SarkariPYQ

SSC Selection Post 2024 PYQ — Question 75

SSC Selection Post - Graduation Level - 21 June 2024 - Shift 3 • Quantitative Aptitude • Q75

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Simplyfy the given expression (2.3)3+(15.9)3+(3.7)3−3×2.3×15.9×3.7(2.3)2+(15.9)2+(3.7)2−2.3×15.9−15.9×3.7−3.7×2.3(2.3)^3 + (15.9)^3 +(3.7)^3 - 3 × 2.3 × 15.9 × 3.7 \over (2.3)^2 + (15.9)^2 +(3.7)^2 -2.3 \times 15.9 -15.9 × 3.7 - 3.7 × 2.3.

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 21.9.

(2.3)3+(15.9)3+(3.7)3−3×2.3×15.9×3.7(2.3)2+(15.9)2+(3.7)2−2.3×15.9−15.9×3.7−3.7×2.3(2.3)^3 + (15.9)^3 +(3.7)^3 - 3 × 2.3 × 15.9 × 3.7 \over (2.3)^2 + (15.9)^2 +(3.7)^2 -2.3 \times 15.9 -15.9 × 3.7 - 3.7 × 2.3

=(2.3+15.9+3.7)[(2.3)2+(15.9)2+(3.7)2−2.3×15.9−15.9×3.7−3.7×2.3](2.3)2+(15.9)2+(3.7)2−2.3×15.9−15.9×3.7−3.7×2.3={(2.3+ 15.9 +3.7)[(2.3)^2 + (15.9)^2 +(3.7)^2 -2.3 \times 15.9 -15.9 × 3.7 - 3.7 × 2.3] \over (2.3)^2 + (15.9)^2 +(3.7)^2 -2.3 \times 15.9 -15.9 × 3.7 - 3.7 × 2.3}

= 2.3 + 15.9 + 3.7

= 21.9