Problems on Ages

Ladakh Police Constable · Mathematics · 81 practice questions with answers and explanations: 43 Easy, 37 Medium, 1 Hard.

Sample questions

Sample Easy question 1

The ages of Neha and Ravi are in the ratio 2 : 3, and the difference between their ages is 8 years. What is Neha's age (in years)?

  1. 24
  2. 16
  3. 8
  4. 32
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Answer: B. One part = 8/1 = 8; Neha's age = 2 × 8 = 16 years.

Sample Easy question 2

Karan's present age is 18 years. What will it be after 13 years?

  1. 5
  2. 234
  3. 32
  4. 31
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Answer: D. 18 + 13 = 31 years.

Sample Easy question 3

Amit is 41 years old now. How old was this person 3 years ago?

  1. 38
  2. 43
  3. 39
  4. 44
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Answer: A. 41 − 3 = 38 years.

Sample Medium question 4

Ravi is half as old as Meena. In 6 years, Ravi's age will be two-thirds of Meena's age. Find Meena's present age.

  1. 12
  2. 14
  3. 18
  4. 10
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Answer: A. Let Meena = m, Ravi = m/2. m/2 + 6 = (2/3)(m + 6) → m/2 + 6 = 2m/3 + 4 → m/6 = 2 → m = 12.

Sample Medium question 5

The sum of the ages of a mother and her daughter is 45 years. Five years ago the mother was four times as old as the daughter. Find the mother's present age.

  1. 33
  2. 39
  3. 36
  4. 30
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Answer: A. m + d = 45 and m − 5 = 4(d − 5). So 45 − d − 5 = 4d − 20 → 5d = 60, d = 12 and m = 33.

Sample Medium question 6

The ages of Neha and Zoya are in the ratio 4 : 5, and the sum of their ages is 27 years. What is the age of Zoya (in years)?

  1. 15
  2. 18
  3. 12
  4. 22
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Answer: A. One part = 27/9 = 3; Zoya's age = 5 × 3 = 15 years.

Sample Hard question 7

Ten years ago a father was 12 times as old as his son; ten years from now he will be twice as old as his son. Find the son's present age.

  1. 14
  2. 15
  3. 10
  4. 12
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Answer: D. f − 10 = 12(s − 10) and f + 10 = 2(s + 10). Eliminating f: 12s − 110 = 2s + 10, so s = 12 (and f = 34).

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