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?

• A. 2
• B. 3
• C. 4
• D. 7

Answer 1

The correct option is A

2

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 - $\frac{234}{8}$, remainder = 2.