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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: 3.0000 (7 votes)

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first thoughts | Comment 1 of 43
doubt this will help but the sum of the digits of multiples of thirteen (and the sum of those digits if their 2 digit numbers) goes in a patern:
4,8,3,7,2,4,1,5,9. Therefore, sice 3 and 6 arent present in the patern, we can rule out 2 and 8.
49*1+2=51. 5+1=6.
49*1+8=57. 5+7=12. 1+2=3.

  Posted by rerun141 on 2003-11-15 11:06:34
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