ABC26GN0769 · Decimal Fractions

Subject: General Aptitude · Chapter: Decimal Fractions · Exam: · Marks: · Difficulty:

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
Answer (as printed): B
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.

Open in whiteboard · Browse this chapter in the app