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SSC CHSL 2023 PYQ — Question 70

SSC CHSL - 09 Aug 2023 - Shift 2 • Quantitative Aptitude • Q70

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Simplify the given expression
0.24×0.24×0.24−0.0080.24×0.24+0.048+0.04\frac{0.24×0.24×0.24-0.008 }{0.24×0.24+0.048+0.04}

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 0.04.

0.24×0.24×0.24−0.0080.24×0.24+0.048+0.04\frac{0.24×0.24×0.24-0.008 }{0.24×0.24+0.048+0.04}

=0.243−0.230.242+0.24×0.2+0.22=\frac{0.24^3-0.2^3}{0.24^2+0.24\times 0.2+0.2^2}

=(0.24−0.2)(0.242+0.24×0.2+0.22)0.242+0.24×0.2+0.22=\frac{(0.24-0.2)(0.24^2+0.24\times 0.2+0.2^2)}{0.24^2+0.24\times 0.2+0.2^2}

= 0.24 - 0.2

= 0.04

Therefore, the simplified expression is 0.04.