Previous Year Paper

IBPS PO Prelims Memory Based Paper (Held On: 19 October 2024 Shift 4) (Previous Year Paper)

Held in 2024

100 questions60 minutes
With answers
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Reasoning Ability (35 questions)

Direction: Read the following information carefully and answer the questions based on given information.

Eight persons B, G, J, K, O, R, S and U live on four floors apartment which consists of two flats on each floor which are Flat X and Flat Y but not necessarily in same order. The floor number 1 is the bottom most floor which is just below floor 2 and so on. The flat X of floor 1 is just below the flat X of floor 2 and flat Y of floor 1 is just below flat Y of floor 2 and so on. The flat X is in west of flat Y. There is a gap of only one floor between G and S who lives on even number floor. R lives to the northeast of O. J lives just below K but in different flats. There is only one floor between U and B who lives above the floor of S. The number of floor above the floor of G is same as below the floor of J. No one lives to the west of G. B and U live on different type of flats.

Question 1

Who lives just above the floor of J?

  1. AOption (a)

    G

  2. BOption (b)

    R

  3. COption (c)

    O

  4. DOption (d)

    B

  5. EOption (e)

    S

View answer & explanation

Correct answer

Answer: (e)E.

S

Why this answer is correct

Here, persons are B, G, J, K, O, R, S and U.

  1. There is a gap of only one floor between G and S who lives on the even number floor (Since B lives above the floor of S).

  2. No one lives to the west of G.

  3. The number of floor above the floor of G is same as below the floor of J.  

FloorsCase – 1Case – 2Case – 3Case – 4
Flat XFlat YFlat XFlat YFlat XFlat YFlat XFlat Y
4GGGG
3
2SSSS
1JJJJ

 

  1. There is only one floor between U and B who lives above the floor of S.

  2. J lives just below K but in different flats. Therefore, case 2 and case 3 are eliminated.

FloorsCase – 1Case – 4
Flat XFlat YFlat XFlat Y
4GG
3
2SKKS
1JUUJ

 

  1. R lives to the northeast of O.

  2. B and U live on different type of flats. Therefore, case 1 is eliminated. Hence, the final arrangement is as follows

FloorsFlat XFlat Y
4GR
3OB
2KS
1UJ

 

Hence, S lives just above the floor of J.

Question 2

Which of the following statement(s) is/ are correct?

A) K lives to the east of S.

B) U lives on flat X.

C) R lives to the east of G.

  1. AOption (a)

    Only A 

  2. BOption (b)

    Both A and B

  3. COption (c)

    Only C

  4. DOption (d)

    Both B and C

  5. EOption (e)

    Both A and C

View answer & explanation

Correct answer

Answer: (d)D.

Both B and C

Why this answer is correct

Here, persons are B, G, J, K, O, R, S and U.

  1. There is a gap of only one floor between G and S who lives on the even number floor (Since B lives above the floor of S).

  2. No one lives to the west of G.

  3. The number of floor above the floor of G is same as below the floor of J.  

FloorsCase – 1Case – 2Case – 3Case – 4
Flat XFlat YFlat XFlat YFlat XFlat YFlat XFlat Y
4GGGG
3
2SSSS
1JJJJ

 

  1. There is only one floor between U and B who lives above the floor of S.

  2. J lives just below K but in different flats. Therefore, case 2 and case 3 are eliminated.

FloorsCase – 1Case – 4
Flat XFlat YFlat XFlat Y
4GG
3
2SKKS
1JUUJ

 

  1. R lives to the northeast of O.

  2. B and U live on different type of flats. Therefore, case 1 is eliminated. Hence, the final arrangement is as follows

FloorsFlat XFlat Y
4GR
3OB
2KS
1UJ

 

Since, K lives to the west of S. Therefore, statement A is incorrect.

U lives on flat X. Therefore, statement B is correct.

R lives to the east of G. Therefore, statement C is correct.

Hence, the correct answer is Both B and C.

Question 3

Which of the following combination is incorrectly matched?

  1. AOption (a)

    O - Flat X - Floor 3

  2. BOption (b)

    S - Flat X - Floor 2

  3. COption (c)

    U - Flat X - Floor 1

  4. DOption (d)

    R - Flat Y - Floor 4

  5. EOption (e)

    All are correct.

View answer & explanation

Correct answer

Answer: (b)B.

S - Flat X - Floor 2

Why this answer is correct

Here, persons are B, G, J, K, O, R, S and U.

  1. There is a gap of only one floor between G and S who lives on the even number floor (Since B lives above the floor of S).

  2. No one lives to the west of G.

  3. The number of floor above the floor of G is same as below the floor of J.  

FloorsCase – 1Case – 2Case – 3Case – 4
Flat XFlat YFlat XFlat YFlat XFlat YFlat XFlat Y
4GGGG
3
2SSSS
1JJJJ

 

  1. There is only one floor between U and B who lives above the floor of S.

  2. J lives just below K but in different flats. Therefore, case 2 and case 3 are eliminated.

FloorsCase – 1Case – 4
Flat XFlat YFlat XFlat Y
4GG
3
2SKKS
1JUUJ

 

  1. R lives to the northeast of O.

  2. B and U live on different type of flats. Therefore, case 1 is eliminated. Hence, the final arrangement is as follows

FloorsFlat XFlat Y
4GR
3OB
2KS
1UJ

 

Since, S lives in Flat Y on Floor 2 rest of the combinations are correctly matched.

Hence, the incorrect combination is S - Flat X - Floor 2.

Question 4

Who lives to the Northwest of B?

  1. AOption (a)

    R

  2. BOption (b)

    G

  3. COption (c)

    O

  4. DOption (d)

    K

  5. EOption (e)

    U

View answer & explanation

Correct answer

Answer: (b)B.

G

Why this answer is correct

Here, persons are B, G, J, K, O, R, S and U.

  1. There is a gap of only one floor between G and S who lives on the even number floor (Since B lives above the floor of S).

  2. No one lives to the west of G.

  3. The number of floor above the floor of G is same as below the floor of J.  

FloorsCase – 1Case – 2Case – 3Case – 4
Flat XFlat YFlat XFlat YFlat XFlat YFlat XFlat Y
4GGGG
3
2SSSS
1JJJJ

 

  1. There is only one floor between U and B who lives above the floor of S.

  2. J lives just below K but in different flats. Therefore, case 2 and case 3 are eliminated.

FloorsCase – 1Case – 4
Flat XFlat YFlat XFlat Y
4GG
3
2SKKS
1JUUJ

 

  1. R lives to the northeast of O.

  2. B and U live on different type of flats. Therefore, case 1 is eliminated. Hence, the final arrangement is as follows

FloorsFlat XFlat Y
4GR
3OB
2KS
1UJ

 

Hence, G lives to the Northwest of B.

Question 5

Which of the following statement(s) is/ are correct regarding U?

  1. AOption (a)

    U lives to the Northeast of S.

  2. BOption (b)

    U and B lives on same flat.

  3. COption (c)

    U lives on Flat Y.

  4. DOption (d)

    There is a gap of two floors between U and K.

  5. EOption (e)

    U lives to the south of O.

View answer & explanation

Correct answer

Answer: (e)E.

U lives to the south of O.

Why this answer is correct

Here, persons are B, G, J, K, O, R, S and U.

  1. There is a gap of only one floor between G and S who lives on the even number floor (Since B lives above the floor of S).

  2. No one lives to the west of G.

  3. The number of floor above the floor of G is same as below the floor of J.  

FloorsCase – 1Case – 2Case – 3Case – 4
Flat XFlat YFlat XFlat YFlat XFlat YFlat XFlat Y
4GGGG
3
2SSSS
1JJJJ

 

  1. There is only one floor between U and B who lives above the floor of S.

  2. J lives just below K but in different flats. Therefore, case 2 and case 3 are eliminated.

FloorsCase – 1Case – 4
Flat XFlat YFlat XFlat Y
4GG
3
2SKKS
1JUUJ

 

  1. R lives to the northeast of O.

  2. B and U live on different type of flats. Therefore, case 1 is eliminated. Hence, the final arrangement is as follows

FloorsFlat XFlat Y
4GR
3OB
2KS
1UJ

 

Since, U lives to southwest of S. Therefore, statement first is incorrect.

U and B lives on different flats. Therefore, statement second is incorrect.

U lives on Flat X. Therefore, statement third is incorrect.

K lives just the floor and flat of U. Therefore, statement fourth is incorrect.

U lives to the south of O. Therefore,statement fifth is correct.

Hence, the correct statement is U lives to the south of O.

Question 6

Directions

In the question below are given two statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read both the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:

Some Cashews are Nuts.

All Nuts are Walnuts.

Some Almonds are Walnuts.

Conclusions:

I. Some Walnuts are Cashews.

II. At least some Cashews being Almonds is a possibility.

  1. AOption (a)

    Both conclusions I and II follow

  2. BOption (b)

    Neither conclusion I nor II follows

  3. COption (c)

    Only conclusion I follows

  4. DOption (d)

    Only conclusion II follows

  5. EOption (e)

    Either conclusion I or II follows

View answer & explanation

Correct answer

Answer: (a)A.

Both conclusions I and II follow

Why this answer is correct

The least possible Venn diagram for the given statements is as follows:

Conclusions:

I. Some Walnuts are Cashews.  → True (Since, from the above diagram it is obvious. Hence, follows).

II. At least some Cashews being Almonds is a possibility. → True (Since, there is no direct relation between the two is given so it is not definite but possible. Hence, follows)

Hence, the correct answer is Both conclusions I and II follow.

Question 7

Directions

In the question below are given two statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read both the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:

Some Eight are Four.

Some Four are Six.

All Six are Two.

Conclusions:

I. Some Two are Four.

II. Some Eight are Six.

  1. AOption (a)

    Either conclusion I or II follows

  2. BOption (b)

    Only conclusion I follows

  3. COption (c)

    Neither conclusion I nor II follows

  4. DOption (d)

    Both conclusions I and II follows

  5. EOption (e)

    Only conclusion II follows

View answer & explanation

Correct answer

Answer: (b)B.

Only conclusion I follows

Why this answer is correct

The least possible Venn diagram for the given statements is as follows:

Conclusions:

I. Some Two are Four. → True (Since, from the above diagram it is clear. Hence, follows).

II. Some Eight are Six. → False (Since, there is no direct relation between the two is given it can be possible but not definite. Hence, does not follow).

Hence, the correct answer is Only conclusion I follows.

Question 8

Directions

In the question below are given two statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read both the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:

Some Carrybags are Trolleys.

Some Trolleys are Basket.

All Bags are Carrybags.

Conclusions:

I. Some Trolleys are Bags.

II. Some Basket are Carrybags.

  1. AOption (a)

    Either conclusion I or II follows

  2. BOption (b)

    Only conclusion II follows

  3. COption (c)

    Both conclusions I and II follow 

  4. DOption (d)

    Neither conclusion I nor II follows

  5. EOption (e)

    Only conclusion I follows

View answer & explanation

Correct answer

Answer: (d)D.

Neither conclusion I nor II follows

Why this answer is correct

The least possible Venn Diagram for the given statements is as follows:

Conclusions:

I. Some Trolleys are Bags.  →  False (Since, there is no direct relation between trolleys and bags is given. Hence, does not follow).

II. Some Basket are Carrybags.  → False (Since, there is no direct relation between Basket and Carrybags is given. Hence, does not follow).

Hence, the correct answer is neither conclusion I nor II follows.

Question 9

Directions

In the question below are given two statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read both the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:

Some Anthracite are Bituminous.

Some Lignite are Coal.

All Anthracite are Coal.

Conclusions:

I. Some Coal are Bituminous.

II. Some Lignite are Anthracite.

  1. AOption (a)

    Only conclusion I follows

  2. BOption (b)

    Either conclusion I or II follows

  3. COption (c)

    Both Conclusions I and II follow

  4. DOption (d)

    Only conclusion II follows

  5. EOption (e)

    Neither conclusion I nor II follows

View answer & explanation

Correct answer

Answer: (a)A.

Only conclusion I follows

Why this answer is correct

The least possible Venn diagram for the given statements is as follows:

Conclusions:

I. Some Coal are Bituminous. → True (Since, from the Venn diagram it is clear. Hence, follows).

II. Some Lignite are Anthracite. → False (Since, there is no direct relation between the Lignite and Anthracite is given but it can be possible not definite. Hence, does not follow).

Hence, the correct answer is Only conclusion I follows.

Direction: Read the following information carefully and answer the questions based on given information.

A certain number of persons sit on the horizontal row and faces towards North direction. Five persons sit between Q and S. N sits immediate right to K. Four persons sit between S and K. Q sits second from the extreme end. The number of person sit between L and S is one more than that of between N and M who sits two places away from R. L sits three places away from Q. M sits to the right of K.  The number of persons sit to the left of S is same as to that of to the right of K.

Question 10

What is the position of L with respect to S?

  1. AOption (a)

    Immediate left

  2. BOption (b)

    Fourth to the right

  3. COption (c)

    Sixth to the right

  4. DOption (d)

    Third to the left

  5. EOption (e)

    Second to the left

View answer & explanation

Correct answer

Answer: (d)D.

Third to the left

Why this answer is correct

  1. Q sits second from the extreme end.

  2. Five persons sit between Q and S.

  3. L sits three places away from Q. 

  4. Four persons sit between S and K.

  5. N sits immediate right to K.

  6. The number of person sit between L and S is one more than that of between N and M who sits two places away from R.

  7. The number of persons sit to the left of S is same as to that of to the right of K.

  8. M sits to the right of K. Since, one person sit between M and R therefore, case 2 is eliminated. Hence, the final arrangement is as follows

Hence, L sits third to the left of S.

Question 11

How many persons can sit on the row?

  1. AOption (a)

    15

  2. BOption (b)

    25

  3. COption (c)

    28

  4. DOption (d)

    20

  5. EOption (e)

    19

View answer & explanation

Correct answer

Answer: (d)D.

20

Why this answer is correct

  1. Q sits second from the extreme end.

  2. Five persons sit between Q and S.

  3. L sits three places away from Q. 

  4. Four persons sit between S and K.

  5. N sits immediate right to K.

  6. The number of person sit between L and S is one more than that of between N and M who sits two places away from R.

  7. The number of persons sit to the left of S is same as to that of to the right of K.

  8. M sits to the right of K. Since, one person sit between M and R therefore, case 2 is eliminated. Hence, the final arrangement is as follows

Hence, 20 persons can sit on the row.

Question 12

Which of the following statement(s) is/ are correct?

A) More than five persons sit between K and R.

B) Seven persons sit between L and K.

C) Only three persons sit to the right of R.

  1. AOption (a)

    Only A

  2. BOption (b)

    Both B and C

  3. COption (c)

    All of these

  4. DOption (d)

    Only B

  5. EOption (e)

    More than one option

View answer & explanation

Correct answer

Answer: (d)D.

Only B

Why this answer is correct

  1. Q sits second from the extreme end.

  2. Five persons sit between Q and S.

  3. L sits three places away from Q. 

  4. Four persons sit between S and K.

  5. N sits immediate right to K.

  6. The number of person sit between L and S is one more than that of between N and M who sits two places away from R.

  7. The number of persons sit to the left of S is same as to that of to the right of K.

  8. M sits to the right of K. Since, one person sit between M and R therefore, case 2 is eliminated. Hence, the final arrangement is as follows

Since, Only four persons sit between K and R. Therefore, statement A is incorrect

Seven persons sit between L and K. Therefore, statement B is correct.

Only two persons sit to the right of R. Therefore, statement C is incorrect.

Hence, the correct answer is Only B.

Question 13

In the word "CAPRICIOUS", each consonant is replaced by the previous letter and all the vowels are replaced by the next letter as per the alphabetical series, then rearrange all the letters in alphabetical order from left to right. Then which letter comes third from the right side?

  1. AOption (a)

    P

  2. BOption (b)

    Q

  3. COption (c)

    R

  4. DOption (d)

    S

  5. EOption (e)

    V

View answer & explanation

Correct answer

Answer: (b)B.

Q

Why this answer is correct

Given word: "CAPRICIOUS"

According to the question, 

Given wordCAPRICIOUS
Consonant = -1B-OQ-B---R
Vowels = +1-B--J-JPV-
RearrangementBBBJJOPQRV

 

Now, third letter from the right side is Q.

Hence, the correct answer is Q.

Question 14

If it is possible to make a meaningful word from the second letter, fifth letter, ninth letter and eleventh letter of the word "QUINTESSENCE", then which of the following letter is the third letter of the word? If more than one such word can be made, then give "X" as the answer, and if no such word can be formed then give "Z" as the answer.

  1. AOption (a)

    X

  2. BOption (b)

    C

  3. COption (c)

    T

  4. DOption (d)

    Y

  5. EOption (e)

    E

View answer & explanation

Correct answer

Answer: (c)C.

T

Why this answer is correct

Given word:- QUINTESSENCE

The second letter is 'U', the fifth letter is 'T', the ninth letter is 'E' and the eleventh letter is 'C'.

The meaningful word formed by the letters U, T, E and C is Cute.

Hence, the third letter of the word Cute is "T".

Direction: Read the following information carefully and answer the questions based on given information.

Six persons D, H, M, Q, R and V born in six different years 1986, 1990, 1993, 1996, 2004 and 2007 and each person likes to drink one of the six different kinds of coffee which are Affogato, Americano, Doppio, Espresso, Mocha and Latte but not necessarily in same order. Their ages are calculated as per the base year 2024. The person who likes to drink Latte born in the year which is a multiple of least odd prime number. V likes neither Espresso nor born just before R. The age of Q is prime number and likes to drink Mocha. The person who likes to drink Affogato has the prime number age. The difference between age of V and D is a perfect cube number and one of them likes to drink Americano. Only two persons born between Q and R. The person who likes to drink Doppio born before the person who likes to drink Espresso but not the eldest person. R born after V. M does not like Doppio.

Question 15

Which of the following combination is correct?

  1. AOption (a)

    M - Espresso

  2. BOption (b)

    V - Doppio

  3. COption (c)

    D - Americano

  4. DOption (d)

    R - Affogato

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (d)D.

R - Affogato

Why this answer is correct

Here, persons are D, H, M, Q, R and V; given years 1986, 1990, 1993, 1996, 2004 and 2007 and the given drinks are Affogato, Americano, Doppio, Espresso, Mocha and Latte.

  1. Only two persons born between Q and R.

  2. The age of Q is prime number and likes to drink Mocha.

  3. The person who likes to drink Affogato has the prime number age.

YearsAgesCase – 1Case – 2
PersonsDrinksPersonsDrinks
198638
199034
199331QMochaRAffogato
199628
200420
200717RAffogatoQMocha

 

  1. R born after V. Therefore, case 2 is eliminated.                                                              

  2. The difference between age of V and D is a perfect cube number and one of them likes to drink Americano.

YearsAgesCase – 1(a)Case – 1(b)
PersonsDrinksPersonsDrinks
198638
199034
199331QMochaQMocha
199628VD
200420DV
200717RAffogatoRAffogato

 

  1. The person who likes to drink Latte born in the year which is multiple of least odd prime number i.e. 3.

  2. The person who likes to drink Doppio born before the person who likes to drink Espresso but not the eldest person.

  3. V likes neither Espresso nor born just before R. Therefore, case 1(b) is eliminated.

  4. M does not like Doppio. The only person left is H. Hence, the final arrangement is as follows

YearsAgesPersonsDrinks
198638MLatte
199034HDoppio
199331QMocha
199628VAmericano
200420DEspresso
200717RAffogato

 

Hence, the correct combination is R - Affogato.

Question 16

Who among the following person has age which is half the age of the person who likes Doppio?

  1. AOption (a)

    V

  2. BOption (b)

    Q

  3. COption (c)

    R

  4. DOption (d)

    D

  5. EOption (e)

    H

View answer & explanation

Correct answer

Answer: (c)C.

R

Why this answer is correct

Here, persons are D, H, M, Q, R and V; given years 1986, 1990, 1993, 1996, 2004 and 2007 and the given drinks are Affogato, Americano, Doppio, Espresso, Mocha and Latte.

  1. Only two persons born between Q and R.

  2. The age of Q is prime number and likes to drink Mocha.

  3. The person who likes to drink Affogato has the prime number age.

YearsAgesCase – 1Case – 2
PersonsDrinksPersonsDrinks
198638
199034
199331QMochaRAffogato
199628
200420
200717RAffogatoQMocha

 

  1. R born after V. Therefore, case 2 is eliminated.                                                              

  2. The difference between age of V and D is a perfect cube number and one of them likes to drink Americano.

YearsAgesCase – 1(a)Case – 1(b)
PersonsDrinksPersonsDrinks
198638
199034
199331QMochaQMocha
199628VD
200420DV
200717RAffogatoRAffogato

 

  1. The person who likes to drink Latte born in the year which is multiple of least odd prime number i.e. 3.

  2. The person who likes to drink Doppio born before the person who likes to drink Espresso but not the eldest person.

  3. V likes neither Espresso nor born just before R. Therefore, case 1(b) is eliminated.

  4. M does not like Doppio. The only person left is H. Hence, the final arrangement is as follows

YearsAgesPersonsDrinks
198638MLatte
199034HDoppio
199331QMocha
199628VAmericano
200420DEspresso
200717RAffogato

 

Since, H likes Doppio and his age is 34 years which is twice the age of R who likes Affogato.

Hence, the correct answer is R.

Question 17

Which among the following coffee liked by the person who was born in the leap year?

  1. AOption (a)

    Latte

  2. BOption (b)

    Americano

  3. COption (c)

    Doppio

  4. DOption (d)

    Affogato

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (b)B.

Americano

Why this answer is correct

Here, persons are D, H, M, Q, R and V; given years 1986, 1990, 1993, 1996, 2004 and 2007 and the given drinks are Affogato, Americano, Doppio, Espresso, Mocha and Latte.

  1. Only two persons born between Q and R.

  2. The age of Q is prime number and likes to drink Mocha.

  3. The person who likes to drink Affogato has the prime number age.

YearsAgesCase – 1Case – 2
PersonsDrinksPersonsDrinks
198638
199034
199331QMochaRAffogato
199628
200420
200717RAffogatoQMocha

 

  1. R born after V. Therefore, case 2 is eliminated.                                                              

  2. The difference between age of V and D is a perfect cube number and one of them likes to drink Americano.

YearsAgesCase – 1(a)Case – 1(b)
PersonsDrinksPersonsDrinks
198638
199034
199331QMochaQMocha
199628VD
200420DV
200717RAffogatoRAffogato

 

  1. The person who likes to drink Latte born in the year which is multiple of least odd prime number i.e. 3.

  2. The person who likes to drink Doppio born before the person who likes to drink Espresso but not the eldest person.

  3. V likes neither Espresso nor born just before R. Therefore, case 1(b) is eliminated.

  4. M does not like Doppio. The only person left is H. Hence, the final arrangement is as follows

YearsAgesPersonsDrinks
198638MLatte
199034HDoppio
199331QMocha
199628VAmericano
200420DEspresso
200717RAffogato

 

Since, V likes Americano and D likes Espresso born in the leap year.

Hence, the correct answer is Americano.

Direction: Read the following information carefully and answer the questions based on given information.

Ashu starts walking from point A towards east direction for 8 Km and reaches at point B. Then, he takes a left turn and walks for 3 Km and reaches at point C. From here, he takes a left turn after walking for 4 Km he reaches at point D. After that he takes another left turn and walks for 7 Km to reach at point E. Then he takes again a left turn and walks for 6 Km to reach at point F. There after he takes one more left turn and walks for 4 Km to reach at point G.

Question 18

What is the total distance from point B to point E?

  1. AOption (a)

    23 Km

  2. BOption (b)

    15 Km

  3. COption (c)

    10 Km

  4. DOption (d)

    14 Km

  5. EOption (e)

    11 Km

View answer & explanation

Correct answer

Answer: (d)D.

14 Km

Why this answer is correct

  1. Ashu starts walking from point A towards east direction for 8 Km and reaches at point B.

  2. He takes a left turn and walks for 3 Km and reaches at point C.

  3. From here, he takes a left turn after walking for 4 Km he reaches at point D. 

4) After that he takes another left turn and walks for 7 Km to reach at point E.

  1. Then he takes again a left turn and walks for 6 Km to reach at point F.

  2. There after he takes one more left turn and walks for 4 Km to reach at point G. Hence, the final arrangement is as follows

Since, total distance from B to point E = distance between point B and point C + distance between point C and point D + distance between point D and point E.

Total distance = 3 Km + 4 Km + 7 Km = 14 Km

Hence, the total distance between point B and point E is 14 Km.

Question 19

Which of the following statement(s) is/ are correct regarding point F?

  1. AOption (a)

    Point D is in Northeast direction to point F.

  2. BOption (b)

    Point F is in southwest direction with respect to point C.

  3. COption (c)

    Point A is in Northwest direction to point F.

  4. DOption (d)

    Point F is in south direction with respect to point B.

  5. EOption (e)

    None of these.

View answer & explanation

Correct answer

Answer: (c)C.

Point A is in Northwest direction to point F.

Why this answer is correct

1) Ashu starts walking from point A towards east direction for 8 Km and reaches at point B.

  1. He takes a left turn and walks for 3 Km and reaches at point C.

  2. From here, he takes a left turn after walking for 4 Km he reaches at point D. 

4) After that he takes another left turn and walks for 7 Km to reach at point E.

  1. Then he takes again a left turn and walks for 6 Km to reach at point F.

  2. There after he takes one more left turn and walks for 4 Km to reach at point G. Hence, the final arrangement is as follows

Since, point D is in Northwest direction to point F. Therefore, statement first is incorrect.

Point F is in Southeast direction with respect to point C. Therefore, statement second is incorrect.

Point A is in Northwest direction to point F. Therefore, statement third is correct.

Point F is in southeast direction with respect to point B. Therefore, statement fourth is incorrect.

Hence, the correct statement is Point A is in Northwest direction to point F.

Question 20

Find the odd one out

  1. AOption (a)

    AG

  2. BOption (b)

    DC

  3. COption (c)

    EF

  4. DOption (d)

    BG

  5. EOption (e)

    CB

View answer & explanation

Correct answer

Answer: (e)E.

CB

Why this answer is correct

1) Ashu starts walking from point A towards east direction for 8 Km and reaches at point B.

  1. He takes a left turn and walks for 3 Km and reaches at point C.

  2. From here, he takes a left turn after walking for 4 Km he reaches at point D. 

4) After that he takes another left turn and walks for 7 Km to reach at point E.

  1. Then he takes again a left turn and walks for 6 Km to reach at point F.

  2. There after he takes one more left turn and walks for 4 Km to reach at point G. Hence, the final arrangement is as follows

Since, each pair represents position from West to East except CB which represents North to South direction.

Hence, the odd one is CB.

Question 21

What is the direction of point G with respect to point A?

  1. AOption (a)

    Northeast

  2. BOption (b)

    South

  3. COption (c)

    East

  4. DOption (d)

    West

  5. EOption (e)

    Southeast

View answer & explanation

Correct answer

Answer: (c)C.

East

Why this answer is correct

1) Ashu starts walking from point A towards east direction for 8 Km and reaches at point B.

  1. He takes a left turn and walks for 3 Km and reaches at point C.

  2. From here, he takes a left turn after walking for 4 Km he reaches at point D. 

4) After that he takes another left turn and walks for 7 Km to reach at point E.

  1. Then he takes again a left turn and walks for 6 Km to reach at point F.

  2. There after he takes one more left turn and walks for 4 Km to reach at point G. Hence, the final arrangement is as follows

Hence, point G is in east direction with respect to point A.

Direction: Read the following information carefully and answer the questions based on given information.

Fourteen persons A, B, C, D, E, F, G, P, Q, R, S, T, U and V sit on two parallel rows such that seven persons A to G sit on row 1 faces towards North direction and seven persons P to V sit on row 2 faces towards South direction but not necessarily in same order. Each person on row 1 faces towards the person sit opposite to him on row 2. Neither E nor B sits at extreme end. Three persons sit between A and the person who sits opposite to T. U sits second to the right of R. Q sits adjacent to the person who sits opposite to G. Neither F nor D faces T or Q. P sits immediate left to the person who faces D. E sits third to the right of B. V sits to the right of S. Only C sits adjacent to A.

Question 22

Which of the following statement(s) is/ are incorrect?

A) Q sits to the right of U.

B) V sits at extreme end.

C) C sits second to the right of D.

  1. AOption (a)

    Only A

  2. BOption (b)

    None of these

  3. COption (c)

    Both B and C

  4. DOption (d)

    All of these

  5. EOption (e)

    Only C

View answer & explanation

Correct answer

Answer: (b)B.

None of these

Why this answer is correct

Here persons on row 1 A, B, C, D, E, F, G faces North direction and persons on row 2 P, Q, R, S, T, U, V faces towards South direction.

  1. Only C sits adjacent to A.

  2. Three persons sit between A and the person who sits opposite to T.  

  3. Neither E nor B sits at extreme end.

  4. E sits third to the right of B.

  5. Neither F nor D faces T or Q.

  6. Q sits adjacent to the person who sits opposite to G.

  7. P sits immediate left to the person who faces D. Therefore, case 2 is eliminated.

  8. U sits second to the right of R.

  9. V sits to the right of S. Hence, the final arrangement is as follows

Since, Q sits second to the right of U. Therefore, statement A is correct.

V sits at extreme left end. Therefore, statement B is correct.

C sits second to the right of D. Therefore, statement C is correct.

Hence, the correct answer is None of these.

Question 23

In a certain way U is related to G and R is related to E, then who among the following person is related to B?

  1. AOption (a)

    Q

  2. BOption (b)

    T

  3. COption (c)

    S

  4. DOption (d)

    P

  5. EOption (e)

    V

View answer & explanation

Correct answer

Answer: (b)B.

T

Why this answer is correct

Here persons on row 1 A, B, C, D, E, F, G faces North direction and persons on row 2 P, Q, R, S, T, U, V faces towards South direction.

  1. Only C sits adjacent to A.

  2. Three persons sit between A and the person who sits opposite to T.  

  3. Neither E nor B sits at extreme end.

  4. E sits third to the right of B.

  5. Neither F nor D faces T or Q.

  6. Q sits adjacent to the person who sits opposite to G.

  7. P sits immediate left to the person who faces D. Therefore, case 2 is eliminated.

  8. U sits second to the right of R.

  9. V sits to the right of S. Hence, the final arrangement is as follows

Since, U sits immediate left to the person who sits opposite to G and R sits immediate left to the person who faces E then in the same way T is related to B who sits immediate left to person who faces B.

Hence, the correct answer is T.

Question 24

Find the odd one out.

  1. AOption (a)

    S

  2. BOption (b)

    G

  3. COption (c)

    F

  4. DOption (d)

    V

  5. EOption (e)

    A

View answer & explanation

Correct answer

Answer: (b)B.

G

Why this answer is correct

Here persons on row 1 A, B, C, D, E, F, G faces North direction and persons on row 2 P, Q, R, S, T, U, V faces towards South direction.

  1. Only C sits adjacent to A.

  2. Three persons sit between A and the person who sits opposite to T.  

  3. Neither E nor B sits at extreme end.

  4. E sits third to the right of B.

  5. Neither F nor D faces T or Q.

  6. Q sits adjacent to the person who sits opposite to G.

  7. P sits immediate left to the person who faces D. Therefore, case 2 is eliminated.

  8. U sits second to the right of R.

  9. V sits to the right of S. Hence, the final arrangement is as follows

Since, each person except G sits at the extreme end.

Hence, the odd one is G.

Question 25

How many persons sit to the right of T?

  1. AOption (a)

    Four persons

  2. BOption (b)

    As many to the left of C.

  3. COption (c)

    Three

  4. DOption (d)

    Two

  5. EOption (e)

    More than one option

View answer & explanation

Correct answer

Answer: (d)D.

Two

Why this answer is correct

Here persons on row 1 A, B, C, D, E, F, G faces North direction and persons on row 2 P, Q, R, S, T, U, V faces towards South direction.

  1. Only C sits adjacent to A.

  2. Three persons sit between A and the person who sits opposite to T.  

  3. Neither E nor B sits at extreme end.

  4. E sits third to the right of B.

  5. Neither F nor D faces T or Q.

  6. Q sits adjacent to the person who sits opposite to G.

  7. P sits immediate left to the person who faces D. Therefore, case 2 is eliminated.

  8. U sits second to the right of R.

  9. V sits to the right of S. Hence, the final arrangement is as follows

Since, two persons sit to the right of T.

Hence, the correct answer is two.

Question 26

Who among the following person sits opposite to the person who sits second to the left of the person who faces D?

  1. AOption (a)

    R

  2. BOption (b)

    Q

  3. COption (c)

    C

  4. DOption (d)

    B

  5. EOption (e)

    F

View answer & explanation

Correct answer

Answer: (c)C.

C

Why this answer is correct

Here persons on row 1 A, B, C, D, E, F, G faces North direction and persons on row 2 P, Q, R, S, T, U, V faces towards South direction.

  1. Only C sits adjacent to A.

  2. Three persons sit between A and the person who sits opposite to T.  

  3. Neither E nor B sits at extreme end.

  4. E sits third to the right of B.

  5. Neither F nor D faces T or Q.

  6. Q sits adjacent to the person who sits opposite to G.

  7. P sits immediate left to the person who faces D. Therefore, case 2 is eliminated.

  8. U sits second to the right of R.

  9. V sits to the right of S. Hence, the final arrangement is as follows

Since, D faces U and R sits second to the left of U and R faces C.

Hence, the correct answer is C.

Question 27

How many such pairs of digits are there in the number "7436182593" each of which has as many digits between them in the number (both in forward and backward direction) as they have between them in the Number Series?

  1. AOption (a)

    Four

  2. BOption (b)

    Five

  3. COption (c)

    Seven

  4. DOption (d)

    Nine

  5. EOption (e)

    Eight

View answer & explanation

Correct answer

Answer: (e)E.

Eight

Why this answer is correct

Pairs in the Forward direction → 4 - 6, 3 - 9, 6 - 8, 4 - 8.

Pairs in the Backward direction → 3 - 5, 1 - 3, 1 - 4, 3 - 4.

Hence, there are eight such pairs.

Question 28

Directions

In the following question assuming the given statement to be true,find which of the conclusion among the given conclusions is/are definitely true and then give your answers accordingly.

Statement: K > V > S ≥ R ≥ L < M < H < E = C ≤ T ≤ G

Conclusions:

I. S > C

II. G > M

  1. AOption (a)

    Only conclusion I follows

  2. BOption (b)

    Neither conclusion I nor II follows

  3. COption (c)

    Only conclusion II follows

  4. DOption (d)

    Both conclusions I and II follow

  5. EOption (e)

    Either conclusion I or II follows

View answer & explanation

Correct answer

Answer: (c)C.

Only conclusion II follows

Why this answer is correct

Given Statement: K > V > S ≥ R ≥ L < M < H < E = C ≤ T ≤ V

Conclusions:

I. S > C → False (As  S ≥ R ≥ L < M < H < E = C, So relation cannot be determined between S and C. Hence, does not follow).

II. G > M → True (Hence, follows.).

Hence, Only conclusion II follows

Question 29

Directions

In the following question assuming the given statement to be true,find which of the conclusion among the given conclusions is/are definitely true and then give your answers accordingly.

Statements: A ≥ F, G > R, M < O, F > R, G ≤ S, T ≤ A, U ≥ L, M ≥ T  

Conclusions:

I. A > G

II. G ≤ A

  1. AOption (a)

    Only conclusion II follows

  2. BOption (b)

    Either conclusion I or II follows

  3. COption (c)

    Only conclusion I follows

  4. DOption (d)

    Neither conclusion I nor II follows

  5. EOption (e)

    Both conclusions I and II follow

View answer & explanation

Correct answer

Answer: (d)D.

Neither conclusion I nor II follows

Why this answer is correct

Given Statements: A ≥ F, G > R, M < O, F > R, G ≤ S, T ≤ A, U ≥ L, M ≥ T  

Conclusions:

I. A > G → False (As G > R < F ≤ A, So relation cannot be determined between the two. Hence, does not follow) 

II. G ≤ A → False (As G > R < F ≤ A, So relation cannot be determined between the two. Hence, does not follow) 

Hence, the correct answer is Neither conclusion I nor conclusion II follows.

Question 30

Directions

In the following question assuming the given statement to be true,find which of the conclusion among the given conclusions is/are definitely true and then give your answers accordingly.

Statement: G < Q < N ≤ V ≤ X = B < D > P ≥ W ≥ Y

Conclusions:

I. P > Q

II. Q  ≥ P

  1. AOption (a)

    Either conclusion I or II follows

  2. BOption (b)

    Only conclusion II follows

  3. COption (c)

    Both conclusions I and II follow

  4. DOption (d)

    Only conclusion I follows

  5. EOption (e)

    Neither conclusion I nor II follows

View answer & explanation

Correct answer

Answer: (a)A.

Either conclusion I or II follows

Why this answer is correct

Given Statement: G < Q < N ≤ V ≤ X = B < D > P ≥ W ≥ Y

Conclusions:

I. P > Q  → False (As Q < N ≤ V ≤ X = B < D > P, So relation cannot be determined between P and Q. hence, does not follow). 

II. Q  ≥ P → False (As Q < N ≤ V ≤ X = B < D > P, So relation cannot be determined between P and Q. hence, does not follow).  

Since, conclusion I and II are complementary to each other.

Therefore, either conclusion I or II follows.

Hence, the correct answer is either conclusion I or II follows.

Direction: Read the following information carefully and answer the questions based on given information.

Six persons C, H, M, Q, V and X went to visit a six different cities Aizawl, Chennai, Delhi, Jaipur, Pune and Srinagar on six different days of a week from Sunday to Friday but not necessarily in same order. Three persons went between the person who visits Jaipur and C. X did not go on Friday. Only two persons visit before Q. The one who goes to Srinagar goes on the day adjacent of C. Either X or M went to visit Chennai. C went one of the days after Q. The person who visits Srinagar went two days after the one who visits Delhi. Neither H nor X visits Jaipur. V went to visit a place on Monday. H went before M but not Aizawl. X and M do not go a Sunday and a Thursday respectively.

Question 31

Which of the following statement is incorrect?

A) V visits Delhi.

B) C visits Srinagar.

C) H went on Thursday.

  1. AOption (a)

    Only A

  2. BOption (b)

    Both A and B

  3. COption (c)

    None of these

  4. DOption (d)

    Only C

  5. EOption (e)

    All of these

View answer & explanation

Correct answer

Answer: (e)E.

All of these

Why this answer is correct

Here persons are C, H, M, Q, V and X; cities are Aizawl, Chennai, Delhi, Jaipur, Pune and Srinagar and days from Sunday to Friday.

  1. Three persons went between the person who visits Jaipur and C.

  2. Only two persons visit before Q.

  3. C went one of the days after Q.   

DaysCase – 1Case – 2
PersonsCityPersonsCity
SundayJaipur
MondayJaipur
TuesdayQQ
Wednesday
ThursdayC
FridayC

 

  1. V went to visit a place on Monday.

  2. The person who visits Srinagar went two days after the one who visits Delhi.

  3.  The one who goes to Srinagar goes on the day adjacent of C.

DaysCase – 1(a)Case – 1(b)Case – 2
PersonsCityPersonsCityPersonsCity
SundayJaipurJaipur
MondayVDelhiVDelhiVJaipur
TuesdayQQQDelhi
WednesdaySrinagarDelhi
ThursdayCCSrinagar
FridaySrinagarC

 

  1. Neither H nor X visits Jaipur.

  2. Either X or M went to visit Chennai. Therefore, case 1(b) is eliminated.

  3. X did not go on Friday. Therefore, case 1(a) is eliminated.

  4. H went before M but not Aizawl. Hence, the final arrangement is as follows

DaysPersonsCity
SundayHPune
MondayVJaipur
TuesdayQDelhi
WednesdayMChennai
ThursdayXSrinagar
FridayCAizawl

 

Since, V visits Jaipur. Therefore, statement A is inocrrect.

C visits Aizawl. Therefore, statement B is incorrect.

H went on Monday. Therefore, statement C is incorrect.

Hence, the correct answer is All of these.

Question 32

Which of the following combination(s) is/are correct?

  1. AOption (a)

    H - Jaipur

  2. BOption (b)

    Q - Srinagar

  3. COption (c)

    C - Aizawl

  4. DOption (d)

    M - Pune

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (c)C.

C - Aizawl

Why this answer is correct

Here persons are C, H, M, Q, V and X; cities are Aizawl, Chennai, Delhi, Jaipur, Pune and Srinagar and days from Sunday to Friday.

  1. Three persons went between the person who visits Jaipur and C.

  2. Only two persons visit before Q.

  3. C went one of the days after Q.   

DaysCase – 1Case – 2
PersonsCityPersonsCity
SundayJaipur
MondayJaipur
TuesdayQQ
Wednesday
ThursdayC
FridayC

 

  1. V went to visit a place on Monday.

  2. The person who visits Srinagar went two days after the one who visits Delhi.

  3.  The one who goes to Srinagar goes on the day adjacent of C.

DaysCase – 1(a)Case – 1(b)Case – 2
PersonsCityPersonsCityPersonsCity
SundayJaipurJaipur
MondayVDelhiVDelhiVJaipur
TuesdayQQQDelhi
WednesdaySrinagarDelhi
ThursdayCCSrinagar
FridaySrinagarC

 

  1. Neither H nor X visits Jaipur.

  2. Either X or M went to visit Chennai. Therefore, case 1(b) is eliminated.

  3. X did not go on Friday. Therefore, case 1(a) is eliminated.

  4. H went before M but not Aizawl. Hence, the final arrangement is as follows

DaysPersonsCity
SundayHPune
MondayVJaipur
TuesdayQDelhi
WednesdayMChennai
ThursdayXSrinagar
FridayCAizawl

 

Hence, the correct combination is C - Aizawl.

Question 33

Which of the following statement(s) is/ are correct?

  1. AOption (a)

    V visited Pune.

  2. BOption (b)

    Q visited Srinagar.

  3. COption (c)

    M went on Sunday.

  4. DOption (d)

    Only two persons went between H and M.

  5. EOption (e)

    H went on Thursday.

View answer & explanation

Correct answer

Answer: (d)D.

Only two persons went between H and M.

Why this answer is correct

Here persons are C, H, M, Q, V and X; cities are Aizawl, Chennai, Delhi, Jaipur, Pune and Srinagar and days from Sunday to Friday.

  1. Three persons went between the person who visits Jaipur and C.

  2. Only two persons visit before Q.

  3. C went one of the days after Q.   

DaysCase – 1Case – 2
PersonsCityPersonsCity
SundayJaipur
MondayJaipur
TuesdayQQ
Wednesday
ThursdayC
FridayC

 

  1. V went to visit a place on Monday.

  2. The person who visits Srinagar went two days after the one who visits Delhi.

6) The one who goes to Srinagar goes on the day adjacent of C.

DaysCase – 1(a)Case – 1(b)Case – 2
PersonsCityPersonsCityPersonsCity
SundayJaipurJaipur
MondayVDelhiVDelhiVJaipur
TuesdayQQQDelhi
WednesdaySrinagarDelhi
ThursdayCCSrinagar
FridaySrinagarC

 

  1. Neither H nor X visits Jaipur.

  2. Either X or M went to visits Chennai. Therefore, case 1(b) is eliminated.

  3. X did not go on Friday. Therefore, case 1(a) is eliminated.

  4. H went before M but not Aizawl. Hence, the final arrangement is as follows

DaysPersonsCity
SundayHPune
MondayVJaipur
TuesdayQDelhi
WednesdayMChennai
ThursdayXSrinagar
FridayCAizawl

 

Hence, the correct statement is Only two persons went between H and M.

Question 34

Which city visited by the person who went on Thursday?

  1. AOption (a)

    Aizawl

  2. BOption (b)

    Chennai

  3. COption (c)

    Delhi

  4. DOption (d)

    Srinagar

  5. EOption (e)

    Pune

View answer & explanation

Correct answer

Answer: (d)D.

Srinagar

Why this answer is correct

Here persons are C, H, M, Q, V and X; cities are Aizawl, Chennai, Delhi, Jaipur, Pune and Srinagar and days from Sunday to Friday.

  1. Three persons went between the person who visits Jaipur and C.

  2. Only two persons visit before Q.

  3. C went one of the days after Q.   

DaysCase – 1Case – 2
PersonsCityPersonsCity
SundayJaipur
MondayJaipur
TuesdayQQ
Wednesday
ThursdayC
FridayC

 

  1. V went to visit a place on Monday.

  2. The person who visits Srinagar went two days after the one who visits Delhi.

  3. The one who goes to Srinagar goes on the day adjacent of C.

DaysCase – 1(a)Case – 1(b)Case – 2
PersonsCityPersonsCityPersonsCity
SundayJaipurJaipur
MondayVDelhiVDelhiVJaipur
TuesdayQQQDelhi
WednesdaySrinagarDelhi
ThursdayCCSrinagar
FridaySrinagarC

 

  1. Neither H nor X visits Jaipur.

  2. Either X or M went to visit Chennai. Therefore, case 1(b) is eliminated.

  3. X did not go on Friday. Therefore, case 1(a) is eliminated.

  4. H went before M but not Aizawl. Hence, the final arrangement is as follows

DaysPersonsCity
SundayHPune
MondayVJaipur
TuesdayQDelhi
WednesdayMChennai
ThursdayXSrinagar
FridayCAizawl

 

Since, on Thursday X visited Srinagar.

Hence, the correct answer is Srinagar.

Question 35

Who among the following person visits Delhi?

  1. AOption (a)

    H

  2. BOption (b)

    V

  3. COption (c)

    Q

  4. DOption (d)

    M

  5. EOption (e)

    C

View answer & explanation

Correct answer

Answer: (c)C.

Q

Why this answer is correct

Here persons are C, H, M, Q, V and X; cities are Aizawl, Chennai, Delhi, Jaipur, Pune and Srinagar and days from Sunday to Friday.

  1. Three persons went between the person who visits Jaipur and C.

  2. Only two persons visit before Q.

  3. C went one of the days after Q.   

DaysCase – 1Case – 2
PersonsCityPersonsCity
SundayJaipur
MondayJaipur
TuesdayQQ
Wednesday
ThursdayC
FridayC

 

  1. V went to visit a place on Monday.

  2. The person who visits Srinagar went two days after the one who visits Delhi.

  3. The one who goes to Srinagar goes on the day adjacent of C.

DaysCase – 1(a)Case – 1(b)Case – 2
PersonsCityPersonsCityPersonsCity
SundayJaipurJaipur
MondayVDelhiVDelhiVJaipur
TuesdayQQQDelhi
WednesdaySrinagarDelhi
ThursdayCCSrinagar
FridaySrinagarC

 

  1. Neither H nor X visits Jaipur.

  2. Either X or M went to visit Chennai. Therefore, case 1(b) is eliminated.

  3. X did not go on Friday. Therefore, case 1(a) is eliminated.

  4. H went before M but not Aizawl. Hence, the final arrangement is as follows

DaysPersonsCity
SundayHPune
MondayVJaipur
TuesdayQDelhi
WednesdayMChennai
ThursdayXSrinagar
FridayCAizawl

 

Hence, Q visits Delhi.

English Language (30 questions)

Question 36

Direction: The given sentence is divided into four parts: A, B, C, and D. Choose the part that contains an error as your answer. If the sentence is error-free, mark E i.e. No error as your answer.

Some have suggested that Singapore, a country (A)/ with similarly tax rates and a business-friendly (B)/ environment, is the natural (C)/ successor to Hong Kong. (D)/ No error (E)

  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: (b)B.

B

Why this answer is correct

The correct answer is "Option 2".

Key Points

  • The erroneous part is the use of "similarly".
  • The sentence is in the present tense and the subject of the sentence is "Singapore," which is a singular noun.
  • "Tax rates" is a noun and the word "similarly" is an adverb, but it's not correctly modifying the noun "tax rates" here.
  • So the adjective "similar" should be used to describe the tax rates in Singapore correctly.
  • Hence, "similar" should be used instead of "similarly".

Therefore, the correct answer is "Option 2".

Correct Sentence: "Some have suggested that Singapore, a country with similar tax rates and a business-friendly environment, is the natural successor to Hong Kong."

Additional Information

  • When comparing two things, the comparative form of an adjective is used. For Example, "similar" is the base form, while "more similar" or "less similar" are the comparative forms.
  • Example: The two houses have similar structures, but the second one is more similar to the one we saw last month.

Question 37

Direction: The given sentence is divided into four parts: A, B, C, and D. Choose the part that contains an error as your answer. If the sentence is error-free, mark E i.e. No error as your answer.

Our Head of the Department instructed (A)/ us that a series of lectures on Tagore (B)/ were to be arranged (C)/ the following week and so we should not create any nuisance.(D)/ No error (E)

  1. AOption (a)

    A

  2. BOption (b)

    E

  3. COption (c)

    C

  4. DOption (d)

    B

  5. EOption (e)

    D

View answer & explanation

Correct answer

Answer: (c)C.

C

Why this answer is correct

The correct answer is: 'Option 3'.

Key Points

  • The error lies in 'Part C' that is: 'were to be arranged'.
  • The given sentence has an error of the wrong usage of 'Verb'.
  • Here, the subject 'a series' is in 'Singular'. So, the verb will also be 'Singular'.
  • So, replacing 'were' with 'was' will make the sentence correct.

Therefore, the correct answer is: 'C'.

Correct sentence: Our Head of the Department instructed us that a series of lectures on Tagore was to be arranged the following week and so we should not create any nuisance.

Additional Information

  • 'Our Head of the Department instructed' is the correct part of the sentence.
  • 'us that a series of lectures on Tagore' is the correct part of the sentence.
  • 'the following week and so we should not create any nuisance' is the correct part of the sentence.

Question 38

Direction: The given sentence is divided into four parts: A, B, C, and D. Choose the part that contains an error as your answer. If the sentence is error-free, mark E i.e. No error as your answer.

Bharatpur is transforming into (A)/ India's most fastest growing bird sanctuary (B)/ attracting thousands of rare migratory birds (C)/ from other countries. (D)/ No error (E)

  1. AOption (a)

    B

  2. BOption (b)

    D

  3. COption (c)

    A

  4. DOption (d)

    E

  5. EOption (e)

    C

View answer & explanation

Correct answer

Answer: (a)A.

B

Why this answer is correct

The correct answer is: 'Option 1'.

Key Points

  • The error lies in 'Part B' that is: 'India's most fastest growing bird sanctuary'.
  • The given sentence has an error of 'Degrees of Adjective'.
  • The particular part of the sentence has an error of Double superlatives.
  • So, omitting 'most' from the part of the sentence will make the sentence correct.

Therefore, the correct answer is: 'B'.

Correct sentence: Bharatpur is transforming into India's  fastest growing bird sanctuary attracting thousands of rare migratory birds from other countries.

Additional Information

  • 'Bharatpur is transforming into' is the correct part of the sentence.
  • 'attracting thousands of rare migratory birds' is the correct part of the sentence.
  • 'from other countries' is the correct part of the sentence.

Question 39

Direction: The given sentence is divided into four parts; A, B, C and D. Choose the part contains an error as you answer. If the sentence is error-free, mark E i.e. No error as your answer.

The interest rates (A) / for savings accounts (B) / had been increased last month (C) / due to the central bank's decision. (D) / No error (E)

  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: (c)C.

C

Why this answer is correct

The correct answer is 'Option 3.'

Key Points

  • The error part lines in 'C' that is 'had been increased last month'.
  • The past perfect tense "had been increased" is unnecessary in this context because the action of increasing the interest rates is still relevant to the present moment.
  • The simple past tense "were increased" would be more appropriate to indicate that the increase in interest rates occurred last month and is still in effect.
  • Hence, the correct answer is 'were increased last month'

Therefore, the correct answer is 'Option 3.'

Correct sentence: The interest rates for savings accounts were increased last month due to the central bank's decision.

Additional Information

  • Option 1) A: Incorrect. Part A does not contain an error.
  • Option 2) B: Incorrect. Part B does not contain an error.
  • Option 4) D: Incorrect. Part D does not contain an error.

Question 40

Direction: The given sentence is divided into four parts: A, B, C, and D. Choose the part that contains an error as your answer. If the sentence is error-free, mark E i.e. No error as your answer.

<br>

She sings beautiful in (A)/ the choir every Sunday, (B)/ captivating the hearts of all (C)/ who listen to her melodious voice. (D)/ No error (E)

  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 'Option 1'.

Key Points

  • The error in the sentence is the incorrect use of the adverb "beautiful" instead of the adverb "beautifully."
  • In the original sentence, "beautiful" is used as an adverb to describe the action of singing.
  • However, "beautiful" is an adjective, not an adverb. The adverb form of "beautiful" is "beautifully."
  • Therefore, to correctly modify the verb "sings," the adverb "beautifully" should be used instead of "beautiful" to indicate how she sings.

Therefore, the correct answer is 'Option 1'.

Correct sentence: She sings beautifully in the choir every Sunday, captivating the hearts of all who listen to her melodious voice.

Additional Information

  • Option 2 is inappropriate as there is no error in it.
  • Option 3 is inappropriate as there is no error in it.
  • Option 4 is inappropriate as there is no error in it.

Question 41

Directions

Select the most appropriate word to fill in the blank.**

The politician's controversial statement _______ public opinion and sparked protests.

  1. AOption (a)

    suppressed

  2. BOption (b)

    angered

  3. COption (c)

    engraved

  4. DOption (d)

    inflamed

  5. EOption (e)

    settled

View answer & explanation

Correct answer

Answer: (d)D.

inflamed

Why this answer is correct

The correct answer is 'inflamed'.

Key Points

  • The given sentence talks about the politician's controversial statement that sparked protests.
  • Therefore, the most appropriate word for the given blank would be 'inflamed'.
  • 'Inflamed' describes a condition characterized by redness, swelling, or heightened emotions. (सूजा हुआ, भड़कानेवाला)
  • Example: The injured area became inflamed, causing pain and swelling.
  • Hence, the correct answer is 'Option 4'.

The complete sentence would be: The politician's controversial statement inflamed public opinion and sparked protests.

Additional InformationLet's understand the meaning of the other given options:

  • Suppressed: Kept under control or restrained; subdued or stifled. (दबाया हुआ, नियंत्रित)
  • Angered: Made angry or provoked; filled with resentment or displeasure. (क्रोधित, गुस्साया हुआ)
  • Engraved: Carved, etched, or incised with a design or inscription on a hard surface. (खुदाई किया हुआ, नक्काशी किया हुआ)
  • Settled: Resolved, established, or decided conclusively; firmly established in a place. (निश्चित, स्थायी)

Question 42

Directions

Select the most appropriate word to fill in the blank.**

The government's economic policies can be seen as an _______ to attract foreign investments.

  1. AOption (a)

    bolster

  2. BOption (b)

    aggression

  3. COption (c)

    deception

  4. DOption (d)

    abrogation

  5. EOption (e)

    overture

View answer & explanation

Correct answer

Answer: (e)E.

overture

Why this answer is correct

The correct answer is 'overture'.

Key Points

  • The given sentence talks about the government's economic policies to attract foreign investments.
  • Therefore, the most appropriate word for the given blank would be 'overture'.
  • 'Overture' refers to an introduction or opening move, often in the context of music, diplomacy, or literature. (प्रस्ताव, प्रारंभिक प्रस्ताव)
  • Example: The peace talks began with a diplomatic overture, signalling a willingness to negotiate.
  • Hence, the correct answer is 'Option 5'.

The complete sentence would be: The government's economic policies can be seen as an overture to attract foreign investments.

Additional InformationLet's understand the meaning of the other options:

  • Bolster: To support, strengthen, or reinforce; a long, narrow pillow or cushion. (सहारा देना, समर्थन करना)
  • Aggression: Hostile or violent behaviour or attitudes; the act of initiating an attack or confrontation. (प्रकोप, हमला)
  • Deception: The act of deceiving or misleading; the action of causing someone to believe something that is not true. (धोखा, छल)
  • Abrogation: The repeal or abolition of a law, rule, or agreement; the act of officially ending or canceling something. (समाप्ति, अधिनियमन का समाप्त होना)

Question 43

Directions

Each of the following sentences has a blank space and five words are given below. Click on the word you consider the most APPROPRIATE to fit the blank.

The effects of the _______ from the angry citizens left many people arrested for disturbing the peace.

  1. AOption (a)

    Contentment

  2. BOption (b)

    Ecstasy

  3. COption (c)

    Elation

  4. DOption (d)

    Ruckus

  5. EOption (e)

    Gratification

View answer & explanation

Correct answer

Answer: (d)D.

Ruckus

Why this answer is correct

The correct answer is 'Ruckus.'

Key Points

  • The given sentence says the effects of the fight or disturbance from the angry citizens left many people arrested for disturbing the peace.
  • Therefore, the most appropriate word to be filled in the blank is 'Ruckus'.
  • Also, the use of the word ''disturbing'' in the sentence indicates the use of the word 'ruckus' in the blank.
  • The word 'Ruckus' means A noisy fight or disturbance. (हंगामा) 
  • Example: Due to the ruckus in the motel room next door, it woke my whole family up.

Hence, the correct answer is option 4.

Complete Sentence: The effects of the ruckus from the angry citizens left many people arrested for disturbing the peace.

Additional Information

  • Let us explore the other options:
  • Contentment means A feeling of happiness and satisfaction. (मधुर संतुष्टि, संतोष)
  • Ecstasy means A feeling or state of great happiness. (आह्लाद और आनंद की भावना; हर्षोन्माद)
  • Elation means Great happiness and exhilaration. (अति प्रसन्‍नता, उल्‍लास, हर्ष)
  • Gratification means Pleasure, especially when gained from the satisfaction of a desire. (संतोष, आनंद)

Question 44

Directions

Each of the following sentences has a blank space and five words are given below. Click on the word you consider the most APPROPRIATE to fit the blank.

The public criticized the basketball team owner after he made _______ remarks about minorities.

  1. AOption (a)

    Mandatory

  2. BOption (b)

    Derogatory

  3. COption (c)

    Victory

  4. DOption (d)

    Possession

  5. EOption (e)

    Advisory

View answer & explanation

Correct answer

Answer: (b)B.

Derogatory

Why this answer is correct

The correct answer is 'Derogatory.'

Key Points

  • The given sentence talks about the public who criticized the basketball team owner after he made poor opinions or remarks about minorities.
  • Therefore, the most appropriate word to be filled in the blank is 'Derogatory'.
  • Also, the use of the word ''criticized'' in the sentence indicates the use of the word 'derogatory' in the blank.
  • The word 'Derogatory' means Conveying a poor opinion of something or someone. (प्रतिष्ठा रहित, अपमानजनक, अनादरपूर्ण)
  • Example: Once you finish insulting me with derogatory words, we can have a peaceful conversation.

Hence, the correct answer is option 2.

Complete Sentence: The public criticized the basketball team owner after he made derogatory remarks about minorities.

Additional Information

  • Let us explore the other options:
  • Mandatory means Required by a law or rule. (अनिवार्य)
  • Victory means Success in winning a battle, game, competition, etc. (युद्घ, खेल, स्‍पर्धा आदि में सफलता, विजय, जीत, फ़तह)
  • Possession means Something that someone owns or has with them at a particular time. (अधिकार)
  • Advisory means Giving advice only; not having the power to make decisions. (केवल सलाहकारी; निर्णय करने के अधिकार से वंचित)

Question 45

Directions

Each of the following sentences has a blank space and five words are given below. Click on the word you consider the most APPROPRIATE to fit the blank.

They wanted to _______ the entrance to the cave so that children would not venture inside.

  1. AOption (a)

    Predict

  2. BOption (b)

    Strict

  3. COption (c)

    Constrict

  4. DOption (d)

    Conflict

  5. EOption (e)

    Verdict

View answer & explanation

Correct answer

Answer: (c)C.

Constrict

Why this answer is correct

The correct answer is 'Constrict.'

Key Points

  • The given sentence is talking about some people who wanted to narrow or reduce the entrance to the cave so that children would not move inside.
  • Therefore, the most appropriate word to be filled in the blank is 'Constrict'.
  • Also, the use of the word ''entrance'' in the sentence indicates the use of the word 'constrict' in the blank.
  • The word 'Constrict' means To narrow or reduce. (छोटा करना)
  • Example: As we ventured further into the tunnel, the pathway appeared to constrict our movement.

Hence, the correct answer is option 3.

Complete Sentence: They wanted to constrict the entrance to the cave so that children would not venture inside.

Additional Information

  • Let us explore the other options:
  • Predict means To say that something will happen in the future. (भविष्‍यवाणी करना)
  • Strict means Not allowing people to break rules or behave badly. (सख्‍़त, कठोर)
  • Conflict means A fight or an argument. (झगड़ा, संघर्ष या विवाद)
  • Verdict means A decision that you make or an opinion that you give after testing something or considering something carefully. (परीक्षण या गंभीर सोच विचार के बाद किया गया या व्‍यक्त किया गया निर्णय; अभिमत)

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.

Greece, renowned for its rich historical heritage and breathtaking landscapes, continues to attract millions of tourists from around the globe. The tourism sector has always been a vital component of the Greek economy, providing substantial revenue and employment opportunities for its citizens. Recently, the Finance Minister announced that revenue from tourism has reached a record high. This unprecedented surge has driven the government to consider implementing new measures to capitalise on this growth In a recent interview, the Finance Minister elaborated on the current state of the tourism sector. "Tourism has always been the backbone of our economy, and this year, we have surpassed all previous records," he said. "To ensure sustainable growth and to maximise the benefits for our nation, we are contemplating an increase in the tourism tax. This decision, however, is met with mixed reactions. Some see it as a necessary step to bolster public finances and improve infrastructure, while others worry it may deter potential tourists. As the debate continues, one story from a small village __________ the transformative power of tourism on individual lives.

Alzara, known fondly as Alz, hails from a modest village tucked away in the mountainous regions of Greece. With limited local opportunities, she ventured into the private sector, finding work in a tourism-related business. Alz's journey from her village to a flourishing career in the private sector symbolises the broader opportunities tourism can provide to Greek citizens "I grew up in a village where opportunities were scarce," Alz reflects. "But with the rise in tourism, I found a job that not only supports me but also gives back to my community. Increased tourism has brought prosperity and hope to many families like mine. The Finance Minister's proposed measures aim to ensure that the growing tourism revenue further aids local communities and enhances the overall visitor experience. As Greece looks to the future, the balancing act between capitalising on tourism's success and maintaining its allure remains crucial The record growth in tourism revenue and stories like Alz's highlight the significant potential of this sector. With careful planning and strategic measures, Greece hopes to continue building on its success, making it a win-win situation for both the economy and its citizens.

Question 46

According to the passage, what announcement did the Finance Minister make regarding tourism?

  1. AOption (a)

    The government will reduce the tourism tax.

  2. BOption (b)

    Tourism revenue has reached a record high.

  3. COption (c)

    Tourism has contributed minimally to the Greek economy.

  4. DOption (d)

    Greece will stop promoting tourism.

  5. EOption (e)

    The government will ban all tourism-related businesses.

View answer & explanation

Correct answer

Answer: (b)B.

Tourism revenue has reached a record high.

Why this answer is correct

The correct answer is Option 2.

 

Key Points

  • The Finance Minister announced that tourism revenue has reached a record high.
  • This unprecedented surge has prompted the government to consider new measures to capitalise on the growth.
  • The announcement highlights the significance of tourism as a vital component of the Greek economy.

Therefore, the correct answer is Option 2.

 

Passage Excerpt: "Recently, the Finance Minister announced that revenue from tourism has reached a record high."

 

Additional Information

  • Option 1: Incorrect - The passage does not discuss reducing the tourism tax.
  • Option 3: Incorrect - The passage emphasizes the significant contribution of tourism to the Greek economy.
  • Option 4: Incorrect - The passage does not mention stopping the promotion of tourism.
  • Option 5: Incorrect - There is no mention of banning all tourism-related businesses in the passage.

Question 47

Which of the following is true about Alz's background?

  1. AOption (a)

    Alz grew up in a large city.

  2. BOption (b)

    Alz found her job in the tourism sector immediately after finishing school.

  3. COption (c)

    Alz hails from a village in the Greek mountains.

  4. DOption (d)

    Alz inherited a large fortune from her family.

  5. EOption (e)

    Alz had abundant local opportunities growing up.

View answer & explanation

Correct answer

Answer: (c)C.

Alz hails from a village in the Greek mountains.

Why this answer is correct

The correct answer is Option 3.

 

Key Points

  • The passage states that Alz hails from a modest village tucked away in the mountainous regions of Greece.
  • It highlights that she faced limited local opportunities, prompting her to venture into the private sector.
  • Alz's background reflects the broader opportunities tourism can provide to citizens in remote areas.

Therefore, the correct answer is Option 3.

 

Passage Excerpt: "Alzara, known fondly as Alz, hails from a modest village tucked away in the mountainous regions of Greece."

 

Additional Information

  • Option 1: Incorrect - The passage indicates she is from a modest village, not a large city.
  • Option 2: Incorrect - The passage does not specify when she found her job in the tourism sector.
  • Option 4: Incorrect - There is no mention of Alz inheriting a large fortune from her family.
  • Option 5: Incorrect - The passage explicitly states that opportunities were scarce in her village.

Question 48

Which of the following measures is the Greek government considering to capitalise on the growth in tourism?

  1. AOption (a)

    Reducing tourism taxes.

  2. BOption (b)

    Restricting foreign tourists.

  3. COption (c)

    Increasing the tourism tax.

  4. DOption (d)

    Banning private sector jobs in tourism.

  5. EOption (e)

    Offering free tours to all tourists.

View answer & explanation

Correct answer

Answer: (c)C.

Increasing the tourism tax.

Why this answer is correct

The correct answer is Option 3.

 

Key Points

  • The passage mentions that the Finance Minister is contemplating an increase in the tourism tax to maximise benefits for the nation.
  • The proposal aims at ensuring sustainable growth and improving infrastructure.
  • This measure has received mixed reactions, with some supporting it to bolster public finances.

Therefore, the correct answer is Option 3.

 

Passage Excerpt: "To ensure sustainable growth and to maximise the benefits for our nation, we are contemplating an increase in the tourism tax."

 

Additional Information

  • Option 1: Incorrect - The passage does not mention reducing tourism taxes.
  • Option 2: Incorrect - There is no mention of restricting foreign tourists in the passage.
  • Option 4: Incorrect - The passage does not suggest banning private sector jobs in tourism.
  • Option 5: Incorrect - Offering free tours to all tourists is not mentioned as a measure in the passage.

Question 49

According to the passage, what is one of the concerns about increasing the tourism tax?

  1. AOption (a)

    It could lead to a decrease in public finances.

  2. BOption (b)

    It might improve infrastructure too quickly.

  3. COption (c)

    Potential tourists might be deterred.

  4. DOption (d)

    It could lead to overpopulation in Greece's cities.

  5. EOption (e)

    It may cause unemployment in the tourism sector.

View answer & explanation

Correct answer

Answer: (c)C.

Potential tourists might be deterred.

Why this answer is correct

The correct answer is Option 3.

 

Key Points

  • The passage mentions that increasing the tourism tax could potentially deter tourists.
  • This concern highlights the balance that must be maintained to sustain growth while avoiding measures that could discourage visitors.

Therefore, the correct answer is Option 3.

 

Passage Excerpt: "To ensure sustainable growth and to maximise the benefits for our nation, we are contemplating an increase in the tourism tax...Some see it as a necessary step to bolster public finances and improve infrastructure, while others worry it may deter potential tourists."

 

Additional Information

  • Option 1: Incorrect - The passage does not mention a decrease in public finances as a concern about increasing the tourism tax.
  • Option 2: Incorrect - The passage does not mention that the infrastructure might improve too quickly.
  • Option 4: Incorrect - There is no mention of overpopulation in Greece's cities due to the tourism tax.
  • Option 5: Incorrect - The passage does not suggest that it may cause unemployment in the tourism sector.

Question 50

According to the passage, which of the given statements is correct?

A) Tourism is a minor component of the Greek economy.

B) The Finance Minister believes tourism has always been the backbone of the economy.

C) There has been a decline in tourism revenue recently.

  1. AOption (a)

    Only A

  2. BOption (b)

    Only B

  3. COption (c)

    Only C

  4. DOption (d)

    A and B

  5. EOption (e)

    B 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: Tourism is a minor component of the Greek economy.
  • This statement is incorrect as the passage clearly states that tourism is a vital component of the Greek economy.
  • Statement B: The Finance Minister believes tourism has always been the backbone of the economy.
  • This statement is correct as the passage quotes the Finance Minister stating that tourism has always been the backbone of the economy.
  • Statement C: There has been a decline in tourism revenue recently.
  • This statement is incorrect as the passage mentions that tourism revenue has reached a record high, not that there has been a decline.

Therefore, the correct answer is: ‘Only B’.

Question 51

According to the passage, which of the given statements is incorrect?

A) Alz grew up in a village with abundant local opportunities.

B) The government is contemplating an increase in the tourism tax.

C) Greece has surpassed all previous records in tourism revenue.

  1. AOption (a)

    Only A

  2. BOption (b)

    Only B

  3. COption (c)

    Only C

  4. DOption (d)

    A and B

  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: Alz grew up in a village with abundant local opportunities.
  • This statement is incorrect as the passage mentions that Alz grew up in a village with scarce opportunities.
  • Statement B: The government is contemplating an increase in the tourism tax.
  • This statement is correct as the passage states that the government is considering an increase in the tourism tax to ensure sustainable growth.
  • Statement C: Greece has surpassed all previous records in tourism revenue.
  • This statement is correct as the passage mentions that Greece has surpassed all previous records in tourism revenue.

Therefore, the correct answer is: ‘Only A’.

Question 52

What will fit in the blank taken from the passage: "As the debate continues, one story from a small village __________ the transformative power of tourism on individual lives."

  1. AOption (a)

    exacerbates

  2. BOption (b)

    eliminates

  3. COption (c)

    highlights

  4. DOption (d)

    neglects

  5. EOption (e)

    obfuscates

View answer & explanation

Correct answer

Answer: (c)C.

highlights

Why this answer is correct

The correct answer is 'highlights'.

 

Key Points

  • The word "highlights" means to emphasize or make prominent.
  • In the context of the passage, the story of Alz underscores the positive impact of tourism on individuals' lives.
  • The other options: "exacerbates," "eliminates," "neglects," and "obfuscates" do not fit the context appropriately.

Therefore, the correct answer is 'Option 3'.

Complete Sentence: As the debate continues, one story from a small village highlights the transformative power of tourism on individual lives.

Additional Information

  • Exacerbates (बिगाड़ना): means to make a problem or situation worse.
  • Eliminates (समाप्त करना): means to completely remove or get rid of something.
  • Neglects (अनदेखा करना): means to fail to care for or give proper attention to something.
  • Obfuscates (जटिल बनाना): means to render obscure, unclear, or unintelligible.

Question 53

Which of the following words is similar in meaning to "measure" in the context of the passage?

  1. AOption (a)

    permutation

  2. BOption (b)

    anthem

  3. COption (c)

    stratagem

  4. DOption (d)

    delimiter

  5. EOption (e)

    enigma

View answer & explanation

Correct answer

Answer: (c)C.

stratagem

Why this answer is correct

The correct answer is: Option 3 i.e., stratagem.

Key Points

  • The word "measure" means a plan or course of action taken to achieve a particular purpose (उपाय).
  • Example: The government introduced several measures to improve the country's economy.
  • "Stratagem" refers to a carefully planned way of achieving or dealing with something, often with the purpose of deceiving others (चाल).
  • Example: The general devised a cunning stratagem to outmanoeuvre the enemy forces.
  • Hence, in the context of the passage, "stratagem" can be seen as a synonym to "measure".

Therefore, the correct answer is: Option 3 i.e., stratagem.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

  • Permutation (परिवर्णी ): A way in which a set of things can be ordered or arranged.
  • Example: The permutation of candidates in the interview schedule was randomised.
  • Anthem (गान ): A rousing or uplifting song identified with a particular group or cause.
  • Example: The national anthem is sung at the beginning of the ceremony.
  • Delimiter (विभाजक ): A character that separates parts of data.
  • Example: Commas are often used as delimiters in CSV files.
  • Enigma (पहेली ): A person or thing that is mysterious or difficult to understand.
  • Example: The motives behind his actions remain an enigma.

Question 54

Which of the following words is similar in meaning to "record" in the context of the passage?

  1. AOption (a)

    precedent

  2. BOption (b)

    cancellation

  3. COption (c)

    delay

  4. DOption (d)

    hinderance

  5. EOption (e)

    limitation

View answer & explanation

Correct answer

Answer: (a)A.

precedent

Why this answer is correct

The correct answer is: Option 1 i.e., precedent.

Key Points

  • The word "record" in the context of the passage refers to an achievement that surpasses all previous levels of performance or an instance. (कीर्तिमान)
  • Example: The company set a new sales record last quarter.
  • "Precedent" refers to an earlier event or action that is regarded as an example or guide to be considered in subsequent similar circumstances. (पूर्व उदाहरण)
  • Example: The court's decision set a precedent for future cases of this nature.
  • Hence, in the context of the passage, "precedent" can be seen as a synonym to "record".

Therefore, the correct answer is: Option 1 i.e., precedent.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

  • Cancellation (रद्द): The action of cancelling something that has been arranged or planned.
  • Example: The cancellation of the flight caused many passengers to reschedule their plans.
  • Delay (विलंब): The period of time by which something is late or postponed.
  • Example: The project experienced a delay due to unforeseen circumstances.
  • Hinderance (बाधा): Something that provides resistance, delay, or obstruction to something or someone.
  • Example: The weather conditions proved to be a significant hindrance to the rescue operation.
  • Limitation (सीमा): A restriction or boundary.
  • Example: The limitation of resources made it difficult to complete the project.

Question 55

Direction: Evaluate the following word, accompanied by three sentences containing it. Determine the sentence(s) that accurately convey the meaning of the given word.

Twist

A. The plot of the novel had a surprising twist at the end.

B. She used a twist tie to secure the bag of bread.

C. He wore a colourful twist scarf around his neck.

  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:
  • Twist: a sudden change in direction or storyline; a device for closing or securing something by twisting.
  • Now, let's examine the given sentences:
  • Sentence A: The plot of the novel had a surprising twist at the end.
  • This sentence correctly uses the word "twist" to describe a sudden change in the storyline.
  • Sentence B: She used a twist tie to secure the bag of bread.
  • This sentence also correctly uses the word "twist" to describe a device for securing something by twisting.
  • Sentence C: He wore a colourful twist scarf around his neck.
  • This sentence incorrectly uses the word "twist" as it does not fit the common meanings of the word.
  • Therefore, sentences A and B correctly use the word "twist."

Therefore, the correct answer is "Both A & B."

Question 56

Direction: Evaluate the following word, accompanied by three sentences containing it. Determine the sentence(s) that accurately convey the meaning of the given word.

Intricate

A. The artist's intricate design on the vase was admired by everyone.

B. His explanation of the concept was too intricate for me to understand.

C. She wore an intricate dress that caught everyone's attention at the party.

  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:
  • Intricate: very complicated or detailed; having many interrelated parts or facets. (पेचीदा, जटिल)
  • Now, let's examine the given sentences:
  • Sentence A: The artist's intricate design on the vase was admired by everyone.
  • This sentence correctly uses the word "intricate" to describe a very detailed and complex design on the vase.
  • Sentence B: His explanation of the concept was too intricate for me to understand.
  • This sentence also correctly uses the word "intricate" to describe an explanation that is very complicated and difficult to understand.
  • Sentence C: She wore an intricate dress that caught everyone's attention at the party.
  • This sentence accurately uses the word "intricate" to describe a dress that is very detailed and complex, attracting attention.
  • All three sentences correctly use the word "intricate" to illustrate different contexts of complexity and detail.

Therefore, the correct answer is "All A, B, and C."

Question 57

A sentence/ a part of the sentence is underlined. Five alternatives are given to the underlined part which will improve the meaning of the sentence. Choose the correct alternative. In case no improvement is needed, click the option corresponding to ‘No improvement’. 

At the time of independence, Indian agriculture is a examples of everything that was wrong with the economy of an “underdeveloped” country.

  1. AOption (a)

    would an example

  2. BOption (b)

    No improvement

  3. COption (c)

    was an example

  4. DOption (d)

    are an example

  5. EOption (e)

    were an example

View answer & explanation

Correct answer

Answer: (c)C.

was an example

Why this answer is correct

The correct answer is 'was an example'.

Key Points

  • We need to first identify if the underlined part of the sentence has an error which would lead to its replacement by an appropriate phrase.
  • The underlined part of the sentence has three errors.
  1. Instead of the present tense helping verb 'is', we need to use the past tense helping verb 'was'. This is because the sentence talks about Indian agriculture in the past.
  2. We cannot use the indefinite article 'a' before a word starting with a vowel (example starts with the vowel 'e'). We need to use 'an'.
  3. Indian agriculture is a singular entity. It is incorrect to use the plural 'examples' for it.
  • Hence, 'was an example' is the correct replacement for the underlined phrase.
  • This makes option 3 the correct answer.

​

Confusion Points

  • Options 1 and 5 also use helping verbs in the past tense form (would, were).
  • 'Would' is the past tense form of 'will' and is used to talk about hypotheses (when we imagine something). I would like to visit Paris next year./She would have definitely failed in her task.
  • 'Were' is used with plural objects.

​​

Additional Information

Grammar Rules Learnt: 

  1. For singular nouns, 'is' is the helping verb in present tense scenario, while 'was' is used in case of past tense.
  2. For words starting with a vowel, the indefinite article 'an' is used where needed.

Question 58

A sentence/ a part of the sentence is underlined. Five alternatives are given to the underlined part which will improve the meaning of the sentence. Choose the correct alternative. In case no improvement is needed, click the option corresponding to ‘No improvement’. 

India could not produce meagre food for its population in the past.

  1. AOption (a)

    enough food

  2. BOption (b)

    inadequate food

  3. COption (c)

    enough fodder

  4. DOption (d)

    No improvement

  5. EOption (e)

    deficient food

View answer & explanation

Correct answer

Answer: (a)A.

enough food

Why this answer is correct

The correct answer is 'enough food'.

Key Points

  • We need to first identify if the underlined part of the sentence has an error which would lead to its replacement by an appropriate phrase.
  • The underlined part of the sentence uses the adjective 'meagre' to describe the noun 'food'. This is incorrect as 'meagre' means (of something provided or available) lacking in quantity or quality.
  • Using this adjective changes the basic meaning of the sentence.
  • We need to use an adjective that would imply that India was unable to produce as much food as was required by its population in the past.
  • Hence, 'enough food' is the correct replacement for the underlined phrase as 'enough' means as much or as many of something as required.
  • This makes option 1 the correct answer.

​

Confusion Points

  • 'Food' and 'fodder' can be confused.
  • Food means any nutritious substance that people or animals eat or drink or that plants absorb in order to maintain life and growth.
  • Fodder means food, especially dried hay or straw, for cattle and other livestock.

Question 59

A sentence/ a part of the sentence is underlined. Five alternatives are given to the underlined part which will improve the meaning of the sentence. Choose the correct alternative. In case no improvement is needed, click the option corresponding to ‘No improvement’. 

Economic planning requires well preparedness to meet the challenge of a batter growth rate.

  1. AOption (a)

    a worse growth rate.

  2. BOption (b)

    a better growth rate

  3. COption (c)

    a best growth rate

  4. DOption (d)

    a well growth rate

  5. EOption (e)

    No improvement

View answer & explanation

Correct answer

Answer: (b)B.

a better growth rate

Why this answer is correct

The correct answer is 'a better growth rate'.

Key Points

  • We need to first identify if the underlined part of the sentence has an error which would lead to its replacement by an appropriate phrase.
  • The underlined part of the sentence uses the noun 'batter' which means a semi-liquid mixture of flour, egg, and milk or water, used for making pancakes or for coating food before frying. In context of the given sentence, this is incorrect.
  • The comparative adjective 'better' is the best fit word to describe 'growth rate'.
  • Hence, 'a better growth rate' is the correct replacement for the underlined phrase.
  • This makes option 2 the correct answer.

​

Confusion Points

  • 'Well' is often confused with the adjective 'good'. 'Well' is an adverb and modifies a verb. I did well on the test.
  • *'*Best' is also an adjective but it is the superlative form. The article 'the' is always used before a superlative form. Hence using 'a' makes option 3 grammatically incorrect.
  • 'Worse' means of poorer quality or lower standard and does not fit the context of the sentence.

​​

Additional Information

Grammar Rules Learnt: 

  • When we use a superlative adjective ('the shortest student') before the noun, we generally use it with 'the'.
  • 'Well' is an adverb. It is used to modify a verb. But it has an exception. 
  • It is used as an adjective when we refer to a person’s health or well-being. She asked about Rahul's illness, and I told her he is well now.

Question 60

A sentence/ a part of the sentence is underlined. Five alternatives are given to the underlined part which will improve the meaning of the sentence. Choose the correct alternative. In case no improvement is needed, click the option corresponding to ‘No improvement’. 

The dignity of public institutions depends on the practice of constitution ides.

  1. AOption (a)

    constitution ideals

  2. BOption (b)

    No improvement

  3. COption (c)

    constitutional ideals

  4. DOption (d)

    constitutional

  5. EOption (e)

    constitutionally ideals

View answer & explanation

Correct answer

Answer: (c)C.

constitutional ideals

Why this answer is correct

The correct answer is 'constitutional ideals'.

Key Points

  • We need to first identify if the underlined part of the sentence has an error which would lead to its replacement by an appropriate phrase.
  • The underlined part of the sentence is wrong as -
  1. 'ides' refer to (in the ancient Roman calendar) a day falling roughly in the middle of each month (the 15th day of March, May, July, and October, and the 13th of other months) from which other dates were calculated. Using this word is incorrect in context of the sentence.
  2. 'constitution' is a noun and cannot be used to describe another noun.
  • Hence, 'constitutional ideals' is the correct replacement for the underlined phrase. (Ideals mean a standard or principle to be aimed at. This fits the context of the sentence.)
  • This makes option 3 the correct answer.

​

Confusion Points

  • 'Constitution' is a noun. 'Constitutional' is an adjective. 'Constitutionally' is an adverb.

​​

Additional Information

Grammar Rules Learnt: 

  1. A noun cannot be modified by another noun or adverb. It needs an adjective.

Direction: The following sentences form a paragraph. The sentences are - A, B, C, D, E and F. Sentence A is fixed and its position cannot be changed. The rest of the sentences are not given in their proper order. Read the sentences and answer the following questions.

A. Recent research has revealed that alterations in mitochondrial function can contribute to a range of diseases.

B. Additionally, mitochondria are involved in other cell processes such as cell differentiation, cell signaling, and cell death

C. This discovery underscored the importance of understanding mitochondrial function in greater detail.

D. Mitochondria are known as the powerhouses of the cell, as they are responsible for producing the energy currency of the cell, ATP.

E. They possess their own DNA, which is distinct from the nuclear DNA found in the cell nucleus.

F. These organelles are also unique in that their dysfunction can lead to neurodegenerative diseases, metabolic syndromes, and cardiac disorders.

Question 61

Which sentence should be the SECOND sentence in the paragraph?

  1. AOption (a)

    C

  2. BOption (b)

    E

  3. COption (c)

    F

  4. DOption (d)

    D

  5. EOption (e)

    B

View answer & explanation

Correct answer

Answer: (a)A.

C

Why this answer is correct

The correct answer is Option 1.

 

Key Points

  • The paragraph centers on the importance of mitochondria and their role in cellular processes and diseases.
  • Sentence A is the first sentence as it introduces the topic of mitochondrial function:
  • "Recent research has revealed that alterations in mitochondrial function can contribute to a range of diseases."
  • Sentence C follows as it emphasizes the importance of the research discovery:
  • "This discovery underscored the importance of understanding mitochondrial function in greater detail."
  • Sentence D is the third sentence as it explains the fundamental role of mitochondria:
  • "Mitochondria are known as the powerhouses of the cell, as they are responsible for producing the energy currency of the cell, ATP."
  • Sentence E is the fourth because it gives information about the unique nature of mitochondria:
  • "They possess their own DNA, which is distinct from the nuclear DNA found in the cell nucleus."
  • Sentence B is the fifth as it describes additional cellular processes involving mitochondria:
  • "Additionally, mitochondria are involved in other cell processes such as cell differentiation, cell signaling, and cell death."
  • Sentence F is the sixth as it highlights the consequences of mitochondrial dysfunction:
  • "These organelles are also unique in that their dysfunction can lead to neurodegenerative diseases, metabolic syndromes, and cardiac disorders."
  • The correct sequence is ACDEBF.

 

Coherent paragraph after rearrangement:

"Recent research has revealed that alterations in mitochondrial function can contribute to a range of diseases. This discovery underscored the importance of understanding mitochondrial function in greater detail. Mitochondria are known as the powerhouses of the cell, as they are responsible for producing the energy currency of the cell, ATP. They possess their own DNA, which is distinct from the nuclear DNA found in the cell nucleus. Additionally, mitochondria are involved in other cell processes such as cell differentiation, cell signaling, and cell death. These organelles are also unique in that their dysfunction can lead to neurodegenerative diseases, metabolic syndromes, and cardiac disorders."

Question 62

Which sentence should be the THIRD sentence in the paragraph?

  1. AOption (a)

    F

  2. BOption (b)

    E

  3. COption (c)

    B

  4. DOption (d)

    C

  5. EOption (e)

    D

View answer & explanation

Correct answer

Answer: (e)E.

D

Why this answer is correct

The correct answer is Option 5.

 

Key Points

  • The paragraph centers on the importance of mitochondria and their role in cellular processes and diseases.
  • Sentence A is the first sentence as it introduces the topic of mitochondrial function:
  • "Recent research has revealed that alterations in mitochondrial function can contribute to a range of diseases."
  • Sentence C follows as it emphasizes the importance of the research discovery:
  • "This discovery underscored the importance of understanding mitochondrial function in greater detail."
  • Sentence D is the third sentence as it explains the fundamental role of mitochondria:
  • "Mitochondria are known as the powerhouses of the cell, as they are responsible for producing the energy currency of the cell, ATP."
  • Sentence E is the fourth because it gives information about the unique nature of mitochondria:
  • "They possess their own DNA, which is distinct from the nuclear DNA found in the cell nucleus."
  • Sentence B is the fifth as it describes additional cellular processes involving mitochondria:
  • "Additionally, mitochondria are involved in other cell processes such as cell differentiation, cell signaling, and cell death."
  • Sentence F is the sixth as it highlights the consequences of mitochondrial dysfunction:
  • "These organelles are also unique in that their dysfunction can lead to neurodegenerative diseases, metabolic syndromes, and cardiac disorders."
  • The correct sequence is ACDEBF.

 

Coherent paragraph after rearrangement:

"Recent research has revealed that alterations in mitochondrial function can contribute to a range of diseases. This discovery underscored the importance of understanding mitochondrial function in greater detail. Mitochondria are known as the powerhouses of the cell, as they are responsible for producing the energy currency of the cell, ATP. They possess their own DNA, which is distinct from the nuclear DNA found in the cell nucleus. Additionally, mitochondria are involved in other cell processes such as cell differentiation, cell signaling, and cell death. These organelles are also unique in that their dysfunction can lead to neurodegenerative diseases, metabolic syndromes, and cardiac disorders."

Question 63

Which sentence should be the FOURTH sentence in the paragraph?

  1. AOption (a)

    B

  2. BOption (b)

    C

  3. COption (c)

    F

  4. DOption (d)

    E

  5. EOption (e)

    D

View answer & explanation

Correct answer

Answer: (d)D.

E

Why this answer is correct

The correct answer is Option 4.

 

Key Points

  • The paragraph centers on the importance of mitochondria and their role in cellular processes and diseases.
  • Sentence A is the first sentence as it introduces the topic of mitochondrial function:
  • "Recent research has revealed that alterations in mitochondrial function can contribute to a range of diseases."
  • Sentence C follows as it emphasizes the importance of the research discovery:
  • "This discovery underscored the importance of understanding mitochondrial function in greater detail."
  • Sentence D is the third sentence as it explains the fundamental role of mitochondria:
  • "Mitochondria are known as the powerhouses of the cell, as they are responsible for producing the energy currency of the cell, ATP."
  • Sentence E is the fourth because it gives information about the unique nature of mitochondria:
  • "They possess their own DNA, which is distinct from the nuclear DNA found in the cell nucleus."
  • Sentence B is the fifth as it describes additional cellular processes involving mitochondria:
  • "Additionally, mitochondria are involved in other cell processes such as cell differentiation, cell signaling, and cell death."
  • Sentence F is the sixth as it highlights the consequences of mitochondrial dysfunction:
  • "These organelles are also unique in that their dysfunction can lead to neurodegenerative diseases, metabolic syndromes, and cardiac disorders."
  • The correct sequence is ACDEBF.

 

Coherent paragraph after rearrangement:

"Recent research has revealed that alterations in mitochondrial function can contribute to a range of diseases. This discovery underscored the importance of understanding mitochondrial function in greater detail. Mitochondria are known as the powerhouses of the cell, as they are responsible for producing the energy currency of the cell, ATP. They possess their own DNA, which is distinct from the nuclear DNA found in the cell nucleus. Additionally, mitochondria are involved in other cell processes such as cell differentiation, cell signaling, and cell death. These organelles are also unique in that their dysfunction can lead to neurodegenerative diseases, metabolic syndromes, and cardiac disorders."

Question 64

Which sentence should be the FIFTH sentence in the paragraph?

  1. AOption (a)

    F

  2. BOption (b)

    B

  3. COption (c)

    C

  4. DOption (d)

    D

  5. EOption (e)

    E

View answer & explanation

Correct answer

Answer: (b)B.

B

Why this answer is correct

The correct answer is Option 2.

 

Key Points

  • The paragraph centers on the importance of mitochondria and their role in cellular processes and diseases.
  • Sentence A is the first sentence as it introduces the topic of mitochondrial function:
  • "Recent research has revealed that alterations in mitochondrial function can contribute to a range of diseases."
  • Sentence C follows as it emphasizes the importance of the research discovery:
  • "This discovery underscored the importance of understanding mitochondrial function in greater detail."
  • Sentence D is the third sentence as it explains the fundamental role of mitochondria:
  • "Mitochondria are known as the powerhouses of the cell, as they are responsible for producing the energy currency of the cell, ATP."
  • Sentence E is the fourth because it gives information about the unique nature of mitochondria:
  • "They possess their own DNA, which is distinct from the nuclear DNA found in the cell nucleus."
  • Sentence B is the fifth as it describes additional cellular processes involving mitochondria:
  • "Additionally, mitochondria are involved in other cell processes such as cell differentiation, cell signaling, and cell death."
  • Sentence F is the sixth as it highlights the consequences of mitochondrial dysfunction:
  • "These organelles are also unique in that their dysfunction can lead to neurodegenerative diseases, metabolic syndromes, and cardiac disorders."
  • The correct sequence is ACDEBF.

 

Coherent paragraph after rearrangement:

"Recent research has revealed that alterations in mitochondrial function can contribute to a range of diseases. This discovery underscored the importance of understanding mitochondrial function in greater detail. Mitochondria are known as the powerhouses of the cell, as they are responsible for producing the energy currency of the cell, ATP. They possess their own DNA, which is distinct from the nuclear DNA found in the cell nucleus. Additionally, mitochondria are involved in other cell processes such as cell differentiation, cell signaling, and cell death. These organelles are also unique in that their dysfunction can lead to neurodegenerative diseases, metabolic syndromes, and cardiac disorders."

Question 65

Which sentence should be the SIXTH sentence in the paragraph?

  1. AOption (a)

    E

  2. BOption (b)

    D

  3. COption (c)

    C

  4. DOption (d)

    B

  5. EOption (e)

    F

View answer & explanation

Correct answer

Answer: (e)E.

F

Why this answer is correct

The correct answer is Option 5.

 

Key Points

  • The paragraph centers on the importance of mitochondria and their role in cellular processes and diseases.
  • Sentence A is the first sentence as it introduces the topic of mitochondrial function:
  • "Recent research has revealed that alterations in mitochondrial function can contribute to a range of diseases."
  • Sentence C follows as it emphasizes the importance of the research discovery:
  • "This discovery underscored the importance of understanding mitochondrial function in greater detail."
  • Sentence D is the third sentence as it explains the fundamental role of mitochondria:
  • "Mitochondria are known as the powerhouses of the cell, as they are responsible for producing the energy currency of the cell, ATP."
  • Sentence E is the fourth because it gives information about the unique nature of mitochondria:
  • "They possess their own DNA, which is distinct from the nuclear DNA found in the cell nucleus."
  • Sentence B is the fifth as it describes additional cellular processes involving mitochondria:
  • "Additionally, mitochondria are involved in other cell processes such as cell differentiation, cell signaling, and cell death."
  • Sentence F is the sixth as it highlights the consequences of mitochondrial dysfunction:
  • "These organelles are also unique in that their dysfunction can lead to neurodegenerative diseases, metabolic syndromes, and cardiac disorders."
  • The correct sequence is ACDEBF.

 

Coherent paragraph after rearrangement:

"Recent research has revealed that alterations in mitochondrial function can contribute to a range of diseases. This discovery underscored the importance of understanding mitochondrial function in greater detail. Mitochondria are known as the powerhouses of the cell, as they are responsible for producing the energy currency of the cell, ATP. They possess their own DNA, which is distinct from the nuclear DNA found in the cell nucleus. Additionally, mitochondria are involved in other cell processes such as cell differentiation, cell signaling, and cell death. These organelles are also unique in that their dysfunction can lead to neurodegenerative diseases, metabolic syndromes, and cardiac disorders."

Quantitative Aptitude (35 questions)

Question 66

10 years ago, Age of Shagun's grandfather is 5 times the Shagun's age and after 5 years from now, age of Shagun's Grandfather will be 3 times the age of Shagun. Find the ratio and Shagun and her grandfather's age before 5 years.

  1. AOption (a)

    1 : 3

  2. BOption (b)

    2 : 5

  3. COption (c)

    1 : 4

  4. DOption (d)

    3 : 5

  5. EOption (e)

    1 : 5

View answer & explanation

Correct answer

Answer: (c)C.

1 : 4

Why this answer is correct

Shortcut Trick

Ratio of Grandfather : Shagun was 5 : 1 (10 years ago) and will be 3 : 1 (after 5 years).

Gap between ratios = 10 + 5 = 15 years.

Equating differences: (5−1) × 1 = 4; (3−1) × 2 = 4 ⇒ New ratios: 5 : 1 and 6 : 2.

Difference of 1 unit = 15 years. Current ages: (5×15)+10 = 85 and (1×15)+10 = 25.

5 years ago ages: 80 and 20 ⇒ Ratio = 20 : 80 = 1 : 4.

∴ The correct answer is 1 : 4.

Alternate Method

Let Shagun's age 10 years ago be x and Grandfather's age be 5x.

⇒ Present ages: Shagun = x + 10, Grandfather = 5x + 10.

⇒ After 5 years: Shagun = x + 15, Grandfather = 5x + 15.

⇒ According to question: 5x + 15 = 3 × (x + 15)

⇒ 5x + 15 = 3x + 45

⇒ 2x = 30 ⇒ x = 15.

⇒ 5 years ago, Shagun's age = (x + 10) − 5 = x + 5 = 15 + 5 = 20.

⇒ 5 years ago, Grandfather's age = (5x + 10) − 5 = 5x + 5 = 75 + 5 = 80.

⇒ Ratio = 20 : 80 = 1 : 4.

∴ The correct answer is 1 : 4.

Additional Information

Ratio Difference Method

When the time gap is the same for two people, the difference between their ages remains constant. Use this to balance ratios.

Age Linear Equations

Always define variables at a specific point in time (like 10 years ago) to simplify calculations.

The line graphs shows the marks of Aman and Raman in four different subjectes in class IX exams.

Question 67

What is the percentage difference between Aman’s average marks and Raman’s average marks in Class IX?

  1. AOption (a)

    7.14%

  2. BOption (b)

    2.22%

  3. COption (c)

    11.01%

  4. DOption (d)

    9%

  5. EOption (e)

    3.14%

View answer & explanation

Correct answer

Answer: (a)A.

7.14%

Why this answer is correct

Calculation

Aman’s total = 70 + 40 + 55 + 45 = 210

Raman’s total = 65 + 45 + 60 + 55 = 225

Aman’s average = 210 ÷ 4 = 52.5

Raman’s average = 225 ÷ 4 = 56.25

Percentage difference = [[56.25 − 52.5] /52.5 ] ×100

= [3.75/52.5] × 100 ≈ 7.14%

Question 68

Raman scored 45 marks in Class IX English. In Class X, he scored 30% more marks in Geography than what he scored in Class IX English. If total marks in Geography is 90, what is his percentage in Class X Geography?

  1. AOption (a)

    65%

  2. BOption (b)

    66%

  3. COption (c)

    88%

  4. DOption (d)

    42%

  5. EOption (e)

    445

View answer & explanation

Correct answer

Answer: (a)A.

65%

Why this answer is correct

Calculation

Class IX English = 45

Class X Geography = 45 × 1.30 = 58.5

Percentage = (58.5 / 90) × 100 = 65%

Question 69

Aman scored 20% more marks in each subject in Class X than he did in Class IX. Find Aman’s average marks in Class X.

  1. AOption (a)

    55

  2. BOption (b)

    63

  3. COption (c)

    57

  4. DOption (d)

    78

  5. EOption (e)

    69

View answer & explanation

Correct answer

Answer: (b)B.

63

Why this answer is correct

Calculations:

Math = 70 + 20% of 70 = 70 + 14 = 84

English = 40 + 20% of 40 = 40 + 8 = 48

Science = 55 + 20% of 55 = 55 + 11 = 66

History = 45 + 20% of 45 = 45 + 9 = 54

Total = 84 + 48 + 66 + 54 = 252

Average = 252 ÷ 4 = 63

∴ Aman’s average marks in Class X = 63

Question 70

The average marks of Aman and Raman in Class X History is 62. If Aman scored 66 marks, Find sum of marks did Raman score in history in class IX and X?

  1. AOption (a)

    113

  2. BOption (b)

    147

  3. COption (c)

    129

  4. DOption (d)

    327

  5. EOption (e)

    149

View answer & explanation

Correct answer

Answer: (a)A.

113

Why this answer is correct

Calculation

Let Raman’s marks = x

(66 + x) / 2 = 62 → 66 + x = 124 → x = 58

So, total 58 + 55 = 113

Question 71

Suman’s marks in Science in Class IX is 20% less than Aman’s marks in the same subject in Class IX. Ratio of science marks of Raman and Suman?

  1. AOption (a)

    15:11

  2. BOption (b)

    4:7

  3. COption (c)

    5:3

  4. DOption (d)

    19:17

  5. EOption (e)

    17:13

View answer & explanation

Correct answer

Answer: (a)A.

15:11

Why this answer is correct

Calculation

Suman’s marks = 55 – 20% of 55 = 55 – 11 = 44

so, ratio = 60 : 44 = 15 : 11

Question 72

A work can be completed by A and B in 8 days. They started work together and after 2 days of starting the work, A left the work then B complete the whole work with the help of C in 9 days. If B alone can complete the work in 24 days then find in how many days C alone can complete the work.

  1. AOption (a)

    18 days

  2. BOption (b)

    12 days

  3. COption (c)

    8 days

  4. DOption (d)

    24 days

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (d)D.

24 days

Why this answer is correct

Shortcut Trick

Let total work = 24 units (LCM of 8 and 24).

Efficiency of (A + B) = 24 ÷ 8 = 3 units/day.

Efficiency of B = 24 ÷ 24 = 1 unit/day.

Work done in first 2 days = 3 × 2 = 6 units. Remaining work = 24 − 6 = 18 units.

Efficiency of (B + C) = Remaining work ÷ 9 days = 18 ÷ 9 = 2 units/day.

Efficiency of C = (B + C) − B = 2 − 1 = 1 unit/day. Time for C = 24 ÷ 1 = 24 days.

∴ The correct answer is 24 days.

Alternate Method

Given: A + B can do work in 8 days. B alone can do it in 24 days. Combined work for 2 days, then B + C work for 9 days.

PersonDaysTotal WorkEfficiency
A + B8243
B241

⇒ Efficiency of A = Efficiency of (A + B) − Efficiency of B = 3 − 1 = 2 units/day.

⇒ Work completed by A and B in 2 days = 3 × 2 = 6 units.

⇒ Remaining work = 24 − 6 = 18 units.

⇒ Time taken by B and C to finish remaining work = 9 days.

⇒ Efficiency of (B + C) = 18 ÷ 9 = 2 units/day.

⇒ Efficiency of C = Efficiency of (B + C) − Efficiency of B = 2 − 1 = 1 unit/day.

⇒ Time taken by C alone = Total Work ÷ Efficiency of C = 24 ÷ 1 = 24 days.

∴ The correct answer is 24 days.

Additional Information

Efficiency and Time Relationship

Efficiency is inversely proportional to time taken. If a person finishes work in D days, their efficiency is 1/D per day.

Combined Work Formula

If A and B work together, their combined efficiency is the sum of their individual efficiencies: Etotal = EA + EB.

Total Work calculation

Total Work = Efficiency × Time. Using the LCM of given time periods is the most efficient way to assume total work.

Question 73

What should come in place of the question mark '?' in the following number series?

4, 5, 4, 9, ?, 52, 155

  1. AOption (a)

    19

  2. BOption (b)

    20

  3. COption (c)

    17

  4. DOption (d)

    18

  5. EOption (e)

    21

View answer & explanation

Correct answer

Answer: (c)C.

17

Why this answer is correct

Calculation∶

The series follows following pattern

4 × 1 + 1 = 5

5 × 1 - 1 = 4

4 × 2 + 1 = 9

9 × 2 - 1 = 17

17 × 3 + 1 = 52

52 × 3 - 1 = 155

∴ The value of ? is 17

Question 74

What should come in place of the question mark '?' in the following number series?

3, 25, 53, 75,103, ?

  1. AOption (a)

    123

  2. BOption (b)

    124

  3. COption (c)

    121

  4. DOption (d)

    122

  5. EOption (e)

    125

View answer & explanation

Correct answer

Answer: (e)E.

125

Why this answer is correct

Calculation∶

The series follows following pattern∶

25 – 3 = 22

53 – 25 = 28

75 – 53 = 22

103 – 75 = 28

103 + 22 = 125

∴ The value of ? is 125

Question 75

What will come in place of question mark (?) in the given series:

132,  139,  153,  174,  202,  ?,  279

  1. AOption (a)

    200

  2. BOption (b)

    170

  3. COption (c)

    260

  4. DOption (d)

    220

  5. EOption (e)

    237

View answer & explanation

Correct answer

Answer: (e)E.

237

Why this answer is correct

The series follows the following pattern:

132 + 7 = 139

139 + 14 = 153

153 + 21 = 174

174 + 28 = 202

202 + 35 = 237

237 + 42 = 279

∴ The missing term in the series is 237.

Question 76

What will come in place of question mark (?) in the following number series?

3, 7, 14, 27, 49, 83, ?

  1. AOption (a)

    132

  2. BOption (b)

    122

  3. COption (c)

    142

  4. DOption (d)

    112

  5. EOption (e)

    None of these

View answer & explanation

Correct answer

Answer: (a)A.

132

Why this answer is correct

Considering the above series,

3, 7, 14, 27, 49, 83, ?

The logic of the series can be explained as,

7 – 3 = 4

14 – 7 = 7

27 – 14 = 13

49 – 27 = 22

83 – 49 = 34

Taking double difference,

7 –  4 = 3

13 – 7 = 6

22 – 13 = 9

34 – 22 = 12

By observing the pattern of double difference,

Next double difference will be 15.

So, Next difference will be 34 + 15 = 49

⇒ ? – 83 = 49

⇒ ? = 83 + 49

⇒ ? = 132

∴ The value of ? is 132

Question 77

What should come in place of question mark ‘?’ in the following number series?

106, 212, 636, ?, 12720, 76320

  1. AOption (a)

    2744

  2. BOption (b)

    2444

  3. COption (c)

    2644

  4. DOption (d)

    2544

  5. EOption (e)

    2844

View answer & explanation

Correct answer

Answer: (d)D.

2544

Why this answer is correct

Given:

The number series:

106, 212, 636, ?, 12720, 76320

Concept Used:

Number series following a fixed pattern.

Calculation;

The given number series follows the pattern:

106 × 2 = 212

212 × 3 = 636

636 × 4 = 2544

2544 × 5 = 12720

12720 × 6 = 76320

∴ The Missing Number in the given number series is 2544

Question 78

Sunder deposits Rs 2000 on 1st January and Rs 2200 on 1st July of a year in a bank. Bank promised 10% of compounded interest half yearly basis. Find the amount sunder will get at the end of year.

  1. AOption (a)

    4510

  2. BOption (b)

    4520

  3. COption (c)

    4515

  4. DOption (d)

    4525

  5. EOption (e)

    4530

View answer & explanation

Correct answer

Answer: (c)C.

4515

Why this answer is correct

Shortcut Trick

Rate for half-year = 10% ÷ 2 = 5%.

First deposit (₹2000) earns interest for 2 half-years: 2000 × 1.05 × 1.05 = ₹2205.

Second deposit (₹2200) earns interest for 1 half-year: 2200 × 1.05 = ₹2310.

Total Amount = 2205 + 2310 = ₹4515.

∴ The correct answer is ₹4515.

Alternate Method

Given: First deposit P1 = ₹2000 on 1st Jan, Second deposit P2 = ₹2200 on 1st July, Annual Rate R = 10% compounded half-yearly.

Formula Used: Amount A = P(1 + r/100)n, where r is the rate per period and n is the number of periods.

⇒ Half-yearly rate (r) = 10% ÷ 2 = 5%.

⇒ Amount from 1st Jan deposit (for 2 periods) = 2000 × (1 + 5/100)2

⇒ A1 = 2000 × (1.05) × (1.05) = 2000 × 1.1025 = ₹2205.

⇒ Amount from 1st July deposit (for 1 period) = 2200 × (1 + 5/100)1

⇒ A2 = 2200 × 1.05 = ₹2310.

⇒ Total Amount = A1 + A2 = 2205 + 2310 = ₹4515.

∴ The correct answer is ₹4515.

Additional Information

Half-Yearly Compounding

In half-yearly compounding, the annual rate is divided by 2 and the time (number of years) is multiplied by 2.

Effective Rate of Interest

For an annual rate R compounded half-yearly, the effective annual rate is Reff = (1 + R/200)2 − 1.

Difference between SI and CI

For 2 periods (1 year compounded half-yearly), the difference is P × (r/100)2, where r is the half-yearly rate.

The table shows the number of male graduates, Percentage of female graduate more than male graduate, ratio of male graduate and male post graduate and Percentage of female post graduate less than female graduate of three years.

YearThe number of male graduatesPercentage of female graduate more than male graduateRatio of male graduate and male post graduatePercentage of female post graduate less than male Post graduate
202145030%5:410%
202236025%3:220%
202348020%6:530%

Question 79

Find the difference between difference of male and female students (considering both graduate and postgraduate) in 2021 and 2022?

  1. AOption (a)

    69

  2. BOption (b)

    57

  3. COption (c)

    55

  4. DOption (d)

    63

  5. EOption (e)

    61

View answer & explanation

Correct answer

Answer: (b)B.

57

Why this answer is correct

Common Calculation

For 2021, Number of male graduates is 450.

Number of female graduate is 450 × 130 /100 = 585

Number of Male post graduate is 450 × 4 / 5 = 360

Number of female post graduate is 360 × [90/100] = 324

Similarly, we can calculate the others year values also.

YearNumber of male graduatesNumber of female graduatesNumber of male post graduateNumber of female post graduate
2021450585360324
2022360450240192
2023480576400280

Calculation

2021:

Male = 450 + 360 = 810

Female = 585 + 324 = 909

Difference = |909 – 810| = 99

2022:

Male = 360 + 240 = 600

Female = 450 + 192 = 642

Difference = |642 – 600| = 42

Required difference is 99 – 42 = 57

Question 80

In which year was the percentage of female postgraduates out of the total postgraduates the highest?

  1. AOption (a)

    2021

  2. BOption (b)

    2022

  3. COption (c)

    2023

  4. DOption (d)

    Both 2023 and 2021

  5. EOption (e)

    Both 2021 and 2022

View answer & explanation

Correct answer

Answer: (a)A.

2021

Why this answer is correct

Common Calculation

For 2021, Number of male graduates is 450.

Number of female graduate is 450 × 130 /100 = 585

Number of Male post graduate is 450 × 4 / 5 = 360

Number of female post graduate is 360 × [90/100] = 324

Similarly, we can calculate the others year values also.

YearNumber of male graduatesNumber of female graduatesNumber of male post graduateNumber of female post graduate
2021450585360324
2022360450240192
2023480576400280

Calculation

2021:

Total PG = 360 + 324 = 684

% Female PG = (324 / 684) × 100 = 47.37%

2022:

Total PG = 240 + 192 = 432

% Female PG = (192 / 432) × 100 = 44.44%

2023:

Total PG = 400 + 280 = 680

% Female PG = (280 / 680) × 100 = 41.18%

✅ Answer: 2021

Question 81

What was the average number of total graduates (male + female) over the three years?

  1. AOption (a)

    967

  2. BOption (b)

    965

  3. COption (c)

    962

  4. DOption (d)

    987

  5. EOption (e)

    954

View answer & explanation

Correct answer

Answer: (a)A.

967

Why this answer is correct

Common Calculation

For 2021, Number of male graduates is 450.

Number of female graduate is 450 × 130 /100 = 585

Number of Male post graduate is 450 × 4 / 5 = 360

Number of female post graduate is 360 × [90/100] = 324

Similarly, we can calculate the others year values also.

YearNumber of male graduatesNumber of female graduatesNumber of male post graduateNumber of female post graduate
2021450585360324
2022360450240192
2023480576400280

Calculation

2021: 450 + 585 = 1035

2022: 360 + 450 = 810

2023: 480 + 576 = 1056

Total over 3 years = 1035 + 810 + 1056 = 2901

Average = 2901 / 3 = 967

Question 82

By what percentage did the total number of male students (graduate + postgraduate) increase from 2022 to 2023?

  1. AOption (a)

    46.67%

  2. BOption (b)

    50%

  3. COption (c)

    69%

  4. DOption (d)

    35%

  5. EOption (e)

    32%

View answer & explanation

Correct answer

Answer: (a)A.

46.67%

Why this answer is correct

Common Calculation

For 2021, Number of male graduates is 450.

Number of female graduate is 450 × 130 /100 = 585

Number of Male post graduate is 450 × 4 / 5 = 360

Number of female post graduate is 360 × [90/100] = 324

Similarly, we can calculate the others year values also.

YearNumber of male graduatesNumber of female graduatesNumber of male post graduateNumber of female post graduate
2021450585360324
2022360450240192
2023480576400280

Calculation

2022 Male = 360 + 240 = 600

2023 Male = 480 + 400 = 880

Increase = 880 – 600 = 280

% Increase = (280 / 600) × 100 = 46.67%

✅ Answer: 46.67%

Question 83

What is the ratio of the total number of postgraduates in 2021 to that in 2022?

  1. AOption (a)

    19 : 17

  2. BOption (b)

    19 : 13

  3. COption (c)

    19 : 12

  4. DOption (d)

    11 : 12

  5. EOption (e)

    13 : 12

View answer & explanation

Correct answer

Answer: (c)C.

19 : 12

Why this answer is correct

Common Calculation

For 2021, Number of male graduates is 450.

Number of female graduate is 450 × 130 /100 = 585

Number of Male post graduate is 450 × 4 / 5 = 360

Number of female post graduate is 360 × [90/100] = 324

Similarly, we can calculate the others year values also.

YearNumber of male graduatesNumber of female graduatesNumber of male post graduateNumber of female post graduate
2021450585360324
2022360450240192
2023480576400280

Calculation

2021 PG = 360 + 324 = 684

2022 PG = 240 + 192 = 432

Required Ratio = 684 : 432 = (171 : 108) = 19 : 12

Question 84

What is the ratio of the total number of female students (graduates + postgraduates) in 2021 and 2023 together to the total number of male students (graduates + postgraduates) in 2022?

  1. AOption (a)

    121 : 353

  2. BOption (b)

    353 : 120

  3. COption (c)

    157 : 141

  4. DOption (d)

    453 : 353

  5. EOption (e)

    120 : 451

View answer & explanation

Correct answer

Answer: (b)B.

353 : 120

Why this answer is correct

Solution:

Female total:

2021: Graduates = 585, Postgraduates = 324 → Total = 909

2023: Graduates = 576, Postgraduates = 280 → Total = 856

Total female (2021 + 2023) = 909 + 856 = 1765

Male total 2022:

Graduates = 360, Postgraduates = 240 → Total = 600

Required Ratio = 1765 : 600 = 353 : 120

Question 85

What approximate value should come in the place of question mark (?) in the following question?

54.98% of 199.98 + 79.99% of 249.98 = ? + 64.99% of 399.99

  1. AOption (a)

    20

  2. BOption (b)

    30

  3. COption (c)

    50

  4. DOption (d)

    70

  5. EOption (e)

    40

View answer & explanation

Correct answer

Answer: (c)C.

50

Why this answer is correct

Follow BODMAS rule to solve this question, as per the order given below.

Step - 1: Parts of an equation enclosed in 'Brackets' must be solved first, and following BODMAS rule in the bracket -

Step - 2: Any mathematical 'Of' or 'Exponent' must be solved next.

Step - 3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.

Step - 4: Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Since, we need to find out the approximate value, we can write these values to their nearest integers.

Given expression is

54.98% of 199.98 + 79.99% of 249.98 = ? + 64.99% of 399.99

⇒ 55% of 200 + 80% of 250 = ? + 65% of 400

⇒ 110 + 200 = ? + 260

⇒ 310 = ? + 260

∴ ? = 50

Question 86

What approximate value should come in the place of question mark (?) in the following question?

74.99 – 2.99 × [(5.992 ÷ 6.06)  ÷ 3.03] ÷ (1/2.99) + 12.99 = ?

  1. AOption (a)

    70

  2. BOption (b)

    60

  3. COption (c)

    80

  4. DOption (d)

    90

  5. EOption (e)

    110

View answer & explanation

Correct answer

Answer: (a)A.

70

Why this answer is correct

Follow BODMAS rule to solve this question, as per the order given below.

Step - 1: Parts of an equation enclosed in 'Brackets' must be solved first, and following BODMAS rule in the bracket -

Step - 2: Any mathematical 'Of' or 'Exponent' must be solved next.

Step - 3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.

Step - 4: Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Since, we need to find out the approximate value, we can write these values to their nearest integers.

Given expression is

? = 74.99 – 2.99 × [(5.992 ÷ 6.06)  ÷ 3.03] ÷ (1/2.99) + 12.99

⇒ 75 – 3 × [(62 ÷ 6) ÷ 3] ÷ (1/3) + 13

⇒ 75 – 3 × [(36/6 ÷ 3] ÷ (1/3) + 13

⇒ 75 – 3 × [(6/3] × 3 + 13

⇒ 75 – 3 × 2 × 3 + 13

⇒ 75 – 18 + 13

⇒ 70

Question 87

What approximate value should come in place of question mark (?) in the following question?

(19.99 × 44.99) – (69.98 × 3.13) + 359.98 = ? × 29.9

  1. AOption (a)

    25

  2. BOption (b)

    15

  3. COption (c)

    20

  4. DOption (d)

    35

  5. EOption (e)

    30

View answer & explanation

Correct answer

Answer: (d)D.

35

Why this answer is correct

Follow BODMAS rule to solve this question, as per the order given below.

Step - 1: Parts of an equation enclosed in 'Brackets' must be solved first, and following BODMAS rule in the bracket -

Step - 2: Any mathematical 'Of' or 'Exponent' must be solved next.

Step - 3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.

Step - 4: Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Since, we need to find out the approximate value, we can write these values to their nearest integers.

Given expression is

(19.99 × 44.99) – (69.98 × 3.13) + 359.98 = ? × 29.9

⇒ (20 × 45) – (70 × 3) + 360 = ? × 30

⇒ 900 – 210 + 360 = ? × 30

⇒ 1260 – 210 = ? × 30

⇒ 1050 = ? × 30

∴ ? = 35

Question 88

What approximate value should come in the place of the question mark (?) in the following question?

2/3 of 47.99 + [6.98 + {(-15.98) + 23.98} – 6.97] = ?

  1. AOption (a)

    30

  2. BOption (b)

    50

  3. COption (c)

    20

  4. DOption (d)

    80

  5. EOption (e)

    40

View answer & explanation

Correct answer

Answer: (e)E.

40

Why this answer is correct

Concept Used:

Follow BODMAS rule to solve this question, as per the order given below, 

​

Calculation:

2/3 of 47.99 + [6.98 + {(-15.98) + 23.98} – 6.97] = ?

⇒ 2/3 of 48 + [7 + {(-16) + 24} – 7] = ?

⇒ 2/3 of 48 + [7 + 8 – 7] = ?

⇒ 2/3 × 48 + 8 = ?

⇒ 32 + 8 = ?

⇒ 40 = ?

∴ The value of ? is 40

Question 89

What approximate value will come in the place of the question mark ‘?’ in the following question?

61.033% of 12200 - 19.875% of 2209 + 3000 = 500 × ?

  1. AOption (a)

    18

  2. BOption (b)

    20

  3. COption (c)

    17

  4. DOption (d)

    15

  5. EOption (e)

    25

View answer & explanation

Correct answer

Answer: (b)B.

20

Why this answer is correct

CALCULATIONS:

Follow the BODMAS rule to solve this question, as per the order given below.

Step-1: Parts of an equation enclosed in 'Brackets' must be solved first, and following BODMAS rule in the bracket -

Step-2: Any mathematical 'Of' or 'Exponent' must be solved next.

Step-3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.

Step-4: Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Since, we need to find out the approximate value, we can write these values to their nearest integers.

∴ Given expression can be written as:

61% of 12200 - 20% of 2210 + 3000 = 500 × ?

⇒ 7442 - 442 + 3000 = 500 × ?

⇒ 7000 + 3000 = 500 × ?

⇒ 10000 = 500 × ?

⇒ 1000 / 500 = ?

⇒ 20 = ?

∴ ? = 20.

Question 90

A invests in Rs 2400 in scheme which offers simple interest at 18% per annum for 3 years and B invests Rs x in the same scheme at 12% per annum for 4 years if the ratio of the interest received by A to B is 6 : 5 the find the value of x ?

  1. AOption (a)

     2250

  2. BOption (b)

     2500

  3. COption (c)

     3000

  4. DOption (d)

     3200

  5. EOption (e)

     2750

View answer & explanation

Correct answer

Answer: (a)A.

 2250

Why this answer is correct

Shortcut Trick

Ratio of Interests = (PrincipalA × RateA × TimeA) : (PrincipalB × RateB × TimeB)

6 : 5 = (2400 × 18 × 3) : (x × 12 × 4)

6 / 5 = (2400 × 54) / (x × 48)

x = (2400 × 54 × 5) / (48 × 6) = 50 × 9 × 5 = 2250

∴ The correct answer is ₹2250.

Alternate Method

Given:

Principal for A (PA) = ₹2400, Rate (RA) = 18%, Time (TA) = 3 years

Principal for B (PB) = ₹x, Rate (RB) = 12%, Time (TB) = 4 years

Ratio of SIA : SIB = 6 : 5

Formula Used:

Simple Interest (SI) = (P × R × T) / 100

Calculations:

⇒ SIA = (2400 × 18 × 3) / 100 = 24 × 54 = ₹1296

⇒ Given SIA / SIB = 6 / 5

⇒ 1296 / SIB = 6 / 5

⇒ SIB = (1296 × 5) / 6 = 216 × 5 = ₹1080

⇒ SIB = (x × 12 × 4) / 100

⇒ 1080 = (x × 48) / 100

⇒ x = (1080 × 100) / 48

⇒ x = 22.5 × 100 = 2250

∴ The correct answer is ₹2250.

Additional Information

Simple Interest Properties

Simple interest is calculated only on the Principal amount. The interest remains constant for every year if the rate is unchanged.

Amount Formula

Total Amount (A) = Principal (P) + Simple Interest (SI). It can be expressed as A = P[1 + (R × T)/100].

Ratio Method for SI

When two different principals are invested, SI1/SI2 = (P1R1T1) / (P2R2T2). This allows direct comparison without calculating individual interests.

Question 91

If the ratio of the speed of the boat in still water to the speed of the stream is 7 ∶ 5. If the distance of 156 km is travelled downstream in one hour, then find the difference between the speed of the boat in still water and the speed of the stream?

  1. AOption (a)

    36 km/hr

  2. BOption (b)

    16 km/hr

  3. COption (c)

    26 km/hr

  4. DOption (d)

    14 km/hr

  5. EOption (e)

    27 km/hr

View answer & explanation

Correct answer

Answer: (c)C.

26 km/hr

Why this answer is correct

Shortcut Trick

Ratio of Speed of Boat (u) : Speed of Stream (v) = 7 : 5.

Downstream speed ratio = 7 + 5 = 12 units.

Actual downstream speed = 156 km / 1 hr = 156 km/hr.

12 units = 156 → 1 unit = 13 km/hr.

Difference (u − v) = 7 − 5 = 2 units = 2 × 13 = 26 km/hr.

∴ The correct answer is 26 km/hr.

Alternate Method

Given:

Ratio of Speed of Boat (u) to Speed of Stream (v) = 7 : 5

Let u = 7x and v = 5x

Formula Used:

Downstream Speed = Speed of Boat + Speed of Stream

Speed = Distance ÷ Time

Calculations:

⇒ Downstream Speed = 156 km ÷ 1 hr = 156 km/hr

⇒ 7x + 5x = 156

⇒ 12x = 156

⇒ x = 156 ÷ 12 = 13

⇒ Difference = 7x − 5x = 2x

⇒ Difference = 2 × 13 = 26 km/hr

∴ The correct answer is 26 km/hr.

Additional Information

Downstream and Upstream Speed

Downstream Speed (D) = u + v and Upstream Speed (U) = u − v, where u is boat speed in still water and v is stream speed.

Calculating Component Speeds

Speed of Boat in still water (u) = (D + U) ÷ 2 and Speed of Stream (v) = (D − U) ÷ 2.

Average Speed Formula

If a boat travels a certain distance downstream and returns the same distance upstream, Average Speed = (D × U) ÷ u.

Question 92

A container contains 60 liters of milk. Ramu a dishonest milkman decided to mix water in the mixture. From this container, 6 liters of milk was taken out and replaced by water. This process was further repeated two times. How much milk is left in the container in the end of the total replacements?

  1. AOption (a)

    43.74 litre

  2. BOption (b)

    42.60 litre

  3. COption (c)

    41.50 litre

  4. DOption (d)

    43 litre

  5. EOption (e)

    44 litre

View answer & explanation

Correct answer

Answer: (a)A.

43.74 litre

Why this answer is correct

Shortcut Trick

Remaining quantity of milk = Initial quantity × (1 − Replaced quantity ÷ Total capacity)n

Here, Initial quantity = 60 liters, Replaced quantity = 6 liters, and number of operations n = 3.

Ratio of remaining milk = (1 − 6 ÷ 60)3 = (9 ÷ 10)3 = 0.729

Remaining milk = 60 × 0.729 = 43.74 liters.

∴ The correct answer is 43.74 litre.

Alternate Method

Given:

Initial quantity of pure milk = 60 liters

Quantity of milk replaced in each cycle = 6 liters

Total number of operations (n) = 1 (initial) + 2 (further) = 3 times

Formula Used:

Remaining Milk = PV × (1 − x ÷ V)n

Where, PV = Initial volume of milk, x = Volume replaced in each step, V = Total volume of the container, n = Number of times the process is repeated.

Calculations:

⇒ Remaining Milk = 60 × (1 − 6 ÷ 60)3

⇒ Remaining Milk = 60 × (1 − 1 ÷ 10)3

⇒ Remaining Milk = 60 × (9 ÷ 10)3

⇒ Remaining Milk = 60 × (729 ÷ 1000)

⇒ Remaining Milk = 6 × 7.29

⇒ Remaining Milk = 43.74 liters

∴ The correct answer is 43.74 litre.

Additional Information

Repeated Dilution Formula

When a quantity x is withdrawn from a vessel containing V volume of liquid, and replaced by water, after n operations, the quantity of pure liquid remaining is V × (1 − x/V)n.

Ratio Method for Mixture Replacement

The multiplying factor in each step is (Total Volume − Replaced Volume) ÷ Total Volume. For multiple cycles, raise this fraction to the power of the number of operations.

Question 93

The curved surface area of cylinder is 88 sq.cm. The radius of cylinder is 8.6 less than the height of cylinder. The ratio between the radius of cylinder and radius of sphere is 2 : 3. Find the volume of sphere.

  1. AOption (a)

    32 cubic.cm

  2. BOption (b)

    39 cubic.cm

  3. COption (c)

    41 cubic.cm

  4. DOption (d)

    46 cubic.cm

  5. EOption (e)

    35 cubic.cm

View answer & explanation

Correct answer

Answer: (b)B.

39 cubic.cm

Why this answer is correct

Shortcut Trick

Given Curved Surface Area of cylinder = 2πrh = 88 cm2.

Let radius be r and height be r + 8.6. Then 2 × (22/7) × r × (r + 8.6) = 88 ⇒ r(r + 8.6) = 14.

By inspection, if r = 1.4, then 1.4 × (1.4 + 8.6) = 1.4 × 10 = 14 (Satisfied).

Radius of sphere = (3/2) × 1.4 = 2.1 cm. Volume = (4/3) × (22/7) × (2.1)3 = 38.808 ≈ 39 cm3.

∴ The correct answer is 39 cubic.cm.

Alternate Method

Given: CSA of cylinder = 88 cm2, Height (h) = r + 8.6, Ratio r : Rs = 2 : 3.

Formula Used: CSA = 2πrh, Volume of Sphere = (4/3)πR3.

⇒ 2 × (22/7) × r × (r + 8.6) = 88

⇒ (44/7) × (r2 + 8.6r) = 88

⇒ r2 + 8.6r = 14 ⇒ r2 + 8.6r − 14 = 0

⇒ Solving for r: r = 1.4 cm (taking positive root)

⇒ Radius of sphere (Rs) = (3/2) × 1.4 = 2.1 cm

⇒ Volume = (4/3) × (22/7) × 2.1 × 2.1 × 2.1

⇒ Volume = 4 × 22 × 0.1 × 4.41 ÷ 1 = 38.808 cm3

∴ The correct answer is 39 cubic.cm.

Additional Information

Surface Area and Volume of Sphere

Total Surface Area of sphere = 4πR2 and Volume = (4/3)πR3.

Properties of Cylinder

CSA = 2πrh, Total Surface Area (TSA) = 2πr(h + r), and Volume = πr2h.

Mensuration Unit Conversion

Always ensure units are consistent; 1 liter = 1000 cm3 and 1 m3 = 1,000,000 cm3.

Question 94

Given below are two quantities named A & B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers.

Quantity A: In a day P does twice as much work as Q does. If P takes 40 days less than the time Q takes to complete the work, then the number of days taken by them together to complete the work together:

Quantity B: Avinash can do a piece of work in 60 days. Rahul is 25% less efficient than Avinash. Then the number of days taken by both Avinash and Rahul to do the same piece of work.

  1. AOption (a)

    Quantity A > Quantity B

  2. BOption (b)

    Quantity A < Quantity B

  3. COption (c)

    Quantity A ≥ Quantity B

  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 Trick Quantity A: Efficiency ratio P : Q = 2 : 1 ⇒ Time ratio = 1 : 2. Difference 1 unit = 40 days. P = 40, Q = 80. Together = (40 × 80) ÷ (40 + 80) = 80/3 = 26.66 days. Quantity B: Efficiency ratio Avinash : Rahul = 100 : 75 = 4 : 3. Avinash takes 60 days. Total work = 4 × 60 = 240 units. Together = 240 ÷ (4 + 3) = 240/7 = 34.28 days. Comparing A (26.66) and B (34.28) ⇒ A < B. ∴ The correct answer is Quantity A < Quantity B. Alternate Method Quantity A: Given: Efficiency of P = 2 × Q. Let time taken by Q be x days, then P takes (x − 40) days. ⇒ Efficiency ∝ 1/Time ⇒ 2/1 = x / (x − 40) ⇒ 2x − 80 = x ⇒ x = 80 days (Q), P = 40 days. Person Days Total Work Efficiency P 40 80 2 Q 80 1 ⇒ Time taken together = 80 ÷ (2 + 1) = 80/3 = 26.66 days. Quantity B: Given: Avinash = 60 days. Rahul efficiency = 75% of Avinash. ⇒ If Avinash efficiency = 4, Rahul efficiency = 3. ⇒ Total Work = 60 × 4 = 240 units. ⇒ Time taken together = 240 ÷ (4 + 3) = 240/7 = 34.28 days. Comparison: 26.66 days < 34.28 days. ∴ The correct answer is Quantity A < Quantity B. Additional Information Efficiency and Time Relationship Efficiency is inversely proportional to the time taken to complete a task. If the ratio of efficiency is a:b, the ratio of time taken is b:a. Combined Work Formula For two people with individual times X and Y, the time taken together is (X × Y) ÷ (X + Y). Work and Wages Wages are distributed in the direct ratio of the work done by each person, which is equivalent to the ratio of their efficiencies when they work for the same duration.

Question 95

Directions

Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers.

Quantity A: What is the probability of picking first ball red, and after keeping it back, picking a second ball purple, from a bag containing 10 red, 10 purple and 5 black balls?

Quantity B: 0.06

  1. AOption (a)

    Quantity A > Quantity B

  2. BOption (b)

    Quantity A < Quantity B

  3. COption (c)

    Quantity A ≥ Quantity B

  4. DOption (d)

    Quantity A ≤ Quantity B

  5. EOption (e)

    Quantity A = Quantity B or No relation.

View answer & explanation

Correct answer

Answer: (a)A.

Quantity A > Quantity B

Why this answer is correct

Shortcut Trick Total balls = 10 + 10 + 5 = 25. Probability (Quantity A) = (Red / Total) × (Purple / Total) = (10 / 25) × (10 / 25). Calculation: (2 / 5) × (2 / 5) = 4 / 25 = 0.16. Quantity A (0.16) > Quantity B (0.06). ∴ The correct answer is Quantity A > Quantity B. Alternate Method Given: Number of Red balls = 10, Purple balls = 10, Black balls = 5. Total balls = 10 + 10 + 5 = 25.

Quantity A: The event is with replacement (ball is kept back). ⇒ P(Red) = 10 / 25 = 2 / 5. ⇒ P(Purple) = 10 / 25 = 2 / 5. ⇒ Total Probability = (2 / 5) × (2 / 5) = 4 / 25. ⇒ 4 / 25 = 0.16. Quantity B: ⇒ Value = 0.06. Comparison: ⇒ 0.16 > 0.06. ∴ The correct answer is Quantity A > Quantity B. Additional Information Independent Events (With Replacement) When an item is replaced, the probability of the second event remains unchanged by the first event: P(A ∩ B) = P(A) × P(B). Dependent Events (Without Replacement) If the ball was not replaced, the total sample space for the second draw would decrease to 24: P(A ∩ B) = P(A) × P(B|A). Probability Range The probability of any event always lies between 0 and 1 inclusive (0 ≤ P(E) ≤ 1).

Question 96

Given below are two quantities named A & B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers.

Find the distance covered.

Quantity A: A person saves 90 minutes when he increases his speed from 20 km/hr to 25 km/hr to cover a certain distance.

Quantity B: If a person covers at a speed of 80 km/hr for 2 hours, then find the distance covered by him.

  1. AOption (a)

    Quantity A > Quantity B

  2. BOption (b)

    Quantity A < Quantity B

  3. COption (c)

    Quantity A ≤ Quantity B

  4. DOption (d)

    Quantity A ≥ Quantity B

  5. EOption (e)

    Quantity A = Quantity B or No relation possible

View answer & explanation

Correct answer

Answer: (b)B.

Quantity A < Quantity B

Why this answer is correct

Shortcut TrickQuantity A: Distance = (S1 × S2) / (S2 − S1) × ΔTDistance = (20 × 25) / (25 − 20) × (90 / 60) = (500 / 5) × 1.5 = 100 × 1.5 = 150 km.Quantity B: Distance = Speed × Time = 80 × 2 = 160 km.Comparing: 150 km < 160 km ⇒ Quantity A < Quantity B.∴ The correct answer is Quantity A < Quantity B.Alternate MethodQuantity A:Given Speed 1 (S1) = 20 km/hr, Speed 2 (S2) = 25 km/hr, Time saved = 90 minutes = 1.5 hours.⇒ Let distance be D.⇒ D/20 − D/25 = 1.5⇒ (5D − 4D) / 100 = 1.5⇒ D / 100 = 1.5⇒ D = 150 km.Quantity B:Given Speed = 80 km/hr, Time = 2 hours.⇒ Distance = Speed × Time⇒ Distance = 80 × 2 = 160 km.⇒ 150 km (Quantity A) < 160 km (Quantity B).∴ The correct answer is Quantity A < Quantity B.Additional InformationSpeed-Time Inverse RelationshipFor a constant distance, speed is inversely proportional to time (S1/S2 = T2/T1). This is useful for solving ratio-based distance problems.Distance Formula for Speed ChangeWhen the difference in time (ΔT) is given for two different speeds covering the same distance: Distance = [Product of Speeds / Difference of Speeds] × ΔT.Average SpeedIf a person covers equal distances at speeds x and y, the average speed is (2xy) / (x + y).

Question 97

Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers.

Vishal sold an article to Pankaj. Find the profit earned by Vishal.

Quantity I: Vishal bought the article at Rs. 2000 and market it above 50% of the cost price. Discount given by Vishal was 20%

Quantity II: marked price of the article was Rs. 2800 and Vishal has given discount of 10% cost price of the article was Rs. 2100.

  1. AOption (a)

    Quantity I > Quantity II

  2. BOption (b)

    Quantity I ≥ Quantity II

  3. COption (c)

    Quantity I< Quantity II

  4. DOption (d)

    Quantity I ≤ Quantity II

  5. EOption (e)

    Quantity I = Quantity II or the relation cannot be established

View answer & explanation

Correct answer

Answer: (c)C.

Quantity I< Quantity II

Why this answer is correct

Shortcut Trick Quantity I: Profit % = [Markup % − Discount % − (Markup × Discount)/100] = [50 − 20 − (50 × 20)/100] = 20%. Profit = 20% of ₹2000 = ₹400. Quantity II: SP = MP − Discount = 2800 − (10% of 2800) = 2800 − 280 = ₹2520. Profit = SP − CP = 2520 − 2100 = ₹420. Comparing both: ₹400 < ₹420. ∴ The correct answer is Quantity I < Quantity II. Alternate Method

Quantity I: ⇒ Cost Price (CP) = ₹2000 ⇒ Marked Price (MP) = 2000 + 50% of 2000 = 2000 + 1000 = ₹3000 ⇒ Selling Price (SP) = 3000 − 20% of 3000 = 3000 − 600 = ₹2400 ⇒ Profit = 2400 − 2000 = ₹400 Quantity II: ⇒ Marked Price (MP) = ₹2800 ⇒ Discount = 10% of 2800 = ₹280 ⇒ Selling Price (SP) = 2800 − 280 = ₹2520 ⇒ Cost Price (CP) = ₹2100 ⇒ Profit = 2520 − 2100 = ₹420 Comparison: Quantity I (₹400) < Quantity II (₹420) ∴ The correct answer is Quantity I < Quantity II. Additional Information Marked Price and Discount MP is the price printed on the label. Discount is always calculated on MP: SP = MP × (100 − Discount%)/100. Profit and Markup Relation Profit % = Markup % − Discount % − (Markup % × Discount %)/100. This is useful for successive percentage calculations. Cost Price and Profit Profit = SP − CP. Profit % is always calculated on the CP unless otherwise stated: Profit % = (Profit/CP) × 100.

Question 98

Vani gave 16% of her pocket money to Saurabh. From the money Saurabh received, he spent 15% on buying books and 45% on buying a watch. After these two expenses, he has 3200 remaining. How much would Vani’s pocket money have been initially?

  1. AOption (a)

    Rs 50000

  2. BOption (b)

    Rs 40500

  3. COption (c)

    Rs 45000

  4. DOption (d)

    Rs 40000

  5. EOption (e)

    Rs 55000

View answer & explanation

Correct answer

Answer: (a)A.

Rs 50000

Why this answer is correct

Shortcut Trick

Let Vani’s pocket money be 100%.

Saurabh receives 16%.

Saurabh’s remaining % after spending (15% + 45% = 60%) is 40% of his share.

40% of 16% = 3200 ⇒ 6.4% = 3200.

100% = (3200 ÷ 6.4) × 100 = 50000.

∴ The correct answer is Rs 50000.

Alternate Method

Given:

Vani’s contribution to Saurabh = 16%

Saurabh’s expenses = 15% (Books) + 45% (Watch) = 60%

Saurabh’s savings = 100% − 60% = 40%

Remaining amount = Rs 3200

Calculations:

Let Vani’s initial pocket money be Rs X.

⇒ Amount received by Saurabh = 0.16 × X

⇒ Remaining amount with Saurabh = 40% of (0.16 × X)

⇒ 3200 = (40 ÷ 100) × 0.16 × X

⇒ 3200 = 0.40 × 0.16 × X

⇒ 3200 = 0.064 × X

⇒ X = 3200 ÷ 0.064

⇒ X = 50000

∴ The correct answer is Rs 50000.

Additional Information

Percentage Change

To find the original value when a percentage is given: Original = (Result ÷ Final Percentage) × 100.

Successive Percentage

When multiple percentages are applied to a base, use the multiplying factor: Final = Initial × f1 × f2.

Base Change

Always ensure the percentage is calculated on the correct base (e.g., Vani's total vs Saurabh's share).

Question 99

The sum of four numbers is 192. The ratio of the first number to the second number is 3 : 5 and the ratio of the third number to the fourth number is 5 : 3. If the fourth number is greater than the second number by 8, Then find the sum of the first and third number.

  1. AOption (a)

    98

  2. BOption (b)

    108

  3. COption (c)

    116

  4. DOption (d)

    112

  5. EOption (e)

    104

View answer & explanation

Correct answer

Answer: (e)E.

104

Why this answer is correct

Shortcut Trick

Let the numbers be 3x, 5x and 5y, 3y.

Given: 3y − 5x = 8 and 8x + 8y = 192 ⇒ x + y = 24.

Solving equations: x = 8, y = 16.

Sum of 1st and 3rd = 3x + 5y = 3(8) + 5(16) = 24 + 80 = 104.

∴ The correct answer is 104.

Alternate Method

Given: Sum = 192; Ratio A:B = 3:5; Ratio C:D = 5:3; D − B = 8.

Calculations:

⇒ Let 1st = 3x, 2nd = 5x, 3rd = 5y, 4th = 3y.

⇒ 3x + 5x + 5y + 3y = 192 ⇒ 8x + 8y = 192 ⇒ x + y = 24 ---(Eq. 1)

⇒ 3y − 5x = 8 ---(Eq. 2)

⇒ Multiply (Eq. 1) by 5: 5x + 5y = 120

⇒ Add this to (Eq. 2): (5x + 5y) + (3y − 5x) = 120 + 8

⇒ 8y = 128 ⇒ y = 16

⇒ x = 24 − 16 = 8

⇒ Sum of 1st and 3rd = 3x + 5y = 3(8) + 5(16) = 24 + 80 = 104.

∴ The correct answer is 104.

Additional Information

Ratio and Proportion

When multiple ratios are given for different pairs of numbers, use common variables (like x and y) to represent the actual values before solving linear equations.

Linear Equations

System of two variables can be solved using the Elimination Method or Substitution Method to find the values of unknowns.

Question 100

A and B invest Rs. 4000 and Rs. 5000 respectively in a business. A invest his capital for 10 years while B invest his capital for 12 years. If they decided that they give 25% of the total profit to charity and the rest amount divided in proportion to their investment. B’s share at the end is Rs. 450, Then find the total profit.

  1. AOption (a)

    Rs. 1200

  2. BOption (b)

    Rs. 1500

  3. COption (c)

    Rs. 1000

  4. DOption (d)

    Rs. 1800

  5. EOption (e)

    Rs. 2000

View answer & explanation

Correct answer

Answer: (c)C.

Rs. 1000

Why this answer is correct

Shortcut Trick

Ratio of Profit = (CapitalA × TimeA) : (CapitalB × TimeB)

Ratio = (4000 × 10) : (5000 × 12) = 40000 : 60000 = 2 : 3.

B's share is 3 units = Rs. 450 ⇒ 1 unit = Rs. 150.

Distributed profit (75%) = 2 + 3 = 5 units = 5 × 150 = Rs. 750.

Total profit (100%) = 750 × (100 ÷ 75) = Rs. 1000.

∴ The correct answer is Rs. 1000.

Alternate Method

Given: A's Investment = Rs. 4000, B's Investment = Rs. 5000, A's Time = 10 years, B's Time = 12 years, Charity = 25%, B's share = Rs. 450. Formulas: Profit Ratio = (C1 × T1) : (C2 × T2) | Total Profit = Distributed Profit ÷ (1 − Charity fraction).

⇒ Profit sharing ratio of A and B = (4000 × 10) : (5000 × 12) = 40 : 60 = 2 : 3. ⇒ Let the profit shared between them be Ps. ⇒ B's share = [3 ÷ (2 + 3)] × Ps = 450. ⇒ (3 ÷ 5) × Ps = 450 ⇒ Ps = 450 × (5 ÷ 3) = Rs. 750. ⇒ Since 25% went to charity, Ps represents 75% of the total profit. ⇒ 0.75 × Total Profit = 750. ⇒ Total Profit = 750 ÷ 0.75 = Rs. 1000.

∴ The correct answer is Rs. 1000.

Additional Information

Partnership Profit Distribution

In a partnership, profit is always distributed based on the product of investment and time duration. Profit Ratio = (I1T1) : (I2T2).

Active vs. Sleeping Partner

Sometimes a portion of profit is set aside for management or charity before the remaining is divided according to the investment ratio.

100 questions in the full paper