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SSC CGL 2023 PYQ — Question 69

SSC CGL - 25 July 2023 - Shift 3 • Quantitative Aptitude • Q69

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If (y + 1y\frac{1}{y}) = 4, find the value of (y6 + 1y6\frac{1}{y^6}).

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 2702.

Given,  y + 1y\frac{1}{y} = 4

 ⇒ y2 + 1y2\frac{1}{y2} = (4)2 - 2 = 14

Now, (y2)3 + (1y2\frac{1}{y2})3 = (14)3 - 3(14)

Hence, (y6 + 1y6\frac{1}{y^6}) = 2702