1.  The difference of the squares of two consecutive even integers is divisible by which of the following integers ?

A. 3
B. 4
C. 6
D. 7

Answer: Option B

Explanation:

Let the two consecutive even integers be 2n and (2n + 2). Then,

(2n + 2)2 = (2n + 2 + 2n)(2n + 2 - 2n)

             = 2(4n + 2)

             = 4(2n + 1), which is divisible by 4.