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

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If r and s are integers, is r divisible by 7?  [#permalink]

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New post 10 Jul 2014, 01:52
1
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

89% (00:38) correct 11% (00:53) wrong based on 212 sessions

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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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Re: If r and s are integers, is r divisible by 7?  [#permalink]

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New post 10 Jul 2014, 01:59
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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]

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New post 17 Jul 2017, 17:34
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

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Re: If r and s are integers, is r divisible by 7?  [#permalink]

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Re: If r and s are integers, is r divisible by 7?   [#permalink] 20 Feb 2019, 14:21
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