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# If Carmen had 12 more tapes, she would have twice as many tapes as Raf

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Senior Manager
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If Carmen had 12 more tapes, she would have twice as many tapes as Raf [#permalink]

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13 Sep 2003, 20:53
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59% (02:43) correct 41% (01:20) wrong based on 226 sessions

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If Carmen had 12 more tapes, she would have twice as many tapes as Rafael. Does Carmen have fewer tapes than Rafael?

(1) Rafael has more than 5 tapes.
(2) Carmen has fewer than 12 tapes.

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-carmen-had-12-more-tapes-she-would-have-twice-as-many-128123.html
[Reveal] Spoiler: OA

Last edited by Bunuel on 15 Sep 2014, 21:22, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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Re: If Carmen had 12 more tapes, she would have twice as many tapes as Raf [#permalink]

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13 Sep 2003, 21:22
MartinMag wrote:
If Carmen had 12 more tapes, she would have twice
as many tapes as Rafael. Does Carmen have fewer tapes than Rafael ?

(1) Rafael has more than 5 tapes.
(2) Carmen has fewer than 12 tapes.

I would say B.

C = 2R -12

C can be only be positive..so R has to be more than 5...

And for every value between 5 and 12 , not inclusive.. C < R

thanks
CEO
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Re: If Carmen had 12 more tapes, she would have twice as many tapes as Raf [#permalink]

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14 Sep 2003, 08:33
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MartinMag wrote:
What if C has 11 tapes ?

well, thats where the sanity check comes in

23/2 = 11.5 tapes in not possible..is it
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Re: If Carmen had 12 more tapes, she would have twice as many tapes as Raf [#permalink]

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14 Sep 2003, 21:41
B is the answer .. so I guess you're right
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Re: If Carmen had 12 more tapes, she would have twice as many tapes as Raf [#permalink]

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18 Sep 2003, 08:30
praetorian123 wrote:
MartinMag wrote:
If Carmen had 12 more tapes, she would have twice
as many tapes as Rafael. Does Carmen have fewer tapes than Rafael ?

(1) Rafael has more than 5 tapes.
(2) Carmen has fewer than 12 tapes.

I would say B.

C = 2R -12

C can be only be positive..so R has to be more than 5...

And for every value between 5 and 12 , not inclusive.. C < R

thanks

Shouldn't the equation be:

C=(R/2)-12

and hence give an answer of D.
Senior Manager
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Location: Uruguay
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Kudos [?]: 133 [0], given: 0

Re: If Carmen had 12 more tapes, she would have twice as many tapes as Raf [#permalink]

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21 Sep 2003, 08:31
"If Carmen had 12 more Tapes" : C+12
"she would have": =
"twice as many tapes as Rafael" : 2*R

C+12=2R

C=2R-12
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Re: If Carmen had 12 more tapes, she would have twice as many tapes as Raf [#permalink]

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15 Sep 2014, 13:51
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If Carmen had 12 more tapes, she would have twice as many tapes as Raf [#permalink]

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15 Sep 2014, 21:23
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If Carmen had 12 more tapes, she would have twice as many as Rafael. Does Carmen have fewer tapes than Rafael?

Given $$c+12=2r$$, question is $$c<r$$?

(1) Rafael has more than 5 tapes --> $$r>5$$. If $$r=6>5$$ then $$c=0$$ and $$c<r$$ BUT if $$r=14>5$$ then $$c=16$$ and $$c>r$$. Two different answers. Not sufficient.

(2) Carmen has fewer than 12 tapes --> $$c<12$$. Max number of tapes Carol can have is 10 (if $$c=11$$ then $$r=11.5\neq{integer}$$, which is not possible since $$c$$ and $$r$$ represent # of tapes and must be integers). So, $$c_{max}=10$$ and $$r=11$$ (from $$c+12=2r$$), hence $$c<r$$. Sufficient.

Since even for $$c_{max}$$ we got that $$c<r$$, then for all other possible values of $$c$$, $$c<r$$ will also hold true.

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-carmen-had-12-more-tapes-she-would-have-twice-as-many-128123.html
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Re: If Carmen had 12 more tapes, she would have twice as many tapes as Raf   [#permalink] 15 Sep 2014, 21:23
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