ABC26GN1214 · Simplification

Subject: General Aptitude · Chapter: Simplification · Exam: · Marks: · Difficulty:

$\left(\frac{147 \times 147+147 \times 143+143 \times 143}{147 \times 147 \times 147-143 \times 143 \times 143}\right)=$ ?
(a)$\frac{1}{4}$
(b)290
(c)$\frac{1}{290}$
(d)4
Answer
Answer (as printed): A
Explanation
Given $\exp .=\left(\frac{a^{2}+a b+b^{2}}{a^{3}-b^{3}}\right)=\left(\frac{1}{a-b}\right)$ $$\text { (where } a=147, b=143 \text { ) }=\left(\frac{1}{147-143}\right)=\frac{1}{4} \text {. }$$

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

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