Problems on Numbers - General Aptitude

Q1:

The sum of two number is 25 and their difference is 13. Find their product.

A 104

B 114

C 315

D 325

ANS:B - 114

Let the numbers be x and y. Then, x + y = 25 and x - y = 13. 4xy = (x + y)2 - (xy)2    = (25)2 - (13)2    = (625 - 169)    = 456  xy = 114.