Subject

    Quantitative Aptitude

    Topic

    Number

    The difference between the squares of two consecutive odd integers is always divisible by ?

    ক)
    8
    খ)
    2
    গ)
    6
    ঘ)
    0

    Explanation

    Let the two consecutive odd integers be (2x + 1) and (2x + 3) Then, (2x + 3) 2 - (2x + 1) 2 = (2x + 3 + 2x + 1) (2x + 3 - 2x - 1) = (4x + 4)(2) = 8 (x + 1), which is always divisible by 8

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