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SSC CGL 2023 PYQ — Question 74

SSC CGL - 25 July 2023 - Shift 4 • Quantitative Aptitude • Q74

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The mean proportional of (a + b)(a - b)3,(a + b)3(a - b) is:

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Correct answer: A

Explanation

The correct answer is option 1 i.e. (a + b)2 (a - b)2.

If the two numbers are a and b, mean proportional = ab\sqrt{ab}

Mean proportional = (a+b)(a−b)3×(a+b)3(a−b)\sqrt{(a + b)(a - b)^3\times(a + b)^3(a - b)}

⇒ (a−b)4×(a+b)4\sqrt{(a - b)^4\times(a + b)^4} = (a + b)2 (a - b)2