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Sirius Black

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The 4-digit number 2652 is such that anyu two consecutive digits from it make a multiple of 13. Another number N has the same property but with 100 digits, and begins with 9. what is the last digit of N?
choices: (a)2 (b)3 (c)6 (d) 9
N= 913913913.... SO the answer is d?
thanx in advance:)
 
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Riviet

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Lol, this sounds like one of those questions that you get in the maths comp.

d i think is right but...

There may be more than 1 right answer??? :rolleyes:
 

KeypadSDM

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Only 1 solution:

9 must be followed by a 1, 1 must be followed by a 3, 3 must be followed by a 9. And the cycle continues.
 

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