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Simplification - General Aptitude

Q1:

If a - b = 3 and a2 + b2 = 29, find the value of ab.

A 10

B 12

C 15

D 18

ANS:A - 10

2ab = (a2 + b2) - (a - b)2    = 29 - 9 = 20    ab = 10.