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Identical Digit Determination (Posted on 2014-11-13) Difficulty: 3 of 5
I am thinking of a 100-digit number divisible by 21649, of which, all the digits are identical, except the units digit. What is the units digit?

No Solution Yet Submitted by K Sengupta    
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Solution answer- from my smatphone Comment 1 of 1
The last digit is zero.
The other digits- any non-zero digit will do.
WHY?
21649 divides 11111111111 (eleven ones).

  Posted by Ady TZIDON on 2014-11-13 08:01:12
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