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10 August, 05:00

Let [n] represent the greatest even integer less than n that divides n, for any positive integer n. For example, [24] = 12. What is the value of [20] ... ?

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  1. 10 August, 05:03
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    First you write down all even integers that divide 20.

    Those are: 2,4,10,20

    Since the request is that integer is less than n, 20 cannot be the answer.

    This means that greatest even integer is 10

    Answer is 10.
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