The difference of the squares of two consecutive even integers is divisible by which of the following integers ?
Choose the correct choice from the following answers
A) 5  B) 18  C) 7  D) 45  E) 4
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.   ANSW4R:4
<result>E</result>
The difference of the squares of two consecutive even integers is divisible by which of the following integers ?