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

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If Carmen had 12 more tapes, she would have twice as many tapes as Raf [#permalink] New post 13 Sep 2003, 19:53
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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, 20:22, 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] New post 13 Sep 2003, 20:22
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
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Re: If Carmen had 12 more tapes, she would have twice as many tapes as Raf [#permalink] New post 14 Sep 2003, 07:33
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] New post 14 Sep 2003, 20:41
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] New post 18 Sep 2003, 07:30
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.
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Re: If Carmen had 12 more tapes, she would have twice as many tapes as Raf [#permalink] New post 21 Sep 2003, 07:31
"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] New post 15 Sep 2014, 12:51
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Re: If Carmen had 12 more tapes, she would have twice as many tapes as Raf [#permalink] New post 15 Sep 2014, 20:23
Expert's post
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.

Answer: B.


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, 20:23
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