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Wacko Calculator II (Posted on 2010-08-27) Difficulty: 3 of 5
(A) Jason likes primes and he was excited by Wacko Calculator. He has a calculator that allows him to add, subtract, multiply and divide in positive integer bases up to 36. Jason chose two base N positive integers X and Y, with N being a positive integer between 10 and 36 inclusively, where X and Y are relatively prime having the proviso that sod(X) is prime. Thereafter, he divided X by Y to obtain: .01234567890123456789.....

Determine the values of N for which this is possible.

(B) Keeping all the other conditions in (A) unaltered but disregarding the proviso that sod(X) is a prime number Jason noted that there is precisely one value of N between 10 and 36 inclusively such that X is a prime number.

What is the value of N and what are the corresponding values of X and Y?

Note: sod(x) denotes the sum of digits of x.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
solution?Justin2010-08-31 17:02:17
re: Question (partial spoiler?)K Sengupta2010-08-29 04:20:23
QuestionQuestion (partial spoiler?)Dej Mar2010-08-28 21:48:38
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