Aptitude | Arithmetic Aptitude 2 | Question 1

512 x 512 + 488 x 488 = ?
(A) 512438
(B) 502568
(C) 500288
(D) 514318


Answer: (C)

Explanation:

X2 + Y2 = 1/2[(X + Y)2 + (X – Y)2]
5122 + 4882 = ½ [(512+488)2 + (512-488)2]
= 1/2[10002+242]
= 1/2(1000000+576)
= 500288


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