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Aptitude · Q153

Number System

Competitive Exams · Aptitude · question 153

Q153

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

A.
250001
B.
251001
Answer
C.
260101
D.
261001
E.
None of these

Answer: Option B

Solution

Answer: Option B
Solution:
Given Exp.
= (397)2 + (104)2 + 2 × 397 × 104
= (397 + 104)2
= (501)2 = (500 + 1)2
= (5002) + (1)2 + (2 × 500 × 1)
= 250000 + 1 + 1000
= 251001