Aptitude | Arithmetic Aptitude 2 | Question 1

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

Answer: (C)
Explanation:

Let X=500 & Y=12
Now, (X + Y)2 + (X – Y)2 = 2 ( X2 + Y2 )
                = 2 ( 5002 + 122 )
             = 2 ( 250000 + 144 )
             = 2 * 250144
             = 500288

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