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Discussion :: Numbers

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

  2. A.

    8

    B.

    11

    C.

    12

    D.

    13

    E.

    None of these

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    Answer : Option D

    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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