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

E. None of these

Answer: Option B

Solution(By Examveda Team)

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