The simplification of (0.2 × 0.2+0.02 × 0.02-0.4 × 0.02)/0.36 gives · ABC26GN0769
Subject: General Aptitude · Chapter: Decimal Fractions
The simplification of $\frac{0.2 \times 0.2+0.02 \times 0.02-0.4 \times 0.02}{0.36}$ gives
(a)0.009
(b)0.09
(c)0.9
(d)9
Answer
Explanation
$0.2\times0.2+0.02\times0.02-0.4\times0.02 = 0.2\times0.2+0.02\times0.02-2\times0.2\times0.02 = a^2+b^2-2ab = (a-b)^2 = (0.2-0.02)^2 = (0.18)^2$. Given expression $=\frac{0.18\times0.18}{0.36}=0.09$.
Explanation as extracted from the printed page; notation may be imperfect.
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