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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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Solution so easy | Comment 34 of 39 |

so A=111111 = 111*1001 is divisible by 13

our number can be written AAAA1XAAAA
X= the 26th digit

SINCE AAAA is divisible by 13
we are left with simple problem 1X -FOR WHAT VALUE IF X IS 1X DIVISIBLE BY 13??

The answer of cours is 3 ( three)

  Posted by Ady TZIDON on 2004-02-10 15:08:55
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