SarkariPYQ

SSC CPO 2022 PYQ — Question 124

SSC CPO - 9 Nov 2022 - Shift 3 • Quantitative Aptitude • Q124

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The value of {(m2+n2)(m−n)−(m−n)3}(m2n−mn2)\frac{\{(m^2 + n^2)(m-n)-(m-n)^3\}}{(m^2 n - mn^2)} is:

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Correct answer: C

Explanation

The correct answer is Option 3 i.e. 2.

 The value of {(m2+n2)(m−n)−(m−n)3}(m2n−mn2)\frac{\{(m^2 + n^2)(m-n)-(m-n)^3\}}{(m^2 n - mn^2)} 

⇒ {(m2+n2)(m−n)−(m−n)3}(m2n−mn2)\frac{\{(m^2 + n^2)(m-n)-(m-n)^3\}}{(m^2 n - mn^2)}

⇒ (m−n)[(m2+n2)−(m−n)2]mn(m−n)\frac{(m-n)[(m^2 + n^2)-(m-n)^2]}{mn(m - n)}

⇒ [(m2+n2)−(m−n)2]mn\frac{[(m^2 + n^2)-(m-n)^2]}{mn }

⇒ [m2+n2−m2−n2+2mn]mn\frac{[m^2 + n^2-m^2-n^2 +2mn]}{mn}

⇒ 2mn/mn = 2