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SSC CHSL 2023 PYQ — Question 72

SSC CHSL - 07 Aug 2023 - Shift 1 • Quantitative Aptitude • Q72

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If x + 1x\frac{1}{x} = 2 then find the value of x1823  +  1x1929\frac{1}{x^{1929}} .

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 2.

Given, x + 1x\frac{1}{x} = 2

⇒ x2 - 2x + 1 = 0

On solving this equation, x = 1

Now, the required answer =  x1823  +  1x1929\frac{1}{x^{1929}} 

⇒ 1 + 1 = 2