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Aptitude · Q407

Number System

Competitive Exams · Aptitude · question 407

Q407

397 × 397 + 104 × 104 + 2 × 397 × 104 = ?

A.
250001
B.
251001
Answer
C.
260101
D.
261001

Answer: Option B

Solution

Answer: Option B
Solution:
Given expression,
= (397)2 + (104)2 + 2 × 397 × 104
= (397 + 104)2
= (501)2
= (500 + 1)2
= (500)2 + 12 + 2 × 500 × 1
= 250000 + 1 + 1000
= 251001