ABC26GN0196 · Number System

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

$\frac{854 \times 854 \times 854-276 \times 276 \times 276}{854 \times 854+854 \times 276+276 \times 276}=$ ?
(a)1130
(b)578
(c)565
(d)1156
(e)None of these
Answer
Answer (as printed): B
Explanation
Given Expression $=\dfrac{(854)^{3}-(276)^{3}}{(854)^{2}+(854 \times 276)+(276)^{2}}=\dfrac{a^{3}-b^{3}}{a^{2}+ab+b^{2}}=(a-b)$, where $a=854$ and $b=276$, $=(854-276)=578$.

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

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