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SSC CPO 2022 PYQ — Question 121

SSC CPO - 11 Nov 2022 - Shift 2 • Quantitative Aptitude • Q121

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What is the LCM of a3b−ab3,a^3b - ab^3, a3b2−a2b3,a^3b^2 - a^2b^3,  ab(a - b)?

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Correct answer: B

Explanation

The correct answer is Option 2 i.e. a2b2(a2 - b2)

a3b - ab3, a3b2 - a2b3, ab(a - b)

(a + b)(a - b) = (a2 - b2)

Let, x = a3b - ab3 = ab(a2 - b2) = ab(a - b)(a + b)

y = a3b2 - a2b3 = a2b2(a - b)

z = ab(a - b)

LCM = a2b2(a + b)(a - b) = a2b2(a2 - b2)