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Square and Consecutive Settlement (Posted on 2010-09-10) |
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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.
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Submitted by K Sengupta
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Solution:
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The required probability is 5/112,492.
For an explanation, refer to the solution posted by Charlie in this location.
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