The difference of the squares of two consecutive even integers is divisible by which of the following integers ?  Select the correct option
A) 3
B) 4
C) 5
D) 6
E) 7
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.   Answer: Option 4
<result>B</result>
The difference of the squares of two consecutive even integers is divisible by which of the following integers ?