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.

(In reply to analytical solution by Daniel)

Why D?

Duodecimal digits are : 1,2,3,...9.,A,B.

BTW, I BELIEVE 11, i.e. B IS  THE CORRECT SOLUTION-

but there is no need to solve  it explicitly - see my solution.

Posted by Ady TZIDON on 2010-05-29 15:23:43