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   Author  Topic: E8  (Read 683 times)
Grimbal
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E8  
« on: Apr 20th, 2007, 4:27am »
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Find a nine-digit number made up of 1,2,3,4,5,6,7,8,9 in some permutation such that when digits are removed one at a time from the right the number remaining is divisible in turn by 8, 7, 6, 5, 4, 3, 2, 1.
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Can anyone help me think outside the box please?

   


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Re: E8  
« Reply #1 on: Apr 20th, 2007, 10:48am »
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381654729
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Grimbal
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Re: E8  
« Reply #2 on: Apr 20th, 2007, 10:57pm »
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Correct. Smiley
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Re: E8  
« Reply #3 on: Jan 5th, 2008, 4:47am »
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i find it hard to solve using hit n trial. can it be solved without using a calculator / computer?
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mikedagr8
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Re: E8  
« Reply #4 on: Jan 5th, 2008, 5:04am »
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Yes. The first step is that you know when dividing by five the number must either be 0 or 5. But since there's no 0...
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Grimbal
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Re: E8  
« Reply #5 on: Jan 5th, 2008, 5:55am »
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Then, evens must be at even places.
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