The value of ((0.943 × 0.943-0.943 × 0.057+0.057 × 0.057)/(0.943 × 0.943 × 0.943+0.057 × 0.057 × 0.057)) is · ABC26GN0779

Subject: General Aptitude · Chapter: Decimal Fractions · Exam: M.B.A. 2005

The value of $\left(\frac{0.943 \times 0.943-0.943 \times 0.057+0.057 \times 0.057}{0.943 \times 0.943 \times 0.943+0.057 \times 0.057 \times 0.057}\right)$ is
(a)0.32
(b)0.886
(c)1.1286
(d)None of these
Answer
Answer (as printed): D
Explanation
Given expression $= \frac{(0.943)^2-(0.943\times0.057)+(0.057)^2}{(0.943)^3+(0.057)^3} = \frac{a^2-ab+b^2}{a^3+b^3} = \frac{1}{a+b} = \frac{1}{0.943+0.057} = 1$.

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

Study loop for Decimal Fractions

1. Practise the PYQsPrevious-year questions, with answers

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