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SSC CGL 2024 PYQ — Question 74

SSC CGL - 11 Sep 2024 Shift 2 • Quantitative Aptitude • Q74

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Simplify: (4.2)3 − (1.2)3(4.2)2 + 5.04 + (1.2)2{(4.2)^3\ -\ (1.2)^3}\over (4.2)^2\ +\ 5.04\ +\ (1.2)^2

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Correct answer: B

Explanation

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

(4.2)3 − (1.2)3(4.2)2 + 5.04 + (1.2)2{(4.2)^3\ -\ (1.2)^3}\over (4.2)^2\ +\ 5.04\ +\ (1.2)^2

[(a3 - b3) = (a - b)(a2 + b2 + ab)]

⇒ (4.2−1.2)((4.2)2+(1.2)2+5.04)(4.2)2 + 5.04 + (1.2)2{(4.2 - 1.2)((4.2)^2+(1.2)^2+5.04)}\over (4.2)^2\ +\ 5.04\ +\ (1.2)^2

⇒ 4.2 - 1.2 = 3