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Question

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


Options:
A .  3
B .  4
C .  6
D .  7
Answer: Option B

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.



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