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Numbers

Q1: 397 x 397 + 104 x 104 + 2 x 397 x 104 = ?

A 250001

B 251001

C 260101

D 261001

ANS:B - 251001

Given Exp. = (397)2 + (104)2 + 2 x 397 x 104
  = (397 + 104)2
  = (501)2 = (500 + 1)2
  = (5002) + (1)2 + (2 x 500 x 1)
  = 250000 + 1 + 1000
  = 251001



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