Allied & ICAR Exam Bank • ALLIED_2365 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

The values of $x$ and $y$ satisfy $2^x \times 3^y = 72$ and $2^y \times 3^x = 108$. The value of $x + y$ is:

Options:

  • (A) 5
  • (B) 4
  • (C) 6
  • (D) 7

Answer Key:

A

Step-by-Step Solution & Explanation

Multiply equations: $(2 \times 3)^{x+y} = 6^{x+y} = 72 \times 108 = 7776 = 6^5$. Thus $x + y = 5$.
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