Subject

    Quantitative Aptitude

    Topic

    Number

    How many natural numbers are there between 23 and 100 which are exactly divisible by 6?

    ক)
    8
    খ)
    11
    গ)
    12
    ঘ)
    13

    Explanation

    Required numbers are 24, 30, 36, 42, ..., 96 This is an A.P. in which a = 24, d = 6 and l = 96 Let the number of terms in it be n. Then tn = 96    a + (n - 1)d = 96 => 24 + (n - 1) x 6 = 96 => (n - 1) x 6 = 72 => (n - 1) = 12 => n = 13 Required number of numbers = 13.

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