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IBPS PO Problems on Ages Questions with Answers & Explanations

18 Problems on Ages questions from the Quantitative Aptitude section of IBPS PO, 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 8 years, the ratio of their ages will be 23 : 33. What is the present age of B?

  1. A15 years
  2. B33 years
  3. C25 years
  4. D30 years
  5. E20 years
Show answer
Answer: (C) 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 5 : 6. After 6 years, the ratio of their ages will be 41 : 48. What is the present age of B?

  1. A48 years
  2. B36 years
  3. C42 years
  4. D35 years
  5. ENone of these
Show answer
Answer: (C) 42 years Let ages be 5x and 6x. (5x + 6)/(6x + 6) gives x = 7, so B = 42 years.
Question 3

The present ages of A and B are in the ratio 3 : 4. After 5 years, the ratio of their ages will be 32 : 41. What is the present age of B?

  1. A27 years
  2. B36 years
  3. C32 years
  4. D40 years
  5. E41 years
Show answer
Answer: (B) 36 years Let ages be 3x and 4x. (3x + 5)/(4x + 5) gives x = 9, so B = 36 years.
Question 4

The present ages of A and B are in the ratio 3 : 4. After 6 years, the ratio of their ages will be 11 : 14. What is the present age of B?

  1. A42 years
  2. B27 years
  3. C36 years
  4. D32 years
  5. E40 years
Show answer
Answer: (C) 36 years Let ages be 3x and 4x. (3x + 6)/(4x + 6) gives x = 9, so B = 36 years.
Question 5

The present ages of A and B are in the ratio 5 : 7. After 6 years, the ratio of their ages will be 17 : 23. What is the present age of B?

  1. A70 years
  2. B45 years
  3. C63 years
  4. D56 years
  5. E69 years
Show answer
Answer: (C) 63 years Let ages be 5x and 7x. (5x + 6)/(7x + 6) gives x = 9, so B = 63 years.
Question 6

The present ages of A and B are in the ratio 2 : 3. After 10 years, the ratio of their ages will be 4 : 5. What is the present age of B?

  1. A25 years
  2. B12 years
  3. C15 years
  4. D18 years
  5. E10 years
Show answer
Answer: (C) 15 years Let ages be 2x and 3x. (2x + 10)/(3x + 10) gives x = 5, so B = 15 years.
Question 7

The present ages of A and B are in the ratio 5 : 7. After 6 years, the ratio of their ages will be 3 : 4. What is the present age of B?

  1. A35 years
  2. B42 years
  3. C49 years
  4. D48 years
  5. E30 years
Show answer
Answer: (B) 42 years Let ages be 5x and 7x. (5x + 6)/(7x + 6) gives x = 6, so B = 42 years.
Question 8

The present ages of A and B are in the ratio 5 : 7. After 6 years, the ratio of their ages will be 13 : 17. What is the present age of B?

  1. A28 years
  2. B35 years
  3. C20 years
  4. D21 years
  5. E34 years
Show answer
Answer: (A) 28 years Let ages be 5x and 7x. (5x + 6)/(7x + 6) gives x = 4, so B = 28 years.
Question 9

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. A15 years
  2. B18 years
  3. C12 years
  4. D21 years
  5. E22 years
Show answer
Answer: (B) 18 years Let ages be 2x and 3x. (2x + 4)/(3x + 4) gives x = 6, so B = 18 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. A18 years
  2. B21 years
  3. C29 years
  4. D24 years
  5. E14 years
Show answer
Answer: (B) 21 years Let ages be 2x and 3x. (2x + 8)/(3x + 8) gives x = 7, so B = 21 years.

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Question 11

The present ages of A and B are in the ratio 5 : 6. After 5 years, the ratio of their ages will be 50 : 59. What is the present age of B?

  1. A45 years
  2. B54 years
  3. C59 years
  4. D60 years
  5. E48 years
Show answer
Answer: (B) 54 years Let ages be 5x and 6x. (5x + 5)/(6x + 5) gives x = 9, so B = 54 years.
Question 12

The present ages of A and B are in the ratio 3 : 4. After 10 years, the ratio of their ages will be 5 : 6. What is the present age of B?

  1. A30 years
  2. B15 years
  3. C20 years
  4. D16 years
  5. E24 years
Show answer
Answer: (C) 20 years Let ages be 3x and 4x. (3x + 10)/(4x + 10) gives x = 5, so B = 20 years.
Question 13

The present ages of A and B are in the ratio 3 : 5. After 10 years, the ratio of their ages will be 31 : 45. What is the present age of B?

  1. A45 years
  2. B40 years
  3. C35 years
  4. D21 years
  5. E30 years
Show answer
Answer: (C) 35 years Let ages be 3x and 5x. (3x + 10)/(5x + 10) gives x = 7, so B = 35 years.
Question 14

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. B62 years
  3. C63 years
  4. D40 years
  5. E49 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 15

The present ages of A and B are in the ratio 5 : 6. After 6 years, the ratio of their ages will be 31 : 36. What is the present age of B?

  1. A24 years
  2. B25 years
  3. C36 years
  4. D30 years
  5. ENone of these
Show answer
Answer: (D) 30 years Let ages be 5x and 6x. (5x + 6)/(6x + 6) gives x = 5, so B = 30 years.
Question 16

The present ages of A and B are in the ratio 4 : 5. After 10 years, the ratio of their ages will be 6 : 7. What is the present age of B?

  1. A35 years
  2. B25 years
  3. C30 years
  4. D20 years
  5. ENone of these
Show answer
Answer: (B) 25 years Let ages be 4x and 5x. (4x + 10)/(5x + 10) gives x = 5, so B = 25 years.
Question 17

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

  1. A45 years
  2. B40 years
  3. C48 years
  4. D32 years
  5. E35 years
Show answer
Answer: (B) 40 years Let ages be 4x and 5x. (4x + 8)/(5x + 8) gives x = 8, so B = 40 years.
Question 18

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. A20 years
  2. B28 years
  3. C24 years
  4. D18 years
  5. E32 years
Show answer
Answer: (C) 24 years Let ages be 3x and 4x. (3x + 8)/(4x + 8) gives x = 6, so B = 24 years.

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