Solutions
Get detailed explanations to advanced GMAT questions.
Question
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
Difficulty Level
HardSolution
Option A is the correct answer.
Option Analysis
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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