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NIACL Assistant Problems on Ages Questions with Answers & Explanations

19 Problems on Ages questions from the Quantitative Aptitude section of NIACL Assistant, each with the correct answer and a worked explanation. Try each question first, then tap Show answer to check. When you're ready, take the timed chapter-wise test to see your all-India rank.

Question 1

The present ages of A and B are in the ratio 3 : 5. After 8 years, the ratio of their ages will be 23 : 33. What is the present age of B?

  1. A20 years
  2. B25 years
  3. C33 years
  4. D15 years
  5. E30 years
Show answer
Answer: (B) 25 years Let ages be 3x and 5x. (3x + 8)/(5x + 8) gives x = 5, so B = 25 years.
Question 2

The present ages of A and B are in the ratio 3 : 4. After 5 years, the ratio of their ages will be 17 : 21. What is the present age of B?

  1. A21 years
  2. B16 years
  3. C20 years
  4. D12 years
  5. ENone of these
Show answer
Answer: (B) 16 years Let ages be 3x and 4x. (3x + 5)/(4x + 5) gives x = 4, so B = 16 years.
Question 3

The present ages of A and B are in the ratio 2 : 3. After 8 years, the ratio of their ages will be 26 : 35. What is the present age of B?

  1. A30 years
  2. B24 years
  3. C27 years
  4. D35 years
  5. E18 years
Show answer
Answer: (C) 27 years Let ages be 2x and 3x. (2x + 8)/(3x + 8) gives x = 9, so B = 27 years.
Question 4

The present ages of A and B are in the ratio 3 : 4. After 4 years, the ratio of their ages will be 7 : 9. What is the present age of B?

  1. A32 years
  2. B28 years
  3. C24 years
  4. D36 years
  5. ENone of these
Show answer
Answer: (A) 32 years Let ages be 3x and 4x. (3x + 4)/(4x + 4) gives x = 8, so B = 32 years.
Question 5

The present ages of A and B are in the ratio 4 : 5. After 6 years, the ratio of their ages will be 14 : 17. What is the present age of B?

  1. A36 years
  2. B51 years
  3. C50 years
  4. D40 years
  5. E45 years
Show answer
Answer: (E) 45 years Let ages be 4x and 5x. (4x + 6)/(5x + 6) gives x = 9, so B = 45 years.
Question 6

The present ages of A and B are in the ratio 3 : 5. After 4 years, the ratio of their ages will be 19 : 29. What is the present age of B?

  1. A15 years
  2. B30 years
  3. C29 years
  4. D20 years
  5. E25 years
Show answer
Answer: (E) 25 years Let ages be 3x and 5x. (3x + 4)/(5x + 4) gives x = 5, so B = 25 years.
Question 7

The present ages of A and B are in the ratio 5 : 6. After 8 years, the ratio of their ages will be 53 : 62. What is the present age of B?

  1. A45 years
  2. B60 years
  3. C62 years
  4. D54 years
  5. E48 years
Show answer
Answer: (D) 54 years Let ages be 5x and 6x. (5x + 8)/(6x + 8) gives x = 9, so B = 54 years.
Question 8

The present ages of A and B are in the ratio 5 : 6. After 8 years, the ratio of their ages will be 7 : 8. What is the present age of B?

  1. A20 years
  2. B24 years
  3. C18 years
  4. D30 years
  5. E32 years
Show answer
Answer: (B) 24 years Let ages be 5x and 6x. (5x + 8)/(6x + 8) gives x = 4, so B = 24 years.
Question 9

The present ages of A and B are in the ratio 3 : 4. After 8 years, the ratio of their ages will be 5 : 6. What is the present age of B?

  1. A20 years
  2. B12 years
  3. C16 years
  4. D24 years
  5. ENone of these
Show answer
Answer: (C) 16 years Let ages be 3x and 4x. (3x + 8)/(4x + 8) gives x = 4, so B = 16 years.
Question 10

The present ages of A and B are in the ratio 3 : 5. After 4 years, the ratio of their ages will be 25 : 39. What is the present age of B?

  1. A39 years
  2. B40 years
  3. C35 years
  4. D30 years
  5. E21 years
Show answer
Answer: (C) 35 years Let ages be 3x and 5x. (3x + 4)/(5x + 4) gives x = 7, so B = 35 years.

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Question 11

The present ages of A and B are in the ratio 3 : 4. After 5 years, the ratio of their ages will be 26 : 33. What is the present age of B?

  1. A32 years
  2. B33 years
  3. C21 years
  4. D24 years
  5. E28 years
Show answer
Answer: (E) 28 years Let ages be 3x and 4x. (3x + 5)/(4x + 5) gives x = 7, so B = 28 years.
Question 12

The present ages of A and B are in the ratio 5 : 6. After 10 years, the ratio of their ages will be 25 : 29. What is the present age of B?

  1. A42 years
  2. B40 years
  3. C54 years
  4. D58 years
  5. E48 years
Show answer
Answer: (E) 48 years Let ages be 5x and 6x. (5x + 10)/(6x + 10) gives x = 8, so B = 48 years.
Question 13

The present ages of A and B are in the ratio 4 : 5. After 5 years, the ratio of their ages will be 29 : 35. What is the present age of B?

  1. A25 years
  2. B30 years
  3. C35 years
  4. D24 years
  5. ENone of these
Show answer
Answer: (B) 30 years Let ages be 4x and 5x. (4x + 5)/(5x + 5) gives x = 6, so B = 30 years.
Question 14

The present ages of A and B are in the ratio 3 : 5. After 5 years, the ratio of their ages will be 29 : 45. What is the present age of B?

  1. A24 years
  2. B40 years
  3. C45 years
  4. D35 years
  5. ENone of these
Show answer
Answer: (B) 40 years Let ages be 3x and 5x. (3x + 5)/(5x + 5) gives x = 8, so B = 40 years.
Question 15

The present ages of A and B are in the ratio 2 : 3. After 6 years, the ratio of their ages will be 7 : 9. What is the present age of B?

  1. A9 years
  2. B15 years
  3. C8 years
  4. D18 years
  5. E12 years
Show answer
Answer: (E) 12 years Let ages be 2x and 3x. (2x + 6)/(3x + 6) gives x = 4, so B = 12 years.
Question 16

The present ages of A and B are in the ratio 4 : 5. After 6 years, the ratio of their ages will be 19 : 23. What is the present age of B?

  1. A35 years
  2. B40 years
  3. C32 years
  4. D46 years
  5. E45 years
Show answer
Answer: (B) 40 years Let ages be 4x and 5x. (4x + 6)/(5x + 6) gives x = 8, so B = 40 years.
Question 17

The present ages of A and B are in the ratio 3 : 5. After 8 years, the ratio of their ages will be 29 : 43. What is the present age of B?

  1. A43 years
  2. B35 years
  3. C21 years
  4. D30 years
  5. E40 years
Show answer
Answer: (B) 35 years Let ages be 3x and 5x. (3x + 8)/(5x + 8) gives x = 7, so B = 35 years.
Question 18

The present ages of A and B are in the ratio 4 : 5. After 6 years, the ratio of their ages will be 5 : 6. What is the present age of B?

  1. A35 years
  2. B30 years
  3. C24 years
  4. D36 years
  5. E25 years
Show answer
Answer: (B) 30 years Let ages be 4x and 5x. (4x + 6)/(5x + 6) gives x = 6, so B = 30 years.
Question 19

The present ages of A and B are in the ratio 3 : 5. After 6 years, the ratio of their ages will be 21 : 31. What is the present age of B?

  1. A31 years
  2. B25 years
  3. C30 years
  4. D15 years
  5. E20 years
Show answer
Answer: (B) 25 years Let ages be 3x and 5x. (3x + 6)/(5x + 6) gives x = 5, so B = 25 years.

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