Aptitude | Arithmetic Aptitude | Question 5

103 x 103 + 97 x 97 = ?
(A) 21348
(B) 20018
(C) 19648
(D) 21428

Answer: (B)
Explanation:

103 x 103 + 97 x 97
= (100+3)2 + (100-3)2
= 2 (1002 + 32 )  
[ (X +Y)2 + ( X – Y)2 = 2 ( X2 + Y2 ) ]
= 2 (10000 + 9 )
= 2 x 10009
= 20018

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