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Find Fifty (Posted on 2010-11-06) Difficulty: 3 of 5
(I) N is a duodecimal (base 12) 50 digit positive integer of the form XX....Y, where X is repeated precisely 49 times followed by Y, such that N is divisible by the duodecimal number 137. Each of X and Y is a different duodecimal digit from 1 to B.

Determine the possible value(s) of N.

(II) P is a duodecimal (base 12) 50 digit positive integer of the form XX....Y, where X is repeated precisely 49 times followed by Y, such that P is divisible by the duodecimal number 147. Each of X and Y is a different duodecimal digit from 1 to B.

Determine the possible value(s) of P.

No Solution Yet Submitted by K Sengupta    
Rating: 3.0000 (1 votes)

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  Subject Author Date
posible analytical solutionbroll2010-11-07 06:10:43
re: solutionCharlie2010-11-06 18:34:54
SolutionsolutionCharlie2010-11-06 18:31:52
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