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If r and s are positive integers and rs = 12, what is the

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If r and s are positive integers and rs = 12, what is the [#permalink]

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If r and s are positive integers and rs = 12, what is the value of r?

(1) s/3 is an integer
(2) r/2 is an integer
[Reveal] Spoiler: OA

Last edited by Bunuel on 08 Feb 2012, 01:23, edited 1 time in total.
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Re: Number Properties - Question 4 [#permalink]

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New post 07 Feb 2012, 21:04
Factors of 12 = 1,2,3,4,6,12

1) S/3= Integer. S is a multiple of 3. 3,6,12. Not enough info
2) R/2= Integer. R is a multiple of 2. 2,4,12. Not enough info

1+2) R =2 or 4, S=3,6.
R&S can't be 12 since R or S is not 1.
Still 2 solution, not enough info

Sorry I meant E since not enough info to solve with all the given info

Last edited by kys123 on 08 Feb 2012, 06:51, edited 1 time in total.

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Re: Number Properties - Question 4 [#permalink]

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New post 08 Feb 2012, 01:22
If r and s are positive integers and rs = 12, what is the value of r?

(1) s/3 is an integer --> s is a multiple of 3, so it can be: 3, 6, or 12 (it cannot be 9 as in this case r won't be an integer), which makes r 4, 2, or 1. Not sufficient
(2) r/2 is an integer --> r is a multiple of 2, so it can be: 2, 4, 6, 8, 10, 0r 12. Not sufficient

(1)+(2) Common values of r from (1) and (2) are: 2 and 4. So, we still have two different answers, hence not sufficient.

Answer: E.
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Re: If r and s are positive integers and rs = 12, what is the [#permalink]

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Re: If r and s are positive integers and rs = 12, what is the   [#permalink] 23 Nov 2017, 22:55
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