SarkariPYQ

SSC Selection Post 2024 PYQ — Question 65

SSC Selection Post - Graduation Level - 21 June 2024 - Shift 3 • Quantitative Aptitude • Q65

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Simplify the following equation.

(8.25)3−3×(8.25)2×0.25+24.75×(0.25)2−(0.25)34×4×4{(8.25)^3 - 3 × (8.25)^2 × 0.25 + 24.75 × (0.25)^2 - ( 0.25)^3 \over 4×4×4}

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 8.

(8.25)3−3×(8.25)2×0.25+24.75×(0.25)2−(0.25)34×4×4{(8.25)^3 - 3 × (8.25)^2 × 0.25 + 24.75 × (0.25)^2 - ( 0.25)^3 \over 4×4×4}

=(8.25)3−3×(8.25)2×0.25+3×8.25×(0.25)2−(0.25)34×4×4={(8.25)^3 - 3 × (8.25)^2 × 0.25 + 3\times 8.25 × (0.25)^2 - ( 0.25)^3 \over 4×4×4}

= (8.25 - 0.25)3/64

= 512/64

= 8