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# A batch of cookies was divided amomg 3 tins: 2/3 of all the

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Manager
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A batch of cookies was divided amomg 3 tins: 2/3 of all the [#permalink]  11 Nov 2009, 06:42
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Difficulty:

85% (hard)

Question Stats:

49% (02:52) correct 51% (01:48) wrong based on 146 sessions
A batch of cookies was divided amomg 3 tins: 2/3 of all the cookies were placed in either the blue or the green tin, and the rest were placed in the red tin. If 1/4 of all the cookies were placed in the blue tin, what fraction of the cookies that were placed in the other tins were placed in the green tin

A. 15/2
B. 9/4
C. 5/9
D. 7/5
E. 9/7
[Reveal] Spoiler: OA
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zaarathelab wrote:
A batch of cookies was divided amomg 3 tins: 2/3 of all the cookies were placed in either the blue or the green tin, and the rest were placed in the red tin. If 1/4 of all the cookies were placed in the blue tin, what fraction of the cookies that were placed in the other tins were placed in the green tin

A. 15/2
B. 9/4
C. 5/9
D. 7/5
E. 9/7

2/3 of all the cookies were placed in either the blue or the green tin: $$B+G=\frac{2}{3}*X$$
The rest were placed in the red tin: $$R=\frac{1}{3}*X$$
1/4 of all the cookies were placed in the blue tin: $$B=\frac{1}{4}*X$$.

What fraction of the cookies that were placed in the other tins (other then blue, or in Green and Red) were placed in the green tin: $$\frac{G}{G+R}=?$$

$$B+G=\frac{2}{3}*X$$ and $$B=\frac{1}{4}*X$$; --> $$\frac{1}{4}*X+G=\frac{2}{3}*X$$; --> $$G=\frac{5}{12}*X$$.

$$\frac{G}{G+R}=(\frac{5}{12}*X)/(\frac{5}{12}*X+\frac{1}{3}*X)=\frac{5}{9}$$

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zaarathelab wrote:
A batch of cookies was divided amomg 3 tins: 2/3 of all the cookies were placed in either the blue or the green tin, and the rest were placed in the red tin. If 1/4 of all the cookies were placed in the blue tin, what fraction of the cookies that were placed in the other tins were placed in the green tin

A. 15/2
B. 9/4
C. 5/9
D. 7/5
E. 9/7

Not a clear question! How one can infer/imply "other tins" mean "green + red tins"? Is that the massage the question supplying? How "other tins" is not mean "blue + red tins"?

Just to get the idea about the question i..e. how precisely and correctly the quesion is designed? Is it a question unnecessarily designed to be a tough or is it really tough?

For me, its not a standard GMAT level question.
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GMAT TIGER wrote:
Not a clear question! How one can infer/imply "other tins" mean "green + red tins"? Is that the massage the question supplying? How "other tins" is not mean "blue + red tins"?

Just to get the idea about the question i..e. how precisely and correctly the quesion is designed? Is it a question unnecessarily designed to be a tough or is it really tough?

For me, its not a standard GMAT level question.

If 1/4 of all the cookies were placed in the blue tin, what fraction that were placed in the other tins were placed in the green tin?

I think that the question implies that other tins then blue, as previously the stem in the same sentence was describing the fraction in blue tin.

I don't know the source but for me this could be the GMAT question.
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Quote:
Not a clear question! How one can infer/imply "other tins" mean "green + red tins"? Is that the massage the question supplying? How "other tins" is not mean "blue + red tins"?

Just to get the idea about the question i..e. how precisely and correctly the quesion is designed? Is it a question unnecessarily designed to be a tough or is it really tough?
For me, its not a standard GMAT level question.

Precisely! This question creates an ambiguity (other tins). I saw this today in the Kaplan 800 book. Its a fairly simple question otherwise. Just to make the question tough, Kaplan has created an ambiguity - which doesnt make any sense!

Bunuel, GMAT tiger, how would you rate the level of problems in the Kaplan 800 book (Quant/verbal)
Senior Manager
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I thought other tins as B+R and got 5/7.

Definitely the wording is ambiguous...
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zaarathelab wrote:
Quote:
Not a clear question! How one can infer/imply "other tins" mean "green + red tins"? Is that the massage the question supplying? How "other tins" is not mean "blue + red tins"?

Just to get the idea about the question i..e. how precisely and correctly the quesion is designed? Is it a question unnecessarily designed to be a tough or is it really tough?
For me, its not a standard GMAT level question.

Precisely! This question creates an ambiguity (other tins). I saw this today in the Kaplan 800 book. Its a fairly simple question otherwise. Just to make the question tough, Kaplan has created an ambiguity - which doesnt make any sense!

Bunuel, GMAT tiger, how would you rate the level of problems in the Kaplan 800 book (Quant/verbal)

Honestly I do not use Kaplan or PTR materials because the feedback from many forum members is that they do not provide OG level questions. Many Kaplan and PTR questions are flawed and sub-standard. They claim to be leaders in GMAT Prep but they ended up being too far to reality.

For me, retired ETS-GMAT questions, LSAT RC/CR, 1000 questions, Manhattan Gmat books are best.

I guess you can find the feedback on major gmat materials on this forum as well - will post if I find the link.
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Manager
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I agree that Kaplan is not a good source of difficult questions. Even the title, Kaplan 800, was changed to Kaplan "Advanced" because they acknowledged the fact that their questions were no where near the difficulty level of 800.

Anywho... Here is how I solved the question.

I think it is easier to just assume that the total number of cookies is "1":

This will help reduce the number of variables you have to deal with:

G + B = 2/3
R = 1/3
B = 1/4

We can solve for G which is 5/12

What fraction (let it equal X) of the cookies that were placed in the other tins were placed in the green tin?

So..

X*(G+R)=G

X*(5/12 + 1/3) = 5/12

X = 5/9

Intern
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I think that there is some ambiguity to the question.
Since there were 2/3 and 1/4 in the question, I assumed the total number of cookies to be 12 and worked from there. The answer came out to be 5/7. I am not sure about it coming to be 5/9.
Intern
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Location: India
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Let Total no. of cookies = 12 (LCM(3,4))
Cookies in Blue +Green Tin = (2/3)*12 = 8
Cookies in Red Tin = 12-8 = 4
Cookies in Blue tin = (1/4)*12 = 3
Cookies in Green Tin = 8-3 = 5
Green/other(other than Blue) = 5/(4+5) = 5/9 (C)
Senior Manager
Joined: 01 Feb 2010
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zaarathelab wrote:
A batch of cookies was divided amomg 3 tins: 2/3 of all the cookies were placed in either the blue or the green tin, and the rest were placed in the red tin. If 1/4 of all the cookies were placed in the blue tin, what fraction of the cookies that were placed in the other tins were placed in the green tin

A. 15/2
B. 9/4
C. 5/9
D. 7/5
E. 9/7

Ambigous question we will get G/B+R = 5/7 which is not even the answer choice.
Senior Manager
Joined: 22 Dec 2009
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GMAT TIGER wrote:

Honestly I do not use Kaplan or PTR materials because the feedback from many forum members is that they do not provide OG level questions. Many Kaplan and PTR questions are flawed and sub-standard. They claim to be leaders in GMAT Prep but they ended up being too far to reality.

For me, retired ETS-GMAT questions, LSAT RC/CR, 1000 questions, Manhattan Gmat books are best.

I guess you can find the feedback on major gmat materials on this forum as well - will post if I find the link.

Hi GT.... which books do you reckon for Quant. Manhattan Books are good.. but practise questions are too less. I need to practise some good 700 level question to improve and hence I need a good book! I tried checking PR 1012 but the book too many misprints and hence I didnt enjoy it much! Kinda misleads u! Any suggestion you have?
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Manager
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PS Word Problem Kaplan 600 [#permalink]  21 Sep 2010, 06:01
A batch of cookies was divided among three tins: 2/3 of all the cookies were placed in either the blue tin or the green tin, and the rest were placed in the red tin. If 1/4 of all the cookies were placed in the blue tin, what fraction of the cookies that were placed in the other tins were placed in the green tin?
A) 15/2
B) 9/4
C) 5/9
D) 7/5
E) 9/7

I was frustrated at this question by the way it worded. The OA is C, what the hell.
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Re: PS Word Problem Kaplan 600 [#permalink]  21 Sep 2010, 06:07
ezinis wrote:
A batch of cookies was divided among three tins: 2/3 of all the cookies were placed in either the blue tin or the green tin, and the rest were placed in the red tin. If 1/4 of all the cookies were placed in the blue tin, what fraction of the cookies that were placed in the other tins were placed in the green tin?
A) 15/2
B) 9/4
C) 5/9
D) 7/5
E) 9/7

I was frustrated at this question by the way it worded. The OA is C, what the hell.

B + G = 2/3
R = 1 - 2/3 = 1/3
B = 1/4
So G = 2/3 - 1/4 = 5/12
G/(G+R) = G/(1-B) = (5/12)/(3/4) = 5/9
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Re: PS Word Problem Kaplan 600 [#permalink]  23 Sep 2010, 13:42
shrouded1 wrote:
ezinis wrote:
A batch of cookies was divided among three tins: 2/3 of all the cookies were placed in either the blue tin or the green tin, and the rest were placed in the red tin. If 1/4 of all the cookies were placed in the blue tin, what fraction of the cookies that were placed in the other tins were placed in the green tin?
A) 15/2
B) 9/4
C) 5/9
D) 7/5
E) 9/7

I was frustrated at this question by the way it worded. The OA is C, what the hell.

B + G = 2/3
R = 1 - 2/3 = 1/3
B = 1/4
So G = 2/3 - 1/4 = 5/12
G/(G+R) = G/(1-B) = (5/12)/(3/4) = 5/9

How did u assumed that it has to be G/(G+R) instead of (B+R) ?
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Re: PS Word Problem Kaplan 600 [#permalink]  23 Sep 2010, 14:03
onedayill wrote:
How did u assumed that it has to be G/(G+R) instead of (B+R) ?

The question says 1/4th were placed in the blue tin, what percentage of the ones placed in the other tins ....

So other tins ==> Green + Red
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deepkap wrote:
I think that there is some ambiguity to the question.
Since there were 2/3 and 1/4 in the question, I assumed the total number of cookies to be 12 and worked from there. The answer came out to be 5/7. I am not sure about it coming to be 5/9.

You, like me, have computed G/B+R. It is a confusing question.
Senior Manager
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I have been using Kaplan 800. I cant say anything about the entire book yet as i have not completed it. I have completed Sentence Correction , DS and half way through PS.

I can say that the PS algebra and word problems are in the 700-800 range. They have helped me a lot so far. The geometry is below 700.

Sentence Correction is also good.

DS is probably in the low 700-800 range. But i found this book to be more challenging than any other material available so it does help you for that gotcha questions on the exam
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Re: PS Word Problem Kaplan 600 [#permalink]  03 Jan 2014, 05:51
shrouded1 wrote:
onedayill wrote:
How did u assumed that it has to be G/(G+R) instead of (B+R) ?

The question says 1/4th were placed in the blue tin, what percentage of the ones placed in the other tins ....

So other tins ==> Green + Red

Yes, agree with Shrouded1. I mean the question is tricky but there's a slight difference between being tricky and being ambiguous.

In this case, I don't think it is ambiguous to the point that it would not be a valid GMAT question.

So yeah, one needs to read very carefully. And obviously if the answer choice 5/7 doesn't pop out, then there must be something else going on no?

Cheers!
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Re: A batch of cookies was divided amomg 3 tins: 2/3 of all the [#permalink]  19 Jan 2015, 06:35
Even I solved the fraction as G/(B+R)=5/7 , which does not match with any of the given choices.
Lets re look at the question "If 1/4 of all the cookies were placed in the blue tin, what fraction of the cookies that were placed in the other tins were placed in the green tin?"

If B=1/4 then others will be = 1-(1/4)=3/4
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Re: A batch of cookies was divided amomg 3 tins: 2/3 of all the   [#permalink] 19 Jan 2015, 06:35

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