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SSC Selection Post 2022 PYQ — Question 66

SSC Selection Post - Graduation Level - 5 Aug 2022 - Shift 3 • Quantitative Aptitude • Q66

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If y+1y=5y + {1 \over y} = { \sqrt5}, then the value of y6+1y6y^6 + {1 \over y^6}  is:

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 18.

y + 1/y = √5

⇒ y2 + 1/y2 = (√5)2 - 2 = 3

⇒ y6 + 1/y6 = (3)3 - 3(3) = 18