IBPS PO Prelims Memory Based Paper (Held On: 19 October 2024 Shift 1) (Previous Year Paper)

Seven persons Kriti, Lavanya, Mahesh, Narender, Pooja, Rajat, and Suman are sitting around a circular table.

Some of them are facing outside and some of them are facing inside the centre.

1. Rajat is sitting second to the left of Layanya. One person is sitting between Pooja and Rajat.

2. Three persons are sitting between Pooja and Kriti. Mahesh and Suman are immediately left of each other. Suman is not the immediate neighbor of Pooja.

3. Narender sits second to the right of Kriti. Rajat and Kriti face opposite directions. The immediate neighbor of Narender faces the same direction. Narender faces inside

4. No three persons facing the same direction sit together.

In Case 1, Narender, Rajat, Pooja, and Mahesh are facing the same direction. This contradicts the given condition. So, case 1 is eliminated.

The final arrangement is:

Hence, Rajat is sitting second to the left of the one sitting third to the left of Pooja.

Seven persons Kriti, Lavanya, Mahesh, Narender, Pooja, Rajat, and Suman are sitting around a circular table.

Some of them are facing outside and some of them are facing inside the centre.

1. Rajat is sitting second to the left of Layanya. One person is sitting between Pooja and Rajat.

2. Three persons are sitting between Pooja and Kriti. Mahesh and Suman are immediately left of each other. Suman is not the immediate neighbor of Pooja.

3. Narender sits second to the right of Kriti. Rajat and Kriti face opposite directions. The immediate neighbor of Narender faces the same direction. Narender faces inside

​

4. No three persons facing the same direction sit together.

In Case 1, Narender, Rajat, Pooja, and Mahesh are facing the same direction. This contradicts the given condition. So, case 1 is eliminated.

The final arrangement is:

Mahesh and Lavanya are the immediate neighbours of Suman.

Seven persons Kriti, Lavanya, Mahesh, Narender, Pooja, Rajat, and Suman are sitting around a circular table.

Some of them are facing outside and some of them are facing inside the centre.

1. Rajat is sitting second to the left of Layanya. One person is sitting between Pooja and Rajat.

2. Three persons are sitting between Pooja and Kriti. Mahesh and Suman are immediately left of each other. Suman is not the immediate neighbor of Pooja.

3. Narender sits second to the right of Kriti. Rajat and Kriti face opposite directions. The immediate neighbor of Narender faces the same direction. Narender faces inside

​

4. No three persons facing the same direction sit together.

In Case 1, Narender, Rajat, Pooja, and Mahesh are facing the same direction. This contradicts the given condition. So, case 1 is eliminated.

The final arrangement is:

Rajat is sitting between Kriti and Narender.

Seven persons Kriti, Lavanya, Mahesh, Narender, Pooja, Rajat, and Suman are sitting around a circular table.

Some of them are facing outside and some of them are facing inside the centre.

1. Rajat is sitting second to the left of Layanya. One person is sitting between Pooja and Rajat.

2. Three persons are sitting between Pooja and Kriti. Mahesh and Suman are immediately left of each other. Suman is not the immediate neighbor of Pooja.

3. Narender sits second to the right of Kriti. Rajat and Kriti face opposite directions. The immediate neighbor of Narender faces the same direction. Narender faces inside

​

4. No three persons facing the same direction sit together.

In Case 1, Narender, Rajat, Pooja, and Mahesh are facing the same direction. This contradicts the given condition. So, case 1 is eliminated.

The final arrangement is:

Three persons are facing inside.

Seven persons Kriti, Lavanya, Mahesh, Narender, Pooja, Rajat, and Suman are sitting around a circular table.

Some of them are facing outside and some of them are facing inside the centre.

1. Rajat is sitting second to the left of Layanya. One person is sitting between Pooja and Rajat.

2. Three persons are sitting between Pooja and Kriti. Mahesh and Suman are immediately left of each other. Suman is not the immediate neighbor of Pooja.

3. Narender sits second to the right of Kriti. Rajat and Kriti face opposite directions. The immediate neighbor of Narender faces the same direction. Narender faces inside

​

4. No three persons facing the same direction sit together.

In Case 1, Narender, Rajat, Pooja, and Mahesh are facing the same direction. This contradicts the given condition. So, case 1 is eliminated.

The final arrangement is:

Three persons are sitting between Pooja and Lavanya when counted to the right of Pooja

The pattern followed here is:

1. BEIN → B + 3 = E; E + 4 = I; I + 5 = N

2. LOSX → L + 3 = O; O + 4 = S; S + 5 = X

3. DGJN → D + 3 = G; G + 3 = J; J + 4 = N

4. HKOT → H + 3 = K; K + 4 = O; O + 5 = T

5. FIMR → F + 3 = I; I + 4 = M; M + 5 = R

Thus, DGJN does not fulfil the above condition. So, it is the odd one out from the given options.

The word is ‘UMBRELLA’.

The vowels are shifted to two places behind and the consonants are shifted two places ahead in the English alphabetical series. The alphabets thus formed are then arranged in a reverse order according to the English alphabetical series. Hence, we get-

The second letter from the left is T and the second letter from the right is D.

Hence, the correct combination of letters is TD.

Given:

Eight persons - F, G, H, I, J, K, L, and M

Eight years - 1951, 1960, 1965, 1971, 1975, 1982, 1987 and 1994

They were born on the same date i.e. on 1st February of these years.

Make all the age calculations as of 1st February 2023.

So, the ages of all the persons will be as follows -

Now,

1) F was aged twice as old as H. H's age can be 29 or 36 while F's age can be 58 or 72.

2. Two persons were younger than G but older than H. 

3) The number of persons older than I was twice as much as the number of persons older than L.

4) Nobody was born between I and M.

5) K was born after 1980. This is not possible in Case I so it gets eliminated.

The final arrangement is -

J was born in the year 1960.

Hence, the correct answer is 1960.

Given:

Eight persons - F, G, H, I, J, K, L, and M

Eight years - 1951, 1960, 1965, 1971, 1975, 1982, 1987 and 1994

They were born on the same date i.e. on 1st February of these years.

Make all the age calculations as of 1st February 2023.

So, the ages of all the persons will be as follows -

Now,

1) F was aged twice as old as H. H's age can be 29 or 36 while F's age can be 58 or 72.

2. Two persons were younger than G but older than H. 

3) The number of persons older than I was twice as much as the number of persons older than L.

4) Nobody was born between I and M.

5) K was born after 1980. This is not possible in Case I so it gets eliminated.

The final arrangement is -

K is the youngest among all.

Hence, the correct answer is K.

Given:

Eight persons - F, G, H, I, J, K, L, and M

Eight years - 1951, 1960, 1965, 1971, 1975, 1982, 1987 and 1994

They were born on the same date i.e. on 1st February of these years.

Make all the age calculations as of 1st February 2023.

So, the ages of all the persons will be as follows -

Now,

1) F was aged twice as old as H. H's age can be 29 or 36 while F's age can be 58 or 72.

2. Two persons were younger than G but older than H. 

3) The number of persons older than I was twice as much as the number of persons older than L.

4) Nobody was born between I and M.

5) K was born after 1980. This is not possible in Case I so it gets eliminated.

The final arrangement is -

One person was born between F and L.

Hence, the correct answer is One.

Given:

Eight persons - F, G, H, I, J, K, L, and M

Eight years - 1951, 1960, 1965, 1971, 1975, 1982, 1987 and 1994

They were born on the same date i.e. on 1st February of these years.

Make all the age calculations as of 1st February 2023.

So, the ages of all the persons will be as follows -

Now,

1) F was aged twice as old as H. H's age can be 29 or 36 while F's age can be 58 or 72.

2. Two persons were younger than G but older than H. 

3) The number of persons older than I was twice as much as the number of persons older than L.

4) Nobody was born between I and M.

5) K was born after 1980. This is not possible in Case I so it gets eliminated.

The final arrangement is -

Three persons were younger than I.

Hence, the correct answer is Three.

Given:

Eight persons - F, G, H, I, J, K, L, and M

Eight years - 1951, 1960, 1965, 1971, 1975, 1982, 1987 and 1994

They were born on the same date i.e. on 1st February of these years.

Make all the age calculations as of 1st February 2023.

So, the ages of all the persons will be as follows -

Now,

1) F was aged twice as old as H. H's age can be 29 or 36 while F's age can be 58 or 72.

2. Two persons were younger than G but older than H. 

3) The number of persons older than I was twice as much as the number of persons older than L.

4) Nobody was born between I and M.

5) K was born after 1980. This is not possible in Case I so it gets eliminated.

The final arrangement is -

Among the given options, only 'M - 1982' is correct.

Hence, the correct answer is M - 1982.

Given statement:

"black is cool color" is coded as "ku lo si ri"

"beige furniture is boring" is coded as "xo fi lo bo"

"some movie is black" is coded as "ko vi lo ku"

"some black is cool" is coded as "ko ku lo si"

We get:

is – lo

some - ko

black - ku

cool - si

The codes for ‘movie’, ' boring', and ‘color’ is determined by elimination, i.e. all the other codes in the sentence are determined:

movie - vi

color – ri

We can not clearly determine the codes for ‘beige’ and ‘furniture’:

beige – xo/fi/bo

furniture – xo/fi/bo

boring - xo/fi/bo

Hence, the code for 'cool' is si.

Given statement:

"black is cool color" is coded as "ku lo si ri"

"beige furniture is boring" is coded as "xo fi lo bo"

"some movie is black" is coded as "ko vi lo ku"

"some black is cool" is coded as "ko ku lo si"

We get:

is – lo

some - ko

black - ku

cool - si

The codes for ‘movie’, ' boring', and ‘color’ is determined by elimination, i.e. all the other codes in the sentence are determined:

movie - vi

color – ri

We can not clearly determine the codes for ‘beige’ and ‘furniture’:

beige – xo/fi/bo

furniture – xo/fi/bo

boring - xo/fi/bo

Hence, the code 'bo' can not be determined.

Given statement:

"black is cool color" is coded as "ku lo si ri"

"beige furniture is boring" is coded as "xo fi lo bo"

"some movie is black" is coded as "ko vi lo ku"

"some black is cool" is coded as "ko ku lo si"

We get:

is – lo

some - ko

black - ku

cool - si

The codes for ‘movie’, ' boring', and ‘color’ is determined by elimination, i.e. all the other codes in the sentence are determined:

movie - vi

color – ri

We can not clearly determine the codes for ‘beige’ and ‘furniture’:

beige – xo/fi/bo

furniture – xo/fi/bo

boring - xo/fi/bo

Since 'Not' is not given, we will go for a code that is not given in the information.

And we know, the codes for:

black - ku

is - lo

cool - si

Hence, the code for 'black is not cool' is ku lo ni si.

Given statement:

"black is cool color" is coded as "ku lo si ri"

"beige furniture is boring" is coded as "xo fi lo bo"

"some movie is black" is coded as "ko vi lo ku"

"some black is cool" is coded as "ko ku lo si"

We get:

is – lo

some - ko

black - ku

cool - si

The codes for ‘movie’, ' boring', and ‘color’ is determined by elimination, i.e. all the other codes in the sentence are determined:

movie - vi

color – ri

We can not clearly determine the codes for ‘beige’ and ‘furniture’:

beige – xo/fi/bo

furniture – xo/fi/bo

boring - xo/fi/bo

Hence, the code for 'movie' is vi.

Given statement:

"black is cool color" is coded as "ku lo si ri"

"beige furniture is boring" is coded as "xo fi lo bo"

"some movie is black" is coded as "ko vi lo ku"

"some black is cool" is coded as "ko ku lo si"

We get:

is – lo

some - ko

black - ku

cool - si

The codes for ‘movie’, ' boring', and ‘color’ is determined by elimination, i.e. all the other codes in the sentence are determined:

movie - vi

color – ri

We can not clearly determine the codes for ‘beige’ and ‘furniture’:

beige – xo/fi/bo

furniture – xo/fi/bo

boring - xo/fi/bo

Since the code for furniture is not defined.

Hence, the code for furniture will either be fi or xo.

Given:

Eight people – P, Q, R, S, T, W, X, and Z

1. S, the daughter of Q, is married to the son of T.
   

2. R is the son of X, who is married to T.
   

3. Z has two daughters.
   

4. Q is the grandfather of P.
   

5. T is the mother of two sons.
   

6. R is not married to S.

Combining it all together:

Hence, X is the father of Z.

Given:

Eight people – P, Q, R, S, T, W, X, and Z

1. S, the daughter of Q, is married to the son of T.
   

2. R is the son of X, who is married to T.
   

3. Z has two daughters.
   

4. Q is the grandfather of P.
   

5. T is the mother of two sons.
   

6. R is not married to S.

Combining it all together:

I. There are four females in the family - True

II. R and Q are both male - True

III. S is the mother of P - True

IV. T is the mother-in-law of S - True

Hence, the correct answer is Option 4.

Given:

Eight people – P, Q, R, S, T, W, X, and Z

1. S, the daughter of Q, is married to the son of T.
   

2. R is the son of X, who is married to T.
   

3. Z has two daughters.
   

4. Q is the grandfather of P.
   

5. T is the mother of two sons.
   

6. R is not married to S.

Combining it all together:

T only has sons.

Hence, the correct answer is Option 4.

Six Persons: A, B, C, D, M and O

1. C sits 3^rd from one of the end.

2. The number of persons sitting to the right of the one who is 12 years old is same as the number of persons sitting to the left of D

3. D sits to the immediate left of C.

4. C is not 12 years old.

4. Two persons sit between D and B, whose age is twice than D.

B is 12 years old.

B's age = 2 × D's age

D will be 6 years old.

5. O sits 2^nd to the right of the one who is 6 years old. The age of O is 18 years.

6. M sits to the right of A.

7. The one who is 36 years old sits 3^rd to the left of the one who is 15 years old.

So, C is 36 years old and M is 15 years old.

8. The age of A is sum of D and O. The age of O is 18 year.

A's age = D's age + O’s age

A = 18 + 6 = 24 years

A’s age is 24 years.

Six Persons: A, B, C, D, M and O

1. C sits 3^rd from one of the end.

2. The number of persons sitting to the right of the one who is 12 years old is same as the number of persons sitting to the left of D

3. D sits to the immediate left of C.

4. C is not 12 years old.

4. Two persons sit between D and B, whose age is twice than D.

B is 12 years old.

B's age = 2 × D's age

D will be 6 years old.

5. O sits 2^nd to the right of the one who is 6 years old. The age of O is 18 years.

6. M sits to the right of A.

7. The one who is 36 years old sits 3^rd to the left of the one who is 15 years old.

So, C is 36 years old and M is 15 years old.

8. The age of A is sum of D and O. The age of O is 18 year.

A's age = D's age + O’s age

A = 18 + 6 = 24 years

 M is second to the right of O.

Six Persons: A, B, C, D, M and O

1. C sits 3^rd from one of the end.

2. The number of persons sitting to the right of the one who is 12 years old is same as the number of persons sitting to the left of D

3. D sits to the immediate left of C.

4. C is not 12 years old.

4. Two persons sit between D and B, whose age is twice than D.

B is 12 years old.

B's age = 2 × D's age

D will be 6 years old.

5. O sits 2^nd to the right of the one who is 6 years old. The age of O is 18 years.

6. M sits to the right of A.

7. The one who is 36 years old sits 3^rd to the left of the one who is 15 years old.

So, C is 36 years old and M is 15 years old.

8. The age of A is sum of D and O. The age of O is 18 year.

A's age = D's age + O’s age

A = 18 + 6 = 24 years

Three people are sitting between A and B namely D, C and O.

Six Persons: A, B, C, D, M and O

1. C sits 3^rd from one of the end.

2. The number of persons sitting to the right of the one who is 12 years old is same as the number of persons sitting to the left of D

3. D sits to the immediate left of C.

4. C is not 12 years old.

4. Two persons sit between D and B, whose age is twice than D.

B is 12 years old.

B's age = 2 × D's age

D will be 6 years old.

5. O sits 2^nd to the right of the one who is 6 years old. The age of O is 18 years.

6. M sits to the right of A.

7. The one who is 36 years old sits 3^rd to the left of the one who is 15 years old.

So, C is 36 years old and M is 15 years old.

8. The age of A is sum of D and O. The age of O is 18 year.

A's age = D's age + O’s age

A = 18 + 6 = 24 years

 M is sitting on the extreme right end.

Six Persons: A, B, C, D, M and O

1. C sits 3^rd from one of the end.

2. The number of persons sitting to the right of the one who is 12 years old is same as the number of persons sitting to the left of D

3. D sits to the immediate left of C.

4. C is not 12 years old.

4. Two persons sit between D and B, whose age is twice than D.

B is 12 years old.

B's age = 2 × D's age

D will be 6 years old.

5. O sits 2^nd to the right of the one who is 6 years old. The age of O is 18 years.

6. M sits to the right of A.

7. The one who is 36 years old sits 3^rd to the left of the one who is 15 years old.

So, C is 36 years old and M is 15 years old.

8. The age of A is sum of D and O. The age of O is 18 year.

A's age = D's age + O’s age

A = 18 + 6 = 24 years

 C is 36 years old.

Given word: LABIALISE

The given word can be represented as follows,

Hence, we can see that 4 such pairs are there → Forward: LS, AB, AE; Backward: IL

So, the answer is 4 pairs.

Given word is: STEADFAST

The third, fifth, seventh and ninth letter is: E, D, A and T

A meaningful word from this is - DATE

Only one meaningful word can be formed.

Clearly, A is the second letter from the left.

Hence, the correct answer is "A".

Six boxes: A, B, C, D, E and F

Six items: Helmet, Medicines, Ropes, Safety Jackets, Torch lights and Water bottles

Boxes: (bottommost) 1 to 6 (topmost)

i) Box A contains Ropes and is placed on an even numbered position.

ii) Box containing Safety Jackets is kept at the position which is numbered as even prime number.

iii) Torch lights are placed in the topmost box.

iv) One box is placed between Box A and Box D.

v) Box C is kept at the bottommost position.

vi) Safety jackets are not kept in box D.

vii) Box E which contains Medicines is kept below the box which contains Water bottles.

viii) Box B does not contain Safety Jackets.

Hence, item Helmets is kept in Box C.

Six boxes: A, B, C, D, E and F

Six items: Helmet, Medicines, Ropes, Safety Jackets, Torch lights and Water bottles

Boxes: (bottommost) 1 to 6 (topmost)

i) Box A contains Ropes and is placed on an even numbered position.

ii) Box containing Safety Jackets is kept at the position which is numbered as even prime number.

iii) Torch lights are placed in the topmost box.

iv) One box is placed between Box A and Box D.

v) Box C is kept at the bottommost position.

vi) Safety jackets are not kept in box D.

vii) Box E which contains Medicines is kept below the box which contains Water bottles.

viii) Box B does not contain Safety Jackets.

Hence, two boxes are kept between the boxes which contains Water bottles and Safety Jackets.

Six boxes: A, B, C, D, E and F

Six items: Helmet, Medicines, Ropes, Safety Jackets, Torch lights and Water bottles

Boxes: (bottommost) 1 to 6 (topmost)

i) Box A contains Ropes and is placed on an even numbered position.

ii) Box containing Safety Jackets is kept at the position which is numbered as even prime number.

iii) Torch lights are placed in the topmost box.

iv) One box is placed between Box A and Box D.

v) Box C is kept at the bottommost position.

vi) Safety jackets are not kept in box D.

vii) Box E which contains Medicines is kept below the box which contains Water bottles.

viii) Box B does not contain Safety Jackets.

Hence, one box is kept between box B and box E.

Six boxes: A, B, C, D, E and F

Six items: Helmet, Medicines, Ropes, Safety Jackets, Torch lights and Water bottles

Boxes: (bottommost) 1 to 6 (topmost)

i) Box A contains Ropes and is placed on an even numbered position.

ii) Box containing Safety Jackets is kept at the position which is numbered as even prime number.

iii) Torch lights are placed in the topmost box.

iv) One box is placed between Box A and Box D.

v) Box C is kept at the bottommost position.

vi) Safety jackets are not kept in box D.

vii) Box E which contains Medicines is kept below the box which contains Water bottles.

viii) Box B does not contain Safety Jackets.

Hence, a torch light is placed in box D.

Six boxes: A, B, C, D, E and F

Six items: Helmet, Medicines, Ropes, Safety Jackets, Torch lights and Water bottles

Boxes: (bottommost) 1 to 6 (topmost)

i) Box A contains Ropes and is placed on an even numbered position.

ii) Box containing Safety Jackets is kept at the position which is numbered as even prime number.

iii) Torch lights are placed in the topmost box.

iv) One box is placed between Box A and Box D.

v) Box C is kept at the bottommost position.

vi) Safety jackets are not kept in box D.

vii) Box E which contains Medicines is kept below the box which contains Water bottles.

viii) Box B does not contain Safety Jackets.

Here, in each pair the box is followed by the item placed immediately below it, except ‘Box D – Torch lights ‘.

Hence**, ‘Box D – Torch lights’** is correct.

Given: Seven persons read different number of articles in a particular day.

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

1. Only one person reads more articles than R. The number of persons who read more articles than Y is equal to the number of persons who read less articles than Y. From these, we get-

2. S reads more articles than Y but less than R. S reads 10 articles. From these, we get-

3. Only one person reads less articles than E. B reads the least number of articles. F reads more than E but less than Y. From these, we get the final table as follows-

From the above final table, we see that person Y read the fourth highest number of articles in a day.

Hence, person Y read the fourth highest.

Given: Seven persons read different number of articles in a particular day.

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

1. Only one person reads more articles than R. The number of persons who read more articles than Y is equal to the number of persons who read less articles than Y. From these, we get-

2. S reads more articles than Y but less than R. S reads 10 articles. From these, we get-

3. Only one person reads less articles than E. B reads the least number of articles. F reads more than E but less than Y. From these, we get the final table as follows-

From the above final table, we see that F reads less articles than S.

Hence, the possible number of articles read by F is 7.

Given: Seven persons read different number of articles in a particular day.

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

1. Only one person reads more articles than R. The number of persons who read more articles than Y is equal to the number of persons who read less articles than Y. From these, we get-

2. S reads more articles than Y but less than R. S reads 10 articles. From these, we get-

3. Only one person reads less articles than E. B reads the least number of articles. F reads more than E but less than Y. From these, we get the final table as follows-

From the above final table, we see that if Y reads 8 articles and S reads 10 articles, then their average number of articles read per day is 9.

Hence, the required average is 9.

The correct answer is Option 3.

Key Points

• The passage highlights the importance of specific attributes linked to women’s performance in environments demanding patience, meticulous planning, and empathy.
• Organizational skills are identified as one of the main contributing factors to this superior performance.
• Women’s ability to excel in multitasking, detailed planning, and long-term strategizing is emphasized.
• These traits are anchored in the context of contemporary psychology and historical perspectives.

Therefore, the correct answer is Organizational skills.

Additional Information

• Physical strength – This attribute is not associated with the performance context described in the passage.
• Technical skills – While valuable, this is not the focus of the passage regarding women’s superior performance.
• Risk-taking behaviour – This is indirectly mentioned, but not cited as a primary factor in women's superior performance.
• Competitive nature – Not highlighted as a key attribute in the given context for women’s performance.

The correct answer is Option 2.

Key Points

• The passage mentions that women are more likely to adopt a collaborative approach to problem-solving and decision-making.
• This approach involves seeking input from others and considering multiple perspectives.
• The collaborative approach fosters a more inclusive environment and leads to more well-rounded and effective solutions.
• In contrast, men are described as more prone to taking a direct and solitary approach.

Therefore, the correct answer is Collaborative.

Additional Information

• Aggressive – This approach is not mentioned in the passage as characteristic of women's problem-solving style.
• Solitary – This approach is described as more typical of men, not women.
• Competitive – Not highlighted in the context of the problem-solving and decision-making approaches of women.
• Hierarchical – This approach is not discussed in the passage in relation to women's decision-making style.

The correct answer is 'Option 4'.

Key Points

• A. Women are generally better at stress management than men because they seek social support.
• This can be inferred from the passage. The passage explains that women often seek social support to manage stress, which helps them maintain high performance levels.
• B. Men’s performance improvement methods under stress are less effective compared to women’s methods.
• This can be inferred from the passage. The passage states that men tend to use individualistic strategies under stress, which may not provide as much relief and could hinder their performance.
• C. Societal expectations have consistently favoured women in professional and academic settings.
• This cannot be inferred from the passage. In fact, the passage suggests that women have had to adapt and work harder in systems predominantly designed with men in mind.

Therefore, the correct answer is Both A and B.

Additional Information

• Only A: Incorrect because both A and B can be inferred from the passage.
• Only B: Incorrect because both A and B can be inferred from the passage.
• Only C: Incorrect because C cannot be inferred from the passage.
• All A, B, and C: Incorrect because C cannot be inferred from the passage.

The correct answer is 'exceptional'.

Key Points

• The passage discusses how early encouragement in academics can lead to performance in higher education and professional environments.
• The appropriate adjective should describe a high level of performance resulting from this early encouragement.
• "Exceptional" fits well as it denotes a very high level of performance, which aligns with the context of the passage.
• Other options ("average", "mediocre", "subpar", "trivial") do not fit the context of describing high achievement in education and professional environments.

Therefore, the correct answer is 'Option 2'.

Complete Passage: This early encouragement to lay strong academic foundations can translate into exceptional performance in higher education and professional environments.

Additional Information

• Average: "Average" means a typical or normal level, which does not reflect the high achievement discussed in the passage.
• Mediocre: "Mediocre" means of only moderate quality, not very good, which doesn't align with describing strong performance.
• Subpar: "Subpar" means below an average level, which is not fitting for describing high achievement in the given context.
• Trivial: "Trivial" means of little value or importance, which does not describe significant achievement or performance.

The correct answer is Option 1.

Key Points

• Statement A: Women tend to adopt a direct and solitary approach to decision-making.
• This statement is incorrect as the passage states that women generally adopt a collaborative approach to decision-making.
• Statement B: Cultural norms have necessitated higher levels of resilience in women.
• This statement is correct as it aligns with the context provided in the passage.
• Statement C: Emotional intelligence is a key factor in women’s ability to multitask effectively.
• This statement is correct as it accurately reflects the context provided in the passage.
• Hence, the statement A is identified as incorrect in the context of the passage.

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

The correct answer is Option 3.

Key Points

• Statement A: Women generally perform less well under stress than men.
• This statement is incorrect because the passage explains that women often handle stress better due to their tendency to seek social support.
• Statement B: Women’s performance superiority is solely a modern phenomenon.
• This statement is incorrect as the passage states that the idea of women excelling in specific areas has historical roots.
• Statement C: Resilience developed by women often contributes to their exceptional performance.
• This statement is correct because the passage mentions that resilience, developed through navigating systems and structures, contributes to women’s exceptional performance.
• Hence, the statement C is identified as correct in the context of the passage.

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

The correct answer is Option 2.

Key Points

• Statement A: Men are more likely to employ collaborative approaches in problem-solving.
• This statement is incorrect because the passage states that women are more likely to adopt collaborative approaches, whereas men are more prone to taking direct and solitary approaches.
• Statement B: Societal expectations have historically influenced women’s performance.
• This statement is correct as the passage mentions that women have had to navigate through systems and structures designed with men in mind, necessitating adaptability and higher competence.
• Statement C: Early educational encouragement has no effect on girls' professional success.
• This statement is incorrect because the passage highlights the importance of early educational encouragement in laying strong academic foundations, which can translate into higher performance in professional environments.
• Hence, the statement B is identified as correct in the context of the passage.

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

The correct answer is Option 4.

Key Points

• Statement A: Men tend to perform better when they employ individualistic strategies under stress.
• This statement is incorrect because the passage mentions that men might find their performance hindered when they resort to individualistic strategies under stress.
• Statement B: Women often excel in environments that involve multitasking and detailed planning.
• This statement is correct according to the passage.
• Statement C: Societal expectations have always favoured women's superior performance in all areas.
• This statement is incorrect because the passage notes that women have had to navigate through systems and structures predominantly designed for men, which implies that societal expectations did not always favor women's performance.
• Hence, the statements A and C are identified as incorrect in the context of the passage.

Therefore, the correct answer is: ‘A and C’.

The correct answer is: Option 3.

Key Points

• The word "lay" means to put something down or to set a foundation for something. (रखना / आधार बनाना)
• Example: They need to lay the groundwork for the new project before moving forward.
• "establish" means to set up or create something on a firm or permanent basis. (स्थापित करना)
• Example: She managed to establish a successful career in the tech industry.

Therefore, the correct answer is: establish.

Additional Information

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

• Settle (बसाना): To resolve or reach an agreement about something.
• Example: They decided to settle their differences through conversation.
• Lift (उठाना): To raise to a higher position or level.
• Example: Can you lift that box for me?
• Disturb (परेशान करना): To interrupt the quiet, rest, or peace of something.
• Example: Please do not disturb the meeting.
• Remove (हटाना): To take something away or off from the position occupied.
• Example: You need to remove the old files from the computer.

The correct answer is: Option 5'.

Key Points

• The word "approach" means to come near or closer to something or someone in terms of distance, method, or time. (निकट आना / तरीका)
• Example: The new approach to teaching has shown significant improvements in student outcomes.
• "avoidance" means the action of keeping away from or not doing something. (बचाव / टालना)
• Example: His avoidance of difficult tasks led to more problems in the long run.

Therefore, the correct answer is: avoidance.

Additional Information

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

• Method (तरीका): A particular procedure for accomplishing or approaching something.
• Example: We need a new method to solve this problem.
• Distance (दूरी): The amount of space between two places or points.
• Example: The distance between the two cities is about 200 miles.
• Exit (बाहर निकलना): A way out of a place or situation.
• Example: Please find the nearest exit in case of an emergency.
• Process (प्रक्रिया): A series of actions or steps taken in order to achieve a particular end.
• Example: The process of applying for a visa can be quite complex.

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:
• Come up: to arise or be mentioned in conversation; to think of or devise (something, such as an idea or solution). (उद्भव होना, चर्चा में आना, किसी विचार या समाधान के साथ आना)
• Now, let's examine the given sentences:
• Sentence A: She managed to come up with a brilliant solution during the meeting.
• This sentence correctly uses the phrase "come up" to describe devising a solution.
• Sentence B: The old house's pipes need to be come up due to leaks.
• This sentence incorrectly uses the phrase "come up". It should refer to fixing or replacing the pipes.
• Sentence C: Every time I talk to him, new topics come up in our conversation.
• This sentence correctly uses the phrase "come up" to describe new topics arising in conversation.
• So, only sentences A and C correctly use the phrase ""come up" to illustrate different contexts of devising ideas or arising in conversation.

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

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:
• Get across: to successfully communicate or convey (something); to move from one side to the other. (समझाना, एक ओर से दूसरी ओर जाना)
• Now, let's examine the given sentences:
• Sentence A: The teacher struggled to get across the complex ideas to the students.
• This sentence correctly uses the phrase "get across" to describe the act of communicating ideas effectively.
• Sentence B: The cat managed to get across the busy street safely.
• This sentence also correctly uses the phrase "get across" to describe moving from one side of the street to the other.
• Sentence C: They get across the river by using a small boat.
• This sentence accurately uses the phrase "get across" to describe moving from one side of the river to the other.
• So, all three sentences correctly use the phrase ""get across" to illustrate different contexts of communicating or moving across.

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

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:
• Check out: to examine or look at something; to borrow a book from a library; to leave and pay for a hotel stay. (जाँच करना, पुस्तक उधार लेना, होटल से चेक-आउट करना)
• Now, let's examine the given sentences:
• Sentence A: We decided to check out the new restaurant downtown.
• This sentence correctly uses the phrase "check out" to describe the act of examining or trying out the new restaurant.
• Sentence B: She asked the librarian if she could check out the latest mystery novel.
• This sentence also correctly uses the phrase "check out" to describe borrowing a book from the library.
• Sentence C: The hotel asked guests to check out by noon.
• This sentence accurately uses the phrase "check out" to describe the process of leaving and paying for a hotel stay.
• So, all three sentences correctly use the phrase ""check out" to illustrate different contexts of examining, borrowing, or leaving.

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

The correct option is 'A' as it should be "shed tears" which means to cry, instead of "shade tears" which has no meaning. ‘Shade’ means ‘shadow’ and bears no relation to tears.

"Messanger's" is an incorrect spelling. The correct spelling is 'messenger's'.

The word ‘sirious’ is the wrong spelling. The correct spelling is ‘serious’.

The given sentence is correct.

The correct answer is option 2.

The correct word in this context would be 'reward' since it means a thing given in recognition of service, effort, or achievement.

Note: Betwixt is an archaic term which means 'between'

The sentence is a proverb and the correct form of the word to be used in this context is 'deceptive'.

'Deceptive' means 'giving an appearance or impression different from the true one; misleading'.

The correct answer is option 3.

Key Points

• The correct form of the word 'compulsory' to be used in the context of the sentence is 'compulsorily'.
• 'Compulsorily' is the adverb form of the word 'compulsory', which means 'required, mandatory, obligatory'.
• So, the word that would fit the blank would be Compulsorily.

Additional Information

• Compel means force or oblige (someone) to do something.
• Compiled means produce (a list or book) by assembling information collected from other sources.

The correct word is 'perils.' It means 'serious and immediate danger.' It makes sense because we are talking about the death of a person most probably a journalist. 

Responsibility: the state or fact of having a duty to deal with something or of having control over someone.

Onus: something that is one's duty or responsibility.

Guilt: the fact of having committed a specified or implied offence or crime.

Restraint: a measure or condition that keeps someone or something under control.

The correct answer is 'Only I and II'.

Key Points

In the given statements, the errors are in statement I and statement II.​

• ​​​In statement I, its should be replaced by it’s (it is) to make the sentence grammatically correct.
• Here Its is a possessive determiner we use to say that something belongs to or refers to something whereas it’s is a contraction of “it is” or “it has”.
• For e.g.- 1. Its been a year since the last time they met. (Incorrect)                          2. It’s been a year since the last time they met. (Correct)
• In statement II, the verb should be say in place of says since the subject is researchers, which is plural in number. According to the Subject-verb Concord, the verb must agree with its subject in number and person.
• For e.g.- No examples are relevant to the case

Thus, the correct sentences are I. It’s hazardous to use a handheld cell phone while driving.  and II. T**hey are also dangerous say, researchers.

Statement III is grammatically and contextually correct. Sentence III is an example of subject-verb agreement with a compound subject.

Additional Information

Compound subjects (two subjects in the same sentence) usually take a plural verb, unless the combination is treated as singular in popular usage or the two subjects refer to the same thing or person.

• Neither my dad nor my brothers know how to ski. (Correct sentence)
• Corn and cheese are great on a pizza. (Correct sentence)

The correct answer is 'Only I and III'.

Key Points

In the given statements, the errors are in statement I and statement III.

• In statement I, the preposition at will be replaced by on to make the sentence grammatically correct. The idiom on the verge of means at the point when (something) is about to happen or is very likely to happen.
• For e.g.- The company was on the verge of going bankrupt.
• In statement III, the preposition in will be replaced by over because the preposition in indicates rest or motion inside anything or refer to a period of time usually in the future.
• For e.g.- She is in the garden.
• He will return in a month

Here the sentence talks about clouds so we have to use the preposition over which means moving across space above someone or something to make the sentence grammatically correct.

• Statement II is grammatically and contextually correct. Here the preposition by is used which means according to; from the evidence of.
• For e.g.- By my watch, it is 10:30.
• Thus the correct sentences are: I. India’s manufacturing sector was believed to be on the verge of sickness. and **​II. Clouds hung thick and grey over Bengaluru airport.

Additional Information

Over can be used in the following ways

The correct answer is Option 2) i.e. Both A and C are incorrect.

Key Points

• A) Sentence A is incorrect. 'invaded Spain' should be there in place of 'has invaded Spain'
• Explanation: When a specified time of past is mentioned then we use past indefinite in place of the present perfect tense.
• B) Sentence B is correct.
• Explanation: Since the action is continuing from the past into the present, the perfect tense is correctly used.
• C) Sentence C is incorrect. 'they had been married' should be there in place of 'they were married'
• Explanation: Present perfect tense is used denoting an action completed prior to some past point of time specified or implied.

Correct Sentence A: 'The Moors invaded Spain in the eighth century, and much of the Spanish language derives from Arabic.' 

Correct Sentence C: 'It must have been very strange for him to be alone after they had been married for more than 50 years.' 

The correct answer is Option 4) i.e. Both A and C are incorrect

Key Points

• A) Sentence A is incorrect. 'whether the virtues' should be there in place of 'if the virtues'
• Explanation: 'whether...or' is the correct pair of conjunction
• B) Sentence B is correct.
• Explanation: 'Yet' is used to express a new idea regardless of what the existing one suggests.
• C) Sentence C is incorrect. 'but also that its production' should be there in place of 'but that its production'
• Explanation: 'not only...but also' is the correct pair of conjunction

Correct Sentence A: 'They meditate whether the virtues of the one will exalt or diminish the force of the other, or correct any of its nocent qualities.' 

Correct Sentence C: 'Boulton realized not only that this engine could power his manufactory, but also that its production might be a profitable business venture.' 

The correct answer is D.

Key Points

• The given paragraph is about Globalization.
• Sentence D is the first sentence as it introduces the topic of the paragraph by talking about how globalisation influences foreign trade in the world.
• Sentence C is the second sentence as it continues D by explaining that things that were only found in developed countries are now found in other countries as well thus expanding foreign trade.
• Sentence B is the third sentence as it explains that people in other countries can get whatever they want because things from different countries can be traded now.
• Sentence A is the fourth sentence as it explains the international trade in which countries import and export across the globe.
• Sentence E is at the correct place so it's the fifth sentence explaining that to overlook these trades and to maintain a fair trade, some organizations have been established.
• Sentence F is the sixth sentence as it continues E, it talks about World trade organizations which is one of such organisations established to influence individual governments to follow international trade rules, copyrights, policies on subsidies, taxes and tariffs.
• The correct sequence is DCBAEF.

Additional Information

• Globalization is the process by which businesses or other organizations develop international influence or start operating on an international scale.

The correct answer is C.

Key Points

• The given paragraph is about Globalization.
• Sentence D is the first sentence as it introduces the topic of the paragraph by talking about how globalisation influences foreign trade in the world.
• Sentence C is the second sentence as it continues D by explaining that things that were only found in developed countries are now found in other countries as well thus expanding foreign trade.
• Sentence B is the third sentence as it explains that people in other countries can get whatever they want because things from different countries can be traded now.
• Sentence A is the fourth sentence as it explains the international trade in which countries import and export across the globe.
• Sentence E is at the correct place so it's the fifth sentence explaining that to overlook these trades and to maintain a fair trade, some organizations have been established.
• Sentence F is the sixth sentence as it continues E, it talks about World trade organizations which is one of such organisations established to influence individual governments to follow international trade rules, copyrights, policies on subsidies, taxes and tariffs.
• The correct sequence is DCBAEF.

Additional Information

• Foreign trade is the exchange of capital, goods, and services across international borders or territories.
• ​For example, Foreign trade is of critical importance to the economy.

The correct answer is B.

Key Points

• The given paragraph is about Globalization.
• Sentence D is the first sentence as it introduces the topic of the paragraph by talking about how globalisation influences foreign trade in the world.
• Sentence C is the second sentence as it continues D by explaining that things that were only found in developed countries are now found in other countries as well thus expanding foreign trade.
• Sentence B is the third sentence as it explains that people in other countries can get whatever they want because things from different countries can be traded now.
• Sentence A is the fourth sentence as it explains the international trade in which countries import and export across the globe.
• Sentence E is at the correct place so it's the fifth sentence explaining that to overlook these trades and to maintain a fair trade, some organizations have been established.
• Sentence F is the sixth sentence as it continues E, it talks about World trade organizations which is one of such organisations established to influence individual governments to follow international trade rules, copyrights, policies on subsidies, taxes and tariffs.
• The correct sequence is DCBAEF.

Additional Information

• The word copyrights means exclusive and assignable legal right, given to the originator for a fixed number of years, to print, publish, perform, film, or record literary, artistic, or musical material.
• ​​For example, His family still holds the copyright to his songs.

The correct answer is A.

Key Points

• The given paragraph is about Globalization.
• Sentence D is the first sentence as it introduces the topic of the paragraph by talking about how globalisation influences foreign trade in the world.
• Sentence C is the second sentence as it continues D by explaining that things that were only found in developed countries are now found in other countries as well thus expanding foreign trade.
• Sentence B is the third sentence as it explains that people in other countries can get whatever they want because things from different countries can be traded now.
• Sentence A is the fourth sentence as it explains the international trade in which countries import and export across the globe.
• Sentence E is at the correct place so it's the fifth sentence explaining that to overlook these trades and to maintain a fair trade, some organizations have been established.
• Sentence F is the sixth sentence as it continues E, it talks about World trade organizations which is one of such organisations established to influence individual governments to follow international trade rules, copyrights, policies on subsidies, taxes and tariffs.
• The correct sequence is DCBAEF.

Additional Information

• The word subsidies means a sum of money granted by the state or a public body to help an industry or business keep the price of a commodity or service low. 
• ​​​For example, The company receives a heavy subsidy from the national government.

The correct answer is F.

Key Points

• The given paragraph is about Globalization.

• Sentence D is the first sentence as it introduces the topic of the paragraph by talking about how globalisation influences foreign trade in the world.

• Sentence C is the second sentence as it continues D by explaining that things that were only found in developed countries are now found in other countries as well thus expanding foreign trade.

• Sentence B is the third sentence as it explains that people in other countries can get whatever they want because things from different countries can be traded now.

• Sentence A is the fourth sentence as it explains the international trade in which countries import and export across the globe.

• Sentence E is at the correct place so it's the fifth sentence explaining that to overlook these trades and to maintain a fair trade, some organizations have been established.

• Sentence F is the sixth sentence as it continues E, it talks about World trade organizations which is one of such organisations established to influence individual governments to follow international trade rules, copyrights, policies on subsidies, taxes and tariffs.

• The correct sequence is DCBAEF.

Additional Information

• The word countries is plural for the word country. Here, country ends with a 'y' so its plural form will have a '-ies'.
• Regular nouns are changed to plural by adding an 's'.
• If the singular noun ends in ‑s, -ss, -sh, -ch, -x, or -z, add ‑es to the end to make it plural.

General solution:

Total number of sarees sold in all the shops A, B and C = 2000

Number of sarees sold in shop A = x

Number of sarees sold in shop B = x ×  (125/100) = 1.25x

Number of sarees sold in shop C = (x + 50)

(x + 1.25x + x + 50) = 2000

3.25x = 1950

x = 600

Number of sarees sold in shop A = 600

Number of sarees sold in shop B = 1.25 ×  600 = 750

Number of sarees sol in shop C = (600 + 50) = 650

Number of shirts sold in shop A = 600/3 ×  2 = 400

Number of shirts sold in shop B = (400 + 100) = 500

Total shirts sold in all the shops = 450 ×  3 = 1350

Number of shirts sold in shop C = (1350 - (400 + 500)) = 450

Solution:

Number of sarees sold in shop A = 600

Number of shirts sold in shop C = 450

Required difference = (600 - 450) = 150

General solution:

Total number of sarees sold in all the shops A, B and C = 2000

Number of sarees sold in shop A = x

Number of sarees sold in shop B = x ×  (125/100) = 1.25x

Number of sarees sold in shop C = (x + 50)

(x + 1.25x + x + 50) = 2000

3.25x = 1950

x = 600

Number of sarees sold in shop A = 600

Number of sarees sold in shop B = 1.25 ×  600 = 750

Number of sarees sol in shop C = (600 + 50) = 650

Number of shirts sold in shop A = 600/3 ×  2 = 400

Number of shirts sold in shop B = (400 + 100) = 500

Total shirts sold in all the shops = 450 ×  3 = 1350

Number of shirts sold in shop C = (1350 - (400 + 500)) = 450

Solution:

Number of sarees sold in shop B = 750

Number of sarees sold in shop C = 650

Number of shirts sold in shop B = 500

Number of shirts sold in shop C = 450

Required sum = (750 + 650 + 500 + 450) = 2350

General solution:

Total number of sarees sold in all the shops A, B and C = 2000

Number of sarees sold in shop A = x

Number of sarees sold in shop B = x ×  (125/100) = 1.25x

Number of sarees sold in shop C = (x + 50)

(x + 1.25x + x + 50) = 2000

3.25x = 1950

x = 600

Number of sarees sold in shop A = 600

Number of sarees sold in shop B = 1.25 ×  600 = 750

Number of sarees sol in shop C = (600 + 50) = 650

Number of shirts sold in shop A = 600/3 ×  2 = 400

Number of shirts sold in shop B = (400 + 100) = 500

Total shirts sold in all the shops = 450 ×  3 = 1350

Number of shirts sold in shop C = (1350 - (400 + 500)) = 450

Solution:

Number of sarees sold in shop C = 650

Number of shirts sold in shop B = 500

Required ratio = 650: 500 = 13: 10

General solution:

Total number of sarees sold in all the shops A, B and C = 2000

Number of sarees sold in shop A = x

Number of sarees sold in shop B = x ×  (125/100) = 1.25x

Number of sarees sold in shop C = (x + 50)

(x + 1.25x + x + 50) = 2000

3.25x = 1950

x = 600

Number of sarees sold in shop A = 600

Number of sarees sold in shop B = 1.25 ×  600 = 750

Number of sarees sol in shop C = (600 + 50) = 650

Number of shirts sold in shop A = 600/3 ×  2 = 400

Number of shirts sold in shop B = (400 + 100) = 500

Total shirts sold in all the shops = 450 ×  3 = 1350

Number of shirts sold in shop C = (1350 - (400 + 500)) = 450

Solution:

Number of sarees from shop B sold at discounted price = 750 ×  (20/100) = 150

Number of sarees from shop C sold at discounted price = 650 ×  (40/100) = 260

Number of sarees sold at marked price in shop B and C = (750 + 650) - (150 + 260) = 990

General solution:

Total number of sarees sold in all the shops A, B and C = 2000

Number of sarees sold in shop A = x

Number of sarees sold in shop B = x ×  (125/100) = 1.25x

Number of sarees sold in shop C = (x + 50)

(x + 1.25x + x + 50) = 2000

3.25x = 1950

x = 600

Number of sarees sold in shop A = 600

Number of sarees sold in shop B = 1.25 ×  600 = 750

Number of sarees sol in shop C = (600 + 50) = 650

Number of shirts sold in shop A = 600/3 ×  2 = 400

Number of shirts sold in shop B = (400 + 100) = 500

Total shirts sold in all the shops = 450 ×  3 = 1350

Number of shirts sold in shop C = (1350 - (400 + 500)) = 450

Solution:

Number of shirts sold in shop B = 500

Number of shirts sold in shop C = 450

Required percentage = (450/500) ×  100 = 90%

Shortcut Trick

Let speed of boat be u and speed of stream be v.

Case 1: 18/(u + v) + 18/(u − v) = 8 ⇒ 36u / (u² − v²) = 8 ⇒ u² − v² = 4.5u

Case 2: 18/(2u + v) + 18/(2u − v) = 3.2 ⇒ 72u / (4u² − v²) = 3.2 ⇒ 4u² − v² = 22.5u

Subtracting Eq 1 from Eq 2: 3u² = 18u ⇒ u = 6 km/hr.

∴ The correct answer is 6 km/hr.

Alternate Method

Given: Total Distance = 18 km each way, Total Time 1 = 8 hours, Total Time 2 (with 2u) = 3.2 hours.

Formula Used: Time = Distance ÷ Speed

⇒ 18/(u + v) + 18/(u − v) = 8

⇒ 18 × (2u / (u² − v²)) = 8

⇒ 36u = 8(u² − v²) ⇒ v² = u² − 4.5u --- (Equation 1)

⇒ 18/(2u + v) + 18/(2u − v) = 3.2

⇒ 18 × (4u / (4u² − v²)) = 3.2

⇒ 72u = 3.2(4u² − v²) ⇒ v² = 4u² − 22.5u --- (Equation 2)

⇒ Equating v²: u² − 4.5u = 4u² − 22.5u

⇒ 3u² = 18u

⇒ u = 6 km/hr

∴ The correct answer is 6 km/hr.

Additional Information

Downstream and Upstream Speed

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

Speed of Boat in Still Water

Speed of boat (u) = (D + U) ÷ 2.

Speed of Current

Speed of current (v) = (D − U) ÷ 2.

Shortcut Trick

Total Work (LCM of 18, 24, 30) = 360 units.

Efficiencies: P = 20, Q = 15, R = 12.

3-day cycle: Day 1 (P) + Day 2 (P) + Day 3 (P+Q+R) = 20 + 20 + 47 = 87 units.

In 4 cycles (12 days): 87 × 4 = 348 units. Remaining = 360 − 348 = 12 units.

Time for remaining work = 12 ÷ 20 = 3/5 days.

Total time = 12 + 3/5 = 12 3/5 days.

∴ The correct answer is 12 3/5 days.

Alternate Method

Given: Time taken by P = 18 days, Q = 24 days, R = 30 days.

⇒ Efficiency of P = 360 ÷ 18 = 20 units/day

⇒ Efficiency of Q = 360 ÷ 24 = 15 units/day

⇒ Efficiency of R = 360 ÷ 30 = 12 units/day

⇒ Work done in Day 1 (P only) = 20 units

⇒ Work done in Day 2 (P only) = 20 units

⇒ Work done in Day 3 (P+Q+R) = 20 + 15 + 12 = 47 units

⇒ Total work in 1 cycle (3 days) = 20 + 20 + 47 = 87 units

⇒ Work done in 4 cycles (12 days) = 87 × 4 = 348 units

⇒ Remaining work = 360 − 348 = 12 units

⇒ Time taken by P to do remaining work = 12 ÷ 20 = 3/5 days

⇒ Total time = 12 + 3/5 = 12 3/5 days

∴ The correct answer is 12 3/5 days.

Additional Information

LCM Method for Time and Work

Total work is assumed as the LCM of individual time periods to ensure efficiencies are whole numbers. Efficiency = Total Work ÷ Time.

Alternate Day / Periodic Help Work

In periodic help problems, identify the repeating cycle (e.g., 3 days here) and calculate the total work done in one complete cycle.

Work and Wages Relation

Wages are always distributed in the ratio of the actual work done by each person, which is Efficiency × Time.

Shortcut Trick

In 22 liters from Vessel P (Ratio 6:5), Milk = 12 liters and Water = 10 liters.

Let Vessel Q initial quantity be 7x. Milk = 4x, Water = 3x.

New ratio in Q: (4x + 12) / (3x + 10) = 22 / 17 ⇒ 68x + 204 = 66x + 220 ⇒ 2x = 16 ⇒ x = 8.

New quantity in Q = 7 × 8 + 22 = 78 liters = Initial quantity in P.

Quantity in P after taking out 22 liters = 78 − 22 = 56 liters. Milk = (6/11) × 56 = 336/11 liters.

∴ The correct answer is 336/11 liters.

Alternate Method

Given: Ratio P (6:5), Ratio Q (4:3), Transfer 22 L, New Q ratio (22:17).

⇒ In 22 L from P: Milk = 22 × (6/11) = 12 L; Water = 22 × (5/11) = 10 L.

⇒ Let initial Milk and Water in Q be 4x and 3x.

⇒ (4x + 12) / (3x + 10) = 22 / 17

⇒ 17(4x + 12) = 22(3x + 10) ⇒ 68x + 204 = 66x + 220

⇒ 2x = 16 ⇒ x = 8.

⇒ Initial quantity in Q = 7 × 8 = 56 liters.

⇒ New quantity in Q = 56 + 22 = 78 liters.

⇒ Initial quantity in P = 78 liters.

⇒ Quantity in P after removal = 78 − 22 = 56 liters.

⇒ Milk in remaining P = 56 × (6/11) = 336/11 liters.

∴ The correct answer is 336/11 liters.

Additional Information

Mixture Removal Property

When a part of a mixture is removed, the ratio of components in the remaining mixture and the removed part remains the same as the initial ratio.

Alligation Method

Can be used when two mixtures are mixed to find the resulting concentration or ratio. Quantity₁/Quantity₂ = (C₂ − C_m)/(C_m − C₁).

Replacement Formula

Final Quantity = Initial Quantity × (1 − x/V)ⁿ, where x is volume replaced and V is total volume.

Solution:

The number of cars sold by company Y in city K = 250 x 10/100 = 25

The number of cars and bikes sold by company X in city K = 400 – 250 – 25 = 125

The number of cars sold by company X in city K = 125 x 3/5 = 75

Required percentage = 75/200 x 100 = 37.5%

Solution:

The number of bikes sold by company Y in city L = 150

The number of bikes sold by company X in city L = 150 x 33.33/100 = 50

The number of cars sold by company X in city L = 250 x 50/100 = 125

The number of cars sold by company Y in city L = 350 – 150 – 50 – 125 = 25

Solution:

The number of bikes sold by company X in city M = 20

The total number of cars sold by companies X and Y in city M = 300 – 200 – 20 = 80

The number of bikes sold by company Y in city M = (80 - 20)/2 = 30

Solution:

The number of bikes sold by company X in city N = 250 x 30/100 = 75

The number of cars sold by company Y in city N = (450 – 250 - 75) x 9/25 = 125 x 9/25

The number of cars sold by company Y in city N = 45

Solution:

The number of vehicles (car + bike) sold by companies X and Y in city O = 350 x 3 – 300 – 450 = 300

The number of bikes sold by company Y in city O = 150 x 60/100 = 90

The number of cars sold by company Y in city O = 90 – 30 = 60

Required total = 300 – 90 – 60 = 150

Given:

1000 , 1001 , 993 , 1002 , 936 , 963

Calculation:

Here the logic follows as,

Hence, 936 is the wrong term

$\therefore$ The correct answer is 936.

Given:

5 , 14 , 53 , 128 , 240, 390

Calculation:

Here the logic follows as,

14 - 4 = 10 

Hence, 5 is the wrong term

$\therefore$ The correct answer is 5.

Given:

205 , 236 , 279 , 304 , 341

Calculation:

Here the logic follows as,

Hence, 279 is the wrong term

$\therefore$ The correct answer is 279.

Calculation:

⇒ 74 + 51 = 125

⇒ 125 – 49 = 76

⇒ 76 + 46 = 122

⇒ 122 – 42 = 80

⇒ 80 + 37 = 117

∴ The wrong number is 79

Calculation:

The series follows the following pattern:

⇒ 87 + 27 = 114

⇒ 114 – 11 = 103

⇒ 103 + 27 = 130

⇒ 130 – 11 = 119

⇒ 119 + 27 = 146

⇒ 146 – 11 = 135

∴ The wrong number is 144

Shortcut Trick

Simple Interest = 3/5 × Principal ⇒ Rate x = (3/5 × 100) ÷ 5 = 12%.

New CI Rate = 12% + 4% = 16%.

For 2 years at 16%, Effective Rate = 16 + 16 + (16 × 16)/100 = 34.56%.

CI = 12000 × 34.56% = 120 × 34.56 = ₹4147.2.

∴ The correct answer is ₹4147.2.

Alternate Method

Given: Principal (P) = ₹12000, Time (T₁) = 5 years, SI = 3/5 × P, Time (T₂) = 2 years, CI Rate = (x + 4)%.

Formula Used: SI = (P × R × T)/100 and CI = P[(1 + R/100)ⁿ − 1].

⇒ SI = 3/5 × 12000 = ₹7200.

⇒ 7200 = (12000 × x × 5) / 100.

⇒ 7200 = 600x ⇒ x = 12%.

⇒ New Rate = 12 + 4 = 16%.

⇒ CI = 12000 × [(1 + 16/100)² − 1].

⇒ CI = 12000 × [(1.16)² − 1] = 12000 × [1.3456 − 1].

⇒ CI = 12000 × 0.3456 = ₹4147.2.

∴ The correct answer is ₹4147.2.

Additional Information

Effective Rate of CI

For 2 years, the effective interest rate is R + R + (R × R)/100 percent of the Principal.

Relationship between SI and CI

Difference for 2 years = P × (R/100)². For the 1st year, SI and CI are always equal if compounded annually.

Shortcut Trick

Initial speed (x + 4) = 360 ÷ 15 = 24 kmph.

Speed boost = 24 ÷ 4 = 6 kmph → New speed = 30 kmph.

New time = 360 ÷ 30 = 12 hours → Time saved y = 15 − 12 = 3 hours.

Final speed = x − y = 20 − 3 = 17 kmph.

Required time = 187 ÷ 17 = 11 hours.

∴ The correct answer is 11 hr.

Alternate Method

Given: Total distance = 360 km, Time taken = 15 hours at speed (x + 4) km/hr.

Formula Used: Speed = Distance ÷ Time; Time = Distance ÷ Speed.

⇒ Speed (x + 4) = 360 ÷ 15

⇒ x + 4 = 24 km/hr

⇒ x = 20 km/hr

⇒ Boosted speed = (x + 4) + (x + 4)/4 = 24 + 24/4 = 30 km/hr

⇒ New trip time = 360 ÷ 30 = 12 hours

⇒ y (Time decrease) = 15 − 12 = 3 hours

⇒ Target speed = x − y = 20 − 3 = 17 km/hr

⇒ Required time = 187 ÷ 17 = 11 hours

∴ The correct answer is 11 hr.

Additional Information

Speed-Time Relation

For a constant distance, speed is inversely proportional to time (S₁ × T₁ = S₂ × T₂).

Average Speed

Average Speed = Total Distance ÷ Total Time. For two equal distances with speeds a and b, Average Speed = 2ab/(a + b).

Shortcut Trick

Ratio of Profit = Σ(Capital × Time)

A : B : C = (8 × 8 + 6 × 4) : (6 × 12) : (5 × 8 + 6 × 4)

A : B : C = (64 + 24) : 72 : (40 + 24) = 88 : 72 : 64

Simplified Ratio = 11 : 9 : 8. Total units = 11 + 9 + 8 = 28 units.

28 units = Rs. 14000 ⇒ 1 unit = Rs. 500.

Profit of C = 8 × 500 = Rs. 4000.

∴ The correct answer is Rs. 4000.

Alternate Method

Given → Initial Capital Ratio A:B:C = 8:6:5. Time = 12 months. Formulas → Profit Share = Capital × Time Period

⇒ A's investment: (8 × 8 months) + (8 × 75% × 4 months) = 64 + 24 = 88. ⇒ B's investment: (6 × 12 months) = 72. ⇒ C's investment: (5 × 8 months) + (5 × 120% × 4 months) = 40 + 24 = 64. ⇒ Total Investment Ratio A:B:C = 88 : 72 : 64 = 11 : 9 : 8. ⇒ Sum of ratios = 11 + 9 + 8 = 28. ⇒ C's share = (8 ÷ 28) × 14000 = 8 × 500 = 4000.

∴ The correct answer is Rs. 4000.

Additional Information

Partnership Basics

Profit is distributed based on the product of Capital and Time. If time is constant, profit ratio equals capital ratio.

Percentage Changes

To calculate a 25% decrease, multiply by 0.75. For a 20% increase, multiply by 1.20.