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SSC CGL 2024 PYQ — Question 74

SSC CGL - 17 Sep 2024 - Shift 3 • Quantitative Aptitude • Q74

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If x is an integer such that x + 1x1\over x = 65865\over 8 , then find the value of x – 1x1\over x.

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 63863\over 8.

x + 1/x = 65/8

⇒ x - 1/x = √[(65/8)2 - 4]

= √[(4225/64) - 4]

= √(3969/64)

= 63/8

Therefore, the value of x - 1/x is 63/8.