Question Bank › General Aptitude › Decimal Fractions › ABC26GN0779ABC26GN0779 · Decimal Fractions Subject: General Aptitude · Chapter: Decimal Fractions · Exam: 2005 · Marks: · Difficulty:
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 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.
← Previous in chapter · Chapter list · Next in chapter → Open in whiteboard · Browse this chapter in the app