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# This is a problem a friend of mine gave me, who just wrote

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This is a problem a friend of mine gave me, who just wrote [#permalink]

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15 Dec 2005, 21:56
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This is a problem a friend of mine gave me, who just wrote GMAT!

Cat has 1/2 the money that Dog has & 1/3 the money that Monkey has. What proportion of total money Cat has?

Beware, 1/6 is not in the answer choice...how?

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Director
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Re: PS: Complicated Problem! Must Try! [#permalink]

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15 Dec 2005, 22:45
vivek123 wrote:
This is a problem a friend of mine gave me, who just wrote GMAT!

Cat has 1/2 the money that Dog has & 1/3 the money that Monkey has. What proportion of total money Cat has?

Beware, 1/6 is not in the answer choice...how?

May be it is 2/7
if yes I ll post my explanation later

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SVP
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15 Dec 2005, 22:59
Yurik79,
You can go ahead & explain as I don't have the choices with me!

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Director
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Re: PS: Complicated Problem! Must Try! [#permalink]

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15 Dec 2005, 23:05
vivek123 wrote:
This is a problem a friend of mine gave me, who just wrote GMAT!

Cat has 1/2 the money that Dog has & 1/3 the money that Monkey has. What proportion of total money Cat has?

Beware, 1/6 is not in the answer choice...how?

I am not sure if my approach is good
Cat=1/2d+1/3m
picking numbers if m=3 and d=2 cat=2 ratio is 2/7
m=6 and d=4 same
The trick IMHO in wordings Cat has 1/2 the money that Dog has & 1/3 the money that Monkey has.Does this mean that Cat has 1/2of dogs money or 1/3 of monkey's?
My opinion that it says 1/2d+1/3m

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CEO
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16 Dec 2005, 04:40
IMO, there is something wrong here.

C = D/2 and C = M/3

What we have to find is X = C/(C+D+M). Substitute D and M from above equations, X = C/(C+2C+3C) = 1/6

Lets see another approach

D:C = 2:1
C:M = 1:3
so D:C:M = 2:1:3 which also gives 1/6.

It seems a simple ration problem. What else it could be????
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Senior Manager
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Re: PS: Complicated Problem! Must Try! [#permalink]

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16 Dec 2005, 05:03
vivek123 wrote:
This is a problem a friend of mine gave me, who just wrote GMAT!

Cat has 1/2 the money that Dog has & 1/3 the money that Monkey has. What proportion of total money Cat has?

Beware, 1/6 is not in the answer choice...how?

I get 2/7.

Let Dog be 6, and monkey be 9.
So cat = 1/2(6) + 1/3(9) = 6
Total = 6 - cat + 6 - dog + 9 - Monkey = 21
Cat/Total = 6/21 = 2/7

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CEO
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Re: PS: Complicated Problem! Must Try! [#permalink]

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16 Dec 2005, 05:15
krisrini wrote:
vivek123 wrote:
This is a problem a friend of mine gave me, who just wrote GMAT!

Cat has 1/2 the money that Dog has & 1/3 the money that Monkey has. What proportion of total money Cat has?

Beware, 1/6 is not in the answer choice...how?

I get 2/7.

Let Dog be 6, and monkey be 9.
So cat = 1/2(6) + 1/3(9) = 6
Total = 6 - cat + 6 - dog + 9 - Monkey = 21
Cat/Total = 6/21 = 2/7

Opps...was not thinking this way....You are right.
_________________

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Last edited by ps_dahiya on 28 Dec 2005, 01:46, edited 1 time in total.

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Director
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16 Dec 2005, 05:27
C=D/2
C=M/3

therefore the proportion is:

C/(C+D+M)=C/(C+2C+3C) = 1/6

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Director
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16 Dec 2005, 07:20
the Q is unclear. It is not clear if C=1/2D and 1/3M or if C=1/2C+1/3M

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Director
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Re: PS: Complicated Problem! Must Try! [#permalink]

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16 Dec 2005, 10:40
Yurik79 wrote:
I am not sure if my approach is good
Cat=1/2d+1/3m
picking numbers if m=3 and d=2 cat=2 ratio is 2/7
m=6 and d=4 same
The trick IMHO in wordings Cat has 1/2 the money that Dog has & 1/3 the money that Monkey has.Does this mean that Cat has 1/2of dogs money or 1/3 of monkey's?
My opinion that it says 1/2d+1/3m

what if the numbers are 12 and 15.. I dont think this going to workk then..
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Manager
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16 Dec 2005, 10:56

Should C= 1/2D + 1/3M, the question would have been different.

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Senior Manager
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16 Dec 2005, 11:00
Kishore wrote:

Should C= 1/2D + 1/3M, the question would have been different.

I agree, just pick simple numbers

Cat - 50
Dog - 100
Monkey - 150

Cat/Total = 50/300 = 1/6

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Re: PS: Complicated Problem! Must Try! [#permalink]

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16 Dec 2005, 11:56
krisrini wrote:
vivek123 wrote:
This is a problem a friend of mine gave me, who just wrote GMAT!

Cat has 1/2 the money that Dog has & 1/3 the money that Monkey has. What proportion of total money Cat has?

Beware, 1/6 is not in the answer choice...how?

I get 2/7.

Let Dog be 6, and monkey be 9.
So cat = 1/2(6) + 1/3(9) = 6
Total = 6 - cat + 6 - dog + 9 - Monkey = 21
Cat/Total = 6/21 = 2/7

Good point... that is the case if CAT has two separate amounts. If it has 1/2 of dog's PLUS 1/3 of monkey's, and NOT 1/2 of dog's, which is also 1/3 of monkey's.
In that case you are right.

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SVP
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17 Dec 2005, 09:39
Hmm...pretty tricky problem! Good try folks!
I couldn't sleep because of this problem.

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Director
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18 Dec 2005, 05:51
vivek123 wrote:
Hmm...pretty tricky problem! Good try folks!
I couldn't sleep because of this problem.

Is there any OA?or OE?Anything?
I can't sleep now)))

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Director
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18 Dec 2005, 06:03
The question stem is flawed, as BG said, 1/6 as well as 2/7 is right depending on how you understand the question stem. I don't think it is a real GMAT question, because normally the GMAC formulates the questions crystal clear.

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18 Dec 2005, 06:34
Yurik79 wrote:
vivek123 wrote:
Hmm...pretty tricky problem! Good try folks!
I couldn't sleep because of this problem.

Is there any OA?or OE?Anything?
I can't sleep now)))

No No OA/OE for this one!
Let's hope such question is experimental

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Intern
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27 Dec 2005, 18:36
suppose
D=10
M=18

C = 1/2(10) + (1/3)18 = 5 + 6 = 11

Total = 11+10+18 = 39

hence cat as proportion of total = 11/39 is not 2/7?

I probably did something stupid

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Director
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27 Dec 2005, 20:15
shoe wrote:
suppose
D=10
M=18

C = 1/2(10) + (1/3)18 = 5 + 6 = 11

Total = 11+10+18 = 39

hence cat as proportion of total = 11/39 is not 2/7?

I probably did something stupid

IMHO your approach is good))Same as mine.Try to solve every proble, on this forum!It is very useful!I ve improved my quant section just solving problems here)

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29 Dec 2005, 03:09
thanks... I must say the quant questions are difficult and I'm stressing over the GMAT. I write mid Jan and I only started studying a couple of weeks ago.
Cheers

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29 Dec 2005, 03:09
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# This is a problem a friend of mine gave me, who just wrote

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