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Miscellaneous·2020·Easy

How many integers are there between 1 and 100 which have 4 as a digit but are not divisible by 4?

How many integers are there between 1 and 100 which have 4 as a digit but are not divisible by 4?

Options

  1. a.

    5

  2. b.

    11

  3. c.

    12

    Correct answer
  4. d.

    13

Explanation

Between 1 and 100 there are 19 such integers which have 4 as a digit – 4, 14, 24, 34, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 54, 64, 74, 84 and 94. Out of these, only 7 integers – 4, 24, 40, 44, 48, 64 and 84 are divisible by 4. So correct answer will be 19 – 7 = 12. A mechanical question but can be done.

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