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Square Root and Cube Root - General Aptitude

Q1:

If x = 3 + 1 and y = 3 - 1 , then the value of (x2 + y2) is:
3 - 1 3 + 1

A 10

B 13

C 14

D 15

ANS:C - 14

x = (3 + 1) x (3 + 1) = (3 + 1)2 = 3 + 1 + 23 = 2 + 3.
(3 - 1) (3 + 1) (3 - 1) 2
y = (3 - 1) x (3 - 1) = (3 - 1)2 = 3 + 1 - 23 = 2 - 3.
(3 + 1) (3 - 1) (3 - 1) 2
 x2 + y2 = (2 + 3)2 + (2 - 3)2    = 2(4 + 3)    = 14