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Numbers - General Aptitude

Q1:

107 x 107 + 93 x 93 = ?

A 19578

B 19418

C 20098

D 21908

E None of these

ANS:C - 20098

107 x 107 + 93 x 93 = (107)2 + (93)2
  = (100 + 7)2 + (100 - 7)2
  = 2 x [(100)2 + 72]       [Ref: (a + b)2 + (a - b)2 = 2(a2 + b2)]
  = 20098