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SSC MTS 2026 PYQ — Question 12

SSC MTS - 6 Feb 2026 - Shift 3 • Quantitative Aptitude • Q12

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16+3+16−3=?\frac{1}{6+\sqrt{3}} + \frac{1}{6-\sqrt{3}} = ?

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Correct answer: C

Explanation

Given:

16+3+16−3\frac{1}{6+\sqrt{3}} + \frac{1}{6-\sqrt{3}}

Using the formula:

1/(a+b) + 1/(a−b) = (2a)/(a² − b²)

= (2×6) / (6² − (√3)²)

= 12 / (36 − 3)

= 12 / 33

= 4/11