Subject

    Quantitative Aptitude

    Topic

    Number

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

    ক)
    3
    খ)
    4
    গ)
    6
    ঘ)
    7

    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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