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V/NV

by ronnie1985 » Tue May 22, 2012 11:17 am
Guests at a recent party ate a total of fifteen hamburgers. Each guest who was neither a student nor a vegetarian ate exactly one hamburger. No hamburger was eaten by any guest who was a student, a vegetarian, or both. If half of the guests were vegetarians, how many guests attended the party?
(1) The vegetarians attended the party at a rate of 2 students to every 3 non-students, half the rate for non-vegetarians.
(2) 30% of the guests were vegetarian non-students.
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by GmatKiss » Tue May 22, 2012 12:33 pm
IMO:A
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by ronnie1985 » Wed May 23, 2012 7:39 am
I need explanations not answers
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by r2kins » Wed May 23, 2012 11:22 am
In my opinion, it should be A.

1. Create two double matrices - one for # of people and another for # of burgers
2. Design each of the matrices in the following manner - Column = V/NV/Total ; Row = S/NS/Total
3. Plug in the values that are given (ex. 15 in the total for # of burgers etc)
4. Key input is that in the NS/NV category, each person ate just one burger
5. Establish a co-relation btw burgers and pple
6. Can be solved using info in statement 1, but not 2, Hence A

Please share the OA.
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by ronnie1985 » Sat May 26, 2012 6:34 am
OA is [spoiler](A)[/spoiler]
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by ankita1709 » Mon May 28, 2012 10:14 am
Can you please explain it in detail
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by aneesh.kg » Mon May 28, 2012 10:47 am
ronnie1985 wrote:Guests at a recent party ate a total of fifteen hamburgers. Each guest who was neither a student nor a vegetarian ate exactly one hamburger. No hamburger was eaten by any guest who was a student, a vegetarian, or both. If half of the guests were vegetarians, how many guests attended the party?
(1) The vegetarians attended the party at a rate of 2 students to every 3 non-students, half the rate for non-vegetarians.
(2) 30% of the guests were vegetarian non-students.
One has to the language of this problem really carefully.

Since only those guests who were neither students nor vegetarian ate one each of the 15 hamburgers,
Number of hamburgers = Number of guests who were neither Student nor Hamburger = 15 (This is the KEY information!)

Now, make a table for each statement as shown below:

Image

[spoiler](A)[/spoiler] is correct.
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