Get detailed explanations to advanced GMAT questions.

How many positive three-digit integers are divisible by both 3 and 4?

Option A:

75

Option B:

128

Option C:

150

Option D:

225

Option E:

300

Option A is the correct answer.

A number to be divisible by both 3 and 4 should be divisible by the least common multiple of 3 and 4 so by 12.

Number of multiples of 12 between 100 and 999, inclusive is (last-first)/multiple+1

=(996- 108)/12+1=75

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