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50 - Digit Number (Posted on 2003-11-15) Difficulty: 3 of 5
A number of 50 digits has all its digits equal to 1 except the 26th digit. If the number is divisible by 13, then find the digit in the 26th place.

See The Solution Submitted by Ravi Raja    
Rating: 3.3333 (6 votes)

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re: A similar problem but perhaps a bit trickier | Comment 13 of 39 |
(In reply to A similar problem but perhaps a bit trickier by Kirk)

One way is to find that 564387902841 leaves a remainder of 4 when divided by 11, while 10000 leaves a remainder of 1. So we need to add (11-4) = 7 times 10000, by placing a 7 in that x position (the 10,000's position) in which we had tentatively placed a zero.
  Posted by Charlie on 2003-11-20 14:59:49

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