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SSC CHSL 2022 PYQ — Question 70

SSC CHSL - 26 May 2022 - Shift 1 • Quantitative Aptitude • Q70

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If 8rr2−8r+1=114\dfrac{8r}{r^2-8r+1}=\dfrac{1}{14}, then the value of (r+1r)(r + \dfrac{1}{r}) is

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 120

We can write the given equation as 

{r2 - 8r + 1}/8r = 14 ⇒ {(r + 1/r) - 8}/8 = 14 

⇒ r + 1/r - 8 = 112

⇒ r + 1/r = 120