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SSC CGL 2023 PYQ — Question 63

SSC CGL - 14 July 2023 - Shift 3 • Quantitative Aptitude • Q63

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If x + 1x\frac{1}{x} = 7, then the value of x6 + 1x\frac{1}{x}6  is:

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 103682

Given that

x + 1x\frac{1}{x} = 7,

Squaring both sides

x2 + 1/x2 = 49 - 2 = 47

Cubing both sides

⇒ x6 + 1/x6 + 3 (x2 + 1/x2) = 473 = 103823

⇒ x6 + 1/x6 + 3 × 47 = 103823

⇒ x6 + 1/x6 = 103682