<PRE><B>Question 1139425</B>
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Answer:  6


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12345678910  are the first 11 digits
11121314...64  are the next 108 digits (54 two-digit numbers)
6            is the final digit 


So the number ends with  646  which has remainder 6 when divided by 8.

What happened to the first 117 digits, you may ask?  Since 8 divides into 1000 evenly, all those digits can be ignored.  

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