ABC26GN0784 · Decimal Fractions

Subject: General Aptitude · Chapter: Decimal Fractions · Exam: 2005 · Marks: · Difficulty:

$\frac{(0.013)^{3}+0.000000343}{(0.013)^{2}-0.000091+0.000049}=$ ?

(a)0.002

(b)0.020

(c)0.021

(d)0.023

(e)None of these

Answer

Answer (as printed): B

Explanation

Given expression $=\frac{(0.013)^{3}+(0.007)^{3}}{(0.013)^{2}-(0.013 \times 0.007)+(0.007)^{2}}$ $$\begin{aligned} & =\left(\frac{a^{3}+b^{3}}{a^{2}-a b+b^{2}}\right) \\ & =a+b=0.013+0.007=0.020 . \end{aligned}$$

Explanation as extracted from the printed page; notation may be imperfect.

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