ABC26GN0197 · Number System

Subject: General Aptitude · Chapter: Number System · Exam: · Marks: · Difficulty:

$\frac{753 \times 753+247 \times 247-753 \times 247}{753 \times 753 \times 753+247 \times 247 \times 247}=$ ?
(a)$\frac{1}{1000}$
(b)$\frac{1}{506}$
(c)$\frac{253}{500}$
(d)None of these
Answer
Answer (as printed): A
Explanation
Given Expression $=\dfrac{(753)^{2}+(247)^{2}-(753 \times 247)}{(753)^{3}+(247)^{3}}=\dfrac{a^{2}+b^{2}-ab}{a^{3}+b^{3}}$, where $a=753$ and $b=247$, $=\dfrac{1}{a+b}=\dfrac{1}{753+247}=\dfrac{1}{1000}$.

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

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