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SSC CGL 2024 PYQ — Question 53

SSC CGL - 18 Sep 2024 - Shift 2 • Quantitative Aptitude • Q53

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Simplify.

(7.3)3−(4.7)3(7.3)2+7.3×4.7+(4.7)2(7.3)^3-(4.7)^3\over (7.3)^2+7.3×4.7+(4.7)^2

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 2.6.

⇒ (7.3)3−(4.7)3(7.3)2+7.3×4.7+(4.7)2(7.3)^3-(4.7)^3\over (7.3)^2+7.3×4.7+(4.7)^2

 ⇒(7.3−4.7)[(7.3)2+7.3×4.7+(4.7)2](7.3)2+7.3×4.7+(4.7)2(7.3 - 4.7)[(7.3)^2+7.3×4.7+(4.7)^2]\over (7.3)^2+7.3×4.7+(4.7)^2

 ⇒(7.3−4.7)(7.3 - 4.7)

 ⇒2.6