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SSC CHSL 2023 PYQ — Question 51

SSC CHSL 2023 - 02 Aug 2023 - Shift 4 • Quantitative Aptitude • Q51

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implify the given expression.

0.09×0.09+0.04×0.04+0.16×0.16+2×0.09×0.04+2×0.04×0.16+2×0.09×0.160.3×0.3+0.2×0.2+0.4×0.4\frac{0.09× 0.09+0.04×0.04+0.16×0.16+2×0.09×0.04+2×0.04×0.16+2×0.09×0.16}{0.3×0.3+0.2×0.2 +0.4×0.4}

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 0.29.

Given that

⇒ 0.09×0.09+0.04×0.04+0.16×0.16+2×0.09×0.04+2×0.04×0.16+2×0.09×0.160.3×0.3+0.2×0.2+0.4×0.4\frac{0.09× 0.09+0.04×0.04+0.16×0.16+2×0.09×0.04+2×0.04×0.16+2×0.09×0.16}{0.3×0.3+0.2×0.2 +0.4×0.4}

Formula used

(a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca)

⇒ (0.09+0.04+0.16)20.09+0.04+0.16\frac{(0.09 + 0.04 + 0.16)^2}{0.09+0.04 +0.16}

⇒ 0.09 + 0.04 + 0.16

⇒​​​​​​​ 0.29