Allied & ICAR Exam Bank • ALLIED_1591 MCQ • 1 Mark

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Ratios & Percentages

Question Statement:

Six years ago, the ratio of the ages of Kunal and Sagar was 6:5. Four years hence, the ratio of their ages will be 11:10. Sagar's present age is:

Options:

  • (A) 16 years
  • (B) 18 years
  • (C) 14 years
  • (D) 20 years

Answer Key:

A

Step-by-Step Solution & Explanation

6 years ago: $6x$ and $5x$. After 10 years (from 6 yrs ago to 4 yrs hence): $(6x + 10)/(5x + 10) = 11/10 \implies 60x + 100 = 55x + 110 \implies 5x = 10 \implies x = 2$. Sagar 6 yrs ago was $5(2) = 10$. Present age $= 10 + 6 = 16$ years.
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