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DRDO CEPTAM Problems on Ages Questions with Answers & Explanations

18 Problems on Ages questions from the Quantitative Ability section of DRDO CEPTAM, 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.

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Question 1

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

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

The present ages of A and B are in the ratio 5 : 7. After 10 years, the ratio of their ages will be 55 : 73. What is the present age of B?

  1. A63 years
  2. B45 years
  3. C70 years
  4. D73 years
Show answer
Answer: (A) 63 years Let ages be 5x and 7x. (5x + 10)/(7x + 10) gives x = 9, so B = 63 years.
Question 3

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

  1. A15 years
  2. B16 years
  3. C24 years
  4. D20 years
Show answer
Answer: (D) 20 years Let ages be 4x and 5x. (4x + 4)/(5x + 4) gives x = 4, so B = 20 years.
Question 4

The present ages of A and B are in the ratio 3 : 5. After 5 years, the ratio of their ages will be 16 : 25. What is the present age of B?

  1. A45 years
  2. B50 years
  3. C27 years
  4. D40 years
Show answer
Answer: (A) 45 years Let ages be 3x and 5x. (3x + 5)/(5x + 5) gives x = 9, so B = 45 years.
Question 5

The present ages of A and B are in the ratio 4 : 5. After 5 years, the ratio of their ages will be 41 : 50. What is the present age of B?

  1. A40 years
  2. B50 years
  3. C36 years
  4. D45 years
Show answer
Answer: (D) 45 years Let ages be 4x and 5x. (4x + 5)/(5x + 5) gives x = 9, so B = 45 years.
Question 6

The present ages of A and B are in the ratio 5 : 7. After 6 years, the ratio of their ages will be 41 : 55. What is the present age of B?

  1. A55 years
  2. B49 years
  3. C56 years
  4. D42 years
Show answer
Answer: (B) 49 years Let ages be 5x and 7x. (5x + 6)/(7x + 6) gives x = 7, so B = 49 years.
Question 7

The present ages of A and B are in the ratio 5 : 6. After 10 years, the ratio of their ages will be 20 : 23. What is the present age of B?

  1. A36 years
  2. B30 years
  3. C42 years
  4. D46 years
Show answer
Answer: (A) 36 years Let ages be 5x and 6x. (5x + 10)/(6x + 10) gives x = 6, so B = 36 years.
Question 8

The present ages of A and B are in the ratio 5 : 6. After 5 years, the ratio of their ages will be 45 : 53. What is the present age of B?

  1. A40 years
  2. B54 years
  3. C48 years
  4. D53 years
Show answer
Answer: (C) 48 years Let ages be 5x and 6x. (5x + 5)/(6x + 5) gives x = 8, so B = 48 years.
Question 9

The present ages of A and B are in the ratio 3 : 4. After 6 years, the ratio of their ages will be 21 : 26. What is the present age of B?

  1. A15 years
  2. B16 years
  3. C20 years
  4. D26 years
Show answer
Answer: (C) 20 years Let ages be 3x and 4x. (3x + 6)/(4x + 6) gives x = 5, so B = 20 years.
Question 10

The present ages of A and B are in the ratio 5 : 6. After 5 years, the ratio of their ages will be 35 : 41. What is the present age of B?

  1. A42 years
  2. B41 years
  3. C30 years
  4. D36 years
Show answer
Answer: (D) 36 years Let ages be 5x and 6x. (5x + 5)/(6x + 5) gives x = 6, so B = 36 years.

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Question 11

The present ages of A and B are in the ratio 5 : 6. After 8 years, the ratio of their ages will be 43 : 50. What is the present age of B?

  1. A42 years
  2. B50 years
  3. C35 years
  4. D36 years
Show answer
Answer: (A) 42 years Let ages be 5x and 6x. (5x + 8)/(6x + 8) gives x = 7, so B = 42 years.
Question 12

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. A40 years
  2. B24 years
  3. C45 years
  4. D35 years
Show answer
Answer: (A) 40 years Let ages be 3x and 5x. (3x + 5)/(5x + 5) gives x = 8, so B = 40 years.
Question 13

The present ages of A and B are in the ratio 3 : 4. After 8 years, the ratio of their ages will be 13 : 16. What is the present age of B?

  1. A18 years
  2. B24 years
  3. C32 years
  4. D20 years
Show answer
Answer: (B) 24 years Let ages be 3x and 4x. (3x + 8)/(4x + 8) gives x = 6, so B = 24 years.
Question 14

The present ages of A and B are in the ratio 5 : 7. After 8 years, the ratio of their ages will be 7 : 9. What is the present age of B?

  1. A28 years
  2. B35 years
  3. C36 years
  4. D20 years
Show answer
Answer: (A) 28 years Let ages be 5x and 7x. (5x + 8)/(7x + 8) gives x = 4, so B = 28 years.
Question 15

The present ages of A and B are in the ratio 3 : 4. After 10 years, the ratio of their ages will be 11 : 13. What is the present age of B?

  1. A26 years
  2. B20 years
  3. C12 years
  4. D16 years
Show answer
Answer: (D) 16 years Let ages be 3x and 4x. (3x + 10)/(4x + 10) gives x = 4, so B = 16 years.
Question 16

The present ages of A and B are in the ratio 2 : 3. After 5 years, the ratio of their ages will be 19 : 26. What is the present age of B?

  1. A21 years
  2. B18 years
  3. C26 years
  4. D14 years
Show answer
Answer: (A) 21 years Let ages be 2x and 3x. (2x + 5)/(3x + 5) gives x = 7, so B = 21 years.
Question 17

The present ages of A and B are in the ratio 3 : 5. After 5 years, the ratio of their ages will be 2 : 3. What is the present age of B?

  1. A20 years
  2. B30 years
  3. C15 years
  4. D25 years
Show answer
Answer: (D) 25 years Let ages be 3x and 5x. (3x + 5)/(5x + 5) gives x = 5, so B = 25 years.
Question 18

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

  1. A36 years
  2. B30 years
  3. C24 years
  4. D25 years
Show answer
Answer: (B) 30 years Let ages be 5x and 6x. (5x + 5)/(6x + 5) gives x = 5, so B = 30 years.

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