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Sets

by relaxin99 » Sun Feb 15, 2009 4:13 pm
Of the 200 memebers 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 three languages, how many of the members speak two of the three languages?

(1) 60 of the members speak only English
(2) 20 of the members do no speak any of the 3 languages


The answer is below....but can some please explain and work it out









the answer is C
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Source: — Data Sufficiency |
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by cramya » Sun Feb 15, 2009 4:27 pm
Refer here
https://www.beatthegmat.com/overlapping- ... 22191.html
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Re: Sets

by billzhao » Mon Feb 16, 2009 1:36 am
relaxin99 wrote:Of the 200 memebers 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 three languages, how many of the members speak two of the three languages?

(1) 60 of the members speak only English
(2) 20 of the members do no speak any of the 3 languages


The answer is below....but can some please explain and work it out

From the graph:

We need to find out: G+SE, which is the number of members who speak two of the three languages.

From the question: N+S+SE+E+G=200 and S=70
From (1) we have: E=60, so G+SE=200-N-S-E=200-N-70-60=70-N
thus insufficient.
From (2) we have: N=20, so G+SE=200-N-S-E=200-20-S-E=180-S-E, thus also insufficient.

Combine (1) and (2), We have G+SE=70-20=50, sufficient.

Answer is (C)









the answer is C
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