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A social club has 200 members. Everyone in the club who

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A social club has 200 members. Everyone in the club who [#permalink] New post 13 Sep 2010, 10:01
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A social club has 200 members. Everyone in the club who speaks German also speaks English. 70 members only speak Spanish. If no one speaks all 3 languages, how many speak 2 out of 3 languages?

(1) 60 only speak English
(2) 20 don't speak any of the 3 languages
[Reveal] Spoiler: OA
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Re: data sufficiency question [#permalink] New post 13 Sep 2010, 10:17
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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 member speaks all three languages, how many of the members speak two of the 3 languages?

Venn diagram is the best way to solve this question. So here are the tips for it:
From the stem if 70 speaks only Spanish and no student speaks three languages, max # of students who speaks two languages is 200-70=130.
Note that if ALL who speaks German speaks English means that no student speaks ONLY German, but not vise-versa, meaning that there may be the students who speak English only.
Also note there may be the students among 200 who speak no English, German or Spanish.

So, basically we need to determine the number of students who speak only English and the number of students who doesn't speak any languages and subtract this from 130 (as we already subtracted only Spanish and know that there are no only German).

(1) 60 speaks ONLY English, max # of students who speaks two languages is 200-70-60=70. But we don't know how this 70 is split: don't know how many don't speak any of the languages. Not sufficient.

(2) 20 don't speak any of the language. Clearly insufficient.

(1)+(2) 70-20(any languages)=50 (# of students who speak two languages).

Answer: C.
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Sets [#permalink] New post 16 Sep 2010, 00:19
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Of the 200 members of a certain asociation, each member who speaks German also speaks English, and 70 of the members speak only Spanish. If no member speaks all three languages, how many of the members speak two of the three languages?

A) 60 of the memebrs speak only English.
B) 20 of the members do not speak any of the languages.
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Re: Sets [#permalink] New post 16 Sep 2010, 00:33
Number who speak exactly two of three languages = (Total - Those who speak none - Those who speak exactly 1 lang - those who speak all 3 languages)

(1) Not sufficient since it does not tell us how many dont speak any language
(2) Not sufficient since we cannot conclude from this how many speak just one language (we know about english but not spanich)

(1) + (2) Sufficient

Total = 200
Speak none = 20
Speak exactly 1 = 60 (E) + 70 (S) + 0 (G, as all who speak german also speak english)
Speak all three = 0
Hence exactly two = 50

Answer = (C)
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Re: Sets [#permalink] New post 16 Sep 2010, 02:34
shrouded1 wrote:
Number who speak exactly two of three languages = (Total - Those who speak none - Those who speak exactly 1 lang - those who speak all 3 languages)

(1) Not sufficient since it does not tell us how many dont speak any language
(2) Not sufficient since we cannot conclude from this how many speak just one language (we know about english but not spanich)

(1) + (2) Sufficient

Total = 200
Speak none = 20
Speak exactly 1 = 60 (E) + 70 (S) + 0 (G, as all who speak german also speak english)
Speak all three = 0
Hence exactly two = 50

Answer = (C)

Thanks Shrouded 1. I was confused with the German (who speak Spanish) part. Thanks for the explanation.
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Re: data sufficiency question [#permalink] New post 01 Sep 2011, 00:51
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from the info:
E=G
y=those who speak 2/3 lang
n=who dont speak any lang

200=E+G+70-y+n

A) E=G=60. we still don't know 'n', so INSUFFICIENT.
B) n=20, but we don't know E or G.

C) sufficient to calculate y.
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Re: A social club has 200 members. Everyone in the club who [#permalink] New post 14 Feb 2014, 04:05
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Re: A social club has 200 members. Everyone in the club who   [#permalink] 14 Feb 2014, 04:05
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