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

    2. A.

    3
    B.

    6
    C.

    7
    D.

    8

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    Answer : Option D

    Explanation :

    Let the two consecutive odd integers be (2n + 1) and (2n + 3). Then,

    (2n + 3)2 - (2n + 1)2 = (2n + 3 + 2n + 1) (2n + 3 - 2n - 1)

         = (4n + 4) x 2

         = 8(n + 1), which is divisible by 8.

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