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50 - Digit Number II (Posted on 2010-05-29) Difficulty: 2 of 5
N is a duodecimal (base 12) positive integer having precisely 50 digits such that each of its digits is equal to 1 except the 26th digit. If N is divisible by the duodecimal number 17, then find the digit in the 26th place.

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

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Hints/Tips re: Now it's correct Comment 9 of 9 |
(In reply to Now it's correct by Larry)

"...Any number which is 10mod19 which is divided by 11 becomes 13mod19.

Hardly the right wording.

13 is the z zolution of 19m+10=11z
all  integers between 0 and 18 inclusive)    

since 19*7+10=11*13


  Posted by Ady TZIDON on 2010-05-29 18:01:49
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