ABC26GN1201 · Simplification

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

$\frac{(856+167)^{2}+(856-167)^{2}}{856 \times 856+167 \times 167}=$ ?
(a)1
(b)2
(c)689
(d)1023
Answer
Answer (as printed): B
Explanation
$$\begin{aligned} \text { Given exp. } & =\frac{(a+b)^{2}+(a-b)^{2}}{a^{2}+b^{2}}(\text { where } a=856, b=167) \\ & =\frac{2\left(a^{2}+b^{2}\right)}{\left(a^{2}+b^{2}\right)}=2 . \end{aligned}$$

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

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