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SSC MTS 2026 PYQ — Question 5

SSC MTS - 6 Feb 2026 - Shift 1 • Quantitative Aptitude • Q5

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18+7+18−7=  ?\frac{1}{8 + \sqrt{7}} + \frac{1}{8 - \sqrt{7}} = \; ?

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Correct answer: B

Explanation

Given:
18+7+18−7\frac{1}{8 + \sqrt{7}} + \frac{1}{8 - \sqrt{7}}

Using the formula:

1/(a+b) + 1/(a−b) = (2a)/(a² − b²)

= (2×8) / (8² − (√7)²)

= 16 / (64 − 7)

= 16 / 57