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Numbers - General Aptitude

Q1:

217 x 217 + 183 x 183 = ?

A 79698

B 80578

C 80698

D 81268

ANS:B - 80578

(217)2 + (183)2 = (200 + 17)2 + (200 - 17)2
  = 2 x [(200)2 + (17)2]       [Ref:(a + b)2 + (a - b)2 = 2(a2 + b2)]
  = 2[40000 + 289]
  = 2 x 40289
  = 80578.