Hmm...where this one probably gets tricky in terms of solution is that:
Statement 1 is not sufficient. f could be 5 and g 1, and 5 + 2 is prime; or f could be 7 and g 1, and 7 + 2 is not.
Statement 2, as it's written, is NOT sufficient, but only because g could still be 0, and 0 + 2 is prime (2). For all other values of g (assuming that f is not also 0), fg + 2 is not prime.
So, as written, the correct answer should be E. But if they tweaked it to "f and g are POSITIVE integers" it would be B.
Brian Galvin
GMAT Instructor
Chief Academic Officer
Veritas Prep
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