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SSC MTS Problems on Ages Questions with Answers & Explanations

16 Problems on Ages questions from the Session I: Numerical & Mathematical Ability section of SSC MTS, 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 5 : 6. After 4 years, the ratio of their ages will be 29 : 34. What is the present age of B?

  1. A30 years
  2. B34 years
  3. C36 years
  4. D25 years
Show answer
Answer: (A) 30 years Let ages be 5x and 6x. (5x + 4)/(6x + 4) gives x = 5, so B = 30 years.
Question 2

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. B24 years
  3. C12 years
  4. D16 years
Show answer
Answer: (D) 16 years Let ages be 3x and 4x. (3x + 8)/(4x + 8) gives x = 4, so B = 16 years.
Question 3

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 4

The present ages of A and B are in the ratio 4 : 5. After 8 years, the ratio of their ages will be 6 : 7. What is the present age of B?

  1. A25 years
  2. B20 years
  3. C28 years
  4. D16 years
Show answer
Answer: (B) 20 years Let ages be 4x and 5x. (4x + 8)/(5x + 8) gives x = 4, so B = 20 years.
Question 5

The present ages of A and B are in the ratio 2 : 3. After 4 years, the ratio of their ages will be 22 : 31. What is the present age of B?

  1. A24 years
  2. B27 years
  3. C31 years
  4. D30 years
Show answer
Answer: (B) 27 years Let ages be 2x and 3x. (2x + 4)/(3x + 4) gives x = 9, so B = 27 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. A36 years
  2. B44 years
  3. C30 years
  4. D42 years
Show answer
Answer: (A) 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 3 : 5. After 10 years, the ratio of their ages will be 37 : 55. What is the present age of B?

  1. A45 years
  2. B40 years
  3. C50 years
  4. D55 years
Show answer
Answer: (A) 45 years Let ages be 3x and 5x. (3x + 10)/(5x + 10) gives x = 9, so B = 45 years.
Question 8

The present ages of A and B are in the ratio 5 : 7. After 10 years, the ratio of their ages will be 25 : 33. What is the present age of B?

  1. A66 years
  2. B40 years
  3. C56 years
  4. D49 years
Show answer
Answer: (C) 56 years Let ages be 5x and 7x. (5x + 10)/(7x + 10) gives x = 8, so B = 56 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 13 : 16. What is the present age of B?

  1. A24 years
  2. B20 years
  3. C18 years
  4. D32 years
Show answer
Answer: (A) 24 years Let ages be 3x and 4x. (3x + 8)/(4x + 8) gives x = 6, so B = 24 years.
Question 10

The present ages of A and B are in the ratio 2 : 3. After 4 years, the ratio of their ages will be 8 : 11. What is the present age of B?

  1. A21 years
  2. B18 years
  3. C22 years
  4. D15 years
Show answer
Answer: (B) 18 years Let ages be 2x and 3x. (2x + 4)/(3x + 4) gives x = 6, so B = 18 years.

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Question 11

The present ages of A and B are in the ratio 3 : 5. After 10 years, the ratio of their ages will be 17 : 25. What is the present age of B?

  1. A50 years
  2. B24 years
  3. C45 years
  4. D40 years
Show answer
Answer: (D) 40 years Let ages be 3x and 5x. (3x + 10)/(5x + 10) gives x = 8, so B = 40 years.
Question 12

The present ages of A and B are in the ratio 4 : 5. After 6 years, the ratio of their ages will be 26 : 31. What is the present age of B?

  1. A20 years
  2. B30 years
  3. C31 years
  4. D25 years
Show answer
Answer: (D) 25 years Let ages be 4x and 5x. (4x + 6)/(5x + 6) gives x = 5, so B = 25 years.
Question 13

The present ages of A and B are in the ratio 5 : 7. After 4 years, the ratio of their ages will be 17 : 23. What is the present age of B?

  1. A35 years
  2. B42 years
  3. C30 years
  4. D46 years
Show answer
Answer: (B) 42 years Let ages be 5x and 7x. (5x + 4)/(7x + 4) gives x = 6, so B = 42 years.
Question 14

The present ages of A and B are in the ratio 2 : 3. After 5 years, the ratio of their ages will be 3 : 4. What is the present age of B?

  1. A15 years
  2. B18 years
  3. C12 years
  4. D20 years
Show answer
Answer: (A) 15 years Let ages be 2x and 3x. (2x + 5)/(3x + 5) gives x = 5, so B = 15 years.
Question 15

The present ages of A and B are in the ratio 3 : 4. After 5 years, the ratio of their ages will be 29 : 37. What is the present age of B?

  1. A37 years
  2. B32 years
  3. C28 years
  4. D36 years
Show answer
Answer: (B) 32 years Let ages be 3x and 4x. (3x + 5)/(4x + 5) gives x = 8, so B = 32 years.
Question 16

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. A21 years
  2. B30 years
  3. C35 years
  4. D40 years
Show answer
Answer: (C) 35 years Let ages be 3x and 5x. (3x + 8)/(5x + 8) gives x = 7, so B = 35 years.

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

More Session I: Numerical & Mathematical Ability topics

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