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SSC Selection Post 2025 PYQ — Question 34

SSC Selection Post - Higher Secondary Level - 30th July 2025 - Shift 2 • Quantitative Aptitude • Q34

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If x = (√5 + √3)/(√5 − √3) + (√5 − √3)/(√5 + √3), then the value of x is:

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Correct answer: D

Explanation

Let a = √5 and b = √3

x = (a + b)/(a − b) + (a − b)/(a + b)

= [ (a + b)² + (a − b)² ] / (a² − b²)

= [ 2a² + 2b² ] / (a² − b²)

= 2(5 + 3) / (5 − 3)

= 16 / 2

= 8