Allied & ICAR Exam Bank • ALLIED_2386 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Ratios & Percentages

Question Statement:

The ratio of the ages of a man and his wife at marriage was 4:3. After 10 years, they have two children aged 3 and 7, and the average age of the family of four is 18 years. The age of the man at the time of marriage was:

Options:

  • (A) 24 years
  • (B) 28 years
  • (C) 20 years
  • (D) 32 years

Answer Key:

A

Step-by-Step Solution & Explanation

Present total of 4 members $= 4 \times 18 = 72$. Children's ages $= 3 + 7 = 10$. Parents' present total $= 72 - 10 = 62$. Total at marriage $= 62 - 20 = 42$. Ratio $4:3 \implies 4x + 3x = 42 \implies x = 6$. Man's age at marriage $= 4 \times 6 = 24$ years.
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