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SSC CGL 2022 PYQ — Question 70

SSC CGL - 03 Dec 2022 - Shift 2 • Quantitative Aptitude • Q70

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If X+1X=−2,X+{{1} \over X}=-2, then what is the value of X17 +X-17 + X12 + X-12  ? (x<0)

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Correct answer: D

Explanation

The correct answer is Option 4 i.e. 0.

Calculations:

If X = -1

then X + 1/X = - 2

⇒ X17 +X-17 + X12 + X-12 = (-1)17 +(-1)-17 + (-1)12 + (-1)-12 

⇒ -1 - 1 + 1 + 1 = -2 + 2 = 0