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26 August, 05:22

How many natural numbers less than 600 are neither multiples of 4 nor multiples of 6?

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  1. 26 August, 07:09
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    400

    Step-by-step explanation:

    There are 599 numbers from 1 to 599.

    There are

    INT (599/4) = 149 numbers divisible by 4 and

    INT (599/6) = 99 numbers divisible by 6,

    However, some of these numbers have been counted twice. For example, 12 is counted twice, because 12 is divisible by both 4 and 6. There are

    INT (599/12) = 49 numbers divisible by 12.

    599 numbers

    -149 divisible by 4

    - 99 divisible by 6

    +49 double-counts

    400 numbers not divisible by 4 or 6.
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