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NIC UIIC AO Problems on Ages Questions with Answers & Explanations

20 Problems on Ages questions from the Quantitative Aptitude section of NIC UIIC AO, 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 : 7. After 10 years, the ratio of their ages will be 45 : 59. What is the present age of B?

  1. A49 years
  2. B42 years
  3. C56 years
  4. D35 years
  5. E59 years
Show answer
Answer: (A) 49 years Let ages be 5x and 7x. (5x + 10)/(7x + 10) gives x = 7, so B = 49 years.
Question 2

The present ages of A and B are in the ratio 5 : 6. After 4 years, the ratio of their ages will be 11 : 13. What is the present age of B?

  1. A40 years
  2. B48 years
  3. C54 years
  4. D52 years
  5. E42 years
Show answer
Answer: (B) 48 years Let ages be 5x and 6x. (5x + 4)/(6x + 4) gives x = 8, so B = 48 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 10 : 13. What is the present age of B?

  1. A21 years
  2. B26 years
  3. C12 years
  4. D15 years
  5. E18 years
Show answer
Answer: (E) 18 years Let ages be 2x and 3x. (2x + 8)/(3x + 8) gives x = 6, so B = 18 years.
Question 4

The present ages of A and B are in the ratio 3 : 4. After 10 years, the ratio of their ages will be 14 : 17. What is the present age of B?

  1. A28 years
  2. B18 years
  3. C20 years
  4. D34 years
  5. E24 years
Show answer
Answer: (E) 24 years Let ages be 3x and 4x. (3x + 10)/(4x + 10) gives x = 6, so B = 24 years.
Question 5

The present ages of A and B are in the ratio 4 : 5. After 10 years, the ratio of their ages will be 17 : 20. What is the present age of B?

  1. A35 years
  2. B25 years
  3. C40 years
  4. D24 years
  5. E30 years
Show answer
Answer: (E) 30 years Let ages be 4x and 5x. (4x + 10)/(5x + 10) gives x = 6, so B = 30 years.
Question 6

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. A36 years
  2. B21 years
  3. C28 years
  4. D20 years
  5. E35 years
Show answer
Answer: (C) 28 years Let ages be 5x and 7x. (5x + 8)/(7x + 8) gives x = 4, so B = 28 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 13 : 17. What is the present age of B?

  1. A28 years
  2. B34 years
  3. C20 years
  4. D21 years
  5. E35 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 8

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. A32 years
  2. B41 years
  3. C27 years
  4. D36 years
  5. E40 years
Show answer
Answer: (D) 36 years Let ages be 3x and 4x. (3x + 5)/(4x + 5) gives x = 9, so B = 36 years.
Question 9

The present ages of A and B are in the ratio 4 : 5. After 8 years, the ratio of their ages will be 28 : 33. What is the present age of B?

  1. A20 years
  2. B25 years
  3. C30 years
  4. D33 years
  5. ENone of these
Show answer
Answer: (B) 25 years Let ages be 4x and 5x. (4x + 8)/(5x + 8) gives x = 5, so B = 25 years.
Question 10

The present ages of A and B are in the ratio 4 : 5. After 4 years, the ratio of their ages will be 24 : 29. What is the present age of B?

  1. A29 years
  2. B20 years
  3. C25 years
  4. D30 years
  5. ENone of these
Show answer
Answer: (C) 25 years Let ages be 4x and 5x. (4x + 4)/(5x + 4) gives x = 5, so B = 25 years.

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Question 11

The present ages of A and B are in the ratio 4 : 5. After 5 years, the ratio of their ages will be 33 : 40. What is the present age of B?

  1. A40 years
  2. B30 years
  3. C28 years
  4. D35 years
  5. ENone of these
Show answer
Answer: (D) 35 years Let ages be 4x and 5x. (4x + 5)/(5x + 5) gives x = 7, so B = 35 years.
Question 12

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. A44 years
  2. B42 years
  3. C36 years
  4. D30 years
  5. ENone of these
Show answer
Answer: (C) 36 years Let ages be 5x and 6x. (5x + 8)/(6x + 8) gives x = 6, so B = 36 years.
Question 13

The present ages of A and B are in the ratio 5 : 7. After 8 years, the ratio of their ages will be 43 : 57. What is the present age of B?

  1. A57 years
  2. B49 years
  3. C42 years
  4. D35 years
  5. E56 years
Show answer
Answer: (B) 49 years Let ages be 5x and 7x. (5x + 8)/(7x + 8) gives x = 7, so B = 49 years.
Question 14

The present ages of A and B are in the ratio 2 : 3. After 8 years, the ratio of their ages will be 4 : 5. What is the present age of B?

  1. A12 years
  2. B8 years
  3. C15 years
  4. D20 years
  5. E9 years
Show answer
Answer: (A) 12 years Let ages be 2x and 3x. (2x + 8)/(3x + 8) gives x = 4, so B = 12 years.
Question 15

The present ages of A and B are in the ratio 2 : 3. After 10 years, the ratio of their ages will be 13 : 17. What is the present age of B?

  1. A27 years
  2. B34 years
  3. C24 years
  4. D21 years
  5. E16 years
Show answer
Answer: (C) 24 years Let ages be 2x and 3x. (2x + 10)/(3x + 10) gives x = 8, so B = 24 years.
Question 16

The present ages of A and B are in the ratio 4 : 5. After 4 years, the ratio of their ages will be 40 : 49. What is the present age of B?

  1. A50 years
  2. B40 years
  3. C36 years
  4. D45 years
  5. E49 years
Show answer
Answer: (D) 45 years Let ages be 4x and 5x. (4x + 4)/(5x + 4) gives x = 9, so B = 45 years.
Question 17

The present ages of A and B are in the ratio 3 : 4. After 10 years, the ratio of their ages will be 31 : 38. What is the present age of B?

  1. A38 years
  2. B32 years
  3. C21 years
  4. D28 years
  5. E24 years
Show answer
Answer: (D) 28 years Let ages be 3x and 4x. (3x + 10)/(4x + 10) gives x = 7, so B = 28 years.
Question 18

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. A20 years
  2. B31 years
  3. C15 years
  4. D30 years
  5. E25 years
Show answer
Answer: (E) 25 years Let ages be 3x and 5x. (3x + 6)/(5x + 6) gives x = 5, so B = 25 years.
Question 19

The present ages of A and B are in the ratio 3 : 5. After 8 years, the ratio of their ages will be 13 : 19. What is the present age of B?

  1. A38 years
  2. B18 years
  3. C35 years
  4. D25 years
  5. E30 years
Show answer
Answer: (E) 30 years Let ages be 3x and 5x. (3x + 8)/(5x + 8) gives x = 6, so B = 30 years.
Question 20

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. A20 years
  2. B24 years
  3. C26 years
  4. D16 years
  5. E15 years
Show answer
Answer: (A) 20 years Let ages be 3x and 4x. (3x + 6)/(4x + 6) gives x = 5, so B = 20 years.

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

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