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Question


N = abcdefghij is a ten-digit number. All of the digits (a, b, c, d, …) are different from one another.
If 11111 divides N evenly, find the remainder if the greatest possible abcdefghij is divided by 8?


Options:
A .   2
B .   3
C .   4
D .   7
Answer: Option A
:
A

The greatest possible value of N, satisfying the condition is N=9876501234.


The divisibility rule for 8 is to check only the last three digits - 2348, remainder = 2.



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