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SSC CPO 2024 PYQ — Question 119

SSC CPO - 27 June 2024 - Shift 3 • Quantitative Aptitude • Q119

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Simplify the following expression:

(525+175)2−(525−175)2(525×175) {{(525+175)^2-(525-175)^2} \over (525\times175)}

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Correct answer: B

Explanation

The correct answer is Option 2 i.e. 4.

Given that

(525+175)2−(525−175)2(525×175) {{(525+175)^2-(525-175)^2} \over (525\times175)}

Formula used

a2 - b2 = (a + b)(a - b)

Let a = 525 + 175 and b = 525 - 175 

Hence, (525+175+525−175)(525+175−525+175)525×175\frac{(525 + 175 + 525 -175)(525 + 175 - 525 + 175)}{525 × 175}  = (1050)(350)525×175\frac{(1050)(350)}{525×175}

⇒ 2 × 2 = 4