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If r and s are integers, is r divisible by 7?

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monty6000
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If r and s are integers, is r divisible by 7? [#permalink] New post  10 Jul 2014, 00:52
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If r and s are integers, is r divisible by 7?

(1) The product rs is divisible by 7.
(2) s is not divisible by 7.
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Bunuel
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If r and s are integers, is r divisible by 7? [#permalink] New post  10 Jul 2014, 00:59
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If r and s are integers, is r divisible by 7?

(1) The product rs is divisible by 7. Since r and s are integers and 7 is prime, then either r or s must be divisible by 7. We don't know which Bot sufficient.

(2) s is not divisible by 7. Not sufficient.

(1)+(2) From (1) we know that either r or s must be divisible by 7 and from (2) we kn ow that it's not s, so it must be r. Sufficient.

Answer: C.
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Re: If r and s are integers, is r divisible by 7? [#permalink] New post  17 Jul 2017, 16:34
monty6000 wrote:
If r and s are integers, is r divisible by 7?

(1) The product rs is divisible by 7.
(2) s is not divisible by 7.


Statement 1

RS is a multiple of 7 meaning either R or S could be a multiple of 7- though not info to be certain

insuff

Statement 2

no info given about R obv. insuff

1 & 2

RS/ 7 so R/7

C
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Re: If r and s are integers, is r divisible by 7? [#permalink] New post  07 Dec 2022, 08:11
Bunuel KarishmaB
How this free info "r and s are integers" is useful for this question?

If r and s are not integers, then answer is E. Please let me know.

Thanks!
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Re: If r and s are integers, is r divisible by 7? [#permalink] New post  07 Dec 2022, 09:12
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Sneha2021 wrote:
Bunuel KarishmaB
How this free info "r and s are integers" is useful for this question?

If r and s are not integers, then answer is E. Please let me know.

Thanks!


Exactly. If we were not told that r and s are not integers, then both of them could be say \(\sqrt{7}\) and in this case r wouldn't be divisible by 7 (or rather it would not make sense for the GMAT's purpose to talk whether \(\sqrt{7}\) is divisible by 7). Note that all divisibility/remainder questions on the GMAT are limited to (positive) integers only, that is every real GMAT question will tell you in advance that the variables in the question are (positive) integers.
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Re: If r and s are integers, is r divisible by 7? [#permalink]
07 Dec 2022, 09:12
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