Allied & ICAR Exam Bank • ALLIED_1726 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

If $x + \frac{1}{x} = 3$, the value of $x^3 + \frac{1}{x^3}$ is:

Options:

  • (A) 18
  • (B) 27
  • (C) 21
  • (D) 24

Answer Key:

A

Step-by-Step Solution & Explanation

$x^3 + 1/x^3 = (x + 1/x)^3 - 3(x + 1/x) = 27 - 3(3) = 18$.
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