SSC Selection Post 2022 PYQ — Question 67

SSC Selection Post - Higher Secondary Level - 3 Aug 2022 - Shift 4 • Quantitative Aptitude • Q67

If x−1xx-1\over{x} = 5 , then the value of 1 + 1/x2 is:

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 17.

(x - 1)/x = 5

⇒ 1 - 1/x = 5

⇒ -1/x = 4

⇒ x = -1/4

⇒ x2 = 1/16

⇒ 1/x2 = 16

⇒ 1 + 1/x2 = 1 + 16 = 17