IMO:A

I need explanations not answers

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.

OA is [spoiler](A)[/spoiler]

Can you please explain it in detail

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:



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