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Using each of the digits 1, 2, 3 and 4 only once, determine the smallest 4-digit number divisible by 4.

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#### Solution

For a number to be divisible by 4, the number formed by its last two digits should be divisible by 4.

∴ Possible last two digits here are 12, 24, 32

By taking 12, possible numbers = 3412 and 4312

By taking 24, possible numbers = 1324 and 3124

By taking 32, possible numbers = 4132 and 1432

Smallest number among above = 1324

Hence, using each of the digits 1, 2, 3 and 4 only once, the smallest 4 - digit number divisible by 4 = 1324.

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