ABC26GN0785 · Decimal Fractions

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

The value of $\frac{(2.3)^{3}-.027}{(2.3)^{2}+.69+.09}$ is
(a)0
(b)1.6
(c)2
(d)3.4
Answer
Answer (as printed): C
Explanation
Given expression $=\frac{(2.3)^{3}-(0.3)^{3}}{(2.3)^{2}+(2.3 \times 0.3)+(0.3)^{2}}$ $$\begin{aligned} & =\left(\frac{a^{3}-b^{3}}{a^{2}+a b+b^{2}}\right) \\ & =(a-b)=(2.3-0.3)=2 . \end{aligned}$$

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

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