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SSC Selection Post 2022 PYQ — Question 53

SSC Selection Post - Higher Secondary Level 2022 - 16 March 2022 - Shift 3 • Quantitative Aptitude • Q53

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The value of 0.49−0.7×0.9+0.810.729+0.343{{0.49-0.7×0.9+ 0.81} \over 0.729+0.343}  is :

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 58{{5} \over 8} .

Given 0.49−0.7×0.9+0.810.729+0.343{{0.49-0.7×0.9+ 0.81} \over 0.729+0.343}

⇒ 0.72−0.7×0.9+0.920.93+0.73\frac{0.7^2 - 0.7 \times 0.9 + 0.9^2}{0.9^3 + 0.7^3}

⇒ 0.72−0.7×0.9+0.92(0.9+0.7)(0.72−0.7×0.9+0.92)\frac{0.7^2 - 0.7 \times 0.9 + 0.9^2}{(0.9 + 0.7)(0.7^2 - 0.7 \times 0.9 + 0.9^2)}

⇒ 11.61 \over 1.6 = 58{{5} \over 8}