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English, Spanish and German

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by ashforgmat » Sun May 16, 2010 9:01 pm
196) Of 200 members, each member who speaks German also speaks English, and 70 of members only speak Spanish. If no member speaks all 3 languages, how many of the members speak 2 of the 3 languages?
a. 60 members speak only English
b. 20 members do not speak any of the 3 languages
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by ballubalraj » Mon May 17, 2010 12:53 am
Only Spanish=70; All German speaking also speak English.

Statement 1: Only English = 60; no information on how many people do not speak any of these languages. Hence it can not be determined how many people speak 2 languages. Insufficient.


Statement 2: 20 Do not speak any language; no information on how many speak only engligh. In sufficient.

Putting them together: From remaining 50 (200-70-60-20), few speak German and English and few Spanish and English. Sufficient.

My answer C.
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by sanju09 » Mon May 17, 2010 3:38 am
ashforgmat wrote:196) Of 200 members, each member who speaks German also speaks English, and 70 of members only speak Spanish. If no member speaks all 3 languages, how many of the members speak 2 of the 3 languages?
a. 60 members speak only English
b. 20 members do not speak any of the 3 languages
G, E, and S are three sets such that n (G ∪ E ∪ S) = 200, with n (G ∩ E) = n (G), n (S - E) = 70, and n (G ∩ E ∩S) = 0. It's not clear that n (E) = 130 or less as we are not told that there are members who do not speak any of the 3 languages.

What is n (G) + n (E ∩ S)?

(1) If n (E - S) - n (G) = n (only E) = 60, then n (G) + n (E ∩ S) = n (E) - 60. Insufficient

(2) If 20 members do not speak any of the 3 languages, then n (E) = 130 - 20 = 110, and n (G) + n (E ∩ S) = 110 - n (only E). Insufficient

Taken as one...


With n (only E) = 60 and n (E) = 130 - 20 = 110, n (G) + n (E ∩ S) = [spoiler]110 - 60 = 50.

C[/spoiler]
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by NAKAMONIEL » Sat Sep 04, 2010 1:24 pm
First i got confused about this problem. I know it says 70 speak only spanish, 60 speak only english and 20 speak none together. I know answer cant be A or B. but since rest 50 ( 200-70-60-20) can not speak just 1 language( since all 1 language speaking are accounted for) and they cant speak none either, they have to speak equal to or more than 2 languages hence C is the answer.
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