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Replace * by the smallest digit so that 723*56* is divisible by 6.

1. 4
2. 3
3. 2
4. 1

Correct answer: 2

Solution

For divisibility by 6, the number must be even and its digit sum must be divisible by 3. The last star must be an even digit, and testing the smallest possible digit that satisfies the sum condition gives 2. Hence, the number is divisible by 6 when the digit is 2.

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