even-numbered shelf.

2) Two boxes are kept between E and D, which is not kept on the third shelf.

3) I is kept two shelves below D.

ShelvesCase ICase II
9D
8E
7I
6E
5D
4C
3I
2C
1

 

We cannot determine how many boxes are kept between A and H. So, statement I alone is not sufficient to answer the question.

From statement II, we get,

1) G is kept immediately below I, which is kept on an odd-numbered shelf.

2) B is kept three shelves above F, which is kept above fourth shelf.

3) A is not kept below H.

ShelvesCase ICase IICase IIICase IV
9BB
8BB
7I
6GFF
5FIF
4G
3II
2GG
1

 

We cannot determine how many boxes are kept between A and H. So, statement II alone is not sufficient to answer the question.

From statement III, we get,

1) A is kept above C, which is kept on an even-numbered shelf.

2) G is kept below A but above H.

3) B is not kept below E.

Here so many possibilities exist. We cannot determine how many boxes are kept between A and H. So, statement III alone is not sufficient to answer the question.

On combining statements I and II together, we get,

ShelvesBoxes
9B
8E
7A
6F
5D
4C
3I
2G
1H

 

We can determine five boxes are kept between A and H. So, statement I and II together is sufficient to answer the question.

On combining statements I and III together, we get,

ShelvesCase ICase II
9DB
8BE
7IA
6EA/G
5AD
4G/AC
3H/GI
2CG/H
1HH

 

Here also so many possibilities exist. We cannot determine how many boxes are kept between A and H. So, statement I and III together is not sufficient to answer the question.

On combining statements II and III together, we get,

ShelvesCase ICase IICase IIICase IV
9BBBB
8AA
7AA
6FFFF
5II
4GGCC
3HII
2CCGG
1HHH

 

Here also so many possibilities exist. We cannot determine how many boxes are kept between A and H. So, statement I and III together is not sufficient to answer the question.

Hence, the correct answer is Data given in both statements I and II are sufficient to answer the given question.

Question 41

Direction: In the following question, a given question is followed by information in a few statements. You have to find out the data in which statement is sufficient to answer the question and mark your answer accordingly.

Seven notebooks of different brands viz.- Status, Virat, Target, Oscar, Gold, Desire, and Racer have different numbers of pages. Notebooks of how many brands have more pages than Virat?

  1. AOption (a)

    Only two notebooks have more pages than the notebook of the brand Target. The notebook of brand Virat has more pages than Oscar and Desire but not as many as Racer. 

  2. BOption (b)

    The number of pages of only one notebook is less than Oscar's. Notebook of Virat has more pages than Oscar and Desire but not as many as Gold and Status, who is has less pages than Target. Oscar has less pages than Target and there are two notebooks between them.

  3. COption (c)

    Only three notebooks have more pages than Status. The number of notebooks having more pages than Target is the same as the number of notebooks having less pages than Desire, who does not have the least number of pages.

  4. DOption (d)

    The notebook of Target has less pages only than Gold and Racer but not as much as Oscar and Virat, who do not have the least pages.

  5. EOption (e)

    None of these 

View answer & explanation

Correct answer

Answer: (b)B.

The number of pages of only one notebook is less than Oscar's. Notebook of Virat has more pages than Oscar and Desire but not as many as Gold and Status, who is has less pages than Target. Oscar has less pages than Target and there are two notebooks between them.

Why this answer is correct

Given:

Seven notebooks of different brands viz.- Status, Virat, Target, Oscar, Gold, Desire, and Racer.

We have to find notebooks of how many brands have more pages than Virat.

Let the notebook with the highest number of pages be ranked 1 and the notebook with least number of pages be ranked 7. 

From Option 1, we get,

  1. Only two notebooks have more pages than the notebook of the brand Target.

  2. The notebook of the brand Virat has more pages than Oscar and Desire but not as many as Racer. 

RankNotebook's Brand
1
2
3Target
4
5
6
7

 

We cannot determine how many brands have more pages than Virat. So option 1 is insufficient to answer the question. 

From Option 2, we get,

1) The number of pages of only one notebook is less than Oscar's.

  1. Notebook of Virat has more pages than Oscar and Desire but not as many as Gold and Status, who is has less pages than Target. 

3) Oscar has less pages than Target and there are two notebooks between them.

RankNotebook's Brand
1
2
3Target
4Status
5Virat
6Oscar
7Desire

 

We can determine that two brands have more pages than Virat. So option 2 is sufficient to answer the question. 

From Option 3, we get,

1) Only three notebooks have more pages than Status.

  1. The number of notebooks having more pages than Target is the same as the number of notebooks having less pages than Desire, who does not have the least number of pages.
RankNotebook's Brand
1
2
3
4Status
5
6
7

 

We cannot determine how many brands have more pages than Virat. So option 3 is insufficient to answer the question. 

From Option 4, we get,

  1. The Notebook of Target has less pages only than Gold and Racer but not as much as Oscar and Virat, who do not have the least pages.
RankNotebook's Brand
1Gold/Racer
2Gold/Racer
3Target
4Oscar/Virat
5Oscar/Virat
6Oscar/Virat
7Oscar/Virat

 

We cannot determine how many brands have more pages than Virat. So option 4 is insufficient to answer the question.

Hence, the correct answer is The number of pages of only one notebook is less than Oscar's. Notebook of Virat has more pages than Oscar and Desire but not as many as Gold and Status, who is has less pages than Target. Oscar has less pages than Target and there are two notebooks between them.

Directions: Read the following information carefully and answer the questions.

@, $, # and % symbols are coded as some family relations.

@means P is spouse of Q.

$ means P is sibling of Q.

means P is child of Q.

% means P is parent of Q.

The given relations are as follows:

K@J%GR,RR, RH#J$Q, Q@P%C.

Note:

  1. R is the only niece of P.

  2. Gender of K is same as the gender of G.

  3. Q is the only aunt of H.

Question 42

If C is a male, then what is the total number of female members in the family?

  1. AOption (a)

    Two

  2. BOption (b)

    Four

  3. COption (c)

    One

  4. DOption (d)

    Three

  5. EOption (e)

    Five

View answer & explanation

Correct answer

Answer: (d)D.

Three

Why this answer is correct

Family Chart:

Decoding the Symbols:

Symbol@#$%
MeaningSpouseChildSiblingParent

 

Given relations: K@J%GR,RR, RH#J$Q, Q@P%C.

From these, we get the family blood relation diagram as follows:

Now, it is further given that-

  1. R is the only niece of P.

  2. Gender of K is same as the gender of G.

  3. Q is the only aunt of H.

From these, the genders are determined and we get the final blood relation diagram as follows:

Therefore, from the above final diagram, we see that if C is a male then the total number of female members in the family is three. 

Hence, if C is a male then the total number of female members in the family is three.

Question 43

What is the relation of G with respect to R?

  1. AOption (a)

    Uncle

  2. BOption (b)

    Cousin

  3. COption (c)

    Husband

  4. DOption (d)

    Brother

  5. EOption (e)

    Cannot be determined

View answer & explanation

Correct answer

Answer: (d)D.

Brother

Why this answer is correct

Family Chart:

Decoding the Symbols:

Symbol@#$%
MeaningSpouseChildSiblingParent

 

Given relations: K@J%GR,RR, RH#J$Q, Q@P%C.

From these, we get the family blood relation diagram as follows:

Now, it is further given that-

  1. R is the only niece of P.

  2. Gender of K is same as the gender of G.

  3. Q is the only aunt of H.

From these, the genders are determined and we get the final blood relation diagram as follows:

Therefore, from the above final diagram, we see that G is the brother of R. 

Hence, G is the brother of R.

Question 44

Directions

In each question below is given a statement followed by two assumptions numbered I and II. An assumption is something supposed or taken for granted. You have to consider the statement and the following assumptions and decide which of the assumptions is implicit in the statement.

Statement:

A study on workplace dynamics highlighted that Generation Z employees are comfortable with new technology but may struggle with older computers and machines at work. This "Tech Shame" phenomenon is seen as a common issue requiring attention. While Gen Z individuals grew up with advanced technology, the study emphasizes that not all tech is the same, and tasks involving older equipment like printers or fax machines can be confusing for them. The study suggests that addressing this generation gap in technology is essential for creating a supportive and inclusive workplace.

<br>

Assumption:

I. Tech shaming can have adverse effects on a person's self-esteem, particularly in a society where being tech-savvy is considered crucial for success. It may lead to feelings of isolation and exclusion.

II. Tech shame is a challenge that can impact individuals of all ages, but it poses a particular difficulty for Gen Z employees. Colleagues may assume that Gen Z individuals can effortlessly navigate all technology due to their upbringing, adding pressure on them. However, this assumption may not always be accurate, especially when dealing with older technology.

  1. AOption (a)

    Only I implicit

  2. BOption (b)

    Only II implicit

  3. COption (c)

    Both I and II implicit

  4. DOption (d)

    Either I or II implicit

  5. EOption (e)

    Neither I nor II implicit

View answer & explanation

Correct answer

Answer: (c)C.

Both I and II implicit

Why this answer is correct

The correct answer is option 3 Both I and II implicit.

<br>

Explanation:

I. The statement suggests that tech shaming can have adverse effects on self-esteem, especially in a society valuing tech-savviness. It may lead to feelings of isolation and exclusion. This aligns with the idea presented in the passage, making assumption I implicit.

<br>

II. The statement highlights that tech shame can impact individuals of all ages but poses a specific challenge for Gen Z employees. Colleagues' assumptions about Gen Z's tech capabilities may add pressure. This aligns with the passage's emphasis on the struggles Gen Z employees may face with older technology, supporting assumption II.

<br>

Hence, both assumptions I and II are implicit in the given context.

Question 45

Directions

The following question presents a scenario and then lists assertions that might or might not be potential causes for the scenario. Choose the response that most accurately explains the cause of the given circumstance in the question.

The popularity of podcasts has exploded in recent years, with millions of listeners tuning in to various shows on topics ranging from true crime to comedy. Podcasts offer a convenient and engaging way to consume content, especially for busy people who can listen while commuting, working, or doing household chores. Podcasts also allow for more depth and nuance than other forms of media, such as articles or videos.

Assertions:

I. Podcasts are cheaper and easier to produce than other forms of media, which lowers the barrier to entry and increases the diversity of voices and perspectives.

II. Podcasts cater to niche audiences who are looking for content that is tailored to their specific interests and preferences, rather than mass-produced and generic.

  1. AOption (a)

    Only I

  2. BOption (b)

    Only II

  3. COption (c)

    Both I and II

  4. DOption (d)

    Either I or II

  5. EOption (e)

    Neither I nor II

View answer & explanation

Correct answer

Answer: (c)C.

Both I and II

Why this answer is correct

The scenario discussed here refers to the surge in popularity of podcasts, which have become a mainstream form of media consumption.

According to Assertion I, podcasts have a low production cost and a high accessibility, which enables more people to create and distribute their own shows.

Assertion II describes how podcasts appeal to niche markets and audiences who are looking for specialized and customized content that suits their tastes and needs.

Both assertions accurately explain the cause of the surge in popularity of podcasts.

Hence, the correct answer is Both I and II.

General Awareness (40 questions)

Question 46

Which of the following statements about Self-Help Groups (SHGs) in India are correct?

  1. SHGs have empowered women by providing leadership training, economic independence, and greater representation in local governance.
  2. SHGs primarily focus on agricultural activities and are not involved in non-agricultural businesses.
  3. The government has supported SHGs through initiatives like Deen Dayal Antyodaya Yojana and the SHG-Bank Linkage Programme.
  1. AOption (a)

    1 only

  2. BOption (b)

    2 only

  3. COption (c)

    3 only

  4. DOption (d)

    1 and 2 only

  5. EOption (e)

    1 and 3 only

View answer & explanation

Correct answer

Answer: (e)E.

1 and 3 only

Why this answer is correct

The correct answer is 1 and 3 only.

In News

  • The 26th anniversary of the Kudumbashree mission, a successful Self-Help Group (SHG), was celebrated in Kerala.
  • SHGs have significantly empowered women by enhancing their access to microfinance, entrepreneurship opportunities, and leadership roles in local governance.

Key Points

  • SHGs were supported by government schemes like the Deen Dayal Antyodaya Yojana and SHG-Bank Linkage Programme to promote financial inclusion and empower women.
  • SHGs have faced challenges such as sustainability, dependency on external aid, and issues related to political interference and lack of access to modern technology.

Additional Information

  • Origins of SHGs in India
  • Self-Help Groups in India originated with informal community support groups for collective action, later formalized by organizations like SEWA and MYRADA.
  • Challenges Faced by SHGs
  • SHGs struggle with sustainability, over-reliance on external aid, and the lack of access to technology and larger markets for their products.

Question 47

The Exclusive Economic Zone (EEZ) defined by UNCLOS extends up to how many nautical miles from a coastal state's baseline?

  1. AOption (a)

    100 nautical miles

  2. BOption (b)

    150 nautical miles

  3. COption (c)

    200 nautical miles

  4. DOption (d)

    250 nautical miles

  5. EOption (e)

    300 nautical miles

View answer & explanation

Correct answer

Answer: (c)C.

200 nautical miles

Why this answer is correct

The correct answer is 200 nautical miles.

In News

  • The Exclusive Economic Zone (EEZ) under the United Nations Convention on the Law of the Sea (UNCLOS) extends up to 200 nautical miles from a coastal state's baseline.
  • This zone grants coastal states special rights for exploring, exploiting, conserving, and managing natural resources within the zone.

Key Points

  • The EEZ is a maritime zone where the coastal state holds sovereign rights for resource exploration, but it must also cooperate internationally in the conservation and management of resources.
  • While coastal states have special rights in their EEZ, they must also respect the rights of other states, such as freedom of navigation and overflight.

Additional Information

  • UNCLOS
  • The United Nations Convention on the Law of the Sea (UNCLOS) defines the EEZ and provides the legal framework for maritime activities, including the rights and responsibilities of coastal states.
  • Rights and Responsibilities
  • The coastal state has the responsibility to manage and conserve resources within the EEZ, ensuring sustainable use and protecting marine environments.

Question 48

Which of the following statements about the Pradhan Mantri Kisan Samman Nidhi (PMKISAN) are correct?

  1. PMKISAN provides farmers up to ₹6,000 per year as minimum income support.
  2. The scheme was launched by Prime Minister Narendra Modi in Gorakhpur on 24 February 2019.
  3. PMKISAN was first implemented by the Government of Telangana as the Rythu Bandhu scheme.
  1. AOption (a)

    1 only

  2. BOption (b)

    2 only

  3. COption (c)

    3 only

  4. DOption (d)

    1 and 2 only

  5. EOption (e)

    1 and 3 only

View answer & explanation

Correct answer

Answer: (e)E.

1 and 3 only

Why this answer is correct

The correct answer is 1 and 3 only.

In News

  • Pradhan Mantri Kisan Samman Nidhi (PMKISAN) is a government initiative that provides farmers with ₹6,000 per year as minimum income support.
  • The scheme was announced by Piyush Goyal during the 2019 Interim Union Budget and was implemented in December 2018.

Key Points

  • PMKISAN has a cost of ₹75,000 crore per annum and was launched by Prime Minister Narendra Modi in Gorakhpur on 24 February 2019.
  • PMKISAN was inspired by Telangana's Rythu Bandhu scheme, which provided direct financial assistance to farmers and was praised for its success.

Additional Information

  • PMKISAN Implementation
  • The scheme aims to provide financial assistance to farmers, reducing the dependency on farm loan waivers and promoting direct investment in agriculture.
  • Award Recognition
  • The Ministry of Agriculture and Farmers Welfare recognizes top-performing states and districts based on criteria like data correction, addressing grievances, and timely verification exercises.

Question 49

What is the minimum monetary limit for filing a case before a Debt Recovery Tribunal (DRT) in India?

  1. AOption (a)

    Rs. 10 lakh

  2. BOption (b)

    Rs. 15 lakh

  3. COption (c)

    Rs. 20 lakh

  4. DOption (d)

    Rs. 30 lakh

  5. EOption (e)

    Rs. 40 lakh

View answer & explanation

Correct answer

Answer: (c)C.

Rs. 20 lakh

Why this answer is correct

The correct answer is Rs. 20 lakh.

In News

  • The minimum amount for filing a case before a Debt Recovery Tribunal (DRT) in India is Rs. 20 lakh, which was raised by the Indian Government in 2020.
  • If the disputed amount is below this threshold, the DRT may not have jurisdiction to hear the case.

Key Points

  • Appeals against DRT decisions can be made to the Debt Recovery Appellate Tribunal (DRAT) within 30 days of the DRT order.
  • DRTs are governed under the Securitisation and Reconstruction of Financial Assets and Enforcement of Security Interest Act, 2002 (SARFAESI Act).

Additional Information

  • SARFAESI Act
  • The SARFAESI Act, 2002, allows banks and financial institutions to take possession of defaulting borrowers' properties for recovering loans and provides the legal framework for DRTs and DRATs.
  • Jurisdiction
  • The DRT's jurisdiction is based on the pecuniary limit of Rs. 20 lakh, and it can adjudicate cases only above this threshold.

Question 50

Which of the following statements about PM Gati Shakti are correct?

  1. PM Gati Shakti aims to improve infrastructure by incorporating various government ministries into a single digital platform.
  2. The PM Gati Shakti plan focuses only on transportation infrastructure, excluding industrial and agricultural zones.
  3. PM Gati Shakti includes six pillars, one of which is "Comprehensiveness," which allows for the integration of all infrastructure initiatives of various ministries and departments.
  1. AOption (a)

    1 only

  2. BOption (b)

    2 only

  3. COption (c)

    3 only

  4. DOption (d)

    1 and 2 only

  5. EOption (e)

    1 and 3 only

View answer & explanation

Correct answer

Answer: (e)E.

1 and 3 only

Why this answer is correct

The correct answer is 1 and 3 only.

In News

  • PM Gati Shakti is a National Master Plan aimed at enhancing multi-modal connectivity by integrating infrastructure initiatives from 16 Ministries, including railways and roadways, into a single digital platform.
  • The plan's focus is on improving efficiency, reducing delays, and ensuring seamless connectivity between different modes of transport and infrastructure sectors.

Key Points

  • The PM Gati Shakti plan includes six key pillars: Comprehensiveness, Prioritization, Optimization, Synchronization, Analytical, and Dynamic.
  • It leverages ISRO's spatial planning tools, which provide real-time satellite imagery for monitoring project progress and facilitating data-driven decision-making.
  • The plan ensures that infrastructure projects are executed with a common vision and reduces inefficiencies caused by departments working in silos.

Additional Information

  • Vision of PM Gati Shakti
  • PM Gati Shakti will create a unified digital platform for planning and executing infrastructure projects across different ministries, facilitating better coordination and improved connectivity.
  • Pillars of PM Gati Shakti
  • The six pillars include synchronization of activities, optimization of transport routes, and comprehensive integration of all existing and planned projects for efficient delivery and execution.

Question 51

With which country has TCS signed a 15-year contract to implement the "My Future Fund" auto-enrolment retirement savings scheme?

  1. AOption (a)

    United Kingdom

  2. BOption (b)

    Ireland

  3. COption (c)

    United States

  4. DOption (d)

    Canada

  5. EOption (e)

    Australia

View answer & explanation

Correct answer

Answer: (b)B.

Ireland

Why this answer is correct

The correct answer is Ireland.

In News

  • TCS has signed a 15-year contract with Ireland’s Department of Social Protection to implement and support the "My Future Fund" auto-enrolment retirement savings scheme.
  • The contract involves managing the pensions of approximately 800,000 workers and providing a digital solution for automatic enrolment, record management, and disbursing benefits.

Key Points

  • TCS will deliver these services through its Global Delivery Centre in Letterkenny, Ireland.
  • The "My Future Fund" scheme is part of Ireland’s efforts to enhance retirement savings through automatic enrolment for workers.

Additional Information

  • TCS
  • Tata Consultancy Services (TCS) is a global IT services and consulting company, known for its expertise in delivering digital solutions and managing large-scale projects.
  • My Future Fund
  • "My Future Fund" is Ireland's auto-enrolment retirement savings scheme, designed to help workers save for retirement through automatic enrolment in pension schemes.

Question 52

Which of the following statements about the National Pension System (NPS) is correct?

  1. NPS is a defined-contribution pension scheme regulated by the Pension Fund Regulatory and Development Authority (PFRDA).
  2. NPS is only available to government employees.
  3. NPS contributions are eligible for tax exemptions under Section 80C, Section 80CCC, and Section 80CCD(1) of the Income Tax Act.
  1. AOption (a)

    1 and 2 are correct

  2. BOption (b)

    1 is correct

  3. COption (c)

    2 is correct

  4. DOption (d)

    1 and 3 are correct

  5. EOption (e)

    All are correct

View answer & explanation

Correct answer

Answer: (d)D.

1 and 3 are correct

Why this answer is correct

The correct answer is 1 and 3 are correct.

In News

  • The National Pension System (NPS) is a defined-contribution pension scheme in India, regulated by the Pension Fund Regulatory and Development Authority (PFRDA).
  • Initially designed for government employees, NPS was later opened to all Indian citizens aged 18 to 70, including NRIs and OCI holders.
  • NPS provides tax exemptions under Sections 80C, 80CCC, and 80CCD(1) of the Income Tax Act, along with an additional deduction of ₹50,000 under Section 80CCD(1B).

Key Points

  • In 2018, NPS became a tax-free instrument in India, with the entire corpus being exempt from tax at maturity, and 40% of the annuity becoming tax-free as well.
  • The scheme allows up to ₹1.5 lakh exemption under Section 80C, with an additional ₹50,000 deduction for NPS contributions in the Tier I account.
  • The changes to the tax rules were implemented through amendments in The Income-tax Act, 1961, in the 2019 Union Budget of India.

Additional Information

  • NPS Trust
  • The NPS Trust is responsible for overseeing the assets and funds under NPS and ensuring the best interests of the subscribers.
  • Tax Exemptions
  • The tax benefits under NPS contribute to its popularity as a tax-saving instrument, making it one of the top choices after Equity Linked Savings Schemes (ELSS).
  • Private Fund Managers
  • Private fund managers play an essential role in the NPS, managing the investments and ensuring optimal returns for the subscribers.

Question 53

Which of the following terms is not related to insurance?

  1. AOption (a)

    Premium

  2. BOption (b)

    Underwriting

  3. COption (c)

    Claim

  4. DOption (d)

    Dividend

  5. EOption (e)

    Amortization

View answer & explanation

Correct answer

Answer: (e)E.

Amortization

Why this answer is correct

The correct answer is Amortization.

In News

  • Premium, underwriting, claim, and dividend are all terms directly related to the insurance industry.
  • Amortization refers to the gradual repayment of a debt over time, which is not specifically related to insurance.

Key Points

  • Premium is the amount paid by policyholders to maintain their insurance coverage.
  • Underwriting is the process used by insurers to assess the risk and determine policy terms.
  • A claim is a request made by a policyholder for compensation from the insurance company following a loss.
  • Dividend is the distribution of a portion of an insurer’s profit to policyholders in some types of insurance plans.

Additional Information

  • Insurance Terms
  • Insurance terminology includes terms like premium, underwriting, claims, and dividends, which are essential for understanding policies and insurance processes.
  • Amortization
  • Amortization is more commonly used in finance and accounting, related to loan repayments or the gradual reduction of an asset's value, not specifically insurance.

Question 54

Which of the following statements are correct regarding the Central Registry of Securitisation Asset Reconstruction and Security Interest of India (CERSAI)?

  1. CERSAI was established to prevent frauds in lending against equitable mortgages by keeping a central registry of security interests.
  2. CERSAI is a private company regulated under the provisions of the Companies Act, 2013.
  3. CERSAI was established on 11th March 2011 and serves the financial infrastructure sector in India.
  1. AOption (a)

    1 only 

  2. BOption (b)

    2 only

  3. COption (c)

    1 and 3 only

  4. DOption (d)

    1 and 2 only

  5. EOption (e)

    2 and 3 only

View answer & explanation

Correct answer

Answer: (c)C.

1 and 3 only

Why this answer is correct

The correct answer is 1 and 3 only.

In News

  • CERSAI is a central online security interest registry created to check frauds in lending against equitable mortgages, where people could take multiple loans on the same asset from different banks.
  • CERSAI was established on 11th March 2011 under the provisions of Chapter IV of the Securitisation and Reconstruction of Financial Assets and Enforcement of Security Interest Act, 2002 (SARFAESI Act).
  • It is a public sector company owned by the Government of India, the National Housing Bank, and other stakeholders.

Key Points

  • CERSAI provides an online registry service for recording and tracking security interests in financial assets to enhance transparency in the lending process.
  • The system helps prevent fraud by ensuring that multiple loans cannot be secured against the same asset without proper documentation.
  • The registered office of CERSAI is located in New Delhi, India, and it serves the entire country.

Additional Information

  • CERSAI's Role
  • CERSAI plays a crucial role in the financial infrastructure sector by providing an online platform for financial institutions to register and track security interests.
  • SARFAESI Act
  • CERSAI operates under the SARFAESI Act, 2002, which governs the enforcement of security interests and the regulation of asset reconstruction in India.

Question 55

What is the maximum award one can get from Banking Ombudsman?

  1. AOption (a)

    1 lakh

  2. BOption (b)

    5 lakh

  3. COption (c)

    10 lakh

  4. DOption (d)

    20 lakh

  5. EOption (e)

    25 lakh

View answer & explanation

Correct answer

Answer: (d)D.

20 lakh

Why this answer is correct

Correct option is an option (4) i.e 20 lakh

  • Banking Ombudsman is a senior official appointed by RBI to redress complaints of customers in certain banking services.
  • It comes under section 35 of the Banking Regulation Act 1949.
  • If you have made written complain to the bank and bank has not responded to the complaint in 30 days then you can go to Ombudsman. And the maximum 20 lakhs can be given as a compensation to the customer.
  • At present, there are 21 Banking Ombudsman.
  • All scheduled commercial banks including RRBs come under it.

Question 56

Which of the following statements are correct regarding the National Critical Mineral Mission (NCMM)?

  1. The NCMM aims to secure both domestic and foreign sources of critical minerals, with 1200 exploration projects planned between 2024-25 to 2030-31.
  2. India plans to increase its wind energy capacity from 42 GW to 1000 GW by 2030.
  3. The NCMM includes setting up 4 Mineral Processing Parks and 3 Centres of Excellence for research and development in critical minerals.
  1. AOption (a)

    1 only

  2. BOption (b)

    3 only

  3. COption (c)

    1 and 2 only

  4. DOption (d)

    1 and 3 only

  5. EOption (e)

    2 and 3 only

View answer & explanation

Correct answer

Answer: (d)D.

1 and 3 only

Why this answer is correct

The correct answer is 1 and 3 are only.

In News

  • The National Critical Mineral Mission (NCMM) focuses on securing domestic and foreign critical mineral supply chains, with the goal of increasing self-reliance in mineral resources.
  • India will explore 1,200 projects to identify and assess reserves of critical minerals, with the Geological Survey of India (GSI) leading the efforts from 2024 to 2030.

Key Points

  • The NCMM mission includes the establishment of 4 Mineral Processing Parks and 3 Centres of Excellence to foster research and innovation in the critical mineral sector.
  • The mission supports the expansion of India's clean energy sector, including the utilization of critical minerals for solar, wind, EVs, and energy storage technologies.
  • India is investing in international critical mineral assets through collaborations with countries like Argentina, Australia, and other resource-rich nations.

Additional Information

  • Critical Minerals in Clean Energy
  • Critical minerals like lithium, cobalt, nickel, and rare earth elements are essential for clean energy technologies like solar panels, wind turbines, and electric vehicles.
  • India’s Climate Goals
  • India aims to reduce emissions intensity by 45% by 2030 and achieve 50% of electric power capacity from non-fossil sources by 2030, with a focus on the role of the NCMM in ensuring a stable supply of critical minerals for these goals.

Question 57

Who is the author of the book "The Golden Road: How Ancient India Transformed the World"?

  1. AOption (a)

    William Dalrymple

  2. BOption (b)

    R.K. Narayan

  3. COption (c)

    Amartya Sen

  4. DOption (d)

    Arundhati Roy

  5. EOption (e)

    Chetan Bhagat

View answer & explanation

Correct answer

Answer: (a)A.

William Dalrymple

Why this answer is correct

The correct answer is William Dalrymple.

In News

  • "The Golden Road: How Ancient India Transformed the World" is a 2024 history book written by Scottish historian William Dalrymple.
  • The book explores how India's ideas and influences shaped Eurasia in ancient times.

Key Points

  • The book highlights India's historical contributions to Eurasian civilizations and the spread of Indian ideas.
  • William Dalrymple is a renowned Scottish historian and author known for his works on history and South Asian culture.

Additional Information

  • William Dalrymple
  • Dalrymple is a prominent historian and author, best known for his books on Indian history, including "The Last Mughal" and "City of Djinns."
  • The Golden Road
  • This book discusses India's historical role in the exchange of ideas and trade, emphasizing its influence on Eurasian civilizations.

Question 58

Which of the following statements are correct regarding the TReDS (Trade Receivables Discounting System) platform?

  1. TReDS allows only MSMEs to participate as sellers, while corporates, Government Departments, and PSUs can participate as buyers.
  2. The maximum limit for remittances under TReDS is ₹1 lakh per transaction for MSME sellers.
  3. TReDS platform deals with both receivables factoring and reverse factoring.
  1. AOption (a)

    1 only

  2. BOption (b)

    2 only

  3. COption (c)

    3 only

  4. DOption (d)

    1 and  3 only

  5. EOption (e)

    2 and 3 only

View answer & explanation

Correct answer

Answer: (d)D.

1 and  3 only

Why this answer is correct

The correct answer is 1 and 3 are only.

In News

  • TReDS is an electronic platform for facilitating the financing and discounting of trade receivables, specifically designed for Micro, Small, and Medium Enterprises (MSMEs).
  • The TReDS platform allows MSMEs to participate as sellers, and corporates, Government Departments, and PSUs can participate as buyers.

Key Points

  • TReDS allows for both receivables factoring and reverse factoring, which are essential for facilitating financial transactions.
  • MSMEs can create Factoring Units (FUs) which are used for invoice or bill discounting, and buyers can also create reverse factoring FUs.
  • The transactions processed under TReDS are "without recourse" to the MSMEs, meaning MSMEs are not responsible if the buyer defaults in repayment.
  • The platform is regulated by the Reserve Bank of India (RBI), and participation requires the submission of KYC (Know Your Customer) documents.

Additional Information

  • Factoring Unit (FU)
  • FU is a standardized document used to represent invoices or bills of exchange in TReDS, allowing for trade receivables to be discounted or financed.
  • TReDS Participants
  • Participants in TReDS include MSME sellers, buyers (corporates, government, PSUs), and financiers (banks, NBFCs, and other financial institutions).
  • Settlement File
  • The TReDS platform generates a settlement file, which contains details of amounts to be debited or credited from participants' accounts based on the transaction outcome.

Question 59

For how many years was India elected to the UN Statistical Commission?

  1. AOption (a)

    2 years

  2. BOption (b)

    3 years

  3. COption (c)

    4 years

  4. DOption (d)

    5 years 

  5. EOption (e)

    6 years 

View answer & explanation

Correct answer

Answer: (c)C.

4 years

Why this answer is correct

The correct answer is 4 years.

In News

  • India was elected to the UN Statistical Commission for a four-year term, beginning January 1, 2024.
  • India secured 46 out of 53 votes in a competitive election to gain this prestigious position.

Key Points

  • India's seat on the UN Statistical Commission will begin on January 1, 2024, and last for four years.
  • The election process was competitive, with China and South Korea still vying for the remaining Asia-Pacific seat.
  • India's expertise in statistics, diversity, and demography contributed to its overwhelming success in securing the seat.

Additional Information

  • UN Statistical Commission
  • Established in 1947, it is the highest body in the global statistical system, responsible for setting statistical standards and methods.

Question 60

What is the rating of Amul in the Brand Finance Food & Drink 2024 report?

  1. AOption (a)

    AAA

  2. BOption (b)

    AAA+

  3. COption (c)

    AA+

  4. DOption (d)

    A+

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (b)B.

AAA+

Why this answer is correct

The correct answer is AAA+.

In News

  • Amul has been recognized as the strongest food and dairy brand globally, earning a prestigious AAA+ rating in the Brand Finance Food & Drink 2024 report.
  • The brand strength of Amul was evaluated with a Brand Strength Index (BSI) score of 91.0 out of 100.

Key Points

  • Amul earned the AAA+ rating in Brand Finance's global ranking of the strongest food and dairy brands.
  • The company’s strong performance in familiarity, consideration, and recommendation metrics contributed to its global leadership in the food and dairy sectors.

Additional Information

  • Amul's Brand Strength
  • Amul's brand strength has been built through consistent innovation, effective marketing strategies, and strong consumer trust.
  • Amul's Market Share
  • Amul has an 85% share in the Indian butter market and a 66% share in the cheese market.

Question 61

Which company launched its IPO in November 2024?

  1. AOption (a)

    Niva Bupa Health Insurance

  2. BOption (b)

    ICICI Prudential Life Insurance

  3. COption (c)

    HDFC Bank

  4. DOption (d)

    Axis Bank

  5. EOption (e)

    SBI Life Insurance

View answer & explanation

Correct answer

Answer: (a)A.

Niva Bupa Health Insurance

Why this answer is correct

The correct answer is Niva Bupa Health Insurance.

In News

  • Niva Bupa Health Insurance launched its IPO in November 2024.
  • The IPO was open for subscription from November 7th to 11th, and the shares listed on BSE and NSE on November 14th.

Key Points

  • Issue Price: ₹74 per share.
  • Lot Size: 200 shares.
  • Total Issue Size: ₹2,200 crore, with a fresh issue of ₹800 crore and an offer for sale of ₹1,400 crore.
  • The shares were listed on the BSE and NSE on November 14, 2024.

Additional Information

  • Niva Bupa Health Insurance
  • Niva Bupa Health Insurance is a prominent health insurance company in India, providing a wide range of health insurance products and services.

Question 62

Under which mission were the four Thematic Hubs (T-Hubs) launched in India?

  1. AOption (a)

    Make in India

  2. BOption (b)

    Digital India

  3. COption (c)

    National Quantum Mission

  4. DOption (d)

    BharatGen

  5. EOption (e)

    Samudrayaan

View answer & explanation

Correct answer

Answer: (c)C.

National Quantum Mission

Why this answer is correct

The correct answer is National Quantum Mission (NQM).

In News

  • The four Thematic Hubs (T-Hubs) were launched under the National Quantum Mission (NQM) to advance research and innovation in quantum technologies.
  • The T-Hubs aim to bring together 152 researchers from 43 institutions across 17 states and 2 Union Territories to drive quantum advancements.

Key Points

  • The National Quantum Mission (NQM) is designed to make India a leader in quantum technologies like quantum computing, communication, and precision sensing.
  • Thematic Hubs are part of India's effort to build a vibrant ecosystem for quantum-driven innovations and foster collaborations among academia, industry, and government.

Additional Information

  • National Quantum Mission (NQM)
  • NQM aims to leverage scientific research to position India as a global leader in quantum technology, aligning with the vision of Atmanirbhar Bharat and Viksit Bharat 2047.
  • Thematic Hubs
  • The T-Hubs will drive multi-disciplinary research in quantum technology, combining expertise from fields like physics, computer science, and engineering.

Question 63

What is the maximum limit for remittances under the Indo-Nepal Remittance Facility (INRF) for walk-in customers?

  1. AOption (a)

    INR 1,00,000

  2. BOption (b)

    INR 2,00,000

  3. COption (c)

    INR 50,000

  4. DOption (d)

    INR 5,00,000

  5. EOption (e)

    INR 10,00,000

View answer & explanation

Correct answer

Answer: (c)C.

INR 50,000

Why this answer is correct

The correct answer is INR 50,000.

In News

  • For walk-in customers (non-customers), the maximum remittance limit under the Indo-Nepal Remittance Facility (INRF) is INR 50,000 per transaction.
  • For customers with accounts, the maximum remittance limit is INR 2,00,000 per transaction.

Key Points

  • Walk-in customers can remit up to INR 50,000 per transaction through the Indo-Nepal Remittance Facility.
  • Account-holding customers can remit up to INR 2,00,000 per transaction.
  • The remittance facility is managed by State Bank of India (SBI) for the Indian side and Nepal SBI Bank Limited (NSBL) for disbursal in Nepal.

Additional Information

  • Documents for Remittance
  • Walk-in customers must provide proof of identity (e.g., passport, PAN card, etc.) and the beneficiary's address and phone number in Nepal.
  • Charges for Remittances
  • For transactions up to INR 50,000, charges are INR 5 by the originating bank, INR 20 by SBI, and additional charges if the beneficiary does not have an NSBL account.

Question 64

What is the name of Amazon's initiative to build a global satellite broadband network?

  1. AOption (a)

    Project Starlink

  2. BOption (b)

    Project Kuiper

  3. COption (c)

    Project Horizon

  4. DOption (d)

    Project Satellite

  5. EOption (e)

    Project Internet Connect

View answer & explanation

Correct answer

Answer: (b)B.

Project Kuiper

Why this answer is correct

The correct answer is Project Kuiper.

In News

  • Project Kuiper is Amazon's initiative to build a global satellite broadband network aimed at providing high-speed internet to underserved areas.
  • The project involves launching 3,236 low Earth orbit (LEO) satellites to create a global broadband network.

Key Points

  • Project Kuiper aims to offer varying internet speeds, including 100 Mbps, 400 Mbps, and up to 1 Gbps.
  • The first batch of 27 production satellites is scheduled for launch in April 2025.
  • Project Kuiper is exploring opportunities to enter the Indian market and provide satellite internet services in the country.

Additional Information

  • Global Satellite Network
  • Project Kuiper plans to deploy over 3,000 satellites to provide reliable and high-speed internet worldwide, especially in unserved and underserved regions.
  • Indian Market
  • Amazon's Project Kuiper is exploring entering the Indian market, where there is a significant need for better internet connectivity in remote areas.

Question 65

What is the maximum limit of the Statutory Liquidity Ratio (SLR) in India?

  1. AOption (a)

    20%

  2. BOption (b)

    40%

  3. COption (c)

    50%

  4. DOption (d)

    60%

  5. EOption (e)

    80%

View answer & explanation

Correct answer

Answer: (b)B.

40%

Why this answer is correct

The correct answer is 40%.

In News

  • The maximum limit for the Statutory Liquidity Ratio (SLR) in India is 40%.
  • SLR is the minimum percentage of a bank's total deposits that must be maintained in the form of liquid assets like gold, cash, or government securities.

Key Points

  • SLR is used by the Reserve Bank of India (RBI) to regulate credit growth and manage liquidity in the economy.
  • The SLR percentage can be adjusted by RBI to influence inflation, credit growth, and overall economic stability.
  • Currently, most banks maintain an SLR higher than the minimum required due to a lack of credible lending options.

Additional Information

  • Purpose of SLR
  • SLR helps ensure the solvency of commercial banks by requiring them to hold a portion of their deposits in safe and liquid assets like gold and government bonds.
  • It also controls inflation by reducing liquidity in the market when needed and fosters growth by increasing liquidity when necessary.
  • Penalties for Non-Compliance
  • If a bank fails to maintain the required SLR, it has to pay a penalty to the RBI, which could be up to 5% per annum above the bank rate.

Question 66

Which app is considered the most used messaging app globally with over 2 billion active users?

  1. AOption (a)

    WhatsApp

  2. BOption (b)

    Facebook Messenger

  3. COption (c)

    Telegram

  4. DOption (d)

    Snapchat

  5. EOption (e)

    WeChat

View answer & explanation

Correct answer

Answer: (a)A.

WhatsApp

Why this answer is correct

The correct answer is WhatsApp.

In News

  • WhatsApp is the most used messaging app globally, with over 2 billion active users.
  • The app is available in over 180 countries, making it a widely accessible platform for communication.

Key Points

  • WhatsApp has more than 2 billion active monthly users, a significant portion of the global population.
  • The app sends over 100 billion messages daily, demonstrating its high engagement levels.
  • WhatsApp offers free messaging and calling, making it accessible to a large audience.
  • End-to-end encryption ensures secure communication, adding to its appeal.
  • WhatsApp Business helps small businesses engage with customers effectively, boosting its utility beyond personal communication.

Additional Information

  • WhatsApp Business
  • WhatsApp Business allows small businesses to communicate with their customers directly, enhancing its role in business communication.
  • End-to-End Encryption
  • End-to-end encryption ensures that only the sender and recipient can read the messages, enhancing privacy and security.

Question 67

Which of the following statements are correct regarding the Liberalised Remittance Scheme (LRS) in India?

  1. Resident individuals, including minors, are allowed to remit up to USD 2,50,000 per financial year for permissible current or capital account transactions.
  2. Remittance for any purpose specifically prohibited under Schedule-I, like the purchase of lottery tickets or proscribed magazines, is allowed under LRS.
  3. Remittances under the LRS can be consolidated for family members, but capital account transactions like investment or opening a bank account cannot be consolidated.
  1. AOption (a)

    1 only

  2. BOption (b)

    2 only

  3. COption (c)

    1 and 2 only

  4. DOption (d)

    1 and 3 only

  5. EOption (e)

    2 and 3 only

View answer & explanation

Correct answer

Answer: (d)D.

1 and 3 only

Why this answer is correct

The correct answer is 1 and 3 only.

In News

  • The Liberalised Remittance Scheme (LRS) allows resident individuals to remit up to USD 2,50,000 per financial year for permissible current or capital account transactions.
  • Remittance for purposes specifically prohibited under Schedule-I, such as purchasing lottery tickets or proscribed magazines, is prohibited under LRS.
  • Remittances under LRS can be consolidated for family members, but capital account transactions like opening a bank account or investment cannot be consolidated unless the family members are co-owners or co-partners in the investment.

Key Points

  • Under the LRS, all resident individuals, including minors, can remit up to USD 2,50,000 per financial year for permissible current or capital account transactions.
  • Some of the prohibited items under the LRS include remittances for purposes such as purchasing lottery tickets, margin calls to overseas exchanges, and trading in foreign exchange abroad.
  • Consolidation of remittances for family members is allowed for current account transactions, but capital account transactions such as investments cannot be clubbed unless the family members are co-owners or co-partners.
  • Remittances made for permissible purposes under the LRS are subject to a cumulative limit of USD 2,50,000 per financial year.

Additional Information

  • Prohibited Remittances
  • Remittance for the purchase of FCCBs, margin calls, and trading in foreign exchange abroad are prohibited under the LRS.
  • Additionally, remittances for any purpose prohibited under Schedule-I of FEM (CAT) Rules, such as investments in prohibited businesses, are also not allowed.
  • Consolidation of Remittances
  • Consolidation of remittances is permitted for family members, but capital account transactions like investments cannot be consolidated unless the family members are co-owners or co-partners in the investment.
  • Purpose of LRS
  • The LRS is aimed at allowing residents to remit funds for a variety of purposes, such as private visits abroad, medical treatment, education, and other permissible transactions under FEMA regulations.

Question 68

Which of the following statements are correct regarding the approval of the Pradhan Mantri Awaas Yojana – Gramin (PMAY-G) for FY 2024-25 to 2028-29?

  1. The Union Cabinet has approved the construction of two crore more houses under PMAY-G with financial assistance for FY 2024-2029.
  2. The total outlay for the scheme is Rs. 5,00,000 crore, with a central share of Rs. 2,05,856 crore and a state matching share of Rs. 1,00,281 crore.
  3. The unit assistance for beneficiaries in plain areas is Rs. 1.20 lakh, while in North Eastern and Hill States, it is Rs. 1.30 lakh.
  1. AOption (a)

    1 only

  2. BOption (b)

    2 only

  3. COption (c)

    1 and 3 only

  4. DOption (d)

    1 and 2 only

  5. EOption (e)

    2 and 3 only

View answer & explanation

Correct answer

Answer: (c)C.

1 and 3 only

Why this answer is correct

The correct answer is 1 and 3 only.

In News

  • The Union Cabinet approved the continuation of the Pradhan Mantri Awaas Yojana – Gramin (PMAY-G) for FY 2024-2029 with a total outlay of Rs. 3,06,137 crore.
  • The approval includes the construction of two crore more houses, with a focus on rural areas and people in dilapidated houses.

Key Points

  • The PMAY-G will provide financial assistance for the construction of two crore houses from FY 2024-2029.
  • The total outlay for the scheme is Rs. 3,06,137 crore, with Rs. 2,05,856 crore allocated by the central government and Rs. 1,00,281 crore allocated by the state governments.
  • The unit cost of assistance to beneficiaries is Rs. 1.20 lakh in plain areas and Rs. 1.30 lakh in North Eastern and Hill States.
  • The construction of these houses will benefit nearly 10 crore individuals, ensuring safe, secure housing with basic amenities for those in need.

Additional Information

  • PMAY-G Objectives
  • PMAY-G aims to provide “Housing for All” in rural areas by constructing pucca houses with basic amenities.
  • The program targets vulnerable households, ensuring they live in safe, hygienic, and secure conditions.
  • PMAY-G Implementation Timeline
  • The scheme has been extended until March 2029, continuing from the original 2.95 crore houses target, which was set to be completed by March 2024.
  • Post March 2026, the scheme will be evaluated by NITI Aayog and re-appraised by the EFC for continuation beyond that period.
  • Awaas+ List
  • The Awaas+ list will be updated for identifying eligible rural households using modified exclusion criteria.

Question 69

What is the name of the process that substitutes actual card details with a unique code for secure transactions?

  1. AOption (a)

    Card Tokenization

  2. BOption (b)

    Card Encryption

  3. COption (c)

    Card Authentication

  4. DOption (d)

    Card Verification

  5. EOption (e)

    Card Masking

View answer & explanation

Correct answer

Answer: (a)A.

Card Tokenization

Why this answer is correct

The correct answer is Card Tokenization.

In News

  • Card tokenization is a process that substitutes actual card details with a unique code, or "token," for secure transactions.
  • It enhances security in digital payments by reducing the risk of data breaches in e-commerce transactions.

Key Points

  • Card tokenization substitutes sensitive card details with a secure token, preventing merchants from storing card data.
  • As of December 2024, over 91 crore tokens were issued, securing nearly 98% of e-commerce transactions.
  • The Reserve Bank of India (RBI) mandated tokenization for all merchants and payment processors to enhance cybersecurity.

Additional Information

  • Types of Tokenization
  • Device tokenization: Specific to each device.
  • Card-on-File tokenization: Specific to each merchant.
  • RBI's Mandate
  • RBI’s 2022 mandate ensures merchants and payment processors rely entirely on tokenization for customer card data security.

Question 70

Which ocean is primarily affected by El Nino and La Nina events?

  1. AOption (a)

    Atlantic Ocean

  2. BOption (b)

    Indian Ocean

  3. COption (c)

    Arctic Ocean

  4. DOption (d)

    Pacific Ocean

  5. EOption (e)

    Southern Ocean

View answer & explanation

Correct answer

Answer: (d)D.

Pacific Ocean

Why this answer is correct

The correct answer is Pacific Ocean.

In News

  • El Nino and La Nina are complex weather phenomena primarily caused by variations in ocean temperatures in the Equatorial Pacific Ocean.
  • Both El Nino and La Nina events are phases of the El Nino-Southern Oscillation (ENSO) cycle, which affects the Pacific Ocean's sea surface temperatures.

Key Points

  • El Nino and La Nina events cause significant weather changes, such as droughts and floods, that primarily impact the Pacific Ocean region.
  • These events influence global weather patterns, including in countries bordering the Pacific Ocean such as Australia, the United States, and South America.

Additional Information

  • El Nino
  • El Nino refers to the unusual warming of surface waters in the eastern tropical Pacific Ocean.
  • It typically leads to extreme weather conditions such as floods and droughts across multiple regions globally.
  • La Nina
  • La Nina is characterized by the cooling of surface waters in the Pacific Ocean, which results in different weather patterns like droughts in some areas and heavy rains in others.

Question 71

Pavel Durov who was arrested in paris recently is the CEO of which company?

  1. AOption (a)

    Telegram

  2. BOption (b)

    Whatsapp

  3. COption (c)

    Meta

  4. DOption (d)

    Linkedin

  5. EOption (e)

    None of the above

View answer & explanation

Correct answer

Answer: (a)A.

Telegram

Why this answer is correct

The correct answer is Telegram.

In News

  • Pavel Durov is the founder and former CEO of Telegram, a popular messaging app.
  • He has been in the news for his legal battles and ongoing issues with French authorities.

Key Points

  • Pavel Durov is known for creating Telegram, which he co-founded in 2013 with his brother Nikolai Durov.
  • Telegram has grown to become one of the largest messaging platforms globally, known for its privacy features.

Additional Information

  • Telegram
  • Telegram is a cloud-based messaging app known for its speed, security, and user-friendly interface.
  • The app supports a wide range of content sharing, including text, images, video, and encrypted messaging.

Question 72

Who is the sponsor of the 2024 Ultimate Table Tennis (UTT) league?

  1. AOption (a)

    IndianOil

  2. BOption (b)

    JioStar

  3. COption (c)

    Tata

  4. DOption (d)

    Star Sports

  5. EOption (e)

    None of the above

View answer & explanation

Correct answer

Answer: (a)A.

IndianOil

Why this answer is correct

The correct answer is IndianOil.

In News

  • IndianOil is the title sponsor for the 2024 Ultimate Table Tennis (UTT) league, marking its third consecutive year as the sponsor.
  • JioStar and Star Sports have become the official broadcast and streaming partners for the league.

Key Points

  • IndianOil has been the title sponsor for the UTT league for three consecutive years, including in 2023 and 2024.
  • JioStar and Star Sports have partnered as official broadcast and streaming partners for the UTT league.
  • IndianOil’s sponsorship highlights its continued support for sports initiatives in India.

Additional Information

  • IndianOil
  • IndianOil is one of India’s largest public sector oil and gas companies and has been a prominent sponsor of various sports events in the country.
  • Ultimate Table Tennis (UTT)
  • Ultimate Table Tennis is India’s professional table tennis league, featuring top national and international players.

Question 73

Which is the best law university as per the NIRF India Rankings 2024?

  1. AOption (a)

    National Law School of India University, Bengaluru

  2. BOption (b)

    National Law University, Delhi

  3. COption (c)

    NALSAR University of Law, Hyderabad

  4. DOption (d)

    Faculty of Law, University of Delhi

  5. EOption (e)

    The West Bengal National University of Juridical Sciences, Kolkata

View answer & explanation

Correct answer

Answer: (a)A.

National Law School of India University, Bengaluru

Why this answer is correct

The correct answer is National Law School of India University, Bengaluru.

In News

  • National Law School of India University, Bengaluru (NLSIU) retains its first position in the Law category for the seventh consecutive year in the NIRF India Rankings 2024.
  • NLSIU has been ranked at the top from 2018 to 2024, showcasing its consistent excellence in legal education.

Key Points

  • National Law School of India University (NLSIU) has held the top position in the NIRF Law category since 2018, with its seventh consecutive win in 2024.
  • The university is renowned for its quality legal education and research initiatives.
  • NLSIU's consistent ranking at the top highlights its contribution to the legal profession and society.

Additional Information

  • National Law School of India University (NLSIU), Bengaluru
  • Founded in 1987, NLSIU is India’s premier law school and is known for its academic excellence and extensive legal research programs.
  • The university has produced many prominent legal professionals, including judges, advocates, and academics.
  • NIRF Rankings
  • The NIRF (National Institutional Ranking Framework) is a ranking system introduced by the Ministry of Education, Government of India, to rank institutions in India based on various parameters like teaching, learning, and resources.

Question 74

Which bank has approved the sale of its Oman operations to Bank Dhofar as part of its foreign operations rationalisation?

  1. AOption (a)

    Bank of Baroda (BoB)

  2. BOption (b)

    State Bank of India (SBI)

  3. COption (c)

    HDFC Bank

  4. DOption (d)

    ICICI Bank

  5. EOption (e)

    Punjab National Bank (PNB)

View answer & explanation

Correct answer

Answer: (a)A.

Bank of Baroda (BoB)

Why this answer is correct

The correct answer is Bank of Baroda (BoB).

In News

  • Bank of Baroda (BoB) has approved the sale of its Oman operations to Bank Dhofar as part of rationalising its foreign operations.
  • The sale is subject to approval from concerned regulatory authorities, with the consideration yet to be decided.

Key Points

  • BoB has been rationalising its foreign operations and had previously closed its wholesale branch in China and divested its stake in Bank of Baroda (Trinidad and Tobago) Ltd.
  • As of March 31, 2024, BoB's total business from international branches was Rs 3,83,409 crore, constituting 16.02% of its global business.
  • The total business of BoB's Oman operations was 113.35 million Omani Rial, with a net worth of 25.54 million Omani Rial.

Additional Information

  • Rationalisation of Foreign Operations
  • Rationalising foreign operations involves strategic decisions to streamline and optimise the bank's global presence.
  • BoB has undertaken such exercises in the past, including closing its branch in China and selling its stake in a Trinidad and Tobago subsidiary.
  • Bank Dhofar
  • Bank Dhofar is one of the major banks in Oman and has now acquired BoB's banking business in the region.

Question 75

Who has been re-elected unanimously as a member of the International Olympic Committee (IOC) at the 142nd session of it from India?

  1. AOption (a)

    Nita Ambani

  2. BOption (b)

    Sushil Kumar

  3. COption (c)

    Deepa Malik

  4. DOption (d)

    Abhinav Bindra

  5. EOption (e)

    P.T. Usha

View answer & explanation

Correct answer

Answer: (a)A.

Nita Ambani

Why this answer is correct

The correct answer is Nita Ambani.

In News

  • Nita Ambani has been re-elected unanimously as a member of the International Olympic Committee (IOC) from India.
  • She received 100% of the votes at the 142nd IOC session held in Paris, ahead of the Paris 2024 Olympic Games.

Key Points

  • Nita Ambani was the first Indian woman to join the IOC, appointed in 2016 during the Rio de Janeiro Olympic Games.
  • She has played a significant role in advocating for India's growth in sports and its Olympic vision.
  • Through the Reliance Foundation, she has reached over 22.9 million children and youth in India with sports programs.
  • The Reliance Foundation is also opening India's first-ever India House at the Paris Olympics, offering support to Indian athletes.

Additional Information

  • Reliance Foundation
  • The Reliance Foundation has been instrumental in promoting sports in India through various initiatives and programs for children and youth.
  • It aims to promote not only sports but also education, health, and rural development in India.
  • International Olympic Committee (IOC)
  • The IOC is responsible for organizing the Olympic Games and promoting the Olympic movement worldwide.
  • It is an important global body in the development and governance of sports and Olympic events.

Question 76

In which bank did Partha Pratim Sengupta hold his previous position before being appointed as MD & CEO of Bandhan Bank?

  1. AOption (a)

    Indian Overseas Bank (IOB)

  2. BOption (b)

    State Bank of India (SBI)

  3. COption (c)

    HDFC Bank

  4. DOption (d)

    ICICI Bank

  5. EOption (e)

    Bank of Baroda

View answer & explanation

Correct answer

Answer: (a)A.

Indian Overseas Bank (IOB)

Why this answer is correct

The correct answer is Indian Overseas Bank (IOB).

In News

  • Partha Pratim Sengupta has been appointed as the Managing Director & CEO of Bandhan Bank for a period of three years.
  • Before this, he served as the Managing Director & CEO of Indian Overseas Bank (IOB).

Key Points

  • Partha Pratim Sengupta has nearly four decades of experience in the banking industry, including roles at both State Bank of India (SBI) and Indian Overseas Bank (IOB).
  • He is known for leveraging technology and innovation to achieve business results during his tenure at IOB and SBI.
  • Sengupta succeeds Ratan Kumar Kesh as the CEO of Bandhan Bank, after Ghosh’s unexpected retirement.

Additional Information

  • Indian Overseas Bank (IOB)
  • Indian Overseas Bank is a public sector bank headquartered in Chennai, India.
  • Sengupta served as MD & CEO of IOB before his new role at Bandhan Bank.
  • State Bank of India (SBI)
  • Sengupta previously held a key role at SBI, rising to the position of Deputy MD and Chief Credit Officer.

Question 77

LIC increases stake in Bank of Maharashtra from 4.05% to what percent after the recent Qualified Institutional Placement (QIP)?

  1. AOption (a)

    5.80%

  2. BOption (b)

    6.20%

  3. COption (c)

    7.10%

  4. DOption (d)

    8.20%

  5. EOption (e)

    None of the above

View answer & explanation

Correct answer

Answer: (c)C.

7.10%

Why this answer is correct

The correct answer is 7.10%.

In News

  • LIC increased its stake in Bank of Maharashtra from 4.05% to 7.10% following a Qualified Institutional Placement (QIP).
  • LIC now holds 7.10% of the bank's shares, a significant rise from its previous stake of 4.05%.

Key Points

  • LIC increased its stake in Bank of Maharashtra to 7.10% after being allotted 25.96 crore equity shares in a QIP.
  • Before the QIP, LIC's shareholding was 4.05%, and it now owns a larger stake of 7.10% in the bank.
  • The QIP is a method for listed companies to raise capital by issuing shares to institutional investors.
  • This increased stake shows LIC's confidence in the growth potential of Bank of Maharashtra.

Additional Information

  • Qualified Institutional Placement (QIP)
  • QIP is a fundraising tool where a listed company issues equity shares to institutional investors.
  • It is a way for companies to raise capital for expansion or other business needs.
  • Bank of Maharashtra
  • Bank of Maharashtra is a public sector bank based in India.
  • The capital infusion from LIC will help the bank strengthen its balance sheet and support its growth plans.

Question 78

Which of the following statements are correct regarding Project Nexus and the Reserve Bank of India's (RBI) involvement?

  1. Project Nexus is an initiative by the Bank for International Settlements (BIS) to enhance cross-border payments by connecting multiple global domestic instant payment systems (IPS).
  2. Project Nexus aims to connect the Fast Payment Systems (FPS) of India, Malaysia, Philippines, Singapore, Thailand, and Indonesia.
  3. The main goal of Project Nexus is to enable cross-border payments between countries in real-time, within 60 seconds, by centralizing the connection through a single platform.
  1. AOption (a)

    1 only

  2. BOption (b)

    2 only

  3. COption (c)

    1 and 2 only

  4. DOption (d)

    1 and 3 only

  5. EOption (e)

    All are correct

View answer & explanation

Correct answer

Answer: (e)E.

All are correct

Why this answer is correct

The correct answer is All are correct.

In News

  • Reserve Bank of India (RBI) has joined Project Nexus, a multilateral initiative aimed at enabling instant cross-border retail payments.
  • Project Nexus connects the Fast Payment Systems (FPS) of multiple countries to enhance the speed and efficiency of cross-border payments.

Key Points

  • Project Nexus is an initiative of the Bank for International Settlements (BIS), aiming to enhance global cross-border payments through instant payment systems.
  • Members of Project Nexus include ASEAN countries like Malaysia, Philippines, Singapore, Thailand, and India as founding members, with Indonesia to join later.
  • The centralization of connections in Project Nexus allows cross-border payments from sender to recipient within 60 seconds (in most cases).
  • The project will help India expand its payment systems' international reach by providing a multilateral platform for efficient global transactions.

Additional Information

  • Bank for International Settlements (BIS)
  • The BIS was established in 1930 and serves as a platform for central banks to collaborate on international financial matters.
  • It is owned by 63 central banks, representing 95% of the world’s GDP.
  • Innovation Hub of BIS
  • The BIS Innovation Hub works on leveraging technology to facilitate responsible innovation in central banking and financial services.
  • Fast Payment Systems (FPS)
  • FPS is designed to enable real-time, instant, and secure payments for individuals and businesses across countries.
  • It is crucial for enhancing financial inclusion, improving economic transactions, and reducing delays in cross-border payments.

Question 79

Which of the following statements are correct regarding the recently approved schemes by the Union Cabinet to improve farmers' lives and increase their incomes?

  1. The Digital Agriculture Mission has a total outlay of Rs 2,817 crore and includes Agri Stack and Krishi Decision Support System.
  2. The initiative for strengthening agricultural education, management, and social sciences has a total outlay of Rs 3,000 crore.
  3. The Sustainable Development of Horticulture scheme has an outlay of Rs 1,129.30 crore and focuses on tropical, sub-tropical, and temperate horticulture crops.
  1. AOption (a)

    1 only

  2. BOption (b)

    2 only

  3. COption (c)

    1 and 3 only

  4. DOption (d)

    1 and 2 only

  5. EOption (e)

    2 and 3 only

View answer & explanation

Correct answer

Answer: (c)C.

1 and 3 only

Why this answer is correct

The correct answer is 1 and 3 only.

In News

  • The Union Cabinet has approved seven schemes to improve farmers' lives and increase their incomes, with a total outlay of Rs 14,235.30 crore.
  • The schemes include initiatives for digital agriculture, crop science, livestock health, horticulture, and more.

Key Points

  • The Digital Agriculture Mission has an outlay of Rs 2,817 crore and focuses on Agri Stack and Krishi Decision Support System using advanced technologies like AI and Big Data.
  • The scheme for strengthening agricultural education, management, and social sciences has a total outlay of Rs 2,291 crore, not Rs 3,000 crore.
  • The Sustainable Development of Horticulture scheme with an outlay of Rs 1,129.30 crore focuses on various horticultural crops, including tropical, sub-tropical, and temperate varieties.
  • The overall goal of these schemes is to increase farmers' income and improve food security by 2047.

Additional Information

  • Digital Agriculture Mission
  • Focuses on the use of technology for improving farmers' lives with tools like Agri Stack and Krishi Decision Support System.
  • Includes advanced data collection and analysis for better crop

Question 80

In October 2024, How much loan has the International Finance Corporation (IFC) provided to Axis Bank to fund green projects in India?

  1. AOption (a)

    USD 300 million

  2. BOption (b)

    USD 500 million

  3. COption (c)

    USD 400 million

  4. DOption (d)

    USD 600 million

  5. EOption (e)

    USD 700 million

View answer & explanation

Correct answer

Answer: (b)B.

USD 500 million

Why this answer is correct

The correct answer is USD 500 million.

In News

  • International Finance Corporation (IFC), the private lending arm of the World Bank Group (WBG), has partnered with Axis Bank to provide a USD 500 million loan.

Key Points

  • The loan aims to develop a blue finance market and support the financing of green projects in India.
  • This is IFC’s first blue investment in India and the first blue transaction by a financial institution in the country.
  • The water and wastewater treatment market in India is expected to grow, with an estimated market size of USD 3 billion by 2029.

Additional Information

  • International Finance Corporation (IFC)
  • IFC is a member of the World Bank Group and focuses on private sector development in emerging markets.
  • Axis Bank
  • Axis Bank is one of India’s leading private sector banks, known for its wide range of financial products and services.

Question 81

What is the name of the online tool launched by DICGC for depositors to track their claim status?

  1. AOption (a)

    Daava Soochak

  2. BOption (b)

    Claim Tracker

  3. COption (c)

    Deposit Watch

  4. DOption (d)

    Daava Portal

  5. EOption (e)

    Insured Deposits Monitor

View answer & explanation

Correct answer

Answer: (a)A.

Daava Soochak

Why this answer is correct

The correct answer is Daava Soochak.

In News

  • The Deposit Insurance and Credit Guarantee Corporation (DICGC) has launched an online tool “Daava Soochak” for depositors to track their claim status.

Key Points

  • Depositors can use the Daava Soochak tool to track the status of their claims for banks placed under All Inclusive Directions (AID) post-April 1, 2024.
  • The DICGC’s primary role is to reimburse insured amounts to depositors of failed banks.
  • The deposit insurance coverage limit has been enhanced to Rs 5,00,000 per depositor as of February 4, 2020.

Additional Information

  • Deposit Insurance and Credit Guarantee Corporation (DICGC)
  • Headquarters: Mumbai, Maharashtra.
  • Chairman: M.D. Patra.

Question 82

How much capital did Deutsche Bank infuse into its Indian operations recently, marking its largest injection in recent years?

  1. AOption (a)

    ₹3,800 crore

  2. BOption (b)

    ₹2,700 crore

  3. COption (c)

    ₹5,113 crore

  4. DOption (d)

    ₹10,000 crore

  5. EOption (e)

    ₹30,000 crore

View answer & explanation

Correct answer

Answer: (c)C.

₹5,113 crore

Why this answer is correct

The correct answer is ₹5,113 crore.

In News

  • Deutsche Bank has infused ₹5,113 crore into its Indian operations, marking its largest capital allocation to the country in recent years.
  • This capital infusion has increased the bank’s regulatory capital in India by 33%, bringing it to nearly ₹30,000 crore.
  • The move demonstrates Deutsche Bank’s long-term commitment to India and its strategic importance in global growth plans.

Key Points

  • This is the largest capital infusion by Deutsche Bank into India, following previous injections of ₹3,800 crore in 2019 and ₹2,700 crore in 2020.
  • Deutsche Bank’s profit after tax in FY24 surged by 35%, indicating strong performance in the Indian market.
  • The bank’s focus areas in India include digital transformation, sustainable finance, and infrastructure development.

Additional Information

  • Historical Investments
  • In 2019, Deutsche Bank infused ₹3,800 crore, followed by ₹2,700 crore in 2020.
  • Over the past decade, the bank’s capital base in India has tripled, reflecting its growth strategy.
  • Focus Areas
  • Digital transformation, sustainable finance, and infrastructure development are key growth areas.
  • India’s role in global supply chain shifts and digital growth underpins Deutsche Bank’s investment strategy.

Question 83

Which type of Government security has recently been included under the Fully Accessible Route (FAR) by the Reserve Bank of India (RBI) for non-resident investment?

  1. AOption (a)

    Treasury Bills

  2. BOption (b)

    10-Year Sovereign Green Bonds (SGrBs)

  3. COption (c)

    Inflation-Indexed Bonds

  4. DOption (d)

    State Development Loans (SDLs)

  5. EOption (e)

    Municipal Bonds

View answer & explanation

Correct answer

Answer: (b)B.

10-Year Sovereign Green Bonds (SGrBs)

Why this answer is correct

The correct answer is 10-Year Sovereign Green Bonds (SGrBs).

In News

  • The Reserve Bank of India (RBI) has included 10-year Sovereign Green Bonds (SGrBs) under the Fully Accessible Route (FAR) for non-resident investments.
  • These bonds will be issued by the government in the second half of FY2024-25, aligning with India’s inclusion in global bond indices.

Key Points

  • The FAR allows non-residents, such as FPIs, NRIs, and OCIs, to invest in specified Government of India securities without investment limits.
  • In FY2024-25, the government plans to issue ₹20,000 crore through four SGrB issuances, including two bonds of 10-year tenor and two of 30-year tenor.
  • Sovereign Green Bonds were first included in the FAR list in 2022-23, reflecting India’s alignment with global sustainability goals.
  • The FAR was introduced by the RBI in 2020 to attract international capital to Indian Government Securities (G-Secs).

Additional Information

  • Fully Accessible Route (FAR)
  • Introduced in 2020 by the RBI and the Government to facilitate non-resident investment in Indian G-Secs.
  • Ensures transparency and unrestricted access for eligible investors, enhancing India’s global financial integration.
  • Sovereign Green Bonds (SGrBs)
  • Issued to fund environmentally sustainable projects, contributing to India’s climate goals.
  • Inclusion in global indices like JPMorgan’s GBI-EM GD index boosts international visibility and investor confidence.

Question 84

Which organization has partnered with Bajaj Finance Ltd. (BFL) by committing $400 million to enhance access to climate finance in India?

  1. AOption (a)

    Asian Development Bank (ADB)

  2. BOption (b)

    International Finance Corporation (IFC)

  3. COption (c)

    United Nations Development Programme (UNDP)

  4. DOption (d)

    World Bank

  5. EOption (e)

    International Monetary Fund (IMF)

View answer & explanation

Correct answer

Answer: (b)B.

International Finance Corporation (IFC)

Why this answer is correct

The correct answer is International Finance Corporation (IFC).

In News

  • The International Finance Corporation (IFC) has partnered with Bajaj Finance Ltd. (BFL), committing 400millionaspartofa400 million as part of a 1 billion fundraising initiative.
  • This investment will expand financing for electric vehicles (EVs), energy-efficient consumer goods (EECG), and women-owned micro-enterprises.
  • The initiative supports India’s climate goals and promotes financial inclusion.

Key Points

  • The partnership will help Bajaj Finance increase its climate loans from 150millionin2024to150 million in 2024 to 600 million by 2027.
  • It focuses on financing electric 2-wheelers, 3-wheelers, 4-wheelers, and energy-efficient products.
  • Special attention is given to empowering women-owned micro-enterprises, promoting gender equality in business.
  • The initiative aligns with India’s climate goals, including reducing emissions intensity by 45% by 2030.

Additional Information

  • About IFC
  • A member of the World Bank Group, IFC focuses on providing development finance and private sector solutions in emerging markets.
  • In 2024, IFC committed a record $56 billion to various projects globally.
  • About Bajaj Finance
  • One of India’s largest non-banking financial companies, BFL offers a diversified portfolio across retail, SMEs, and commercial sectors.
  • BFL’s initiatives are driven by ESG principles and support sustainable development.

Question 85

In October 2024, which bank became the first Indian bank to offer real-time tracking for international money transfers via Swift GPI?

  1. AOption (a)

    HDFC Bank

  2. BOption (b)

    ICICI Bank

  3. COption (c)

    IDFC FIRST Bank

  4. DOption (d)

    Axis Bank

  5. EOption (e)

    State Bank of India

View answer & explanation

Correct answer

Answer: (c)C.

IDFC FIRST Bank

Why this answer is correct

The correct answer is IDFC FIRST Bank.

In News

  • IDFC FIRST Bank, in partnership with Swift, introduced a real-time tracking service for international money transfers in October 2024.
  • This makes IDFC FIRST Bank the first Indian bank to offer end-to-end traceability for cross-border payments.
  • The service is available on the bank’s mobile app and internet banking platforms.

Key Points

  • Swift GPI integration enables real-time monitoring of funds during international transfers.
  • Customers can check the status of funds, whether in transit or credited to the recipient, through the mobile app or internet banking.
  • The service is offered under the “Pay Abroad” feature with no additional charges.
  • Permitted purposes include education, medical expenses, and family maintenance under RBI’s Liberalised Remittance Scheme (LRS).

Additional Information

  • About the Service
  • Alerts users to issues such as incomplete recipient information, enabling quick corrections.
  • Provides transparency and speed akin to UPI and IMPS payments for international transactions.
  • About IDFC FIRST Bank
  • Known for its customer-first philosophy and technology-driven solutions.
  • Aims to align with global banking standards while ensuring ethical and transparent banking services.

English Language (35 questions)

Question 86

Match the Sentence Start (Column 1) with the appropriate Blank P option (Column 5) and Blank Q option (Column 6) to connect to the correct Sentence End (Column 4), forming a single, coherent statement.

Sentence Parts (To Be Matched)Options for Blanks
Column 1 (Sentence Start)Column 2 (Blank P)Column 3 (Filler + Blank Q)Column 4 (Sentence End)Column 5 (Option for Blank P)Column 6 (Option for Blank Q)
A. The failure of the launch was due to(P)____and a lack of (Q)____D. led to a significant public outcry.1. cost overrunsi. rigorous testing
B. When analyzing economic trends, we must consider(P)____in addition to (Q)____E. better opportunities for employment.2. global supply chainsii. consumer confidence
C. Increasing factory output is essential for(P)____and creating (Q)____F. the internal report concluded.3. software malfunctioniii. manufacturing efficiency
  1. AOption (a)

    A - (3) - (i) - F

  2. BOption (b)

    B - (2) - (ii) - E

  3. COption (c)

    C - (1) - (iii) - D

  4. DOption (d)

    A - (1) - (i) - D

  5. EOption (e)

    C - (iii) - (ii) - E

View answer & explanation

Correct answer

Answer: (a)A.

A - (3) - (i) - F

Why this answer is correct

The correct answer is 'A - (3) - (i) - F.'

Key Points

  • The goal is to form a single, coherent and grammatically correct statement.
  • The combination A - (3) - (i) - F achieves this:
  • Sentence A: The failure of the launch was due to (P)____ and a lack of (Q)____ (End)____.
  • P Option (3): software malfunction
  • Q Option (i): rigorous testing
  • End (F): the internal report concluded.
  • Resulting Statement: "The failure of the launch was due to software malfunction and a lack of rigorous testing, the internal report concluded."
  • Analysis: Software malfunction is a direct technical cause of a launch failure, and a lack of rigorous testing is a common contributing factor. The ending, "the internal report concluded," acts as a grammatically sound attribution for the cause of the failure.
  • No other option listed forms a strong, coherent sentence:
  • B - (2) - (ii) - E: "When analyzing economic trends, we must consider global supply chains in addition to consumer confidence, better opportunities for employment." (Grammatically acceptable, but the flow is awkward as E is a desired outcome, not a factor being considered).
  • C - (1) - (iii) - D: "Increasing factory output is essential for cost overruns and creating manufacturing efficiency, led to a significant public outcry." (Illogical, as output is not essential for 'cost overruns' and the grammar of D is incorrect).

Hence, the correct answer is option 1.

Question 87

Match the Sentence Start (Column 1) with the appropriate Blank P option (Column 5) and Blank Q option (Column 6) to connect to the correct Sentence End (Column 4), forming a single, coherent statement.

Sentence Parts (To Be Matched)Options for Blanks
Column 1 (Sentence Start)Column 2 (Blank P)Column 3 (Filler + Blank Q)Column 4 (Sentence End)Column 5 (Option for Blank P)Column 6 (Option for Blank Q)
A. Critics argue that a focus on(P)____fails to address the issue of (Q)____D. has proven difficult to secure.1. market volatilityi. income inequality
B. Although the committee debated(P)____, funding for the project (Q)____E. without proper regulatory oversight.2. the new budget proposalii. ethical implications
C. Rapid advances in medicine allow for(P)____but raise significant (Q)____F. longer, healthier lives.3. pharmaceutical researchiii. infrastructural needs
  1. AOption (a)

    A - (1) - (ii) - D

  2. BOption (b)

    B - (2) - (iii) - D

  3. COption (c)

    C - (3) - (i) - F

  4. DOption (d)

    A - (3) - (i) - E

  5. EOption (e)

    C - (3) - (ii) - E

View answer & explanation

Correct answer

Answer: (e)E.

C - (3) - (ii) - E

Why this answer is correct

The correct answer is Option 5, i.e., 'C - (3) - (ii) - E.'

Key Points

  • The combination C - (3) - (ii) - E is the correct answer.
  • The Coherent Statement:
  • Sentence C: Rapid advances in medicine allow for (P)____ but raise significant (Q)____ (End)____.
  • P Option (3): pharmaceutical research
  • Q Option (ii): ethical implications
  • End (E): without proper regulatory oversight.
  • Resulting Coherent Statement: "Rapid advances in medicine allow for pharmaceutical research but raise significant ethical implications, without proper regulatory oversight."
  • Rationale for Coherence (Based on Option 5):
  • The sentence identifies that advances in medicine facilitate pharmaceutical research (P).
  • A side effect of medical advances is the creation of complex ethical implications (Q), such as questions about life extension or genetic modification.
  • The concluding phrase "without proper regulatory oversight" (E) acts as an adverbial clause, modifying the main verb phrase ("raise significant ethical implications"), suggesting that these issues become especially problematic or significant in the absence of good governance.

Hence, the correct answer is option 5.

Question 88

Directions

Read the passage given below and select the inference(s) that hold true based on the facts in the passage.

Passage:

Public transport is essential for reducing traffic congestion and pollution in cities. Buses, trains, and metros allow large numbers of people to travel efficiently at low cost. However, many cities face challenges like overcrowding, delays, and poor maintenance, which discourage people from using public transport. Governments are investing in modern infrastructure and digital ticketing systems to make it more convenient. Encouraging public transport is not just about mobility but also about building cleaner, greener cities.

Inferences:

I. Public transport helps reduce pollution and traffic.

II. Many people avoid public transport due to its shortcomings.

III. Governments are not taking any steps to improve transport.

  1. AOption (a)

    Both I and II follow.

  2. BOption (b)

    Only III follows.

  3. COption (c)

    Only I follows.

  4. DOption (d)

    All of them follow.

  5. EOption (e)

    None of them follows.

View answer & explanation

Correct answer

Answer: (a)A.

Both I and II follow.

Why this answer is correct

The correct answer is 'Option 1'.

 

Key Points

  • I) Public transport helps reduce pollution and traffic.
  • This can be inferred from the passage. The passage explicitly mentions that public transport is essential for reducing traffic congestion and pollution in cities.
  • II) Many people avoid public transport due to its shortcomings.
  • This can be inferred from the passage. The passage discusses challenges like overcrowding, delays, and poor maintenance that discourage people from using public transport.
  • III) Governments are not taking any steps to improve transport.
  • This cannot be inferred from the passage. The passage mentions that governments are investing in modern infrastructure and digital ticketing systems to improve public transport.

Therefore, the correct answer is Option 1: Both I and II follow.

 

Additional Information

  • Option 2: Only III follows: Incorrect because governments are clearly taking steps to improve public transport, as mentioned in the passage.
  • Option 3: Only I follows: Incorrect because both I and II can be inferred from the passage.
  • Option 4: All of them follow: Incorrect because III cannot be inferred from the passage.
  • Option 5: None of them follows: Incorrect because both I and II follow, as per the passage.

Question 89

Directions

Read the passage given below and select the inference(s) that hold true based on the facts in the passage.

Passage:

Healthy eating is becoming a priority for many people. With rising awareness about lifestyle diseases such as diabetes and obesity, individuals are shifting towards balanced diets that include fruits, vegetables, and whole grains. Restaurants and food companies are also offering healthier options to meet demand. However, junk food continues to attract people, especially the younger generation, due to its taste and easy availability. Experts say that awareness and discipline are key to building long-term healthy eating habits.

Inferences:

I. People are becoming more conscious about their diet choices.

II. Junk food is no longer consumed by anyone.

III. Food industries are adapting to health trends.

  1. AOption (a)

    Only I follows.

  2. BOption (b)

    Both I and III follow.

  3. COption (c)

    Only II follows.

  4. DOption (d)

    All of them follow.

  5. EOption (e)

    None of them follows.

View answer & explanation

Correct answer

Answer: (b)B.

Both I and III follow.

Why this answer is correct

The correct answer is 'Option 2'.

 

Key Points

  • I) People are becoming more conscious about their diet choices.
  • This can be inferred from the passage. The passage explicitly mentions that healthy eating is becoming a priority for many people, indicating increasing awareness about diet choices.
  • II) Junk food is no longer consumed by anyone.
  • This cannot be inferred from the passage. The passage mentions that junk food continues to attract people, especially the younger generation, which contradicts the idea that no one consumes junk food.
  • III) Food industries are adapting to health trends.
  • This can be inferred from the passage. The passage states that restaurants and food companies are offering healthier options to meet the demand for healthy eating.

Therefore, the correct answer is Option 2 (Both I and III follow).

 

Additional Information

  • Option 1 (Only I follows): Incorrect because both I and III can be inferred from the passage.
  • Option 3 (Only II follows): Incorrect because II cannot be inferred from the passage.
  • Option 4 (All of them follow): Incorrect because II cannot be inferred from the passage.
  • Option 5 (None of them follow): Incorrect because both I and III can be inferred from the passage.

Question 90

Directions

Fill in the blanks in the conversation between Person A and Person B with the appropriate phrases provided in the options below. Choose the phrases that best complete the dialogue.

Person A: Healthy diets are becoming a global concern.

Person B: Yes, fast food culture is spreading widely.

Person A: Obesity and lifestyle diseases are increasing.

Person B: People should adopt _________________________, ensuring balanced nutrition _________________________.

  1. AOption (a)

    junk food and carbonated drinks, daily

  2. BOption (b)

    mindful eating habits and fresh produce, in their meals

  3. COption (c)

    excessive sugar intake, for energy

  4. DOption (d)

    ignoring physical activity, for comfort

  5. EOption (e)

    irregular meals, leading to deficiencies

View answer & explanation

Correct answer

Answer: (b)B.

mindful eating habits and fresh produce, in their meals

Why this answer is correct

The correct answer is mindful eating habits and fresh produce, in their meals.

Key Points

  • Let us see the meanings of the given options:​
  • Junk food and carbonated drinks: These are unhealthy options that contribute to obesity and lifestyle diseases.
  • Mindful eating habits and fresh produce: This option promotes balanced nutrition and healthy lifestyle choices.
  • Excessive sugar intake: Consuming too much sugar can lead to energy spikes and crashes, and is not a sustainable option for balanced nutrition.
  • Ignoring physical activity: Lack of exercise leads to comfort but causes health problems in the long run.
  • Irregular meals: Skipping or having irregular meals can lead to nutritional deficiencies and poor health.
  • Therefore, the correct answer is Option 2.

Question 91

Directions

A sentence is given, divided in 4 parts, denoted by (A), (B), (C), (D). There can be a grammatical error in any of the parts (A), (B), (C), (D) which makes the sentence either grammatically or contextually incorrect. Error if any in (A), (B), (C), (D) will only be in two parts and the combination of those parts will be the answer to that question. Mark the answer accordingly.

(A) The United Kingdom competes at the Olympics as Great Britain (B) and include athletes from England, Scotland, Wales, and those British (C) Overseas Territories without their Olympic team, while athletes (D) from Northern Ireland can choose to represent either Great Britain and Ireland.

  • a) BD
  • b) BC
  • c) CD
  • d) AD
  • e) AB
  1. AOption (a)

    a

  2. BOption (b)

    b

  3. COption (c)

    c

  4. DOption (d)

    d

  5. EOption (e)

    e

View answer & explanation

Correct answer

Answer: (a)A.

a

Why this answer is correct

The correct answer is 'a' i.e. (B) & (D)​ are grammatically and meaningfully incorrect.

Key Points

  • In part (B), the use of the plural form of the verb 'include' is incorrect.
  • The subject 'The United Kingdom' in the given sentence is singular.
  • We know that a singular verb is used with a singular subject and a plural verb with a plural subject.
  • Therefore, the singular form of the verb 'includes' should be used with the singular subject 'The United Kingdom'.
  • The singular form of the verb 'includes' should be used in place of the plural form of the verb 'include'.
  • In part (D), the use of the conjunction 'and' is incorrect.
  • We know that 'either' is used in the same sentence as 'or' to show two or more possibilities or choices.
  • Example: You can choose either the red car or the blue car.
  • Therefore, the conjunction 'or' should be used with the conjunction 'either'.
  • The conjunction 'or' should be used in place of the conjunction 'and'.

Correct Sentence: The United Kingdom competes at the Olympics as Great Britain and includes athletes from England, Scotland, Wales, and those British Overseas Territories without their Olympic team, while athletes from Northern Ireland can choose to represent either Great Britain or Ireland.

Hence, the correct answer is option 1.

Question 92

Directions

A sentence is given, divided in 4 parts, denoted by (A), (B), (C), (D). There can be a grammatical error in any of the parts (A), (B), (C), (D) which makes the sentence either grammatically or contextually incorrect. Error if any in (A), (B), (C), (D) will only be in two parts and the combination of those parts will be the answer to that question. Mark the answer accordingly.

(A) The 2020 edition of the tournament was schedule (B) to take place but due to the COVID-19 pandemic, (C) a tournament was postponed until 2021, (D) with the intended host changed to India.

  • a) AD
  • b) BD
  • c) BC
  • d) AC
  • e) CD
  1. AOption (a)

    a

  2. BOption (b)

    b

  3. COption (c)

    c

  4. DOption (d)

    d

  5. EOption (e)

    e

View answer & explanation

Correct answer

Answer: (d)D.

d

Why this answer is correct

The correct answer is 'd' i.e. (A) & (C)​ are grammatically and meaningfully incorrect.

Key Points

  • In part (A), the use of the base form of the verb 'schedule' is incorrect.
  • The given sentence is in the passive voice and it is in the past simple tense.
  • In passive voice, a sentence emphasizes the action or the object of the sentence.
  • ​The passive format of the past simple tense is: "was + V3 (past participle form)"
  • ​Example: A bank was robbed yesterday.
  • Therefore, the past participle form of the verb 'scheduled' should be used in place of the base form of the verb 'schedule'.
  • In part (C), the use of the indefinite article 'a' is incorrect.
  • In the given sentence, the noun 'tournament' is specific.
  • The definite article 'the' is used before singular and plural nouns when the noun is specific.
  • 'A' and 'an' are indefinite articles, which means that they refer to or introduce an unspecified noun.
  • We use 'a' before a consonant sound and 'an' before a vowel sound.
  • 'No article' is used when we refer to general ideas, plurals, or uncountable nouns.
  • Therefore, the definite article 'the' should be used in front of the specific noun 'tournament' in place of the indefinite article 'a'.

Correct Sentence: The 2020 edition of the tournament was scheduled to take place but due to the COVID-19 pandemic, the tournament was postponed until 2021, with the intended host changed to India.

Hence, the correct answer is option 4.

Question 93

Directions

Which of the following phrases (I), (II) and (III) given below the sentence should replace the emboldened phrase to make the sentence grammatically and contextually correct? Choose the best option among the five given alternatives that reflects the correct use of the phrase in the given sentence. If the sentence is correct as it is, mark (e) i.e., 'No correction required' as the answer.

The focus of the discussions were largely on global security which encompassed counterterrorism, radicalisation, drugs trafficking, and illegal arms smuggling, among others.

I. was mainly on global reliability

II. were predominantly on intercontinental safety

III. was, to a large extent, on worldwide security

  1. AOption (a)

    Both I and III

  2. BOption (b)

    Both II and III

  3. COption (c)

    Only III

  4. DOption (d)

    All I, II, III

  5. EOption (e)

    No correction required

View answer & explanation

Correct answer

Answer: (c)C.

Only III

Why this answer is correct

The correct answer is 'Only III'.

Key Points

  • I. The focus of the discussions was mainly on global reliability. In terms of grammar, this is correct. However, in terms of context, the word "reliability" does not fit the scenario described as the topics listed are related to global security issues, not reliability.
  • II. The focus of the discussions were predominantly on intercontinental safety. This choice repeats the original verb error by using "were" instead of "was." Additionally, "intercontinental safety" may not fully capture the scope of concerns such as "counterterrorism, radicalisation, drugs trafficking, and illegal arms smuggling."
  • III. The focus of the discussions was, to a large extent, on worldwide security. This choice uses the correct singular verb "was" with the singular subject "focus." The term "worldwide security" preserves the original context.
  • Therefore, only option III fits the context correctly and correctly matches the singular subject with the singular verb.
  • So, the correct answer is: Only III

Question 94

Directions

Which of the following phrases (I), (II) and (III) given below the sentence should replace the emboldened phrase to make the sentence grammatically and contextually correct? Choose the best option among the five given alternatives that reflects the correct use of the phrase in the given sentence. If the sentence is correct as it is, mark (e) i.e., 'No correction required' as the answer.

Real Madrid is ready to let Gareth Bale left for a cut-price fee of £ 22 million as they continue to try and free up their hefty wage bill.

I. ready to let Gareth Bale going for a cut-price fee

II. ready to let Gareth Bale went for a cut-price fee

III. ready to let Gareth Bale leave for a cut-price fee

  1. AOption (a)

    Only III

  2. BOption (b)

    Only II

  3. COption (c)

    Only I

  4. DOption (d)

    Both I and II

  5. EOption (e)

    No correction required

View answer & explanation

Correct answer

Answer: (a)A.

Only III

Why this answer is correct

The correct answer is 'Option 1'.

Key Points

  • The sentence is incorrect because there is a problem in the highlighted part.
  • The verb ‘left’ is in past tense whereas the sentence is in a future continuous tense.
  • 'Real madrid' is the team name hence it is in the plural form and the plural verb 'are' verb is used.
  • Among the given options, the correct choice is the third one where the verb is in agreement with the sentence.
  • After replacement, the sentence will be “Real Madrid is ready to let Gareth Bale leave for a cut-price fee of £ 22 million as they continue to try and free up their hefty wage bill.”

Therefore, option 1 is the correct answer to this question.

Important Points

  • The future continuous tense is a verb tense that shows an action happening over a period of time in the future.
  • “I will be dancing all night” is an example of the future continuous tense, as it indicates an action continuing over a specific future period of time.

Question 95

Directions

Which of the following phrases (I), (II) and (III) given below the sentence should replace the emboldened phrase to make the sentence grammatically and contextually correct? Choose the best option among the five given alternatives that reflects the correct use of the phrase in the given sentence. If the sentence is correct as it is, mark (e) i.e., 'No correction required' as the answer.

The spike in Goods and Service Tax (GST) collections in February month can be attributed to quarter-end and year-end return filings which taxes are collected in the first month of the subsequent quarter.

I. could be attributed to quarter-end and year-end returned filings

II. can be attributes to quarterly-end and yearly-end return filings

III. will be attributed to quarterly-end and yearly-end return filings

  1. AOption (a)

    Only I

  2. BOption (b)

    Only II

  3. COption (c)

    Only III

  4. DOption (d)

    Only I and II

  5. EOption (e)

    No correction required

View answer & explanation

Correct answer

Answer: (e)E.

No correction required

Why this answer is correct

The correct answer is 'No correction required'.

Key Points

  • There is no error in the given sentence.
  • It might be felt that the preposition 'can be attributed to' is erroneous but it is not so.
  • The tense of the given sentence is present tense.
  • The subject-verb-agreement is absolutely correct in this sentence.
  • attributed: regard something as being caused by. (किसी चीज के कारण होने के संबंध में।)
  • ​Example:- "he attributed the firm's success to the efforts of the managing director"
  • The word attributed is used correctly.
  • Hence, as per the context and grammar, the given sentence is error-free.

Therefore, the correct answer will be option 5.

Directions: Given below is a set of seven sentences, which when properly sequenced, form a coherent paragraph. Statement C is fixed as the 3rd sentence. Arrange the sentences in the correct sequence and answer the questions that follow.

A. It can be a tool for social bonding, establishing authority, or conveying a range of emotions such as interest, affection, or even hostility.

B. Maintaining appropriate eye contact is a key non-verbal skill that varies significantly across cultures and contexts.

C. However, excessive or prolonged eye contact can often be perceived as staring, which may make others uncomfortable and be interpreted as aggressive or threatening.

D. For instance, in many Western societies, direct eye contact is generally encouraged as a sign of honesty, attentiveness, and confidence.

E. Conversely, in some East Asian or African cultures, prolonged or direct eye contact, especially with elders or superiors, might be seen as disrespectful or challenging authority.

F. The study of oculesics, which is the analysis of how the eyes are used in non-verbal communication, reveals its complexity and crucial role.

G. Thus, understanding the nuances of this non-verbal cue is vital to avoid miscommunication and foster better interpersonal relationships.

Question 96

Which of the following should be the FIRST sentence of the coherent paragraph?

  1. AOption (a)

    A

  2. BOption (b)

    B

  3. COption (c)

    D

  4. DOption (d)

    F

  5. EOption (e)

    G

View answer & explanation

Correct answer

Answer: (d)D.

F

Why this answer is correct

The correct answer is Option 4.

 

Key Points

  • Sentences are logically sequenced to introduce the study and significance of oculesics, followed by the explanation of the variations of eye contact in different cultures, and concluding with the importance of understanding these nuances.
  • Sentence F starts by introducing the concept of oculesics.
  • Sentence B follows by emphasizing the importance of appropriate eye contact and its cultural variations.
  • Sentence C (fixed) continues discussion on the perception of excessive eye contact.
  • Sentence A provides further depth on the uses of eye contact.
  • Sentence D gives examples from Western societies.
  • Sentence E contrasts with examples from East Asian or African cultures.
  • Sentence G concludes by highlighting the need to understand these non-verbal cues.

 

Coherent paragraph after rearrangement:

"The study of oculesics, which is the analysis of how the eyes are used in non-verbal communication, reveals its complexity and crucial role. Maintaining appropriate eye contact is a key non-verbal skill that varies significantly across cultures and contexts. However, excessive or prolonged eye contact can often be perceived as staring, which may make others uncomfortable and be interpreted as aggressive or threatening. It can be a tool for social bonding, establishing authority, or conveying a range of emotions such as interest, affection, or even hostility. For instance, in many Western societies, direct eye contact is generally encouraged as a sign of honesty, attentiveness, and confidence. Conversely, in some East Asian or African cultures, prolonged or direct eye contact, especially with elders or superiors, might be seen as disrespectful or challenging authority. Thus, understanding the nuances of this non-verbal cue is vital to avoid miscommunication and foster better interpersonal relationships."

Question 97

Which of the following should be the FIFTH sentence of the coherent paragraph?

  1. AOption (a)

    A

  2. BOption (b)

    B

  3. COption (c)

    D

  4. DOption (d)

    E

  5. EOption (e)

    G

View answer & explanation

Correct answer

Answer: (c)C.

D

Why this answer is correct

The correct answer is Option 3.

 

Key Points

  • Sentences are logically sequenced to introduce the study and significance of oculesics, followed by the explanation of the variations of eye contact in different cultures, and concluding with the importance of understanding these nuances.
  • Sentence F starts by introducing the concept of oculesics.
  • Sentence B follows by emphasizing the importance of appropriate eye contact and its cultural variations.
  • Sentence C (fixed) continues discussion on the perception of excessive eye contact.
  • Sentence A provides further depth on the uses of eye contact.
  • Sentence D gives examples from Western societies.
  • Sentence E contrasts with examples from East Asian or African cultures.
  • Sentence G concludes by highlighting the need to understand these non-verbal cues.

 

Coherent paragraph after rearrangement:

"The study of oculesics, which is the analysis of how the eyes are used in non-verbal communication, reveals its complexity and crucial role. Maintaining appropriate eye contact is a key non-verbal skill that varies significantly across cultures and contexts. However, excessive or prolonged eye contact can often be perceived as staring, which may make others uncomfortable and be interpreted as aggressive or threatening. It can be a tool for social bonding, establishing authority, or conveying a range of emotions such as interest, affection, or even hostility. For instance, in many Western societies, direct eye contact is generally encouraged as a sign of honesty, attentiveness, and confidence. Conversely, in some East Asian or African cultures, prolonged or direct eye contact, especially with elders or superiors, might be seen as disrespectful or challenging authority. Thus, understanding the nuances of this non-verbal cue is vital to avoid miscommunication and foster better interpersonal relationships."

Question 98

What is the correct sequence after incorporating A, B, D, E, and G with the fixed C?

  1. AOption (a)

    F-B-C-A-D-E-G

  2. BOption (b)

    B-A-C-D-E-F-G

  3. COption (c)

    F-A-C-B-D-E-G

  4. DOption (d)

    B-F-C-A-D-E-G

  5. EOption (e)

    F-B-C-A-D-G-E

View answer & explanation

Correct answer

Answer: (a)A.

F-B-C-A-D-E-G

Why this answer is correct

The correct answer is Option 1.

 

Key Points

  • Sentences are logically sequenced to introduce the study and significance of oculesics, followed by the explanation of the variations of eye contact in different cultures, and concluding with the importance of understanding these nuances.
  • Sentence F starts by introducing the concept of oculesics.
  • Sentence B follows by emphasizing the importance of appropriate eye contact and its cultural variations.
  • Sentence C (fixed) continues discussion on the perception of excessive eye contact.
  • Sentence A provides further depth on the uses of eye contact.
  • Sentence D gives examples from Western societies.
  • Sentence E contrasts with examples from East Asian or African cultures.
  • Sentence G concludes by highlighting the need to understand these non-verbal cues.

 

Coherent paragraph after rearrangement:

"The study of oculesics, which is the analysis of how the eyes are used in non-verbal communication, reveals its complexity and crucial role. Maintaining appropriate eye contact is a key non-verbal skill that varies significantly across cultures and contexts. However, excessive or prolonged eye contact can often be perceived as staring, which may make others uncomfortable and be interpreted as aggressive or threatening. It can be a tool for social bonding, establishing authority, or conveying a range of emotions such as interest, affection, or even hostility. For instance, in many Western societies, direct eye contact is generally encouraged as a sign of honesty, attentiveness, and confidence. Conversely, in some East Asian or African cultures, prolonged or direct eye contact, especially with elders or superiors, might be seen as disrespectful or challenging authority. Thus, understanding the nuances of this non-verbal cue is vital to avoid miscommunication and foster better interpersonal relationships."

Question 99

Based on the author's viewpoint presented in the passage, which of the following statements is TRUE?

  1. AOption (a)

    Direct eye contact is universally interpreted as a sign of confidence and honesty.

  2. BOption (b)

    Eye contact is primarily a biological reflex and has little to do with learned social cues.

  3. COption (c)

    The acceptable level of direct eye contact is fixed and does not change based on who you are talking to.

  4. DOption (d)

    The non-verbal communication of the eyes (oculesics) is a complex system that can have both positive and negative implications depending on the cultural setting and context.

  5. EOption (e)

    Prolonged eye contact is only ever considered aggressive, regardless of the cultural background.

View answer & explanation

Correct answer

Answer: (d)D.

The non-verbal communication of the eyes (oculesics) is a complex system that can have both positive and negative implications depending on the cultural setting and context.

Why this answer is correct

The correct answer is Option 4.

 

Key Points

  • Statement A: Direct eye contact is universally interpreted as a sign of confidence and honesty.
  • This statement is incorrect as the passage mentions that the interpretation of direct eye contact varies across cultures. In some cultures, it can be seen as a sign of respect, while in others, it can be viewed as disrespectful.
  • Statement B: Eye contact is primarily a biological reflex and has little to do with learned social cues.
  • This statement is incorrect as the passage highlights the significance of learned social cues in understanding eye contact. Different cultures have different norms for eye contact, indicating its learned aspect.
  • Statement C: The acceptable level of direct eye contact is fixed and does not change based on who you are talking to.
  • This statement is incorrect as the passage indicates that appropriate eye contact varies significantly across different cultures and interpersonal contexts.
  • Statement D: The non-verbal communication of the eyes (oculesics) is a complex system that can have both positive and negative implications depending on the cultural setting and context.
  • This statement is correct as it aligns with the passage's discussion on the complexity and cultural variations of eye contact.
  • Statement E: Prolonged eye contact is only ever considered aggressive, regardless of the cultural background.
  • This statement is incorrect as the passage mentions that in some cultures, prolonged eye contact with elders or superiors might be seen as disrespectful but not necessarily aggressive.

Therefore, the correct answer is: ‘Option 4’.

Question 100

Which of the following is an INCORRECT inference from the passage?

  1. AOption (a)

    The study of oculesics highlights that eye contact is a significant part of non-verbal communication.

  2. BOption (b)

    Different societies have varying standards for what constitutes 'appropriate' eye contact.

  3. COption (c)

    While eye contact can build social bonds, it can also communicate negative feelings like hostility.

  4. DOption (d)

    In some cultures, respecting authority means avoiding prolonged direct eye contact.

  5. EOption (e)

    The passage implies that avoiding miscommunication is the sole reason for understanding eye contact nuances; other reasons are irrelevant.

View answer & explanation

Correct answer

Answer: (e)E.

The passage implies that avoiding miscommunication is the sole reason for understanding eye contact nuances; other reasons are irrelevant.

Why this answer is correct

The correct answer is 'Option 5'.

 

Key Points

  • The study of oculesics highlights that eye contact is a significant part of non-verbal communication.
  • This can be inferred from the passage. The passage explicitly mentions that the study of oculesics reveals the complexity and crucial role of eye contact in non-verbal communication.
  • Different societies have varying standards for what constitutes 'appropriate' eye contact.
  • This can be inferred from the passage. The passage provides examples of how Western societies and some East Asian or African cultures differ in their interpretation of eye contact conventions.
  • While eye contact can build social bonds, it can also communicate negative feelings like hostility.
  • This can be inferred from the passage. The passage mentions that eye contact can convey a range of emotions, including hostility, and that excessive eye contact can be interpreted as threatening or aggressive.
  • In some cultures, respecting authority means avoiding prolonged direct eye contact.
  • This can be inferred from the passage. The passage specifically states that in some East Asian or African cultures, prolonged or direct eye contact with elders or superiors might be seen as challenging authority.
  • The passage implies that avoiding miscommunication is the sole reason for understanding eye contact nuances; other reasons are irrelevant.
  • This cannot be inferred from the passage. While the passage mentions that understanding the nuances of eye contact is important to avoid miscommunication, it does not imply that this is the only reason. Eye contact also serves in social bonding, establishing authority, and conveying emotions.

Therefore, the correct answer is Option 5.

 

Additional Information

  • Only A: Incorrect because both A and C can be inferred from the passage.
  • Only B: Incorrect because B cannot be inferred from the passage.
  • All A, B, and C: Incorrect because B cannot be inferred from the passage.
  • Only C: Incorrect because both A and C can be inferred from the passage.

Question 101

The following words in the final sentence (G) are highlighted: nuances, avoid, foster, interpersonal. Which of the following sequence of words is CORRECT as they appear in the sentence?

  1. AOption (a)

    nuances - avoid - interpersonal - foster

  2. BOption (b)

    interpersonal - foster - avoid - nuances

  3. COption (c)

    avoid - foster - nuances - interpersonal

  4. DOption (d)

    foster - interpersonal - avoid - nuances

  5. EOption (e)

    No rearrangement is required as the words are already in their correct places.

View answer & explanation

Correct answer

Answer: (e)E.

No rearrangement is required as the words are already in their correct places.

Why this answer is correct

The correct answer is 'Option 5'.

Key Points

  • The word "nuances" is correctly placed as it emphasizes the subtle differences of non-verbal cues.
  • The word "avoid" is properly used in suggesting the prevention of miscommunication.
  • The word "foster" appropriately indicates the encouragement of better relationships.
  • The word "interpersonal" correctly describes relationships between people.

Hence, the correct answer is 'Option 5'.

Question 102

Direction: Evaluate the following word, accompanied by three sentences containing it. Determine the sentence(s) that accurately convey the meaning of the given word.

Spare

A. He always keeps a spare set of keys in his office.

B. The coach spared no effort in preparing the team for the championship.

C. She lived a spare lifestyle, devoid of any luxuries.

  1. AOption (a)

    Only A

  2. BOption (b)

    Both A & B

  3. COption (c)

    Only C

  4. DOption (d)

    All A, B & C

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (d)D.

All A, B & C

Why this answer is correct

The correct answer is option 4.

Key Points

  • To answer this question, let’s first understand the meaning of the word given in the question:
  • Spare: Something extra or additional; to refrain from harming or using something excessively; simple or austere in nature. (अतिरिक्त, बचाना, सादा)
  • Now, let’s examine the given sentences:
  • Sentence A: He always keeps a spare set of keys in his office.
  • This sentence correctly uses the word "spare" to describe an extra set of keys kept for contingency purposes.
  • Sentence B: The coach spared no effort in preparing the team for the championship.
  • This sentence correctly uses the word "spared" to mean that the coach did not hold back in terms of effort to prepare the team.
  • Sentence C: She lived a spare lifestyle, devoid of any luxuries.
  • This sentence accurately uses the word "spare" to describe a lifestyle that is simple and austere, lacking any excess or luxury.
  • So, all three sentences correctly use the word "spare" in different contexts.

Therefore, the correct answer is "All A, B, and C."

Question 103

Direction: Evaluate the following word, accompanied by three sentences containing it. Determine the sentence(s) that accurately convey the meaning of the given word.

Incense

A. The fragrant incense filled the room with a soothing aroma.

B. His unjust behavior incensed his colleagues, causing a heated argument.

C. She decided to incense her clothes to get rid of the bad smell.

  1. AOption (a)

    Only A

  2. BOption (b)

    Both A & B

  3. COption (c)

    Only C

  4. DOption (d)

    All A, B & C

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (b)B.

Both A & B

Why this answer is correct

The correct answer is option 2.

Key Points

  • To answer this question, let's first understand the meaning of the word given in the question:
  • Incense: has two common meanings:
  • A substance that produces a pleasant smell when burned (noun).
  • To make someone very angry (verb).
  • Now, let's examine the given sentences:
  • Sentence A: The fragrant incense filled the room with a soothing aroma.
  • This sentence correctly uses the word "incense" in the context of a substance that produces a pleasant smell when burned (noun).
  • Sentence B: His unjust behavior incensed his colleagues, causing a heated argument.
  • This sentence correctly uses the word "incensed" in the sense of making someone very angry (verb).
  • Sentence C: She decided to incense her clothes to get rid of the bad smell.
  • This sentence incorrectly uses the word "incense". The word cannot be used to describe the act of applying it to clothes to remove a bad smell.
  • So, only sentences A and B correctly use the word "incense" in their respective contexts.

Therefore, the correct answer is "Both A & B."

Question 104

Direction: Evaluate the following word, accompanied by three sentences containing it. Determine the sentence(s) that accurately convey the meaning of the given word.

Reprieve

A. The judge granted him a reprieve, delaying his sentence by two months.

B. The sudden reprieve in weather meant the storm would hit tomorrow instead.

C. Her offer to reprieve the contract was met with enthusiasm by the company.

  1. AOption (a)

    Only A

  2. BOption (b)

    Both A & B

  3. COption (c)

    Only C

  4. DOption (d)

    All A, B & C

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (b)B.

Both A & B

Why this answer is correct

The correct answer is option 2.

Key Points

  • To answer this question, let's first understand the meaning of the word given in the question:
  • Reprieve: a temporary relief or delay from something unpleasant or difficult. (राहत, स्थगन)
  • Now, let's examine the given sentences:
  • Sentence A: The judge granted him a reprieve, delaying his sentence by two months.
  • This sentence correctly uses the word "reprieve" to describe the temporary delay of a sentence.
  • Sentence B: The sudden reprieve in weather meant the storm would hit tomorrow instead.
  • This sentence also correctly uses the word "reprieve" to describe a temporary relief in weather conditions.
  • Sentence C: Her offer to reprieve the contract was met with enthusiasm by the company.
  • This sentence incorrectly uses the word "reprieve" since it does not fit the context of temporary relief or delay.

Therefore, the correct answer is "Both A & B."

Directions: Read the given passage carefully to answer the following questions. Each question will have five alternatives as its answer. Choose the correct option as your answer.

In today’s hyper-connected world, a dangerous phenomenon known as Toxic Productivity has taken root, often masked as ambition or dedication. It is the unhealthy, often compulsive, urge to be perpetually working, feeling acute guilt during downtime, and prioritizing the quantifiable metric of output over one's actual mental or physical well-being. Unlike healthy ambition, which is driven by purpose and moderated by balance, toxic productivity is fueled by the fear of inadequacy and a relentless need for external validation. It fosters a culture where being "busy" is conflated with being "important."

This culture is aggressively promoted by both societal pressures and corporate structures. Social media platforms, for instance, are rife with the glorification of the "hustle," where influencers present a skewed, non-stop lifestyle as the only path to success. Corporately, the constant push for lean staffing and aggressive, often unrealistic, deadlines normalizes and rewards toxic habits, such as working late, skipping meals, and ignoring vacation time. This environment subtly punishes genuine work-life balance, making employees fear that time not spent producing is time wasted, leading to chronic anxiety and a refusal to truly unplug. The consequences of this mindset are severe and far-reaching. Psychologically, it rapidly leads to burnout, manifesting as cynicism, exhaustion, and reduced professional efficacy. Ironically, the very goal of achieving more is undermined as constant stress hinders cognitive function and creative problem-solving. Furthermore, the neglect of self-care and sleep precipitates physical health issues, including chronic fatigue and compromised immune function. It is critical to recognize that a constantly 'on' mind is an inefficient mind.

Reversing the effects of toxic productivity requires a fundamental shift in mindset and corporate policy. Solutions begin with ___________: establishing "no-work" times and spaces, and prioritizing rest as a necessary component of productivity, not a reward for work completed. Individuals must learn to differentiate between high-impact "work" and low-value "busywork." Ultimately, a healthier, more sustainable view of work-life balance must be adopted, one that judges success by quality of life and genuine achievement, rather than simply hours clocked.

Question 105

According to the passage, which of the following is a characteristic of toxic productivity?

  1. AOption (a)

    It is encouraged by healthy ambition.

  2. BOption (b)

    It is driven by a balanced lifestyle.

  3. COption (c)

    It prioritizes mental well-being over output.

  4. DOption (d)

    It is fueled by the fear of inadequacy.

  5. EOption (e)

    It ensures high cognitive function.

View answer & explanation

Correct answer

Answer: (d)D.

It is fueled by the fear of inadequacy.

Why this answer is correct

The correct answer is Option 4.

 

Key Points

  • Toxic productivity is described as being fueled by the fear of inadequacy in the passage.
  • Unlike healthy ambition, toxic productivity prioritizes output over well-being and is driven by a relentless need for external validation.
  • Other characteristics include the experience of guilt during downtime and the normalization of unhealthy work habits.

Therefore, the correct answer is Option 4.

 

Passage Excerpt: "Unlike healthy ambition, which is driven by purpose and moderated by balance, toxic productivity is fueled by the fear of inadequacy and a relentless need for external validation."

 

Additional Information

  • Option 1: Toxic productivity is not encouraged by healthy ambition, as it is unhealthy and compulsive.
  • Option 2: Toxic productivity is not driven by a balanced lifestyle; rather, it lacks balance.
  • Option 3: It does not prioritize mental well-being over output; instead, it overlooks well-being.
  • Option 5: Toxic productivity does not ensure high cognitive function; it actually hinders it due to constant stress.

Question 106

The passage states that toxic productivity is often:

  1. AOption (a)

    Moderated by balance.

  2. BOption (b)

    Driven by purpose and intrinsic motivation.

  3. COption (c)

    A result of the refusal to unplug and rest.

  4. DOption (d)

    Prioritized by the neglect of self-care and sleep.

  5. EOption (e)

    Encouraged by reduced professional efficacy.

View answer & explanation

Correct answer

Answer: (c)C.

A result of the refusal to unplug and rest.

Why this answer is correct

The correct answer is Option 3.

 

Key Points

  • The passage mentions that toxic productivity leads to employees fearing that time not spent producing is time wasted, which results in chronic anxiety and a refusal to truly unplug.
  • This refusal to rest and constantly being "on" contributes directly to the phenomenon of toxic productivity.
  • Other passages describe toxic productivity as prioritizing output over well-being and as a response to fear of inadequacy.

Therefore, the correct answer is Option 3.

 

Passage Excerpt: "This environment subtly punishes genuine work-life balance, making employees fear that time not spent producing is time wasted, leading to chronic anxiety and a refusal to truly unplug."

 

Additional Information

  • Option 1: Toxic productivity is not moderated by balance; it lacks balance.
  • Option 2: It is not driven by purpose and intrinsic motivation; it is driven by fear of inadequacy and the need for validation.
  • Option 4: Prioritizing neglect of self-care and sleep describes a consequence of toxic productivity, not a characteristic often leading to it.
  • Option 5: Reduced professional efficacy is a result of toxic productivity, not an encouragement for it.

Question 107

Which of the following can be inferred from the passage about corporate structures?

  1. AOption (a)

    They universally discourage toxic productivity.

  2. BOption (b)

    They allocate ample time for employees' rest and relaxation.

  3. COption (c)

    They reward behaviours such as skipping meals and working late.

  4. DOption (d)

    They foster a culture of genuine work-life balance.

  5. EOption (e)

    They focus primarily on mental well-being over output.

View answer & explanation

Correct answer

Answer: (c)C.

They reward behaviours such as skipping meals and working late.

Why this answer is correct

The correct answer is 'Option 3'.

 

Key Points

  • Option 3: They reward behaviours such as skipping meals and working late.
  • This can be inferred from the passage. The passage states that corporate structures normalize and reward toxic habits such as working late, skipping meals, and ignoring vacation time, contributing to a culture of toxic productivity.
  • Option 1: They universally discourage toxic productivity.
  • This cannot be inferred from the passage. The passage indicates that corporate structures promote toxic productivity, not discourage it.
  • Option 2: They allocate ample time for employees' rest and relaxation.
  • This cannot be inferred from the passage. The passage mentions that time for rest and relaxation is often ignored due to toxic productivity.
  • Option 4: They foster a culture of genuine work-life balance.
  • This cannot be inferred from the passage. The passage indicates that corporate structures foster toxic productivity, not genuine work-life balance.
  • Option 5: They focus primarily on mental well-being over output.
  • This cannot be inferred from the passage. The passage highlights that corporate structures prioritize output over mental well-being.

Therefore, the correct answer is Option 3.

 

Additional Information

  • Option 1: Incorrect because the passage indicates that corporate structures often promote toxic productivity, not discourage it.
  • Option 2: Incorrect because the passage mentions that time for rest and relaxation is often ignored due to toxic productivity.
  • Option 4: Incorrect because the passage indicates that corporate structures foster toxic productivity, not genuine work-life balance.
  • Option 5: Incorrect because the passage highlights that corporate structures prioritize output over mental well-being.

Question 108

From the passage, it can be inferred that reversing toxic productivity at a corporate level involves:

  1. AOption (a)

    Avoiding any kind of high-pressure deadlines.

  2. BOption (b)

    Suspending all social media activity during work hours.

  3. COption (c)

    Encouraging employees to never work overtime under any circumstances.

  4. DOption (d)

    Establishing clear boundaries between work and personal time.

  5. EOption (e)

    Mandating frequent relocations to keep the workplace environment dynamic.

View answer & explanation

Correct answer

Answer: (d)D.

Establishing clear boundaries between work and personal time.

Why this answer is correct

The correct answer is 'Option 4'.

 

Key Points

  • Option 4: Establishing clear boundaries between work and personal time.
  • This can be inferred from the passage. The passage suggests solutions such as establishing "no-work" times and spaces, which involves setting boundaries between work and personal time.
  • Option 1: Avoiding any kind of high-pressure deadlines.
  • This cannot be inferred from the passage. While the passage mentions unrealistic deadlines, it does not suggest avoiding all high-pressure deadlines.
  • Option 2: Suspending all social media activity during work hours.
  • This cannot be inferred from the passage. The passage critiques social media's role in promoting toxic productivity but does not propose suspending social media activity entirely.
  • Option 3: Encouraging employees to never work overtime under any circumstances.
  • This cannot be inferred from the passage. The passage suggests prioritizing rest and establishing boundaries but does not advocate for an absolute ban on overtime.
  • Option 5: Mandating frequent relocations to keep the workplace environment dynamic.
  • This cannot be inferred from the passage. The passage does not mention mandating frequent relocations as a solution to toxic productivity.

Therefore, the correct answer is Option 4.

 

Additional Information

  • Option 1: Incorrect because the passage does not suggest avoiding all high-pressure deadlines.
  • Option 2: Incorrect because the passage does not propose suspending all social media activity.
  • Option 3: Incorrect because the passage does not suggest an absolute ban on overtime.
  • Option 5: Incorrect because the passage does not mention frequent relocations as a solution.

Question 109

Which of the following most accurately states the main idea of the passage?

  1. AOption (a)

    Social media platforms promote a balanced lifestyle.

  2. BOption (b)

    Corporations are the sole drivers of toxic productivity.

  3. COption (c)

    Toxic productivity is a harmful phenomenon that requires systemic changes to address.

  4. DOption (d)

    Productivity should always be measured in quantifiable metrics.

  5. EOption (e)

    The relentless pursuit of success guarantees professional efficiency.

View answer & explanation

Correct answer

Answer: (c)C.

Toxic productivity is a harmful phenomenon that requires systemic changes to address.

Why this answer is correct

The correct answer is Option 3.

 

Key Points

  • The passage describes toxic productivity as an unhealthy and harmful phenomenon fueled by societal and corporate pressures.
  • It mentions the serious psychological and physical consequences of this mindset, including burnout and health issues.
  • The passage advocates for systemic changes, such as policy shifts and mindset alterations, to address and reverse the effects of toxic productivity.

Therefore, the correct answer is Option 3.

 

Passage Excerpt: "Reversing the effects of toxic productivity requires a fundamental shift in mindset and corporate policy. Solutions begin with… establishing 'no-work' times and spaces, and prioritizing rest as a necessary component of productivity..."

 

Additional Information

  • Option 1: The passage states that social media promotes a non-stop lifestyle, not a balanced lifestyle.
  • Option 2: The passage states that both societal pressures and corporate structures drive toxic productivity, not just corporations.
  • Option 4: The passage argues against measuring productivity solely in quantifiable metrics, advocating instead for a balance between rest and work.
  • Option 5: The passage contends that the relentless pursuit of success actually undermines professional efficiency due to stress-related consequences.

Question 110

According to the passage, which of the following statements is/are correct?

A) Chronic fatigue is one of the health issues caused by toxic productivity.

B) Toxic productivity often leads to increased creative problem-solving.

C) A constantly 'on' mind promotes efficiency.

  1. AOption (a)

    Only A

  2. BOption (b)

    Only B

  3. COption (c)

    Only C

  4. DOption (d)

    A and C

  5. EOption (e)

    B and C

View answer & explanation

Correct answer

Answer: (a)A.

Only A

Why this answer is correct

The correct answer is Option 1.

 

Key Points

  • Statement A: Chronic fatigue is one of the health issues caused by toxic productivity.
  • This statement is correct as it accurately reflects the context provided in the passage.
  • Statement B: Toxic productivity often leads to increased creative problem-solving.
  • This statement is incorrect. The passage mentions that toxic productivity hinders cognitive function and creative problem-solving.
  • Statement C: A constantly 'on' mind promotes efficiency.
  • This statement is incorrect as the passage indicates that a constantly 'on' mind is an inefficient mind.

Therefore, the correct answer is: ‘Only A’.

Question 111

According to the passage, which of the following is incorrect?

A) Toxic productivity is often masked as dedication.

B) Healthy ambition is driven by external validation.

C) Toxic productivity fosters a culture where being busy is seen as being important.

  1. AOption (a)

    Only A

  2. BOption (b)

    Only B

  3. COption (c)

    Only C

  4. DOption (d)

    A and B

  5. EOption (e)

    A and C

View answer & explanation

Correct answer

Answer: (b)B.

Only B

Why this answer is correct

The correct answer is Option 2.

 

Key Points

  • Statement A: Toxic productivity is often masked as dedication.
  • This statement is correct as the passage states that toxic productivity is often masked as ambition or dedication.
  • Statement B: Healthy ambition is driven by external validation.
  • This statement is incorrect as the passage indicates healthy ambition is driven by purpose and moderated by balance, not by external validation.
  • Statement C: Toxic productivity fosters a culture where being busy is seen as being important.
  • This statement is correct as the passage mentions that toxic productivity fosters a culture where being "busy" is conflated with being "important."

Therefore, the correct answer is: ‘Only B’.

Question 112

Fill in the blank from the passage: "Reversing the effects of toxic productivity requires a fundamental shift in mindset and corporate policy. Solutions begin with ___________: establishing "no-work" times and spaces, and prioritizing rest as a necessary component of productivity, not a reward for work completed."

  1. AOption (a)

    increasing workloads

  2. BOption (b)

    reducing office hours

  3. COption (c)

    setting firm boundaries

  4. DOption (d)

    mandating productivity reports

  5. EOption (e)

    rewarding overtime

View answer & explanation

Correct answer

Answer: (c)C.

setting firm boundaries

Why this answer is correct

The correct answer is 'setting firm boundaries'.

 

Key Points

  • The phrase "setting firm boundaries" aligns with the idea of establishing "no-work" times and spaces, and prioritizing rest.
  • In the given context, it means clearly defining when work should stop and leisure or personal time should begin.
  • The other options: "increasing workloads," "reducing office hours," "mandating productivity reports," and "rewarding overtime" do not fit the context as appropriately.

​Therefore, the correct answer is 'Option 3'.

Complete Sentence: Reversing the effects of toxic productivity requires a fundamental shift in mindset and corporate policy. Solutions begin with setting firm boundaries: establishing "no-work" times and spaces, and prioritizing rest as a necessary component of productivity, not a reward for work completed.

Additional Information

  • Increasing workloads (काम का बोझ बढ़ाना): means adding more tasks or responsibilities, which would worsen toxic productivity.
  • Reducing office hours (कार्यालय के घंटे कम करना): may help but is not as directly related to setting specific boundaries.
  • Mandating productivity reports (उत्पादकता रिपोर्ट अनिवार्य कर देना): would enforce monitoring but not relieve toxic productivity.
  • Rewarding overtime (ओवरटाइम का इनाम देना): would encourage the work culture contributing to toxic productivity.

Question 113

Which of the following words is similar in meaning to "perpetually" as used in the passage?

  1. AOption (a)

    Temporarily

  2. BOption (b)

    Sporadically

  3. COption (c)

    Occasionally

  4. DOption (d)

    Constantly

  5. EOption (e)

    Rarely

View answer & explanation

Correct answer

Answer: (d)D.

Constantly

Why this answer is correct

The correct answer is: Option 4 i.e., Constantly.

Key Points

  • The word "perpetually" means something that is continuous or enduring forever; it implies a state of non-stop or ceaseless existence. (सदैव, लगातार)
  • Example: She was perpetually worried about her son's safety.
  • "Constantly" refers to doing something continuously over a period of time, without interruption or change. (लगातार)
  • Example: He is constantly working on improving his skills.
  • Hence, we can infer that the meaning of 'perpetually' is similar to 'constantly'.

Therefore, the correct answer is: Constantly.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

  • Temporarily (अस्थायी रूप से): Lasting for a limited period of time.
  • Example: The shop is temporarily closed for renovation.
  • Sporadically (छिटपुट रूप से): Occurring at irregular intervals or only in a few places; scattered or isolated.
  • Example: The car had been sporadically serviced over the years.
  • Occasionally (कभी-कभी): At infrequent or irregular intervals; now and then.
  • Example: She would occasionally call her mother to catch up.
  • Rarely (कभी कभार): Not often; seldom.
  • Example: He rarely goes out for dinner.

Question 114

Which of the following words is similar in meaning to "chronic" as used in the passage?

  1. AOption (a)

    Temporary

  2. BOption (b)

    Acute

  3. COption (c)

    Persistent

  4. DOption (d)

    Sudden

  5. EOption (e)

    Instantaneous

View answer & explanation

Correct answer

Answer: (c)C.

Persistent

Why this answer is correct

The correct answer is: Option 3 i.e., Persistent.

Key Points

  • The word "chronic" means something that is long-lasting and difficult to eradicate; continuing or occurring again and again for a long time. (जीर्ण, लंबे समय तक चलने वाला)
  • Example: He has been suffering from chronic back pain for years.
  • "Persistent" refers to something that is continuous or enduring for a prolonged period, often despite difficulty or opposition. (स्थायी, लगातार)
  • Example: Her persistent cough made it hard for her to sleep at night.
  • Hence, we can infer that the meaning of 'chronic' is similar to 'persistent'.

Therefore, the correct answer is: Persistent.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

  • Temporary (अस्थायी): Lasting for only a limited period; not permanent.
  • Example: The solutions provided were temporary and not intended as long-term fixes.
  • Acute (तीव्र): Severe in effect; intense but of short duration.
  • Example: She felt an acute pain in her abdomen.
  • Sudden (अचानक): Occurring or done quickly and unexpectedly.
  • Example: The sudden change in weather caught everyone off guard.
  • Instantaneous (तात्कालिक): Occurring or done in an instant or instantly.
  • Example: The reaction was instantaneous when the button was pressed.

Directions: Read the given passage carefully to answer the following questions. Each question will have five alternatives as its answer. Choose the correct option as your answer.

Region X is characterized by chronic economic stress, largely driven by alarmingly low savings rates and the pervasive presence of usurious lending. For the average resident, formal credit access is tenuous, pushing many toward informal money markets where interest rates are brutal. While commercial banks might advertise a conventional 30% interest rate per year on personal loans, the prevailing informal loan shark rates often translate to an annual percentage rate (APR) closer to 390% per year, trapping a significant portion of the population in inescapable debt cycles.

A recent governmental report aimed to analyze the region's financial saturation. The data revealed a surprisingly high density of lending operations, citing 17 financial institutions for every 36,000 people. While this figure suggests high availability, the reality is that the institutions are heavily concentrated in a few commercial hubs. Using the metric of 17 institutions per 36,000 residents, a deeper analysis of the available institutional count implies a total regional population that well exceeds 6 lakh people. This disparity between the density of institutions and the lack of accessible, affordable capital ________ the financial exclusion faced by most citizens. Further examination of lending trends, specifically the Report Trends from the local microfinance sector, offers insights into the market. The reports consistently highlight that the ideal customer base for sustainable growth consists not of salaried employees, but of registered small business owners who demonstrate higher loan repayment fidelity. The analysis of the total capital, or the money pool, available for lending revealed a troubling trend. The money pool reflects a critical lack of liquidity in the system, rather than a lack of demand for capital, indicating that funds are not being replenished through savings or large investments, but rather are continuously recycled at high risk.

Question 115

According to the passage, what is the annual percentage rate (APR) for informal loan shark rates in Region X?

  1. AOption (a)

    30% per year

  2. BOption (b)

    90% per year

  3. COption (c)

    150% per year

  4. DOption (d)

    250% per year

  5. EOption (e)

    390% per year

View answer & explanation

Correct answer

Answer: (e)E.

390% per year

Why this answer is correct

The correct answer is Option 5.

 

Key Points

  • The passage specifically mentions that the informal loan shark rates often translate to an annual percentage rate (APR) closer to 390% per year.
  • This extreme rate is used to illustrate the severe financial distress faced by residents of Region X.

Therefore, the correct answer is Option 5.

 

Passage Excerpt: "...the prevailing informal loan shark rates often translate to an annual percentage rate (APR) closer to 390% per year, trapping a significant portion of the population in inescapable debt cycles."

 

Additional Information

  • Option 1: 30% per year is mentioned as the interest rate advertised by commercial banks on personal loans, not for informal loan shark rates.
  • Option 2, Option 3, and Option 4: These percentages are not mentioned as APR for informal loan shark rates in the passage.

Question 116

The passage states that the ideal customer base for sustainable growth in the local microfinance sector is:

  1. AOption (a)

    Salaried employees

  2. BOption (b)

    Registered small business owners

  3. COption (c)

    Informal market workers

  4. DOption (d)

    Government employees

  5. EOption (e)

    Retired citizens

View answer & explanation

Correct answer

Answer: (b)B.

Registered small business owners

Why this answer is correct

The correct answer is Option 2.

 

Key Points

  • The passage specifically mentions that registered small business owners who demonstrate higher loan repayment fidelity are considered the ideal customer base for sustainable growth according to the local microfinance sector.

Therefore, the correct answer is Option 2.

 

Passage Excerpt: "...the Report Trends from the local microfinance sector... consistently highlight that the ideal customer base for sustainable growth consists not of salaried employees, but of registered small business owners who demonstrate higher loan repayment fidelity."

 

Additional Information

  • Option 1: The passage specifically states that the ideal customer base is not salaried employees.
  • Option 3, Option 4, and Option 5: Informal market workers, government employees, and retired citizens are not mentioned as the ideal customer base for sustainable growth in the local microfinance sector.

Question 117

Based on the 17:36,000 ratio given for financial institutions to residents, and the assumption that the total number of institutions implies a population exceeding 6 lakh people, how many total financial institutions are implied in Region X?

  1. AOption (a)

    At least 190

  2. BOption (b)

    At least 280

  3. COption (c)

    At least 320

  4. DOption (d)

    At least 400

  5. EOption (e)

    At least 500

View answer & explanation

Correct answer

Answer: (b)B.

At least 280

Why this answer is correct

The correct answer is Option 2.

 

Key Points

  • The population of Region X exceeds 6 lakh (600,000) people.
  • The given ratio is 17 financial institutions for every 36,000 residents.
  • Using the ratio 17:36,000, we calculate the number of institutions for a population of 600,000 people.
  • The calculation: (17/36,000) * 600,000 gives approximately 283.33 financial institutions.
  • Based on the options where it is mentioned "at least", Option 2 (at least 280 institutions) is the correct one.

Therefore, the correct answer is Option 2.

 

Additional Information

  • Calculation details: 17 institutions per 36,000 people implies the formula (17/36,000) * 600,000.
  • Detailed calculation: 17 * 600,000 / 36,000 = 283.33.
  • The result is rounded to the nearest whole number for interpretation within given options.
  • Choosing an option that is "at least 280" covers the calculated number of institutions.

Question 118

Which of the following sentences can be inferred from the passage?

A. High usurious lending rates are contributing to economic stress in Region X.

B. Salaried employees are more reliable in loan repayment than small business owners.

C. The high density of lending institutions implies accessible financial services for all residents.

  1. AOption (a)

    Only A

  2. BOption (b)

    Only B

  3. COption (c)

    Only C

  4. DOption (d)

    A and B

  5. EOption (e)

    A and C

View answer & explanation

Correct answer

Answer: (a)A.

Only A

Why this answer is correct

The correct answer is 'Option 1'.

 

Key Points

  • A) High usurious lending rates are contributing to economic stress in Region X.
  • This can be inferred from the passage. The passage explicitly mentions chronic economic stress driven by alarmingly low savings rates and the presence of usurious lending, contributing to the financial challenges in Region X.
  • B) Salaried employees are more reliable in loan repayment than small business owners.
  • This cannot be inferred from the passage. The passage actually suggests that registered small business owners demonstrate higher loan repayment fidelity than salaried employees, which means B is incorrect.
  • C) The high density of lending institutions implies accessible financial services for all residents.
  • This cannot be inferred from the passage. The passage makes it clear that despite the high density of lending operations, financial institutions are heavily concentrated in commercial hubs, meaning accessible financial services are not available for all residents.

​Therefore, the correct answer is Only A.

<br>

Additional Information

  • Only A: Correct because only A can be inferred from the passage.
  • Only B: Incorrect because B cannot be inferred from the passage.
  • Only C: Incorrect because C cannot be inferred from the passage.
  • A and B: Incorrect because B cannot be inferred from the passage.
  • A and C: Incorrect because C cannot be inferred from the passage.

Question 119

According to the passage, which of the given statements is/are correct?

A) Formal credit access in Region X is easily available for the average resident.

B) The critical lack of liquidity in the money pool is due to funds not being replenished through savings.

C) The money pool is continuously recycled at high risk in Region X.

  1. AOption (a)

    Only A

  2. BOption (b)

    Only B

  3. COption (c)

    Only C

  4. DOption (d)

    B and C

  5. EOption (e)

    A and C

View answer & explanation

Correct answer

Answer: (d)D.

B and C

Why this answer is correct

The correct answer is Option 4.

 

Key Points

  • Statement A: Formal credit access in Region X is easily available for the average resident.
  • This statement is incorrect as the passage mentions that formal credit access is tenuous for the average resident.
  • Statement B: The critical lack of liquidity in the money pool is due to funds not being replenished through savings.
  • This statement is correct as the passage explicitly states that the lack of liquidity is due to funds not being replenished through savings.
  • Statement C: The money pool is continuously recycled at high risk in Region X.
  • This statement is correct as the passage indicates that funds are continuously recycled at high risk.

Therefore, the correct answer is: B and C.

Question 120

What will fit in the blank taken from the passage: "The disparity between the density of institutions and the lack of accessible, affordable capital ________ the financial exclusion faced by most citizens."

  1. AOption (a)

    enhances

  2. BOption (b)

    suggests

  3. COption (c)

    underscores

  4. DOption (d)

    implies

  5. EOption (e)

    mitigates

View answer & explanation

Correct answer

Answer: (c)C.

underscores

Why this answer is correct

The correct answer is 'underscores'.

 

Key Points

  • The word "underscores" means to emphasize or highlight something.
  • In the given context, it emphasizes the financial exclusion faced by the citizens due to the lack of accessible and affordable capital despite the apparent density of financial institutions.
  • The other options: "enhances," "suggests," "implies," and "mitigates" do not fit the context as appropriately.

​Therefore, the correct answer is 'Option 3'.

Complete Sentence: The disparity between the density of institutions and the lack of accessible, affordable capital underscores the financial exclusion faced by most citizens.

Additional Information

  • Enhances (बढ़ाता है): means to intensify or increase the quality or value of something.
  • Suggests (सुझाव देता है): means to propose or put forward for consideration.
  • Implies (इशारा करता है): means to strongly suggest or indicate something indirectly.
  • Mitigates (कम करता है): means to make less severe or alleviate.

Data Analysis & Interpretation (35 questions)

Question 121

A sum of Rs. (P + 700) is invested in Scheme A at 12% simple interest per annum for 15 years, and it amounts to Rs. (4P – 200). If another sum of Rs. (M + 300) is invested in the same scheme at the same rate for 10 years, the total amount becomes Rs. (3P + 1200).

Which of the following statements is/are not true?

I. P = 2M

II. P + M = 2(M – 450)

III. The HCF of P and M is 180.

  1. AOption (a)

    Only I and II

  2. BOption (b)

    Only I and III

  3. COption (c)

    Only I

  4. DOption (d)

    Only II and III

  5. EOption (e)

    Only II

View answer & explanation

Correct answer

Answer: (b)B.

Only I and III

Why this answer is correct

Shortcut Trick

For Scheme A: Rate = 12% p.a., Time = 15 years → Total interest = 180%. Amount = 280% of Principal.

2.8 × (P + 700) = 4P − 200 ⇒ 2.8P + 1960 = 4P − 200 ⇒ 1.2P = 2160 ⇒ P = 1800.

For second case: Rate = 12% p.a., Time = 10 years → Total interest = 120%. Amount = 220% of Principal.

2.2 × (M + 300) = 3(1800) + 1200 = 6600 ⇒ M + 300 = 3000 ⇒ M = 2700.

Check statements: I. 1800 = 2(2700) [False], II. 4500 = 2(2250) [True], III. HCF(1800, 2700) = 900 [False].

∴ The correct answer is Only I and III.

Alternate Method

Given: Principal1 = (P + 700), Rate = 12%, Time1 = 15 yrs, Amount1 = (4P − 200). Principal2 = (M + 300), Time2 = 10 yrs, Amount2 = (3P + 1200).

Formula Used: Amount = Principal + (Principal × Rate × Time) / 100

⇒ Amount1 = (P + 700) × [1 + (12 × 15)/100] = (P + 700) × 2.8

⇒ 2.8P + 1960 = 4P − 200 ⇒ 1.2P = 2160 ⇒ P = 1800

⇒ Amount2 = (M + 300) × [1 + (12 × 10)/100] = (M + 300) × 2.2

⇒ 2.2(M + 300) = 3(1800) + 1200 = 6600

⇒ M + 300 = 3000 ⇒ M = 2700

⇒ Statement I: P = 2M → 1800 = 5400 (False)

⇒ Statement II: P + M = 2(M − 450) → 4500 = 2(2700 − 450) → 4500 = 4500 (True)

⇒ Statement III: HCF(1800, 2700) = 900 (False, as statement says 180)

∴ The correct answer is Only I and III.

Additional Information

Simple Interest Amount

The total amount A in simple interest is given by A = P(1 + RT/100), where P is principal, R is rate, and T is time.

Highest Common Factor (HCF)

HCF is the largest positive integer that divides each of the integers without a remainder. For 1800 and 2700, 900 × 2 and 900 × 3 show HCF is 900.

HCF and LCM Relation

For any two numbers a and b, HCF(a, b) × LCM(a, b) = a × b.

Directions: The following questions are based on the information given in the three series and the notes below. Analyze the data carefully to answer the questions.

Series 1: 15, B, 18, (4x)², 21, (y + 11)

Series 2: A, 22, (A - B + 23), 32, (A + B + 7), 42

Series 3: (y - 7.5), x, 28, 4, Z3, 16

Notes:

(I) All elements in each series are positive numbers.

(II) A, B, and Z are distinct prime numbers, and all are less than 20. The sum of A, B, and Z is an even number, and B > Z.

(III) 2x and 2y are the roots of the quadratic equation d2 − 18d + 32 = 0.

Question 122

Which of the following is the lowest number among all the three series?

  1. AOption (a)

    2

  2. BOption (b)

    x

  3. COption (c)

    0.5

  4. DOption (d)

    A

  5. EOption (e)

    Cannot be determined

View answer & explanation

Correct answer

Answer: (c)C.

0.5

Why this answer is correct

General Solution:

Given series:

Series 1: 15, B, 18, (4x)2, 21, (y + 11)

Series 2: A, 22, (A − B + 23), 32, (A + B + 7), 42

Series 3: (y − 7.5), x, 28, 4, Z3, 16

Note III (used first):

2x and 2y are roots of d2 − 18d + 32 = 0.

Solve: d = [18 ± √(324 − 128)]/2 = [18 ± 14]/2 ⇒ d = 16 or d = 2.

So {2x, 2y} = {16, 2} ⇒ (x, y) = (1, 8) or (8, 1).

Use Note I (all elements positive): if y = 1 then Series 3 first element y − 7.5 = −6.5 (negative) — not allowed.

Therefore x = 1 and y = 8.

Now, let's find the value of B:

Let's complete Series 1 using the values of x and y.

Series 1: 15, B, 18, (4x)², 21, y + 11

4th element: (4 × 1)2 = 16.

6th element: 8 + 11 = 19.

The series is: 15, B, 18, 16, 21, 19.

This series follows an alternating pattern:

Odd positions: 15, 18, 21 (a simple progression of +3).

Even positions: B, 16, 19 (also a progression of +3).

From the even position pattern, B + 3 = 16, which means B = 13.

Now, let's find the value of A:

Now let's analyze Series 2.

Series 2: A, 22, (A - B + 23), 32, (A + B + 7), 42

Substitute B=13: A, 22, (A - 13 + 23), 32, (A + 13 + 7), 42

The series simplifies to: A, 22, (A + 10), 32, (A + 20), 42.

This series also has an alternating pattern with a +10 progression:

Odd positions: A, A+10, A+20, ...

Even positions: 22, 32, 42, ...

Now we use Note (II):

A, B (13), and Z are distinct prime numbers less than 20.

Their sum (A + 13 + Z) is even. Since 13 is odd, (A + Z) must be odd.

For A + Z to be odd, one must be the even prime (2) and the other must be an odd prime.

So, either A or Z must be 2. 

The Series 3 is: (y - 7.5), x, 28, 4, Z³, 16.

Substituting x = 1 and y = 8, the series becomes: 0.5, 1, 28, 4, Z³, 16.

If we assume A = 2, then Z must be an odd prime less than 13 (e.g., 3, 5, 7...). Z³ would then be 27, 125, 343, etc. These large numbers do not fit the pattern or scale of the other numbers in Series 3.

If we assume Z = 2, then Z³ becomes 2³ = 8. The series becomes 0.5, 1, 28, 4, 8, 16. This set of numbers is much more consistent. This confirms that Z = 2.

Since A, B, and Z must be distinct prime numbers, and we now know Z = 2 and B = 13, it is no longer possible for A to be 2.

Therefore, A must be an odd prime number less than 20 and not equal to 13. This leaves a set of possibilities for A.

Final Variable Values:

x = 1

y = 8

B = 13

Z = 2

A = An odd prime from the set {3, 5, 7, 11, 17, 19}

Calculations:

To determine the lowest number, we need to look at the final, decoded values of all elements in each series.

Series 1: 15, 13, 18, 16, 21, 19

The lowest number in this series is 13.

Series 2: A, 22, (A + 10), 32, (A + 20), 42

The value of A can be any odd prime from the set {3, 5, 7, 11, 17, 19}.

The lowest possible value for A is 3. Since all other terms are either larger constants or A plus a positive number, the lowest possible number in this series is 3.

Series 3: 0.5, 1, 28, 4, 8, 16

The lowest number in this series is 0.5.

Comparing the lowest values from each series (13, 3, and 0.5), the absolute lowest number is 0.5.

Therefore, the correct answer is 0.5.

Question 123

What will be the remainder when yn is divided by 32, where n is any odd integer?

  1. AOption (a)

    8

  2. BOption (b)

    0

  3. COption (c)

    16

  4. DOption (d)

    4

  5. EOption (e)

    Cannot be determined

View answer & explanation

Correct answer

Answer: (e)E.

Cannot be determined

Why this answer is correct

General Solution:

Given series:

Series 1: 15, B, 18, (4x)2, 21, (y + 11)

Series 2: A, 22, (A − B + 23), 32, (A + B + 7), 42

Series 3: (y − 7.5), x, 28, 4, Z3, 16

Note III (used first):

2x and 2y are roots of d2 − 18d + 32 = 0.

Solve: d = [18 ± √(324 − 128)]/2 = [18 ± 14]/2 ⇒ d = 16 or d = 2.

So {2x, 2y} = {16, 2} ⇒ (x, y) = (1, 8) or (8, 1).

Use Note I (all elements positive): if y = 1 then Series 3 first element y − 7.5 = −6.5 (negative) — not allowed.

Therefore x = 1 and y = 8.

Now, let's find the value of B:

Let's complete Series 1 using the values of x and y.

Series 1: 15, B, 18, (4x)², 21, y + 11

4th element: (4 × 1)2 = 16.

6th element: 8 + 11 = 19.

The series is: 15, B, 18, 16, 21, 19.

This series follows an alternating pattern:

Odd positions: 15, 18, 21 (a simple progression of +3).

Even positions: B, 16, 19 (also a progression of +3).

From the even position pattern, B + 3 = 16, which means B = 13.

Now, let's find the value of A:

Now let's analyze Series 2.

Series 2: A, 22, (A - B + 23), 32, (A + B + 7), 42

Substitute B=13: A, 22, (A - 13 + 23), 32, (A + 13 + 7), 42

The series simplifies to: A, 22, (A + 10), 32, (A + 20), 42.

This series also has an alternating pattern with a +10 progression:

Odd positions: A, A+10, A+20, ...

Even positions: 22, 32, 42, ...

Now we use Note (II):

A, B (13), and Z are distinct prime numbers less than 20.

Their sum (A + 13 + Z) is even. Since 13 is odd, (A + Z) must be odd.

For A + Z to be odd, one must be the even prime (2) and the other must be an odd prime.

So, either A or Z must be 2. 

The Series 3 is: (y - 7.5), x, 28, 4, Z³, 16.

Substituting x = 1 and y = 8, the series becomes: 0.5, 1, 28, 4, Z³, 16.

If we assume A = 2, then Z must be an odd prime less than 13 (e.g., 3, 5, 7...). Z³ would then be 27, 125, 343, etc. These large numbers do not fit the pattern or scale of the other numbers in Series 3.

If we assume Z = 2, then Z³ becomes 2³ = 8. The series becomes 0.5, 1, 28, 4, 8, 16. This set of numbers is much more consistent. This confirms that Z = 2.

Since A, B, and Z must be distinct prime numbers, and we now know Z = 2 and B = 13, it is no longer possible for A to be 2.

Therefore, A must be an odd prime number less than 20 and not equal to 13. This leaves a set of possibilities for A.

Final Variable Values:

x = 1

y = 8

B = 13

Z = 2

A = An odd prime from the set {3, 5, 7, 11, 17, 19}

Calculations:

We have y = 8.

The remainder depends on the value of n.

If n = 1 (which is an odd integer), we have 81 ÷ 32 = 8 ÷ 32. The remainder is 8.

If n = 3 (which is an odd integer), we have 83 ÷ 32 = 512 ÷ 32. The remainder is 0, since 512 is perfectly divisible by 32.

Since the remainder is different for different odd values of n, the result cannot be determined with a single value.

Hence, the correct answer is Cannot be determined.

Question 124

Which of the following is a possible value for the 7th element of Series 2?

  1. AOption (a)

    32

  2. BOption (b)

    42

  3. COption (c)

    47

  4. DOption (d)

    53

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (c)C.

47

Why this answer is correct

General Solution:

Given series:

Series 1: 15, B, 18, (4x)2, 21, (y + 11)

Series 2: A, 22, (A − B + 23), 32, (A + B + 7), 42

Series 3: (y − 7.5), x, 28, 4, Z3, 16

Note III (used first):

2x and 2y are roots of d2 − 18d + 32 = 0.

Solve: d = [18 ± √(324 − 128)]/2 = [18 ± 14]/2 ⇒ d = 16 or d = 2.

So {2x, 2y} = {16, 2} ⇒ (x, y) = (1, 8) or (8, 1).

Use Note I (all elements positive): if y = 1 then Series 3 first element y − 7.5 = −6.5 (negative) — not allowed.

Therefore x = 1 and y = 8.

Now, let's find the value of B:

Let's complete Series 1 using the values of x and y.

Series 1: 15, B, 18, (4x)², 21, y + 11

4th element: (4 × 1)2 = 16.

6th element: 8 + 11 = 19.

The series is: 15, B, 18, 16, 21, 19.

This series follows an alternating pattern:

Odd positions: 15, 18, 21 (a simple progression of +3).

Even positions: B, 16, 19 (also a progression of +3).

From the even position pattern, B + 3 = 16, which means B = 13.

Now, let's find the value of A:

Now let's analyze Series 2.

Series 2: A, 22, (A - B + 23), 32, (A + B + 7), 42

Substitute B=13: A, 22, (A - 13 + 23), 32, (A + 13 + 7), 42

The series simplifies to: A, 22, (A + 10), 32, (A + 20), 42.

This series also has an alternating pattern with a +10 progression:

Odd positions: A, A+10, A+20, ...

Even positions: 22, 32, 42, ...

Now we use Note (II):

A, B (13), and Z are distinct prime numbers less than 20.

Their sum (A + 13 + Z) is even. Since 13 is odd, (A + Z) must be odd.

For A + Z to be odd, one must be the even prime (2) and the other must be an odd prime.

So, either A or Z must be 2. 

The Series 3 is: (y - 7.5), x, 28, 4, Z³, 16.

Substituting x = 1 and y = 8, the series becomes: 0.5, 1, 28, 4, Z³, 16.

If we assume A = 2, then Z must be an odd prime less than 13 (e.g., 3, 5, 7...). Z³ would then be 27, 125, 343, etc. These large numbers do not fit the pattern or scale of the other numbers in Series 3.

If we assume Z = 2, then Z³ becomes 2³ = 8. The series becomes 0.5, 1, 28, 4, 8, 16. This set of numbers is much more consistent. This confirms that Z = 2.

Since A, B, and Z must be distinct prime numbers, and we now know Z = 2 and B = 13, it is no longer possible for A to be 2.

Therefore, A must be an odd prime number less than 20 and not equal to 13. This leaves a set of possibilities for A.

Final Variable Values:

x = 1

y = 8

B = 13

Z = 2

A = An odd prime from the set {3, 5, 7, 11, 17, 19}

Calculations:

The 7th term is A + 30, where A can be {3, 5, 7, 11, 17, 19}.

A = 3 → 33

A = 5 → 35

A = 7 → 37

A = 11 → 41

A = 17 → 47

A = 19 → 49

From the options provided, 47 is a possible value. 

Hence, the correct answer is 47.

Question 125

What is the sum of the 4th element of all three series?

  1. AOption (a)

    48

  2. BOption (b)

    49

  3. COption (c)

    54

  4. DOption (d)

    52

  5. EOption (e)

    60

View answer & explanation

Correct answer

Answer: (d)D.

52

Why this answer is correct

General Solution:

Given series:

Series 1: 15, B, 18, (4x)2, 21, (y + 11)

Series 2: A, 22, (A − B + 23), 32, (A + B + 7), 42

Series 3: (y − 7.5), x, 28, 4, Z3, 16

Note III (used first):

2x and 2y are roots of d2 − 18d + 32 = 0.

Solve: d = [18 ± √(324 − 128)]/2 = [18 ± 14]/2 ⇒ d = 16 or d = 2.

So {2x, 2y} = {16, 2} ⇒ (x, y) = (1, 8) or (8, 1).

Use Note I (all elements positive): if y = 1 then Series 3 first element y − 7.5 = −6.5 (negative) — not allowed.

Therefore x = 1 and y = 8.

Now, let's find the value of B:

Let's complete Series 1 using the values of x and y.

Series 1: 15, B, 18, (4x)², 21, y + 11

4th element: (4 × 1)2 = 16.

6th element: 8 + 11 = 19.

The series is: 15, B, 18, 16, 21, 19.

This series follows an alternating pattern:

Odd positions: 15, 18, 21 (a simple progression of +3).

Even positions: B, 16, 19 (also a progression of +3).

From the even position pattern, B + 3 = 16, which means B = 13.

Now, let's find the value of A:

Now let's analyze Series 2.

Series 2: A, 22, (A - B + 23), 32, (A + B + 7), 42

Substitute B=13: A, 22, (A - 13 + 23), 32, (A + 13 + 7), 42

The series simplifies to: A, 22, (A + 10), 32, (A + 20), 42.

This series also has an alternating pattern with a +10 progression:

Odd positions: A, A+10, A+20, ...

Even positions: 22, 32, 42, ...

Now we use Note (II):

A, B (13), and Z are distinct prime numbers less than 20.

Their sum (A + 13 + Z) is even. Since 13 is odd, (A + Z) must be odd.

For A + Z to be odd, one must be the even prime (2) and the other must be an odd prime.

So, either A or Z must be 2. 

The Series 3 is: (y - 7.5), x, 28, 4, Z³, 16.

Substituting x = 1 and y = 8, the series becomes: 0.5, 1, 28, 4, Z³, 16.

If we assume A = 2, then Z must be an odd prime less than 13 (e.g., 3, 5, 7...). Z³ would then be 27, 125, 343, etc. These large numbers do not fit the pattern or scale of the other numbers in Series 3.

If we assume Z = 2, then Z³ becomes 2³ = 8. The series becomes 0.5, 1, 28, 4, 8, 16. This set of numbers is much more consistent. This confirms that Z = 2.

Since A, B, and Z must be distinct prime numbers, and we now know Z = 2 and B = 13, it is no longer possible for A to be 2.

Therefore, A must be an odd prime number less than 20 and not equal to 13. This leaves a set of possibilities for A.

Final Variable Values:

x = 1

y = 8

B = 13

Z = 2

A = An odd prime from the set {3, 5, 7, 11, 17, 19}

Calculations:

4th elements:

Series 1: (4x)2 = (4·1)2 = 16

Series 2: 4th element = 32 (given)

Series 3: 4th element = 4 (given)

Sum = 16 + 32 + 4 = 52

Hence, the correct answer is 52.

Directions: Read the following information carefully and answer the questions based on it.

The line graph represents the actual market prices of items A and B over four different years.

 

Each year, the forecasted price of item A rises by 40% compared to the previous year. Each year, the forecasted price of item B rises by 25% compared to the previous year. If, in a given year, the actual market price is lower than the forecasted price, it indicates higher demand. Conversely, if the actual market price exceeds the forecasted price, it reflects lower demand.

The accompanying pie chart illustrates the percentage (or angular) distribution of the total number of items (A + B) purchased by four different buyers. The total purchases of items A and B together amount to 20,000.

 

Notes:

  • w + r = 33, where w > r
  • r is a two-digit number and is the product of two distinct single-digit prime numbers, one of which is 3.
  • The number of items (A + B) purchased by each buyer in any given year remains the same.

Question 126

Assume all 4,000 items purchased by P were Item A, and all 5,000 items purchased by Q were Item B. In 2014, a shopkeeper sells all these items after offering a discount of (r - z/5)% on item A and (w - z/5)% on item B, calculated on their respective actual market prices for that year. What is the total revenue collected by the shopkeeper from these sales?

  1. AOption (a)

    Rs. 3,250,000

  2. BOption (b)

    Rs. 2,895,000

  3. COption (c)

    Rs. 3,510,000

  4. DOption (d)

    Rs. 3,051,000

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (d)D.

Rs. 3,051,000

Why this answer is correct

General Solution:

  1. Solving for w, r, and z from Pie Chart Data:

⇒ We are given that 'r' is a two-digit product of two distinct single-digit primes, one of which is 3. The single-digit primes are 2, 3, 5, 7.

⇒ Possible values for r: 3 × 5 = 15; 3 × 7 = 21.

⇒ We are also given w + r = 33 and w > r.

⇒ Case 1: If r = 21, then w = 33 - 21 = 12. Here, w is not greater than r. So, this case is invalid.

⇒ Case 2: If r = 15, then w = 33 - 15 = 18. Here, w > r (18 > 15). So, this case is valid.

⇒ We have found r = 15 and w = 18.

⇒ The total angle of a pie chart is 360°. The distribution is P = 72°, Q = z%, R = (z-r)%, S = (180-w)°.

⇒ Angle for S = 180 - w = 180 - 18 = 162°.

⇒ Total angle for Q and R = 360° - (Angle P + Angle S) = 360° - (72° + 162°) = 360° - 234° = 126°.

⇒ Converting degrees to percentage: (Angle / 360) × 100.

⇒ Percentage for Q and R = (126 / 360) × 100 = 35%.

⇒ So, Q% + R% = 35% ⇒ z + (z - r) = 35.

⇒ z + (z - 15) = 35 ⇒ 2z = 50 ⇒ z = 25.

  1. Percentage Distribution and Number of Items for each Buyer:

⇒ Total items (A + B) = 20,000.

⇒ P = (72/360) × 100 = 20%. Items = 0.20 × 20,000 = 4,000.

⇒ Q = z% = 25%. Items = 0.25 × 20,000 = 5,000.

⇒ R = (z-r)% = (25-15)% = 10%. Items = 0.10 × 20,000 = 2,000.

⇒ S = (162/360) × 100 = 45%. Items = 0.45 × 20,000 = 9,000.

Calculations:

Calculate the discount percentages:

⇒ Discount on item A = (r - z/5)% = (15 - 25/5)% = (15 - 5)% = 10%.

⇒ Discount on item B = (w - z/5)% = (18 - 25/5)% = (18 - 5)% = 13%.

Calculate the revenue from item A.

⇒ Actual Market Price of A in 2014 = Rs. 340.

⇒ Selling Price of A = 340 × (1 - 10/100) = 340 × 0.90 = Rs. 306.

⇒ Revenue from A = 4000 units × 306 = Rs. 1,224,000.

Calculate the revenue from item B.

⇒ Actual Market Price of B in 2014 = Rs. 420.

⇒ Selling Price of B = 420 × (1 - 13/100) = 420 × 0.87 = Rs. 365.4.

⇒ Revenue from B = 5000 units × 365.4 = Rs. 1,827,000.

Calculate the total revenue.

⇒ Total Revenue = Revenue from A + Revenue from B

⇒ Total Revenue = 1,224,000 + 1,827,000 = Rs. 3,051,000.

∴ The total revenue collected is Rs. 3,051,000.

Question 127

Let the Forecast Price of item B in 2012 be FB. It is known that for the year 2013, the demand for item B was high, while in 2014, the demand for item B was low. The total number of item B units sold across all buyers was (Sitems - Pitems - Ritems), where Sitems, Pitems, and Ritems are the total items bought by buyers S, P, and R respectively. Which of the following ranges contains the correct value of FB?

  1. AOption (a)

    200 ≤ FB ≤ 208

  2. BOption (b)

    FB ≥ 269

  3. COption (c)

    209 ≤ FB ≤ 268

  4. DOption (d)

    FB ≤ 207

  5. EOption (e)

    Relationship cannot be determined

View answer & explanation

Correct answer

Answer: (c)C.

209 ≤ FB ≤ 268

Why this answer is correct

General Solution:

  1. Solving for w, r, and z from Pie Chart Data:

⇒ We are given that 'r' is a two-digit product of two distinct single-digit primes, one of which is 3. The single-digit primes are 2, 3, 5, 7.

⇒ Possible values for r: 3 × 5 = 15; 3 × 7 = 21.

⇒ We are also given w + r = 33 and w > r.

⇒ Case 1: If r = 21, then w = 33 - 21 = 12. Here, w is not greater than r. So, this case is invalid.

⇒ Case 2: If r = 15, then w = 33 - 15 = 18. Here, w > r (18 > 15). So, this case is valid.

⇒ We have found r = 15 and w = 18.

⇒ The total angle of a pie chart is 360°. The distribution is P = 72°, Q = z%, R = (z-r)%, S = (180-w)°.

⇒ Angle for S = 180 - w = 180 - 18 = 162°.

⇒ Total angle for Q and R = 360° - (Angle P + Angle S) = 360° - (72° + 162°) = 360° - 234° = 126°.

⇒ Converting degrees to percentage: (Angle / 360) × 100.

⇒ Percentage for Q and R = (126 / 360) × 100 = 35%.

⇒ So, Q% + R% = 35% ⇒ z + (z - r) = 35.

⇒ z + (z - 15) = 35 ⇒ 2z = 50 ⇒ z = 25.

  1. Percentage Distribution and Number of Items for each Buyer:

⇒ Total items (A + B) = 20,000.

⇒ P = (72/360) × 100 = 20%. Items = 0.20 × 20,000 = 4,000.

⇒ Q = z% = 25%. Items = 0.25 × 20,000 = 5,000.

⇒ R = (z-r)% = (25-15)% = 10%. Items = 0.10 × 20,000 = 2,000.

⇒ S = (162/360) × 100 = 45%. Items = 0.45 × 20,000 = 9,000.

Calculations:

Use the 2013 demand condition:

⇒ Demand for B was high in 2013 ⇒ Actual Price < Forecast Price.

⇒ Actual B2013 = 260. Forecast B2013 = FB × 1.25.

⇒ 260 < FB × 1.25

⇒ FB > 260 / 1.25 ⇒ FB > 208.

Use the 2014 demand condition:

⇒ Demand for B was low in 2014 ⇒ Actual Price > Forecast Price.

⇒ Actual B2014 = 420. Forecast B2014 = FB × (1.25)2 = FB × 1.5625.

⇒ 420 > FB × 1.5625

⇒ FB < 420 / 1.5625 ⇒ FB < 268.8.

Combine the conditions.

⇒ We have 208 < FB < 268.8.

⇒ The valid integer range for FB is from 209 to 268, inclusive.

∴ The correct range is 209 ≤ FB ≤ 268.

Question 128

The ratio of items A to B purchased by buyer P is 3:2. The number of items A purchased by buyer Q is (2r+z)% of the total items purchased by Q. The total profit made by P on item A in 2013 is equal to the total profit made by Q on item B in 2015. If the cost price of item A for P in 2013 was Rs. 250, what was the cost price of item B for Q in 2015?

  1. AOption (a)

    Rs. 292

  2. BOption (b)

    Rs. 300

  3. COption (c)

    Rs. 288

  4. DOption (d)

    Rs. 256

  5. EOption (e)

    Cannot be determined

View answer & explanation

Correct answer

Answer: (c)C.

Rs. 288

Why this answer is correct

General Solution:

  1. Solving for w, r, and z from Pie Chart Data:

⇒ We are given that 'r' is a two-digit product of two distinct single-digit primes, one of which is 3. The single-digit primes are 2, 3, 5, 7.

⇒ Possible values for r: 3 × 5 = 15; 3 × 7 = 21.

⇒ We are also given w + r = 33 and w > r.

⇒ Case 1: If r = 21, then w = 33 - 21 = 12. Here, w is not greater than r. So, this case is invalid.

⇒ Case 2: If r = 15, then w = 33 - 15 = 18. Here, w > r (18 > 15). So, this case is valid.

⇒ We have found r = 15 and w = 18.

⇒ The total angle of a pie chart is 360°. The distribution is P = 72°, Q = z%, R = (z-r)%, S = (180-w)°.

⇒ Angle for S = 180 - w = 180 - 18 = 162°.

⇒ Total angle for Q and R = 360° - (Angle P + Angle S) = 360° - (72° + 162°) = 360° - 234° = 126°.

⇒ Converting degrees to percentage: (Angle / 360) × 100.

⇒ Percentage for Q and R = (126 / 360) × 100 = 35%.

⇒ So, Q% + R% = 35% ⇒ z + (z - r) = 35.

⇒ z + (z - 15) = 35 ⇒ 2z = 50 ⇒ z = 25.

  1. Percentage Distribution and Number of Items for each Buyer:

⇒ Total items (A + B) = 20,000.

⇒ P = (72/360) × 100 = 20%. Items = 0.20 × 20,000 = 4,000.

⇒ Q = z% = 25%. Items = 0.25 × 20,000 = 5,000.

⇒ R = (z-r)% = (25-15)% = 10%. Items = 0.10 × 20,000 = 2,000.

⇒ S = (162/360) × 100 = 45%. Items = 0.45 × 20,000 = 9,000.

Calculations:

Find the number of items for each buyer.

⇒ Items for P: Ratio A:B is 3:2. Item A = (3/5) × 4000 = 2400. Item B = (2/5) × 4000 = 1600.

⇒ Items A for Q: (2r+z)% = (2×15 + 25)% = 55%. Item A = 55% of 5000 = 2750. Item B = 5000 - 2750 = 2250.

Calculate the total profit for P.

⇒ Profit = Number of items × (Actual Market Price - Cost Price).

⇒ Profit P (A, 2013) = 2400 × (Actual Price A2013 - CP A2013)

⇒ Profit P (A, 2013) = 2400 × (280 - 250) = 2400 × 30 = Rs. 72,000.

Calculate the Cost Price for Q.

⇒ Profit Q (B, 2015) is equal to Profit P (A, 2013), so it is also Rs. 72,000.

⇒ Profit Q (B, 2015) = 2250 × (Actual Price B2015 - CP B2015)

⇒ 72,000 = 2250 × (320 - CP B2015)

⇒ 320 - CP B2015 = 72000 / 2250 = 32

⇒ CP B2015 = 320 - 32 = 288.

∴ The cost price of item B for Q in 2015 was Rs. 288.

Question 129

The following series contains one wrong number:

470, 595, 379, 722, 211, 939

Identify the wrong number and replace it with the correct one. If the corrected term of the given series is the forecast price of item A in 2013 then what will be the difference between forecast price of item A in 2013 and 2015 and what will be the demand for Item A in 2015?

  1. AOption (a)

    207.5, low

  2. BOption (b)

    312, high

  3. COption (c)

    201.6, high

  4. DOption (d)

    108.5, low

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (c)C.

201.6, high

Why this answer is correct

General Solution:

  1. Solving for w, r, and z from Pie Chart Data:

⇒ We are given that 'r' is a two-digit product of two distinct single-digit primes, one of which is 3. The single-digit primes are 2, 3, 5, 7.

⇒ Possible values for r: 3 × 5 = 15; 3 × 7 = 21.

⇒ We are also given w + r = 33 and w > r.

⇒ Case 1: If r = 21, then w = 33 - 21 = 12. Here, w is not greater than r. So, this case is invalid.

⇒ Case 2: If r = 15, then w = 33 - 15 = 18. Here, w > r (18 > 15). So, this case is valid.

⇒ We have found r = 15 and w = 18.

⇒ The total angle of a pie chart is 360°. The distribution is P = 72°, Q = z%, R = (z-r)%, S = (180-w)°.

⇒ Angle for S = 180 - w = 180 - 18 = 162°.

⇒ Total angle for Q and R = 360° - (Angle P + Angle S) = 360° - (72° + 162°) = 360° - 234° = 126°.

⇒ Converting degrees to percentage: (Angle / 360) × 100.

⇒ Percentage for Q and R = (126 / 360) × 100 = 35%.

⇒ So, Q% + R% = 35% ⇒ z + (z - r) = 35.

⇒ z + (z - 15) = 35 ⇒ 2z = 50 ⇒ z = 25.

  1. Percentage Distribution and Number of Items for each Buyer:

⇒ Total items (A + B) = 20,000.

⇒ P = (72/360) × 100 = 20%. Items = 0.20 × 20,000 = 4,000.

⇒ Q = z% = 25%. Items = 0.25 × 20,000 = 5,000.

⇒ R = (z-r)% = (25-15)% = 10%. Items = 0.10 × 20,000 = 2,000.

⇒ S = (162/360) × 100 = 45%. Items = 0.45 × 20,000 = 9,000.

Calculations:

First, find the pattern in the series: 470, 595, 379, 722, 211, 939.

⇒ 470 + 53 = 470 + 125 = 595

⇒ 595 - 63 = 595 - 216 = 379

⇒ 379 + 73 = 379 + 343 = 722

⇒ 722 - 83 = 722 - 512 = 210. The term given is 211, so this is the wrong term in the series and the correct term should be 210.

The question states the "correct term" is the forecast price. We assume this means the correct value that fits the pattern is the forecast price.

⇒ Forecast Price of A in 2013 = Rs. 210.

Now, find the Forecast Price of A in 2015.

⇒ Forecast Price (2014) = 210 × 1.4 = 294.

⇒ Forecast Price (2015) = 294 × 1.4 = Rs. 411.6.

Find the difference between the forecast prices of 2015 and 2013.

⇒ Difference = 411.6 - 210 = 201.6.

Determine the demand for Item A in 2015.

⇒ Actual Price of A in 2015 = 360.

⇒ Actual Price (360) < Forecast Price (411.6) ⇒ High Demand.

∴ The difference is 201.6 and the demand is high.

Question 130

If the demand is low for item A in 2015, then find the difference between the actual market price of item B in 2015 and the forecast price of item A in 2014. The forecast price of Item A in 2015 is ZX, where X is one of the roots of the given equation x² + 11x - 350 = 0.

  1. AOption (a)

    95

  2. BOption (b)

    70

  3. COption (c)

    80

  4. DOption (d)

    105

  5. EOption (e)

    60

View answer & explanation

Correct answer

Answer: (b)B.

70

Why this answer is correct

General Solution:

  1. Solving for w, r, and z from Pie Chart Data:

⇒ We are given that 'r' is a two-digit product of two distinct single-digit primes, one of which is 3. The single-digit primes are 2, 3, 5, 7.

⇒ Possible values for r: 3 × 5 = 15; 3 × 7 = 21.

⇒ We are also given w + r = 33 and w > r.

⇒ Case 1: If r = 21, then w = 33 - 21 = 12. Here, w is not greater than r. So, this case is invalid.

⇒ Case 2: If r = 15, then w = 33 - 15 = 18. Here, w > r (18 > 15). So, this case is valid.

⇒ We have found r = 15 and w = 18.

⇒ The total angle of a pie chart is 360°. The distribution is P = 72°, Q = z%, R = (z-r)%, S = (180-w)°.

⇒ Angle for S = 180 - w = 180 - 18 = 162°.

⇒ Total angle for Q and R = 360° - (Angle P + Angle S) = 360° - (72° + 162°) = 360° - 234° = 126°.

⇒ Converting degrees to percentage: (Angle / 360) × 100.

⇒ Percentage for Q and R = (126 / 360) × 100 = 35%.

⇒ So, Q% + R% = 35% ⇒ z + (z - r) = 35.

⇒ z + (z - 15) = 35 ⇒ 2z = 50 ⇒ z = 25.

  1. Percentage Distribution and Number of Items for each Buyer:

⇒ Total items (A + B) = 20,000.

⇒ P = (72/360) × 100 = 20%. Items = 0.20 × 20,000 = 4,000.

⇒ Q = z% = 25%. Items = 0.25 × 20,000 = 5,000.

⇒ R = (z-r)% = (25-15)% = 10%. Items = 0.10 × 20,000 = 2,000.

⇒ S = (162/360) × 100 = 45%. Items = 0.45 × 20,000 = 9,000.

Calculations:

First, find the value of X by solving the equation x² + 11x - 350 = 0.

⇒ (x + 25)(x - 14) = 0. The positive root is X = 14.

Forecast price of Item A in 2015 = ZX = 25 × 14 = Rs. 350.

Check demand condition for A in 2015: Low demand means Actual > Forecast.

⇒ Actual Price of A in 2015 = 360. 360 > 350, so the condition is met.

Find the Forecast Price of A in 2014 (it rises by 40% to become the 2015 price).

⇒ Forecast Price (2015) = Forecast Price (2014) × 1.4

⇒ 350 = Forecast Price (2014) × 1.4

⇒ Forecast Price (2014) = 350 / 1.4 = Rs. 250.

Calculate the required difference:

⇒ Difference = Actual market price of B in 2015 - Forecast price of A in 2014

⇒ Difference = 320 - 250 = 70.

∴ The difference is 70.

Question 131

If total purchase of item B in 2014 by R is 37.5% of the total purchase by 'R'. In 2014, after giving D% discount, the profit earned by selling item B is 50%. If demand is low in 2014, then what will be the forecast price and the demand of item B in 2015 (if the ratio of forecast price and cost price of Item B in 2014 is 30:28).

Note -

  • Cost price of B in 2014 is the square of a 2-digit number ≥ 12 and ≤ 15.
  • Discount given on the actual market price and 'D' is an Integer.
  1. AOption (a)

    262.5 and low

  2. BOption (b)

    350 and high

  3. COption (c)

    245.8 and low

  4. DOption (d)

    362.5 and high

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (a)A.

262.5 and low

Why this answer is correct

General Solution:

1. Solving for w, r, and z from Pie Chart Data:

⇒ We are given that 'r' is a two-digit product of two distinct single-digit primes, one of which is 3. The single-digit primes are 2, 3, 5, 7.

⇒ Possible values for r: 3 × 5 = 15; 3 × 7 = 21.

⇒ We are also given w + r = 33 and w > r.

⇒ Case 1: If r = 21, then w = 33 - 21 = 12. Here, w is not greater than r. So, this case is invalid.

⇒ Case 2: If r = 15, then w = 33 - 15 = 18. Here, w > r (18 > 15). So, this case is valid.

⇒ We have found r = 15 and w = 18.

⇒ The total angle of a pie chart is 360°. The distribution is P = 72°, Q = z%, R = (z-r)%, S = (180-w)°.

⇒ Angle for S = 180 - w = 180 - 18 = 162°.

⇒ Total angle for Q and R = 360° - (Angle P + Angle S) = 360° - (72° + 162°) = 360° - 234° = 126°.

⇒ Converting degrees to percentage: (Angle / 360) × 100.

⇒ Percentage for Q and R = (126 / 360) × 100 = 35%.

⇒ So, Q% + R% = 35% ⇒ z + (z - r) = 35.

⇒ z + (z - 15) = 35 ⇒ 2z = 50 ⇒ z = 25.

2. Percentage Distribution and Number of Items for each Buyer:

⇒ Total items (A + B) = 20,000.

⇒ P = (72/360) × 100 = 20%. Items = 0.20 × 20,000 = 4,000.

⇒ Q = z% = 25%. Items = 0.25 × 20,000 = 5,000.

⇒ R = (z-r)% = (25-15)% = 10%. Items = 0.10 × 20,000 = 2,000.

⇒ S = (162/360) × 100 = 45%. Items = 0.45 × 20,000 = 9,000.

Calculations:

The condition for the Cost Price (CP) of B in 2014 is that it is the square of a 2-digit number, ≥12 & ≤ 15. The possible CPs are 144, 169, 196, 225.

The Selling Price (SP) after D% discount on the Actual Market Price (MP) of Rs. 420 is: SP = 420 × (1 - D/100).

Profit is 50% on CP, so SP = CP × 1.5.

⇒ CP × 1.5 = 420 × (1 - D/100) ⇒ CP = 280 × (1 - D/100).

We test the possible CP values to find one that results in an integer D.

If CP = 196: 196 = 280 × (1 - D/100) ⇒ 196/280 = 0.7 = 1 - D/100 ⇒ D/100 = 0.3 ⇒ D = 30. This is an integer.

So, the Cost Price of B in 2014 is Rs. 196.

Now, find the Forecast Price of B in 2014. The ratio of Forecast Price to Cost Price is 30:28.

⇒ Forecast Price (2014) = (30/28) × CP = (30/28) × 196 = 30 × 7 = Rs. 210.

Check demand in 2014: Actual Price (420) > Forecast Price (210) ⇒ Low demand. This matches the condition.

Now, find the Forecast Price of B in 2015 (25% rise).

⇒ Forecast Price (2015) = Forecast Price (2014) × 1.25 = 210 × 1.25 = Rs. 262.5.

Determine demand in 2015: Compare Actual Price (2015) with Forecast Price (2015).

⇒ Actual Price of B in 2015 = Rs. 320.

⇒ Actual Price (320) > Forecast Price (262.5) ⇒ Low Demand.

∴ The forecast price is 262.5 and demand is low.

Question 132

The ratio of the radii of a cylinder and a sphere is 2 : 3. The volume of the sphere is given as 88y.

Quantity I: Volume of the cylinder

Quantity II: y / 4

Quantity III: Height of the cylinder × y

Choose the correct option:

  1. AOption (a)

    Quantity I > Quantity II > Quantity III

  2. BOption (b)

    Quantity I < Quantity II > Quantity III

  3. COption (c)

    Relationship between Quantity I and Quantity II cannot be determined, and Quantity II > Quantity III

  4. DOption (d)

    Relationship between Quantity I and Quantity II cannot be determined, and Relationship between Quantity II and Quantity III cannot be determined

  5. EOption (e)

    Quantity I = Quantity II > Quantity III

View answer & explanation

Correct answer

Answer: (d)D.

Relationship between Quantity I and Quantity II cannot be determined, and Relationship between Quantity II and Quantity III cannot be determined

Why this answer is correct

Shortcut Trick

Let radius of cylinder (r) = 2k and radius of sphere (R) = 3k.

Volume of sphere = (4/3) × π × (3k)3 = 36πk3 = 88y ⇒ y = 36πk3 / 88.

Quantity I (Vol. Cylinder) = π × (2k)2 × h = 4πk2h.

Since height (h) and ratio constant (k) are unknown variables without a fixed relation, the values cannot be compared.

∴ The correct answer is Relationship between Quantity I and Quantity II cannot be determined, and Relationship between Quantity II and Quantity III cannot be determined.

Alternate Method

Given: Ratio of radii r : R = 2 : 3. Volume of sphere = 88y.

⇒ Volume of sphere = (4/3) × π × R3 = 88y

⇒ (4/3) × π × (3k)3 = 88y ⇒ 36πk3 = 88y ⇒ y = (9πk3)/22

⇒ Quantity I = πr2h = π(2k)2h = 4πk2h

⇒ Quantity II = y / 4 = (9πk3) / 88

⇒ Quantity III = h × y = h × (9πk3)/22

⇒ Comparing Q-I and Q-II depends on the ratio of h and k, which is not provided. Similarly for Q-III.

∴ The correct answer is Relationship between Quantity I and Quantity II cannot be determined, and Relationship between Quantity II and Quantity III cannot be determined.

Additional Information

Volume of Cylinder

The volume is calculated as V = πr2h, where r is the base radius and h is the height.

Volume of Sphere

The volume of a sphere is given by V = (4/3)πR3, where R is the radius.

Variable Dependency

When comparing quantities with independent variables (like h and r here), a relationship cannot be established unless a constraint is provided.

Question 133

Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question.

What is the speed of Train G?

I. Train G crosses a platform of length 280 meters and the train H running in the same direction at a speed of 30 m/sec in 10.4 sec and 20 sec respectively.

II. Train J crosses platform of length 320 meters and train G running in the same direction in 20 sec and 72 sec respectively considering speed of train G is more than that of train J.

III. Train H crosses a platform of length 180 meters and train G having length 240 meters running in the same direction in 18 sec and 30 sec respectively considering speed of train G is more than that train H.

  1. AOption (a)

    All I, II and III

  2. BOption (b)

    Only III

  3. COption (c)

    Either I or II and III

  4. DOption (d)

    Both I and II

  5. EOption (e)

    None are sufficient

View answer & explanation

Correct answer

Answer: (e)E.

None are sufficient

Why this answer is correct

Shortcut Trick

Check Statement I: Two unknowns (Length LG and Speed SG) with two relative speed equations → Solvable.

Check Statement III: Two unknowns (Length LH and Speed SG) as SH and LG are findable → Solvable.

However, checking the data: In Statement I, SG − 30 = (LG + LH)/20. Since LH is unknown, Statement I alone is insufficient. Similarly for Statement III.

Combining statements still leaves certain variables like LH or LJ inconsistent or under-defined across comparisons.

∴ The correct answer is None are sufficient.

Alternate Method

Given: Platform lengths, crossing times, and relative directions.

Formula: Distance = Speed × Time; Relative Speed (Same direction) = S1 − S2

Case I: Let length and speed of Train G be LG and SG.

⇒ LG + 280 = SG × 10.4

⇒ LG + LH = (SG − 30) × 20

⇒ Two equations, three unknowns (LG, SG, LH). Insufficient.

Case III: From Train H crossing platform: LH + 180 = SH × 18.

⇒ From G crossing H: 240 + LH = (SG − SH) × 30.

⇒ Three unknowns (LH, SH, SG) with only two equations. Insufficient.

Conclusion: Even by combining statements, the lack of Train H or Train J lengths/speeds prevents finding a unique value for SG.

∴ The correct answer is None are sufficient.

Additional Information

Relative Speed

When two objects move in the same direction, relative speed is S1 − S2. In the opposite direction, it is S1 + S2.

Train Crossing Platform

Total distance covered = Length of Train + Length of Platform.

Data Sufficiency Rule

To solve for n variables, you generally require n independent linear equations.

Directions: Read the following information carefully and answer the questions based on it.

There are three sellers – Arun, Binny, and Chanda – dealing in hats and caps.

The number of hats sold by Binny is x% more than the number of caps sold by Arun. The total items (hats + caps) sold by Arun are 50% higher than the number of caps sold by him. The ratio of Binny’s caps to Chanda’s hats is 7 : 5. The number of caps sold by Chanda is 20% less than the caps sold by Arun. The total sales of Chanda (hats + caps) equals (Y × Binny’s hats) + 1. Chanda’s caps are also 36 more than Arun’s hats. The average number of hats sold by Arun and Chanda is 80. Altogether, Arun, Binny, and Chanda sold 672 hats and caps.

Question 134

What is the average of the caps sold by Binny and Chanda?

  1. AOption (a)

    114

  2. BOption (b)

    118

  3. COption (c)

    120

  4. DOption (d)

    124

  5. EOption (e)

    128

View answer & explanation

Correct answer

Answer: (b)B.

118

Why this answer is correct

General Solution:

Given:

Let H and C be the number of hats and caps.

Let A, B, C be Arun, Binny, and Chanda.

  1. HB = CA(1 + x/100)
  2. HA + CA = 1.5 × CA
  3. CB : HC = 7 : 5
  4. CC = 0.8 × CA
  5. HC + CC = (Y × HB) + 1
  6. CC = HA + 36
  7. (HA + HC) / 2 = 80
  8. Total items = 672

Now,

From (2):

⇒ HA = 1.5 × CA - CA = 0.5 × CA

Substitute this into (6):

⇒ CC = (0.5 × CA) + 36

Now equate with (4):

⇒ 0.8 × CA = 0.5 × CA + 36

⇒ 0.3 × CA = 36

⇒ CA = 120

Now we find the other values:

⇒ HA = 0.5 × 120 = 60

⇒ CC = 0.8 × 120 = 96

From (7):

⇒ HA + HC = 80 × 2 = 160

⇒ 60 + HC = 160

⇒ HC = 100

From (3):

⇒ CB / HC = 7 / 5

⇒ CB / 100 = 7 / 5

⇒ CB = 140

From (8), the total items:

⇒ (HA + CA) + (HB + CB) + (HC + CC) = 672

⇒ (60 + 120) + (HB + 140) + (100 + 96) = 672

⇒ 180 + HB + 140 + 196 = 672

⇒ HB + 516 = 672

⇒ HB = 156

From (1):

⇒ 156 = 120(1 + x/100)

⇒ 1.3 = 1 + x/100

⇒ x = 30

From (5):

⇒ 100 + 96 = (Y × 156) + 1

⇒ 195 = 156Y

⇒ Y = 195 / 156 = 1.25

Calculations:

⇒ Binny's caps (CB) = 140

⇒ Chanda's caps (CC) = 96

⇒ Average = (140 + 96) / 2 = 236 / 2 = 118

∴ The correct answer is 118.

Question 135

If the number of hats sold by Darshan = 48Y, then find the sum of Arun’s caps and Darshan’s hats.

  1. AOption (a)

    180

  2. BOption (b)

    215

  3. COption (c)

    145

  4. DOption (d)

    230

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (a)A.

180

Why this answer is correct

General Solution:

Given:

Let H and C be the number of hats and caps.

Let A, B, C be Arun, Binny, and Chanda.

  1. HB = CA(1 + x/100)
  2. HA + CA = 1.5 × CA
  3. CB : HC = 7 : 5
  4. CC = 0.8 × CA
  5. HC + CC = (Y × HB) + 1
  6. CC = HA + 36
  7. (HA + HC) / 2 = 80
  8. Total items = 672

Now,

From (2):

⇒ HA = 1.5 × CA - CA = 0.5 × CA

Substitute this into (6):

⇒ CC = (0.5 × CA) + 36

Now equate with (4):

⇒ 0.8 × CA = 0.5 × CA + 36

⇒ 0.3 × CA = 36

⇒ CA = 120

Now we find the other values:

⇒ HA = 0.5 × 120 = 60

⇒ CC = 0.8 × 120 = 96

From (7):

⇒ HA + HC = 80 × 2 = 160

⇒ 60 + HC = 160

⇒ HC = 100

From (3):

⇒ CB / HC = 7 / 5

⇒ CB / 100 = 7 / 5

⇒ CB = 140

From (8), the total items:

⇒ (HA + CA) + (HB + CB) + (HC + CC) = 672

⇒ (60 + 120) + (HB + 140) + (100 + 96) = 672

⇒ 180 + HB + 140 + 196 = 672

⇒ HB + 516 = 672

⇒ HB = 156

From (1):

⇒ 156 = 120(1 + x/100)

⇒ 1.3 = 1 + x/100

⇒ x = 30

From (5):

⇒ 100 + 96 = (Y × 156) + 1

⇒ 195 = 156Y

⇒ Y = 195 / 156 = 1.25

Calculations:

⇒ Darshan's hats = 48 × Y = 48 × 1.25 = 60

⇒ Arun's caps (CA) = 120

⇒ Required Sum = 120 + 60 = 180

∴ The correct answer is 180.

Question 136

If Eswar’s wallets are X% more than Chanda’s hats, then what is the ratio of Eswar’s wallets to Chanda’s caps?

  1. AOption (a)

    65:34

  2. BOption (b)

    56:37

  3. COption (c)

    64:33

  4. DOption (d)

    65:48

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (d)D.

65:48

Why this answer is correct

General Solution:

Given:

Let H and C be the number of hats and caps.

Let A, B, C be Arun, Binny, and Chanda.

  1. HB = CA(1 + x/100)
  2. HA + CA = 1.5 × CA
  3. CB : HC = 7 : 5
  4. CC = 0.8 × CA
  5. HC + CC = (Y × HB) + 1
  6. CC = HA + 36
  7. (HA + HC) / 2 = 80
  8. Total items = 672

Now,

From (2):

⇒ HA = 1.5 × CA - CA = 0.5 × CA

Substitute this into (6):

⇒ CC = (0.5 × CA) + 36

Now equate with (4):

⇒ 0.8 × CA = 0.5 × CA + 36

⇒ 0.3 × CA = 36

⇒ CA = 120

Now we find the other values:

⇒ HA = 0.5 × 120 = 60

⇒ CC = 0.8 × 120 = 96

From (7):

⇒ HA + HC = 80 × 2 = 160

⇒ 60 + HC = 160

⇒ HC = 100

From (3):

⇒ CB / HC = 7 / 5

⇒ CB / 100 = 7 / 5

⇒ CB = 140

From (8), the total items:

⇒ (HA + CA) + (HB + CB) + (HC + CC) = 672

⇒ (60 + 120) + (HB + 140) + (100 + 96) = 672

⇒ 180 + HB + 140 + 196 = 672

⇒ HB + 516 = 672

⇒ HB = 156

From (1):

⇒ 156 = 120(1 + x/100)

⇒ 1.3 = 1 + x/100

⇒ x = 30

From (5):

⇒ 100 + 96 = (Y × 156) + 1

⇒ 195 = 156Y

⇒ Y = 195 / 156 = 1.25

Calculations:

⇒ Eswar's wallets = HC + (X% of HC) = 100 + (30% of 100) = 130

⇒ Chanda's caps (CC) = 96

⇒ Required Ratio = 130 : 96

⇒ Simplified Ratio = 65 : 48

∴ The correct answer is 65:48.

Question 137

What is the difference between the hats sold by Binny and the caps sold by Chanda?

  1. AOption (a)

    58

  2. BOption (b)

    60

  3. COption (c)

    54

  4. DOption (d)

    65

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (b)B.

60

Why this answer is correct

General Solution:

Given:

Let H and C be the number of hats and caps.

Let A, B, C be Arun, Binny, and Chanda.

  1. HB = CA(1 + x/100)
  2. HA + CA = 1.5 × CA
  3. CB : HC = 7 : 5
  4. CC = 0.8 × CA
  5. HC + CC = (Y × HB) + 1
  6. CC = HA + 36
  7. (HA + HC) / 2 = 80
  8. Total items = 672

Now,

From (2):

⇒ HA = 1.5 × CA - CA = 0.5 × CA

Substitute this into (6):

⇒ CC = (0.5 × CA) + 36

Now equate with (4):

⇒ 0.8 × CA = 0.5 × CA + 36

⇒ 0.3 × CA = 36

⇒ CA = 120

Now we find the other values:

⇒ HA = 0.5 × 120 = 60

⇒ CC = 0.8 × 120 = 96

From (7):

⇒ HA + HC = 80 × 2 = 160

⇒ 60 + HC = 160

⇒ HC = 100

From (3):

⇒ CB / HC = 7 / 5

⇒ CB / 100 = 7 / 5

⇒ CB = 140

From (8), the total items:

⇒ (HA + CA) + (HB + CB) + (HC + CC) = 672

⇒ (60 + 120) + (HB + 140) + (100 + 96) = 672

⇒ 180 + HB + 140 + 196 = 672

⇒ HB + 516 = 672

⇒ HB = 156

From (1):

⇒ 156 = 120(1 + x/100)

⇒ 1.3 = 1 + x/100

⇒ x = 30

From (5):

⇒ 100 + 96 = (Y × 156) + 1

⇒ 195 = 156Y

⇒ Y = 195 / 156 = 1.25

Calculations:

⇒ Difference = HB - CC

⇒ Difference = 156 - 96 = 60

∴ The correct answer is 60.

Directions: The following questions are based on the information given below.

Two polynomial equations are provided:

Equation 1: 6x2 + 29x + P = 0

Equation 2: 3x + 1 = 0

It is known that when the polynomial from Equation 1 is divided by the polynomial from Equation 2, the quotient is (2x + 9) and the remainder is 19.

Question 138

What is the largest root of Equation 1?

  1. AOption (a)

    -7/2

  2. BOption (b)

    -4/3

  3. COption (c)

    -1/3

  4. DOption (d)

    -2/5

  5. EOption (e)

    -3/5

View answer & explanation

Correct answer

Answer: (b)B.

-4/3

Why this answer is correct

Given:

Equation 1: f(x) = 6x2 + 29x + P

Equation 2 (divisor): g(x) = 3x + 1

Quotient = 2x + 9, Remainder = 19

Use the division identity:

f(x) = g(x)·quotient(x) + remainder

⇒ 6x2 + 29x + P = (3x + 1)(2x + 9) + 19

Compute (3x + 1)(2x + 9):

(3x + 1)(2x + 9) = 6x2 + 29x + 9

So:

6x2 + 29x + P = 6x2 + 29x + 9 + 19 = 6x2 + 29x + 28

Find roots of Equation 1 (now 6x2 + 29x + 28 = 0):

Factorisation: (3x + 4)(2x + 7) = 0

Roots: x = −4/3 and x = −7/2

Thus, the larger (greater) root is −4/3.

Question 139

What is the value of P?

  1. AOption (a)

    9

  2. BOption (b)

    19

  3. COption (c)

    28

  4. DOption (d)

    35

  5. EOption (e)

    47

View answer & explanation

Correct answer

Answer: (c)C.

28

Why this answer is correct

Given:

Equation 1: f(x) = 6x2 + 29x + P

Equation 2 (divisor): g(x) = 3x + 1

Quotient = 2x + 9, Remainder = 19

Use the division identity:

f(x) = g(x)·quotient(x) + remainder

⇒ 6x2 + 29x + P = (3x + 1)(2x + 9) + 19

Compute (3x + 1)(2x + 9):

(3x + 1)(2x + 9) = 6x2 + 29x + 9

So:

6x2 + 29x + P = 6x2 + 29x + 9 + 19 = 6x2 + 29x + 28

P = 28.

Thus, the correct answer is 28.

Directions: Read the following information carefully and answer the questions based on it.

There are three shops A, B, and C that sell macaroons. The number of customers in C is greater than B, and the number of customers in B is greater than A. The difference between the customers in A and B is exactly 1 less than the difference between the customers in B and C. The ratio of customers in B and C is 4:5. Each customer in shops B and C buys the same number of macaroons. The total macaroons sold by A and C are equal. Together, all three shops sell 168 macaroons.

Question 140

If each macaroon in C is sold at ₹30 and in B at ₹35, then what is the difference between the total revenues of shops B and C?

  1. AOption (a)

    ₹180

  2. BOption (b)

    ₹90

  3. COption (c)

    ₹120

  4. DOption (d)

    ₹125

  5. EOption (e)

    ₹140

View answer & explanation

Correct answer

Answer: (c)C.

₹120

Why this answer is correct

General Solution:

Given:

Customers: (CC > CB > CA)

Customer Gap: ((CB - CA) = (CC - CB) - 1)

Customer Ratio: (CB : CC = 4:5)

Macaroons per customer: (mB = mC)

Macaroons Sold: (MA = MC)

Total Macaroons: (MA + MB + MC = 168)

Formula used:

Macaroons Sold (M) = Number of Customers (C) × Macaroons per customer (m)

Calculations:

Let CB = 4x and CC = 5x

⇒ (4x - CA) = (5x - 4x) - 1

⇒ (4x - CA) = x - 1

⇒ CA = 3x + 1

Total Macaroons:

⇒ (MA + MB + MC = 168)

⇒ (MC + MB + MC = 168) [Since MA = MC]

⇒ (2MC + MB = 168)

Let macaroons per customer in B and C be 'm'.

⇒ (2(CC × m) + (CB × m) = 168)

⇒ (2(5x × m) + (4x × m) = 168)

⇒ (10xm + 4xm = 168)

⇒ (14xm = 168)

⇒ xm = 12

Since MA = MC, then (CA × mA = CC × m)

⇒ ((3x+1) × mA = 5xm)

⇒ ((3x+1) × mA = 5 × 12 = 60)

When x = 3, ((3×3+1) × mA = 60) ⇒ (10 × mA = 60) ⇒ (mA = 6). This gives an integer value.

Using x = 3 in xm = 12 gives (3 × m = 12) ⇒ (m = 4).

So, Macaroons sold by B (MB) = (CB × m) = (4x × m) = 4 × 3 × 4 = 48.

Macaroons sold by C (MC) = (CC × m) = (5x × m) = 5 × 3 × 4 = 60.

Calculations:

Given:

Price per macaroon in C = ₹30

Price per macaroon in B = ₹35

Now,

Revenue of Shop C = Macaroons sold × Price

⇒ Revenue C = 60 × 30 = ₹1800

Revenue of Shop B = Macaroons sold × Price

⇒ Revenue B = 48 × 35 = ₹1680

Difference = Revenue C - Revenue B

⇒ Difference = 1800 - 1680 = ₹120

∴ The difference in revenues is ₹120.

Question 141

If a fourth shop D sells 33.33% more macaroons than shop B and the ratio of sold macaroons to unsold macaroons in shop D is 8:13, then how many macaroons were produced (manufactured) by shop D?

  1. AOption (a)

    142

  2. BOption (b)

    168

  3. COption (c)

    150

  4. DOption (d)

    172

  5. EOption (e)

    135

View answer & explanation

Correct answer

Answer: (b)B.

168

Why this answer is correct

General Solution:

Given:

Customers: (CC > CB > CA)

Customer Gap: ((CB - CA) = (CC - CB) - 1)

Customer Ratio: (CB : CC = 4:5)

Macaroons per customer: (mB = mC)

Macaroons Sold: (MA = MC)

Total Macaroons: (MA + MB + MC = 168)

Formula used:

Macaroons Sold (M) = Number of Customers (C) × Macaroons per customer (m)

Calculations:

Let CB = 4x and CC = 5x

⇒ (4x - CA) = (5x - 4x) - 1

⇒ (4x - CA) = x - 1

⇒ CA = 3x + 1

Total Macaroons:

⇒ (MA + MB + MC = 168)

⇒ (MC + MB + MC = 168) [Since MA = MC]

⇒ (2MC + MB = 168)

Let macaroons per customer in B and C be 'm'.

⇒ (2(CC × m) + (CB × m) = 168)

⇒ (2(5x × m) + (4x × m) = 168)

⇒ (10xm + 4xm = 168)

⇒ (14xm = 168)

⇒ xm = 12

Since MA = MC, then (CA × mA = CC × m)

⇒ ((3x+1) × mA = 5xm)

⇒ ((3x+1) × mA = 5 × 12 = 60)

When x = 3, ((3×3+1) × mA = 60) ⇒ (10 × mA = 60) ⇒ (mA = 6). This gives an integer value.

Using x = 3 in xm = 12 gives (3 × m = 12) ⇒ (m = 4).

So, Macaroons sold by B (MB) = (CB × m) = (4x × m) = 4 × 3 × 4 = 48.

Macaroons sold by C (MC) = (CC × m) = (5x × m) = 5 × 3 × 4 = 60.

Calculations:

Given:

Macaroons sold by D = 33.33% more than B

Ratio of Sold to Unsold in D = 8:13

Now,

Macaroons sold by D = (48 + 1/3 × 48)

⇒ Sold by D = 48 + 16 = 64

Ratio of Sold to Unsold = 8 : 13

⇒ 8 parts = 64

⇒ 1 part = 8

⇒ Unsold macaroons = 13 parts = 13 × 8 = 104

⇒ Total produced = Sold + Unsold = 64 + 104 = 168

∴ Shop D produced 168 macaroons.

Question 142

How many macaroons does each customer in shop C purchase?

  1. AOption (a)

    8

  2. BOption (b)

    9

  3. COption (c)

    6

  4. DOption (d)

    5

  5. EOption (e)

    4

View answer & explanation

Correct answer

Answer: (e)E.

4

Why this answer is correct

General Solution:

Given:

Customers: (CC > CB > CA)

Customer Gap: ((CB - CA) = (CC - CB) - 1)

Customer Ratio: (CB : CC = 4:5)

Macaroons per customer: (mB = mC)

Macaroons Sold: (MA = MC)

Total Macaroons: (MA + MB + MC = 168)

Formula used:

Macaroons Sold (M) = Number of Customers (C) × Macaroons per customer (m)

Calculations:

Let CB = 4x and CC = 5x

⇒ (4x - CA) = (5x - 4x) - 1

⇒ (4x - CA) = x - 1

⇒ CA = 3x + 1

Total Macaroons:

⇒ (MA + MB + MC = 168)

⇒ (MC + MB + MC = 168) [Since MA = MC]

⇒ (2MC + MB = 168)

Let macaroons per customer in B and C be 'm'.

⇒ (2(CC × m) + (CB × m) = 168)

⇒ (2(5x × m) + (4x × m) = 168)

⇒ (10xm + 4xm = 168)

⇒ (14xm = 168)

⇒ xm = 12

Since MA = MC, then (CA × mA = CC × m)

⇒ ((3x+1) × mA = 5xm)

⇒ ((3x+1) × mA = 5 × 12 = 60)

When x = 3, ((3×3+1) × mA = 60) ⇒ (10 × mA = 60) ⇒ (mA = 6). This gives an integer value.

Using x = 3 in xm = 12 gives (3 × m = 12) ⇒ (m = 4).

So, Macaroons sold by B (MB) = (CB × m) = (4x × m) = 4 × 3 × 4 = 48.

Macaroons sold by C (MC) = (CC × m) = (5x × m) = 5 × 3 × 4 = 60.

Calculations:

The number of macaroons each customer in shop C purchases is 'm'.

⇒ m = 4

∴ Each customer in shop C purchases 4 macaroons.

Question 143

What is the breadth of a cuboid in cm?

I: The area of the face with dimensions breadth and height is 150 sq cm.

II: The length of the diagonal of the cuboid is 529\sqrt{529}​ cm.

III: If the length of the cuboid is increased by 20%, its total surface area increases by 200 sq cm.

  1. AOption (a)

    I and II together are sufficient

  2. BOption (b)

    All I, II, and III together are required

  3. COption (c)

    II and III together are sufficient

  4. DOption (d)

    All I, II, and III together are not sufficient to answer the question

  5. EOption (e)

    None of the above

View answer & explanation

Correct answer

Answer: (d)D.

All I, II, and III together are not sufficient to answer the question

Why this answer is correct

Shortcut Trick

From Statement I: b × h = 150 (Two variables, one equation).

From Statement II: l2 + b2 + h2 = 529 (Three variables, one equation).

From Statement III: Change in Total Surface Area involves 2 × Δl(b + h), but l is unknown.

Even by combining all three, we have 3 equations with 3 variables, but they are non-linear and interdependent, leading to multiple possible sets of values or unsolvable quadratic forms for a single breadth.

∴ The correct answer is All I, II, and III together are not sufficient to answer the question.

Alternate Method

Given: Let Length = l, Breadth = b, and Height = h.

⇒ From Statement I: Area = b × h = 150 sq cm.

⇒ From Statement II: Diagonal √(l2 + b2 + h2) = √529 ⇒ l2 + b2 + h2 = 529.

⇒ From Statement III: Original TSA = 2(lb + bh + lh). New Length = 1.2l.

⇒ New TSA = 2(1.2lb + bh + 1.2lh). Increase = 2(0.2lb + 0.2lh) = 0.4l(b + h) = 200.

⇒ l(b + h) = 500.

⇒ We have three equations: (1) bh = 150, (2) l2 + b2 + h2 = 529, (3) lb + lh = 500.

⇒ From (3), l = 500 / (b + h). Substitute in (2): [500/(b + h)]2 + b2 + h2 = 529.

⇒ Using (b + h)2 = b2 + h2 + 2bh ⇒ b2 + h2 = (b + h)2 − 300.

⇒ Let (b + h) = S. Then (500/S)2 + S2 − 300 = 529 ⇒ 250000/S2 + S2 = 829.

⇒ This results in a biquadratic equation in S. Even if S is found, b and h cannot be uniquely determined without more info.

∴ The correct answer is All I, II, and III together are not sufficient to answer the question.

Additional Information

Cuboid Formulas

Total Surface Area = 2(lb + bh + hl) and Volume = l × b × h.

Space Diagonal

The length of the longest rod that can fit in a cuboid is d = √(l2 + b2 + h2).

Data Sufficiency Tip

For n variables, you generally need n independent linear equations. Non-linear equations may lead to multiple solutions.

Question 144

Determine the ratio of the ages of A, B, and C after 10 years.

Statements:

I. The ratio of the ages of A and B after 5 years is 4 : 5.

II. The ratio of the ages of A and C, 7 years ago, was 3 : 4.

III. The present age difference between A and B, and the age difference between B and C 10 years later, is 5 years.

  1. AOption (a)

    Statements I and II together are sufficient

  2. BOption (b)

    All three statements together are sufficient

  3. COption (c)

    Statements II and III together are sufficient

  4. DOption (d)

    All three statements together are not sufficient

  5. EOption (e)

    Statements I and III together are sufficient

View answer & explanation

Correct answer

Answer: (d)D.

All three statements together are not sufficient

Why this answer is correct

Shortcut Trick

To find the ratio of ages of A, B, and C, we need at least two independent equations involving all three variables or their differences.

Statement I gives a ratio between A and B. Statement II gives a ratio between A and C.

Statement III provides two age differences but doesn't specify which person is older, leading to multiple mathematical possibilities.

Even by combining all statements, the absolute ages cannot be uniquely determined due to the ambiguity in the difference of ages in Statement III.

∴ The correct answer is All three statements together are not sufficient.

Alternate Method

Given: Present ages of A, B, and C as a, b, and c.

From Statement I: (a + 5) ÷ (b + 5) = 4 ÷ 5 ⇒ 5a − 4b = −5 --- (eq 1)

From Statement II: (a − 7) ÷ (c − 7) = 3 ÷ 4 ⇒ 4a − 3c = −7 --- (eq 2)

From Statement III: |a − b| = 5 and |(b + 10) − (c + 10)| = 5 ⇒ |b − c| = 5.

⇒ This statement creates multiple scenarios: (b − a) = 5 or (a − b) = 5. Combined with (eq 1), only one might be consistent, but the relationship between B and C remains ambiguous.

⇒ If we take (b − a) = 5 from (eq 1), then 5a − 4(a + 5) = −5 ⇒ a − 20 = −5 ⇒ a = 15, b = 20. From (eq 2), 4(15) − 3c = −7 ⇒ 67 = 3c ⇒ c = 22.33.

⇒ However, Statement III is poorly defined regarding which difference is 5 (sum or individual), and multiple age combinations could satisfy the ratios without a fixed anchor.

∴ The correct answer is All three statements together are not sufficient.

Additional Information

Age Ratio Properties

The difference between ages of two people remains constant throughout their lives. If A − B = x, it remains x at any point in time.

Data Sufficiency in Ratios

To find a unique ratio between three variables, we need at least two independent linear equations or a single continued ratio (A:B and B:C).

Ambiguity in Differences

The term age difference is an absolute value |x − y|. Without knowing who is older, a single difference value represents two possible linear equations.

Question 145

In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option.

Quantity A: There are four inlet pipes A, B, C and D. Inlet pipe B takes 7 hours more to fill the tank when compared to A. Two inlet pipes C and D when working together can fill the tank in 3.5 hours and efficiency of both the pipe is same if all of them working together can fill the tank in 2 hours. Calculate the time taken by A to fill the tank.

Quantity B: The ratio of time taken to fill the tank by two pipes A and B is in the ratio 3 ∶ 2 and that of pipe B and C is 1 ∶ 3. Pipe A and B are inlet pipes, pipe C is outlet pipe working together they can fill the tank in 7.5 hours. Calculate the time taken by A to fill the tank when working alone.

  1. AOption (a)

    Quantity A > Quantity B

  2. BOption (b)

    Quantity A < Quantity B

  3. COption (c)

    Either Quantity A = Quantity B or no relation can be established 

  4. DOption (d)

    Quantity A ≥ Quantity B

  5. EOption (e)

    Quantity A ≤ Quantity B

View answer & explanation

Correct answer

Answer: (b)B.

Quantity A < Quantity B

Why this answer is correct

Shortcut TrickQuantity A: Combined efficiency of C and D is 1/3.5 = 2/7. Total efficiency (A+B+C+D) is 1/2. Efficiency of A+B = 1/2 − 2/7 = 3/14. Let time of A be x, then 1/x + 1/(x+7) = 3/14 ⇒ x = 7 hours.Quantity B: Ratio of time A:B:C = 3:2:6. Efficiency ratio = 2:3:1. Net efficiency = 2 + 3 − 1 = 4 units. Total work = 7.5 × 4 = 30 units. Time for A = 30 ÷ 2 = 15 hours.Comparing: 7 hours < 15 hours.∴ The correct answer is Quantity A < Quantity B.Alternate MethodQuantity A:Let time taken by Pipe A be x hours and Pipe B be (x + 7) hours.Combined rate of C and D = 1/3.5 = 2/7 per hour.Combined rate of A, B, C, and D = 1/2 per hour.⇒ (1/x) + (1/(x + 7)) + (2/7) = 1/2⇒ (1/x) + (1/(x + 7)) = 1/2 − 2/7 = 3/14⇒ (x + 7 + x) / (x(x + 7)) = 3/14⇒ 14(2x + 7) = 3(x2 + 7x)⇒ 28x + 98 = 3x2 + 21x ⇒ 3x2 − 7x − 98 = 0⇒ 3x2 − 21x + 14x − 98 = 0 ⇒ 3x(x − 7) + 14(x − 7) = 0⇒ x = 7 hours.Quantity B:Time ratios: A:B = 3:2 and B:C = 1:3 ⇒ A:B:C = 3:2:6.Let times be 3k, 2k, and 6k. Efficiencies: A = 1/3k, B = 1/2k, C = −1/6k (outlet).⇒ (1/3k) + (1/2k) − (1/6k) = 1/7.5⇒ (2 + 3 − 1) / 6k = 1/7.5 ⇒ 4 / 6k = 1/7.5⇒ 6k = 30 ⇒ k = 5.⇒ Time for A = 3k = 15 hours.Comparing A (7) and B (15), A < B.∴ The correct answer is Quantity A < Quantity B.Additional InformationInlet and Outlet PipesInlet pipes add water (positive efficiency), while outlet pipes remove water (negative efficiency). Net Work = ∑(Inlet Rates) − ∑(Outlet Rates).Efficiency and Time RelationshipEfficiency is inversely proportional to the time taken to complete the work. Efficiency = Total Work ÷ Time.

Question 146

A, B, and C enter into a partnership. A's investment is ₹(p+3000), B's investment is ₹(q+2000), and C's investment is ₹r. A and B invested for a period of 12 months each, while C invested for 9 months. The total profit at the end of the year is ₹1,24,200, out of which C's share of the profit is ₹41,400.

Which of the following can be a possible value of r?

  1. AOption (a)

    p - q + 1000

  2. BOption (b)

    (1/2)(q - p + 2000)

  3. COption (c)

    p² + q² + 2500

  4. DOption (d)

    (2/3)(p + q + 5000)

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (d)D.

(2/3)(p + q + 5000)

Why this answer is correct

Shortcut Trick

Profit ratio is Investment × Time. Total profit = 1,24,200 and C profit = 41,400.

Ratio of C profit to (A+B) profit = 41,400 : (1,24,200 − 41,400) = 41,400 : 82,800 = 1 : 2.

Investment ratio: (r × 9) : [(p + 3000) × 12 + (q + 2000) × 12] = 1 : 2.

9r : 12(p + q + 5000) = 1 : 2 ⇒ 18r = 12(p + q + 5000).

3r = 2(p + q + 5000) ⇒ r = (2/3)(p + q + 5000).

∴ The correct answer is (2/3)(p + q + 5000).

Alternate Method

Given → A Investment = (p + 3000), B Investment = (q + 2000), C Investment = r. Times → tA = 12, tB = 12, tC = 9. Total Profit = 1,24,200. Formulas: Profit Ratio = (I1 × T1) : (I2 × T2) : (I3 × T3)

⇒ Total Profit = 1,24,200; C Profit = 41,400. ⇒ (A + B) Profit = 1,24,200 − 41,400 = 82,800. ⇒ Ratio of (A + B) profit to C profit = 82,800 / 41,400 = 2 / 1. ⇒ [(p + 3000) × 12 + (q + 2000) × 12] / (r × 9) = 2 / 1. ⇒ [12(p + q + 5000)] / 9r = 2 / 1. ⇒ 12(p + q + 5000) = 18r. ⇒ r = (12/18)(p + q + 5000) = (2/3)(p + q + 5000).

∴ The correct answer is (2/3)(p + q + 5000).

Additional Information

Partnership Basics

Profit is distributed based on the product of Capital and Time. Formula: P1 : P2 = C1T1 : C2T2.

Types of Partners

Working Partner manages the business; Sleeping Partner only invests money.

Directions: Read the following information carefully and answer the questions based on it.

The line graph given below shows the profit percentage and discount percentage of five different articles. The table given shows the cost price of each items.

 

ArticlesCost price
A1050
B1600
C1720
D1800
E900

Question 147

Find the average selling price of A and C.

  1. AOption (a)

    ₹1,888

  2. BOption (b)

    ₹2,111

  3. COption (c)

    ₹2,095

  4. DOption (d)

    ₹2,246

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (b)B.

₹2,111

Why this answer is correct

General Solution:

First, let's calculate the Selling Price (SP) and Marked Price (MP) for each article, which will be helpful for answering all the questions.

Key Formulas Used:

Selling Price (SP) = Cost Price × (1 + Profit % / 100)

Marked Price (MP) = Selling Price / (1 - Discount % / 100)

ArticleCost Price (CP)Profit %Discount %Selling Price (SP)Marked Price (MP)
A105040%20%14701837.5
B160020%25%19202560
C172060%20%27523440
D180045%40%26104350
E90020%60%10802700

Calculations:

To find the average selling price, we add the selling prices of articles A and C and then divide by 2.

Selling Price of A = ₹1,470

Selling Price of C = ₹2,752

Average SP = (1470 + 2752) / 2 = 4222 / 2 = ₹2,111

Hence, the correct answer is ₹2,111.

Question 148

If article D would have been sold at 20% profit but the marked price remains the same as earlier, then find the difference between the profit earned earlier and the new profit.

  1. AOption (a)

    380

  2. BOption (b)

    340

  3. COption (c)

    420

  4. DOption (d)

    450

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (d)D.

450

Why this answer is correct

General Solution:

First, let's calculate the Selling Price (SP) and Marked Price (MP) for each article, which will be helpful for answering all the questions.

Key Formulas Used:

Selling Price (SP) = Cost Price × (1 + Profit % / 100)

Marked Price (MP) = Selling Price / (1 - Discount % / 100)

ArticleCost Price (CP)Profit %Discount %Selling Price (SP)Marked Price (MP)
A105040%20%14701837.5
B160020%25%19202560
C172060%20%27523440
D180045%40%26104350
E90020%60%10802700

Calculations:

Earlier Profit:

Profit = 45% of CP = 0.45 × 1800 = ₹810

New Profit Scenario:

New Profit = 20% of CP = 0.20 × 1800 = ₹360

Difference:

Difference = Earlier Profit - New Profit = 810 - 360 = ₹450

Thus, the correct option is 450.

Question 149

If the cost price of article X is √[(If article B is marked 20% above its Cost price) + 105] and the selling price of article X is Rs. (92 - 42). Then find the profit percentage earned by selling article X.

  1. AOption (a)

    37.5%

  2. BOption (b)

    48.21%

  3. COption (c)

    66.66%

  4. DOption (d)

    44.44%

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (d)D.

44.44%

Why this answer is correct

General Solution:

First, let's calculate the Selling Price (SP) and Marked Price (MP) for each article, which will be helpful for answering all the questions.

Key Formulas Used:

Selling Price (SP) = Cost Price × (1 + Profit % / 100)

Marked Price (MP) = Selling Price / (1 - Discount % / 100)

ArticleCost Price (CP)Profit %Discount %Selling Price (SP)Marked Price (MP)
A105040%20%14701837.5
B160020%25%19202560
C172060%20%27523440
D180045%40%26104350
E90020%60%10802700

Calculations:

Here, we need to first determine the Cost Price and Selling Price of the new article X.

Cost Price (CP) of X:

Article B's price when marked 20% above its CP = 1600 × 1.20 = 1920

CP of X = √ (1920 + 105) = √ (2025) = ₹45

Selling Price (SP) of X:

SP of X = (9² - 4²) = (81 - 16) = ₹65

Profit Percentage of X:

Profit = SP - CP = 65 - 45 = ₹20

Profit % = (Profit / CP) × 100 = (20 / 45) × 100 = 44.44%

Thus, the correct answer is 44.44%.

Question 150

If the marked price of article C is 25% more than that of article X, then find the differences between the marked prices of articles C and X.

  1. AOption (a)

    688

  2. BOption (b)

    672

  3. COption (c)

    578

  4. DOption (d)

    498

  5. EOption (e)

    550

View answer & explanation

Correct answer

Answer: (a)A.

688

Why this answer is correct

General Solution:

First, let's calculate the Selling Price (SP) and Marked Price (MP) for each article, which will be helpful for answering all the questions.

Key Formulas Used:

Selling Price (SP) = Cost Price × (1 + Profit % / 100)

Marked Price (MP) = Selling Price / (1 - Discount % / 100)

ArticleCost Price (CP)Profit %Discount %Selling Price (SP)Marked Price (MP)
A105040%20%14701837.5
B160020%25%19202560
C172060%20%27523440
D180045%40%26104350
E90020%60%10802700

Calculations:

Marked Price (MP) of C: From our table, the MP of C is ₹3,440.

Marked Price (MP) of X:

MP of C = 1.25 × MP of X

3440 = 1.25 × MP of X

MP of X = 3440 / 1.25 = ₹2,752

Difference:

Difference = MP of C - MP of X = 3440 - 2752 = ₹688

Thus, the correct answer is 688.

Question 151

Find which of the following/s is/are false.

  1. Marked price of article A is non-integer.

II. Difference between the cost price of article D and marked price of article E is not equals to cost price of any one of the given items.

III. Selling price of article C is divisible by 3.

  1. AOption (a)

    Only I and III

  2. BOption (b)

    Only I and II

  3. COption (c)

    Only II

  4. DOption (d)

    Only II & III

  5. EOption (e)

    Only I 

View answer & explanation

Correct answer

Answer: (d)D.

Only II & III

Why this answer is correct

General Solution:

First, let's calculate the Selling Price (SP) and Marked Price (MP) for each article, which will be helpful for answering all the questions.

Key Formulas Used:

Selling Price (SP) = Cost Price × (1 + Profit % / 100)

Marked Price (MP) = Selling Price / (1 - Discount % / 100)

ArticleCost Price (CP)Profit %Discount %Selling Price (SP)Marked Price (MP)
A105040%20%14701837.5
B160020%25%19202560
C172060%20%27523440
D180045%40%26104350
E90020%60%10802700

Calculations:

We need to evaluate each statement to determine if it's true or false.

I. Marked price of article A is non-integer.

From our table, the MP of A is 1837.5. This is a non-integer.

The statement is TRUE.

II. Difference between the cost price of article D and marked price of article E is not equals to cost price of any one of the given items.

CP of D = 1800. MP of E = 2700.

Difference = |1800 - 2700| = 900.

The cost price of article E is 900.

Since the difference is equal to the CP of E, the statement is FALSE.

III. Selling price of article C is divisible by 3.

SP of C = 2752.

The sum of its digits is 2 + 7 + 5 + 2 = 16. Since 16 is not divisible by 3, 2752 is not divisible by 3.

The statement is FALSE.

Since statements II and III are false, the correct option is Only II and III.

Question 152

An article is marked up by 3r and sold at a discount of 0.4r%. If the same article is sold at a loss of 0.4r% on its cost price, then the selling price of the article becomes 180 less than the actual selling price. Find the difference between 25r and 1500.

  1. AOption (a)

    r2/√100

  2. BOption (b)

    r²/8

  3. COption (c)

    15г/2.5

  4. DOption (d)

    16r/2.4

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (a)A.

r2/√100

Why this answer is correct

Shortcut Trick

Let Cost Price (CP) be 100.

Marked Price (MP) = 100 + 3r and Actual SP = (100 + 3r) × (100 − 0.4r) ÷ 100.

Loss SP = 100 − 0.4r. Difference between SPs = [(100 + 3r)(100 − 0.4r) ÷ 100] − (100 − 0.4r) = 1.8.

Solving for r: (100 − 0.4r) × (3r ÷ 100) = 1.8 ⇒ 3r − 0.012r2 = 1.8 ⇒ 0.012r2 − 3r + 1.8 = 0.

Solving quadratic ⇒ r = 60 (approx or specific based on units). Difference 25r − 1500 = 25(60) − 1500 = 0.

∴ The correct answer is r2 / √100.

Alternate Method

Given → Mark-up = 3r, Discount = 0.4r%, Loss = 0.4r%, Price Diff = 180. Formulas: SP = MP × (100 − D%) ÷ 100 | SP = CP × (100 − L%) ÷ 100.

⇒ Let CP = 10000 (to avoid decimals). MP = 10000 + 3r. ⇒ Actual SP = (10000 + 3r) × (100 − 0.4r)/100. ⇒ Loss SP = 10000 × (100 − 0.4r)/100 = 100(100 − 0.4r). ⇒ SP diff = [(10000 + 3r) × (100 − 0.4r)/100] − [100(100 − 0.4r)] = 180. ⇒ [(100 − 0.4r) ÷ 100] × [10000 + 3r − 10000] = 180. ⇒ (100 − 0.4r) × 0.03r = 180 ⇒ 3r − 0.012r2 = 180. ⇒ 0.012r2 − 3r + 180 = 0 ⇒ r2 − 250r + 15000 = 0. ⇒ (r − 100)(r − 150) = 0. If r = 100: 25(100) − 1500 = 1000. ⇒ Option 1: r2 / √100 = 10000 / 10 = 1000.

∴ The correct answer is r2 / √100.

Additional Information

Marked Price & Discount

Marked price is the price displayed on the product. Discount is always calculated on the Marked Price: SP = MP − Discount.

Profit and Loss on CP

Profit or Loss is generally calculated on the Cost Price (CP) unless stated otherwise.

Directions: The following questions are based on the information given below. Analyze the data carefully to answer the questions.

There are three mi×tures A, B, and C, each consisting of only milk and water. The ratio of the total quantity of mi×tures P, Q, and R is given by p:q:r

The table below shows the partial composition of these mi×tures.

Mi×tureMilk (Litres)Water (Litres)
A24m
Bn - 420
C3mj

 

Notes:

(i) m and n are positive integers such that m + n = 58.

(ii) pn - qm = 16p

(iii) p and q are single-digit positive integers, both are less than 5, and q > p.

Question 153

What is the ratio of the quantity of water in mi×ture A to the quantity of milk in mi×ture C?

  1. AOption (a)

    1:2

  2. BOption (b)

    3:4

  3. COption (c)

    2:5

  4. DOption (d)

    1:3

  5. EOption (e)

    5:7

View answer & explanation

Correct answer

Answer: (d)D.

1:3

Why this answer is correct

From Note (iii), p and q are single digits less than 5, with q > p. The possible pairs for (p, q) are: (1,2), (1,3), (1,4), (2,3), (2,4), and (3,4).

From Note (ii), we have pn - qm = 16p. Dividing by p, we get n - (q/p)m = 16, or n = 16 + (q/p)m.

From Note (i), we have m + n = 58. Substitute the expression for n from the previous step:

m + (16 + (q/p)m) = 58

m(1 + q/p) = 42

m((p+q)/p) = 42

m = 42p / (p+q)

We test our possible pairs for (p, q) to find an integer value for m. The only pair that results in a valid solution after checking the total quantity ratio is (3,4).

For (p,q) = (3,4): m = 42(3) / (3+4) = 126 / 7 = 18.

If m = 18, then from m + n = 58, we get n = 40.

Let's verify this solution using the total quantity ratio p:q.

Total Quantity of A = 24 + m = 24 + 18 = 42 L.

Total Quantity of B = (n - 4) + 20 = (40 - 4) + 20 = 56 L.

Ratio A : B = 42 : 56 = 3 : 4. This matches our p : q ratio.

The decoded values are: p = 3, q = 4, m = 18, n = 40.

Thus,

MixtureMilk (Litres)Water (Litres)Total Quantity
A241842 L
B362056 L
C54j54 + j

Calculations:

Ratio of the quantity of water in mixture A to the quantity of milk in mixture C:

Water in A = 18 L

Milk in C = 54 L

 

Ratio = 18 : 54 = 1 : 3

 

Hence, the correct answer is 1**:3.**

Question 154

If 21 litres of the mi×ture are removed from mi×ture A and 19 litres of pure water are then added, what is the new total quantity of mi×ture A?

  1. AOption (a)

    28 L

  2. BOption (b)

    35 L

  3. COption (c)

    40 L

  4. DOption (d)

    56 L

  5. EOption (e)

    62 L

View answer & explanation

Correct answer

Answer: (c)C.

40 L

Why this answer is correct

From Note (iii), p and q are single digits less than 5, with q > p. The possible pairs for (p, q) are: (1,2), (1,3), (1,4), (2,3), (2,4), and (3,4).

From Note (ii), we have pn - qm = 16p. Dividing by p, we get n - (q/p)m = 16, or n = 16 + (q/p)m.

From Note (i), we have m + n = 58. Substitute the expression for n from the previous step:

m + (16 + (q/p)m) = 58

m(1 + q/p) = 42

m((p+q)/p) = 42

m = 42p / (p+q)

We test our possible pairs for (p, q) to find an integer value for m. The only pair that results in a valid solution after checking the total quantity ratio is (3,4).

For (p,q) = (3,4): m = 42(3) / (3+4) = 126 / 7 = 18.

If m = 18, then from m + n = 58, we get n = 40.

Let's verify this solution using the total quantity ratio p:q.

Total Quantity of A = 24 + m = 24 + 18 = 42 L.

Total Quantity of B = (n - 4) + 20 = (40 - 4) + 20 = 56 L.

Ratio A : B = 42 : 56 = 3 : 4. This matches our p : q ratio.

The decoded values are: p = 3, q = 4, m = 18, n = 40.

Thus,

MixtureMilk (Litres)Water (Litres)Total Quantity
A241842 L
B362056 L
C54j54 + j

Calculations:

Initial quantity of mixture A = 42 L.

After removing 21 L of mixture: 42 - 21 = 21 L.

After adding 19 L of milk: 21 + 19 = 40 L.

Hence, the correct answer is 40 L.

Question 155

If r is a single digit integer greater than 5, which of the following could be a possible value for j (the quantity of water in mi×ture C)?

  1. AOption (a)

    m+10

  2. BOption (b)

    m+20

  3. COption (c)

    m+30

  4. DOption (d)

    m+40

  5. EOption (e)

    m+50

View answer & explanation

Correct answer

Answer: (d)D.

m+40

Why this answer is correct

From Note (iii), p and q are single digits less than 5, with q > p. The possible pairs for (p, q) are: (1,2), (1,3), (1,4), (2,3), (2,4), and (3,4).

From Note (ii), we have pn - qm = 16p. Dividing by p, we get n - (q/p)m = 16, or n = 16 + (q/p)m.

From Note (i), we have m + n = 58. Substitute the expression for n from the previous step:

m + (16 + (q/p)m) = 58

m(1 + q/p) = 42

m((p+q)/p) = 42

m = 42p / (p+q)

We test our possible pairs for (p, q) to find an integer value for m. The only pair that results in a valid solution after checking the total quantity ratio is (3,4).

For (p,q) = (3,4): m = 42(3) / (3+4) = 126 / 7 = 18.

If m = 18, then from m + n = 58, we get n = 40.

Let's verify this solution using the total quantity ratio p:q.

Total Quantity of A = 24 + m = 24 + 18 = 42 L.

Total Quantity of B = (n - 4) + 20 = (40 - 4) + 20 = 56 L.

Ratio A : B = 42 : 56 = 3 : 4. This matches our p : q ratio.

The decoded values are: p = 3, q = 4, m = 18, n = 40.

Thus,

MixtureMilk (Litres)Water (Litres)Total Quantity
A241842 L
B362056 L
C54j54 + j

Calculations:

First, we establish the relationship between j and r. The ratio of quantities A:C is p:r, which is 3:r.

42 / (54 + j) = 3 / r

14r = 54 + j

j = 14r - 54

The question states r is a single digit integer greater than 5, so r can be 6, 7, 8 and 9

Let's find the possible values for j:

If r = 6, j = 14(6) - 54 = 30.

If r = 7, j = 14(7) - 54 = 44.

If r = 8, j = 14(8) - 54 = 58.

If r = 9, j = 14(9) - 54 = 72.

Now, let's evaluate the options using our known value m = 18:

A) m + 10 = 18 + 10 = 28

B) m + 30 = 18 + 30 = 48

C) m + 40 = 18 + 40 = 58

D) m + 20 = 18 + 20 = 38

Comparing the possible values of j with the values from the options, we see that 58 is a valid possibility (when r=8).

Hence, the correct answer is m + 40.

155 questions in the full paper