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Of the 200 members of a certain association, each member who

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Of the 200 members of a certain association, each member who [#permalink] New post 22 Mar 2008, 08:39
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 three languages?

1. 60 of the members speak only English
2. 20 of the members do not speak any of the three languages.
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Re: Group problem [#permalink] New post 22 Mar 2008, 08:56
C

members who speak any of the 3 languages = 200-20 = 180
members who speak two languages = 180-70-60=40 (There are no one who speaks only German)
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Re: Group problem [#permalink] New post 22 Mar 2008, 15:13
C

members who speak any of the 3 languages = 200-20 = 180
members who speak two languages = 180-70-60=40 (There are no one who speaks only German)

How did you find out that no one speaks German??
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Re: Group problem [#permalink] New post 22 Mar 2008, 17:11
axl_oz wrote:
C

members who speak any of the 3 languages = 200-20 = 180
members who speak two languages = 180-70-60=40 (There are no one who speaks only German)

How did you find out that no one speaks German??


"each member who speaks German also speaks English" - so no one speaks German alone, but there may be members who speak English alone or both Enligh and Spanish.
Re: Group problem   [#permalink] 22 Mar 2008, 17:11
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Of the 200 members of a certain association, each member who

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