If Carmen had 12 more tapes, she would have twice as many tapes as Raf : GMAT Data Sufficiency (DS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 22 Jan 2017, 13:08

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 22 May 2003
Posts: 333
Location: Uruguay
Followers: 1

Kudos [?]: 146 [1] , given: 0

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

### Show Tags

13 Sep 2003, 19:53
1
KUDOS
9
This post was
BOOKMARKED
00:00

Difficulty:

55% (hard)

Question Stats:

59% (02:41) correct 41% (01:23) wrong based on 240 sessions

### HideShow timer Statistics

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.
CEO
Joined: 15 Aug 2003
Posts: 3460
Followers: 67

Kudos [?]: 862 [0], given: 781

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

### Show Tags

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
CEO
Joined: 15 Aug 2003
Posts: 3460
Followers: 67

Kudos [?]: 862 [1] , given: 781

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

### Show Tags

14 Sep 2003, 07:33
1
KUDOS
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
Senior Manager
Joined: 22 May 2003
Posts: 333
Location: Uruguay
Followers: 1

Kudos [?]: 146 [0], given: 0

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

### Show Tags

14 Sep 2003, 20:41
B is the answer .. so I guess you're right
Intern
Joined: 17 Aug 2003
Posts: 38
Location: USA
Followers: 0

Kudos [?]: 1 [0], given: 0

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

### Show Tags

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.
Senior Manager
Joined: 22 May 2003
Posts: 333
Location: Uruguay
Followers: 1

Kudos [?]: 146 [0], given: 0

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

### Show Tags

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
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13503
Followers: 577

Kudos [?]: 163 [0], given: 0

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

### Show Tags

15 Sep 2014, 12:51
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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 36598
Followers: 7096

Kudos [?]: 93463 [2] , given: 10563

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

### Show Tags

15 Sep 2014, 20:23
2
KUDOS
Expert's post
7
This post was
BOOKMARKED
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
_________________
Re: If Carmen had 12 more tapes, she would have twice as many tapes as Raf   [#permalink] 15 Sep 2014, 20:23
Similar topics Replies Last post
Similar
Topics:
11 How much money would Kimberly have saved if she had bought her cheese 7 09 Jul 2015, 03:12
3 Maria had twice as many suits in the year 1995 as she did 2 21 Jul 2014, 20:57
4 If George had 16 more textbooks, he would have three times 8 27 Dec 2012, 08:56
37 If Carmen had 12 more tapes, she would have twice as many 10 25 Feb 2012, 08:33
7 If Carmen had 12 more tapes, she would have twice as many 3 26 Jan 2010, 19:36
Display posts from previous: Sort by