Problems on Ages

SSC CGL · Quantitative Aptitude · 12 practice questions with answers and explanations: 2 Easy, 6 Medium, 4 Hard.

Sample questions

Sample Easy question 1

The ages of A and B are in the ratio 3 : 5 and their sum is 40 years. Find A's age.

  1. 15
  2. 20
  3. 12
  4. 25
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Answer: A. A = 3/8 × 40 = 15 years.

Sample Medium question 2

The average age of 5 students is 12 years. When the teacher's age is included, the average becomes 14 years. Find the teacher's age.

  1. 28
  2. 24
  3. 26
  4. 30
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Answer: B. Total with teacher = 6 × 14 = 84; students' total = 5 × 12 = 60. Teacher = 84 − 60 = 24.

Sample Hard question 3

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.

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