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Thread: Apply Logic to get the number

  1. #1
    Contributing Member
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    Jul 2006
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    Exclamation Apply Logic to get the number

    Can you find the smallest integer greater than 0 that can be written entirely with zeros and ones and is evenly divisible by 225?


  2. #2
    Expert Member
    Join Date
    Jun 2006
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    410

    Re: Apply Logic to get the number

    225 is divisible by 9 and 25.
    => Sum of digits of the resultant value should be 9 ( since it is divisible by 9.).
    => it must have 9 ones since the resultant value can contain only ones and zeros.
    So the answer is 11,111,111,100 [ since it has to be a multiple of 25]

    -- James.


  3. #3
    Contributing Member
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    Jul 2006
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    Thumbs up Re: Apply Logic to get the number

    Perfect James!!!!!!!! You got the number. Very good approach to the solution!!!!!!!


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