Allied & ICAR Exam Bank • ALLIED_2203 NAT • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

If $x + \frac{1}{x} = \sqrt{5}$, the value of $x^4 + \frac{1}{x^4}$ is:

Answer Key:

7

Step-by-Step Solution & Explanation

$x^2 + 1/x^2 = 5 - 2 = 3$. $x^4 + 1/x^4 = 3^2 - 2 = 7$.
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