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Number = Power Remainder II (Posted on 2010-12-12) Difficulty: 3 of 5
(A) Determine all possible value(s) of a 2-digit non leading zero base nine positive integer x such that we will obtain a remainder of x, whenever 2x is divided by the base nine number 100. What are the possible values of x - if a remainder of x is obtained, whenever 5x is divided the base nine number 100?

(B) Determine all possible value(s) of a 2-digit non leading zero base eleven positive integer y such that we will obtain a remainder of y, whenever 2y is divided by the base eleven number 100. What are the possible values y- if a remainder of y is obtained, whenever 5y is divided the base eleven number 100?

*** For an extra challenge, solve this problem without using a computer program.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
Solutioncomputer solutionCharlie2010-12-13 02:29:00
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