Subject

    Bank Exam

    Topic

    পূবালী ব্যাংক লিমিটেড (প্রবেশনারী অফিসার) - ৩০.০৯.২০২৩

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

    ক)
    3
    খ)
    6
    গ)
    7
    ঘ)
    8

    Explanation

    Let, The two consecutive odd integers be (2n + 1) and (2n + 3) Now (2n + 3) 2 - (2n - 1) 2 = (2n + 3 + 2n + 1)(2n + 3 - 2n - 1) = (4n + 4) × 2 = 4(n + 1) × 2 = 8(n + 1), which is divisible by 8

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