olymmath

KöMaL 2011 K277

    Steve thought of a positive integer. He gave the following information about his number: If the number is divisible by 3, then it is between 50 and 59. If the number is not divisible by 4, then it is between 60 and 69. If the number is not divisible by 6, then it is between 70 and 79. Given that all his statements above are true, find out which number Steve had in mind.

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