Problems on Ages

LSSSSB Non-Technical · 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

A father is 4 times as old as the son. Their present ages add up to 75 years. What is the son's present age (in years)?

  1. 18
  2. 15
  3. 60
  4. 19
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Answer: B. Let son = x; 4x + x = 75, so x = 15.

Sample Medium question 5

The average age of 3 friends is 18 years. A new friend aged 39 years joins the group. What is the new average age (in years, to one decimal place if needed)?

  1. 18
  2. 28.5
  3. 23.2
  4. 31
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Answer: C. New average = (3×18 + 39)/4 = 23.2 years.

Sample Medium question 6

The present ages of two brothers are 30 and 42 years. What will be the ratio of their ages after 2 years?

  1. 8 : 11
  2. 5 : 7
  3. 11 : 8
  4. 7 : 10
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Answer: A. After 2 years the ages are 32 and 44, a ratio of 8 : 11.

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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