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Of the students who eat in a certain cafeteria, each student

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Of the students who eat in a certain cafeteria, each student [#permalink] New post 25 Dec 2007, 07:27
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Of the students who eat in a certain cafeteria, each student either likes or dislikes lima beans and each stident either likes or dislikes brussel sprouts. Of these studenst, 2/3 students dislike lima beans, and of those who dislike lima beans, 3/5 also dislike brussel sprouts. How many of the students like brussel sprouts but dislike lima beans

1. 120 students eat in the cafeteria
2. 40 of the students like lima beans
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 [#permalink] New post 25 Dec 2007, 10:38
2/3 dislike lima beans
3/5 of 2/3 dislike brussel sprouts
1/3 like lima beans

1. 120 eat in the cafeteria

from this we know:

80 dislike lima beans
40 like lima beans
48 dislike lima beans AND brussel sprouts

INSUFFICIENT

2. 40 of the students like lima beans

from this we can get all the information we have above. It doesn't add anything new

INSUFFICIENT

together: still insufficient. We know that 2/5 of the 2/3 like brussel sprouts, but we don't know anything about the other 1/3.

Answer: E
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Re: DS - likes and dislikes [#permalink] New post 25 Dec 2007, 13:58
gregspirited wrote:
Of the students who eat in a certain cafeteria, each student either likes or dislikes lima beans and each stident either likes or dislikes brussel sprouts. Of these studenst, 2/3 students dislike lima beans, and of those who dislike lima beans, 3/5 also dislike brussel sprouts. How many of the students like brussel sprouts but dislike lima beans

1. 120 students eat in the cafeteria
2. 40 of the students like lima beans



I think the answer should be D. Any statement should be sufficient .
Question is saying that " who eat in a certain cafeteria, each student either likes or dislikes lima beans and each stident either likes or dislikes brussel sprouts" ==> Every student must like or dislike Beans & Brussle Spruts.==> It is impossible to have few students who neither like nor dislike Brussl . & who neither like nor dislike Lima beans.

Say total no of Students = x

2/3 of them dislike Lima Beans=2x/3 ==> remaining x/3 must like Beans.
3/5 of 2x/3 dislike Brussle Sprouts = 2x/5( Dislike Lima Beans & Brussle Sprouts)==> Remaing ( 2x/3-2x/5) of 2x/3 should like Brussle Sprouts & Dislike Lema Beans.

Implies 4x/15 students Dislike Lema Beans & Likes Brussle Sprouts.

St 1: says x=120 . SUFF to find the value of 4x/15.
St 2: says x/3 =40 . SUFF to find x and then 4x/15.

So it should be D . anyways ,What is the OA??
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Re: DS - likes and dislikes [#permalink] New post 25 Dec 2007, 14:11
vemulapalli sravan wrote:
gregspirited wrote:
Of the students who eat in a certain cafeteria, each student either likes or dislikes lima beans and each stident either likes or dislikes brussel sprouts. Of these studenst, 2/3 students dislike lima beans, and of those who dislike lima beans, 3/5 also dislike brussel sprouts. How many of the students like brussel sprouts but dislike lima beans

1. 120 students eat in the cafeteria
2. 40 of the students like lima beans



I think the answer should be D. Any statement should be sufficient .
Question is saying that " who eat in a certain cafeteria, each student either likes or dislikes lima beans and each stident either likes or dislikes brussel sprouts" ==> Every student must like or dislike Beans & Brussle Spruts.==> It is impossible to have few students who neither like nor dislike Brussl . & who neither like nor dislike Lima beans.

Say total no of Students = x

2/3 of them dislike Lima Beans=2x/3 ==> remaining x/3 must like Beans.
3/5 of 2x/3 dislike Brussle Sprouts = 2x/5( Dislike Lima Beans & Brussle Sprouts)==> Remaing ( 2x/3-2x/5) of 2x/3 should like Brussle Sprouts & Dislike Lema Beans.

Implies 4x/15 students Dislike Lema Beans & Likes Brussle Sprouts.

St 1: says x=120 . SUFF to find the value of 4x/15.
St 2: says x/3 =40 . SUFF to find x and then 4x/15.

So it should be D . anyways ,What is the OA??



OA is D. This is a GMATPrep question
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Re: DS - likes and dislikes [#permalink] New post 21 Feb 2008, 14:39
"who eat in a certain cafeteria, each student either likes or dislikes lima beans and each stident either likes or dislikes brussel sprouts" is quite a distraction. it just means every spot in the matrix is filled and none of them have zero students.
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Re: DS - likes and dislikes [#permalink] New post 21 Feb 2008, 20:04
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Thanks to you folks at GMATClub I am now able to solve such problems with the grid approach...


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Re: DS - likes and dislikes [#permalink] New post 21 Feb 2008, 21:03
double matrix gives me D

4 column: likes beans, dislike beans and likes sprouts, dislikes sprouts. Let total number of students =x. From the stem, we know that total of those who dislike lima beans is 2x/3, therefore, total of those who like lima beans must be x/3

We are also told that those who dislike lima beans and sprouts is 2x/5 .... therefore, those who like sprouts but dislike beans is 2x/3-2x/5 = 4x/15. This is the quantity that we want to find out. All we need to know is 'x'

stat 1 tells us x =120. We can find out what 4x/15 is. Suff.

stat 2 tells us that x/3 = 40, so we can find out x and then 4x/15. Suff.
Re: DS - likes and dislikes   [#permalink] 21 Feb 2008, 21:03
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