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

    2. A.

    3
    B.

    4
    C.

    6
    D.

    7

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    Answer : Option B

    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.

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