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

3
4
6
7

Correct Answer: 4

Explanation:

Let the two consecutive even integers be 2 n and (2 n + 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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