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| Number = Power Remainder (Posted on 2009-08-20) |
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Determine all possible value(s) of a 4-digit non leading zero base ten positive integer x such that the remainder obtained upon dividing 2x by 10,000 is equal to x.
What are the possible value(s) of a 4-digit non leading zero base ten positive integer x such that the remainder obtained upon dividing 3x by 10,000 is equal to x?
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Submitted by K Sengupta
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Solution:
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For Part A, the the only possible value of x is 8736.
For Part B, the the only possible value of x is 5387.
For an explanation, refer to the respective solutions submitted by Charlie in this location and by Daniel in this location.
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