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SSC CGL 2025 PYQ — Question 73

SSC CGL - 12 Sep 2025 - Shift 3 • Quantitative Aptitude • Q73

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Simplify: (15+2)+(15−2)−(1025−2)\left(\frac{1}{5+\sqrt{2}}\right)+\left(\frac{1}{5-\sqrt{2}}\right)-\left(\frac{10}{25-2}\right)

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 0.

Given, (15+2)+(15−2)\left(\frac{1}{5+\sqrt{2}}\right)+\left(\frac{1}{5-\sqrt{2}}\right)

⇒ 5−2+5+225−2\frac{5 - \sqrt{2} + 5 + \sqrt{2}}{25 - 2} = 10/23

Now, 10/23 - 10/23 = 0