If 2/a + 3/a + 4/a is an integer, which of the following must also be an integer?

Correct answer marked below

12/a

3/a

6/a

9/a

Correct

15/a

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What this question tests

Your command of divisibility, primes, factors, parity, and how the GMAT tests properties of integers.

Forgetting that 1 is not prime, that 0 is divisible by every integer, or that negative numbers flip your assumptions.