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Numbers - General Aptitude

Q1:

The difference of the squares of two consecutive odd integers is divisible by which of the following integers ?

A 3

B 6

C 7

D 8

ANS:D - 8

Let the two consecutive odd integers be (2n + 1) and (2n + 3). Then, (2n + 3)2 - (2n + 1)2 = (2n + 3 + 2n + 1) (2n + 3 - 2n - 1)      = (4n + 4) x 2      = 8(n + 1), which is divisible by 8.