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Square and Consecutive Settlement (Posted on 2010-09-10) Difficulty: 3 of 5
Determine the probability that for a base 11 perfect square P chosen at random between 1,000,000,000 (base 11) and A,AAA,AAA,AAA (base 11) inclusively, the five digit number formed by the last five digits of P (reading left to right) is precisely one more than the number formed by the first five digits.

  Submitted by K Sengupta    
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Solution: (Hide)
The required probability is 5/112,492.

For an explanation, refer to the solution posted by Charlie in this location.

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  Subject Author Date
Solutioncomputer solutionCharlie2010-09-10 14:16:29
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