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Thread: Who Am I?

  1. #1
    Silver Lounger
    Join Date
    Mar 2001
    Dallas, Texas, USA
    Thanked 1 Time in 1 Post

    Who Am I?

    I am a number with the following properties:
    If I am not a multiple of 4, then I am between 60 and 69.
    If I am a multiple of 3, I am between 50 and 59.
    If I am not a multiple of 6, I am between 70 and 79.
    <font color=blue>What number am I?</font color=blue>
    - Ricky

  2. #2
    Plutonium Lounger
    Join Date
    Mar 2002
    Thanked 31 Times in 31 Posts

    Re: Who Am I?

    <span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>If you were a multiple of 3, you would have to be either 51, 54, or 57, but since neither of these is a multiple of 4, you get a contradiction. So you are NOT a multiple of 3. Hence you are also not a multiple of 6, so you must be between 70 an 79. This implies that you MUST be a multiple of 4. The only number between 70 and 79 that is a multiple of 4 but not of 6 is 76.</font color=yellow></span hi>

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