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CDS Problems on Ages Questions with Answers & Explanations

17 Problems on Ages questions from the Elementary Mathematics section of CDS, 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 : 5. After 4 years, the ratio of their ages will be 25 : 39. What is the present age of B?

  1. A35 years
  2. B40 years
  3. C39 years
  4. D21 years
Show answer
Answer: (A) 35 years Let ages be 3x and 5x. (3x + 4)/(5x + 4) gives x = 7, so B = 35 years.
Question 2

The present ages of A and B are in the ratio 2 : 3. After 10 years, the ratio of their ages will be 24 : 31. What is the present age of B?

  1. A31 years
  2. B14 years
  3. C18 years
  4. D21 years
Show answer
Answer: (D) 21 years Let ages be 2x and 3x. (2x + 10)/(3x + 10) gives x = 7, so B = 21 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. A25 years
  2. B24 years
  3. C15 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 : 4. After 5 years, the ratio of their ages will be 4 : 5. What is the present age of B?

  1. A24 years
  2. B16 years
  3. C15 years
  4. D20 years
Show answer
Answer: (D) 20 years Let ages be 3x and 4x. (3x + 5)/(4x + 5) gives x = 5, so B = 20 years.
Question 5

The present ages of A and B are in the ratio 3 : 5. After 8 years, the ratio of their ages will be 2 : 3. What is the present age of B?

  1. A40 years
  2. B48 years
  3. C35 years
  4. D24 years
Show answer
Answer: (A) 40 years Let ages be 3x and 5x. (3x + 8)/(5x + 8) gives x = 8, so B = 40 years.
Question 6

The present ages of A and B are in the ratio 5 : 6. After 8 years, the ratio of their ages will be 19 : 22. What is the present age of B?

  1. A30 years
  2. B36 years
  3. C44 years
  4. D42 years
Show answer
Answer: (B) 36 years Let ages be 5x and 6x. (5x + 8)/(6x + 8) gives x = 6, so B = 36 years.
Question 7

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. A30 years
  2. B25 years
  3. C36 years
  4. D35 years
Show answer
Answer: (A) 30 years Let ages be 4x and 5x. (4x + 6)/(5x + 6) gives x = 6, so B = 30 years.
Question 8

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. A25 years
  2. B33 years
  3. C30 years
  4. D15 years
Show answer
Answer: (A) 25 years Let ages be 3x and 5x. (3x + 8)/(5x + 8) gives x = 5, so B = 25 years.
Question 9

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. D40 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 10

The present ages of A and B are in the ratio 2 : 3. After 8 years, the ratio of their ages will be 22 : 29. What is the present age of B?

  1. A24 years
  2. B18 years
  3. C21 years
  4. D29 years
Show answer
Answer: (C) 21 years Let ages be 2x and 3x. (2x + 8)/(3x + 8) gives x = 7, so B = 21 years.
Question 11

The present ages of A and B are in the ratio 5 : 7. After 8 years, the ratio of their ages will be 19 : 25. What is the present age of B?

  1. A42 years
  2. B49 years
  3. C50 years
  4. D30 years
Show answer
Answer: (A) 42 years Let ages be 5x and 7x. (5x + 8)/(7x + 8) gives x = 6, so B = 42 years.
Question 12

The present ages of A and B are in the ratio 2 : 3. After 6 years, the ratio of their ages will be 16 : 21. What is the present age of B?

  1. A18 years
  2. B21 years
  3. C15 years
  4. D12 years
Show answer
Answer: (C) 15 years Let ages be 2x and 3x. (2x + 6)/(3x + 6) gives x = 5, so B = 15 years.
Question 13

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 14

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

  1. A29 years
  2. B30 years
  3. C18 years
  4. D24 years
Show answer
Answer: (D) 24 years Let ages be 5x and 6x. (5x + 5)/(6x + 5) gives x = 4, so B = 24 years.
Question 15

The present ages of A and B are in the ratio 5 : 7. After 6 years, the ratio of their ages will be 23 : 31. What is the present age of B?

  1. A56 years
  2. B40 years
  3. C49 years
  4. D62 years
Show answer
Answer: (A) 56 years Let ages be 5x and 7x. (5x + 6)/(7x + 6) gives x = 8, so B = 56 years.
Question 16

The present ages of A and B are in the ratio 4 : 5. After 5 years, the ratio of their ages will be 37 : 45. What is the present age of B?

  1. A45 years
  2. B35 years
  3. C40 years
  4. D32 years
Show answer
Answer: (C) 40 years Let ages be 4x and 5x. (4x + 5)/(5x + 5) gives x = 8, so B = 40 years.
Question 17

The present ages of A and B are in the ratio 5 : 6. After 10 years, the ratio of their ages will be 15 : 17. What is the present age of B?

  1. A24 years
  2. B34 years
  3. C30 years
  4. D18 years
Show answer
Answer: (A) 24 years Let ages be 5x and 6x. (5x + 10)/(6x + 10) gives x = 4, so B = 24 years.

These are RankerClub practice questions written in the CDS pattern. They are not official SSC/IBPS/RRB papers.

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