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SSC Selection Post 2024 PYQ — Question 75

SSC Selection Post - Higher Secondary Level - 25 June 2024 - Shift 2 • Quantitative Aptitude • Q75

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Simplify the given expression [1.5×1.5×1.5+2.7×2.7×2.7+4.8×4.8×4.8−3×1.5×2.7×4.8][1.5×1.5+2.7×2.7+4.8×4.8−1.5×2.7−2.7×4.8−4.8×1.5]{{[1.5×1.5×1.5+2.7×2.7×2.7+4.8×4.8×4.8-3×1.5×2.7×4.8]} \over [1.5×1.5+2.7×2.7+4.8×4.8-1.5×2.7-2.7×4.8-4.8×1.5]}

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Correct answer: B

Explanation

The correct answer is Option 2 i.e. 9.

(a³ + b³ + c³ − 3abc) / (a² + b² + c² − ab − bc − ca)

= (a + b + c)(a² + b² + c² − ab − bc − ca) / (a² + b² + c² − ab − bc − ca)

= (a + b + c) = 1.5 + 2.7 + 4.8 = 9