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# If q is a multiple of prime numbers, is q a multiple of r?

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Senior Manager
Joined: 19 Nov 2007
Posts: 438
If q is a multiple of prime numbers, is q a multiple of r? [#permalink]

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31 Dec 2008, 11:46
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If q is a multiple of prime numbers, is q a multiple of r?

1) r < 4.

2) q = 18

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GMAT Tutor
Joined: 24 Jun 2008
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31 Dec 2008, 12:00
vscid wrote:
If q is a multiple of prime numbers, is q a multiple of r?

1) r < 4.

2) q = 18

Where is this question from? The wording is simply bizarre. We're told q is 'a multiple of prime numbers' - well, every positive integer greater than 1 is a multiple of a prime number. Are we to take this to mean that q has at least two distinct prime divisors? It's not the kind of wording you'd ever see on a real GMAT - ambiguous and imprecise.

Then come the statements - we don't know whether r is an integer, nor whether r is positive or negative. So even using both statements, we have insufficient information: r could be 0.198, or -7, and q need not be a multiple of r. Still, the GMAT doesn't test multiples in this way; all questions on the GMAT, at least every one I've seen (and I've seen thousands) about divisibility are restricted to positive integers only.
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Senior Manager
Joined: 19 Nov 2007
Posts: 438

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31 Dec 2008, 12:14
IanStewart wrote:
vscid wrote:
If q is a multiple of prime numbers, is q a multiple of r?

1) r < 4.

2) q = 18

Where is this question from? The wording is simply bizarre. We're told q is 'a multiple of prime numbers' - well, every positive integer greater than 1 is a multiple of a prime number. Are we to take this to mean that q has at least two distinct prime divisors? It's not the kind of wording you'd ever see on a real GMAT - ambiguous and imprecise.

Then come the statements - we don't know whether r is an integer, nor whether r is positive or negative. So even using both statements, we have insufficient information: r could be 0.198, or -7, and q need not be a multiple of r. Still, the GMAT doesn't test multiples in this way; all questions on the GMAT, at least every one I've seen (and I've seen thousands) about divisibility are restricted to positive integers only.

I agree. It is indeed imprecise.
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SVP
Joined: 29 Aug 2007
Posts: 2453

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31 Dec 2008, 12:29
vscid wrote:
If q is a multiple of prime numbers, is q a multiple of r?

1) r < 4.

2) q = 18

1: r could be +ve and -ve integer or fraction. but q=? q could be any ineger with at least 4 factors. nsf..
2: q = 18, but r = ? 1 or 2 or 3 or -5 or 0.5 or -0,5 ? do not know. nsf..

togather also that same repeats.

E.

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Re: DS-prime   [#permalink] 31 Dec 2008, 12:29
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