evansbd wrote:If q is a multiple of prime numbers, is q a multiple of r?
1) r < 4.
2) q = 18.
I started writing out primes and their multiples however I wanted to know if anyone could share their insight with this question.
OA to follow...
Let's simplify:
"If q is a multiple of prime numbers" means "If q is an integer", since all integers are multiple of primes. (Technically, one could argue that q is a non-prime integer, but that would really be about semantics.) (Further, one could argue that this first piece of information is completely irrelevant, since we really only talk about integers when we discuss factors and multiples.)
So, the question really is:
"If q is an integer, is q a multiple of r?"
(1) r<4
Well, if q=25 and r=2, then no. If q=16 and r=2, then yes. Insufficient.
(2) q=18
No info about r, so insufficient.
Together:
Again, really depends how deeply we look at the question. Nowhere have we been told that r is a positive integer. So, if q=18 and r=1.2556121, then the answer would be "no". If q=18 and r=3, the answer would be "yes". Choose (e).
However, if we're supposed to assume (a dirty word in data sufficiency) that r is a positive integer, then r must be 1, 2 or 3, all of which give us a "yes" answer. Choose (c).
In conclusion, if this were a real GMAT question (something that's very unlikely, given the weirdness), the answer would be (e). If this is a question from a questionable source, the answer may "officially" be (c).
What's the source? Please post the source of all your questions so we can better evaluate how GMATesque the question really is.
