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SSC MTS 2026 PYQ — Question 11

SSC MTS - 10 Feb 2026 - Shift 3 • Quantitative Aptitude • Q11

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32+16218=?\frac{\sqrt{32} + \sqrt{162}}{\sqrt{18}} = ?

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Correct answer: A

Explanation

Given:

(√32 + √162) / √18

According to the formula:

√a × √b = √(ab)

√32 = √(16×2) = 4√2

√162 = √(81×2) = 9√2

⇒ (4√2 + 9√2) / √18

= 13√2 / √18

√18 = √(9×2) = 3√2

13√2 / 3√2 = 13/3