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Using the digits 1, 2, 3, 4 and 5, a two-digit number is formed. What is the probability that this number is divisible by 4?

1. 1/30
2. 1/20
3. 1/5
4. None of these

Correct answer: 1/5

Solution

With digits 1-5, two-digit numbers divisible by 4 are 12, 24, 32, 52 (and 44 if repetition allowed). Without repetition: 4 favourable out of 5*4 = 20, probability 4/20 = 1/5. With repetition: 5 out of 25 = 1/5. Either way the probability is 1/5.

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