ABC26GN0191 · Number System

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

$397 \times 397+104 \times 104+2 \times 397 \times 104=$ ?
(a)250001
(b)251001
(c)260101
(d)261001
Answer
Answer (as printed): B
Explanation
Given Expression $=(397)^{2}+(104)^{2}+2 \times 397 \times 104$ $$\begin{aligned} & =(397+104)^{2}=(501)^{2}=(500+1)^{2} \\ & =(500)^{2}+1^{2}+2 \times 500 \times 1=250000+1+1000=251001 . \end{aligned}$$

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

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