Decimal simplification

CMAT 2020 · Quantitative Techniques & Data Interpretation · Easy · Simplification

Simplify the following: $\frac{0.3\times 0.3 + 0.03\times 0.03 - 0.6\times 0.03}{0.54}$

Answer

The numerator is of the form $a^2 + b^2 - 2ab = (a - b)^2$ , where $a = 0.3$ and $b = 0.03$ .

Numerator = $(0.3 - 0.03)^2 = (0.27)^2 = 0.0729$ .

Value = $\frac{0.0729}{0.54} = 0.135$ .

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