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GMAT Prep 2 DS Question

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by rickyishere » Wed Aug 25, 2010 7:02 pm
Hi folks,

Need some help again:)

Of the 200 members of a certain association, each member who speaks German also speaks English and 70 of the members speak only Spanish. If no members speak all 3 languages, how many members speak 2 of the 3 languages?

a) 60 of the members speak only English

b) 20 of the members do not speak any of the 3 languages

Thanks
-Ricky
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Source: — Data Sufficiency |
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by 4GMAT_Mumbai » Wed Aug 25, 2010 8:23 pm
Hi,

Preprocessing of information:
G is a proper subset of E

A person who talks Spanish CANNOT speak German - because it will imply that he can speak English also.

Hence, SG (read as spanish intersection german) = 0

Statement 1:

Only E = 60.

So, 60 + 70 + EG + ES + None of these three = 200.

What is asked? EG + ES. Since I do not know the last component of the previous equation, I cannot find EG + ES. Insuff.

Statement 2:

None of these three = 20.

So, Only E + 70 + EG + ES + 20 = 200.

Since I do not know 'Only E', I cannot find EG + ES. Insuff.

Combine statements:

Only E = 60 and None of these three = 20.

So, 60 + 70 + EG + ES + 20 = 200. We can indeed find EG + ES. Hence, suff.

Pick is C. OA please.

Thanks.
Naveenan Ramachandran
4GMAT, Dadar(W) & Ghatkopar(W), Mumbai
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by Rich@VeritasPrep » Wed Aug 25, 2010 8:55 pm
Here's a little visual representation:

https://docs.google.com/drawings/pub?id ... =960&h=720
Rich Zwelling
GMAT Instructor, Veritas Prep
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