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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 08 Sep 2007, 21:46
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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 [#permalink] New post 09 Sep 2007, 05:35
I think the right answer is E the reason being we do not know how many people speak all the three languages. Any suggestions?
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Re: GMAT Prep Languages [#permalink] New post 09 Sep 2007, 06:46
GMATBLACKBELT wrote:
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


I think it's E

Corrected explanation:
We can imagine three circles accounting for 200-20=180 people who speaks either language. German circle is inscribed in or equal to English circle. Spanish circle intersects or does not inersect English circle (but does not intersect German circle, because no members speak 3 languages). Since we do not know how many people speak both spanish and english we have no answer.

Last edited by Vlad77 on 09 Sep 2007, 07:23, edited 1 time in total.
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 [#permalink] New post 09 Sep 2007, 07:03
As there is not people speaking any three languages we don't need it.

total members - 200
only Spanish - 70
all three - 0
only German - 0
Only English
all German speak English - z
German & Spanish - x
English & Spanish - y
None of three

1) insufficient, since there is no info about people speaking in none of lang.
2) insufficient, no info about only english speakers

together sufficient,

200 - 70 - 0 - 0 - 60 - 20 = x+y+z
50 = x+y+z

Ans: C

AO?
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 [#permalink] New post 09 Sep 2007, 09:04
Nice OA is C. I guessed on this one btwn C and E. b/c I thought drawing the venn diagram would just take too much time.
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 [#permalink] New post 09 Sep 2007, 09:39
GMATBLACKBELT wrote:
Nice OA is C. I guessed on this one btwn C and E. b/c I thought drawing the venn diagram would just take too much time.


Agree, now I see a flaw in my reasoning:

200-20=E+S+(GE+SE) => (GE+SE)=180-70-60=50
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 [#permalink] New post 09 Sep 2007, 11:24
GMATBLACKBELT wrote:
Nice OA is C. I guessed on this one btwn C and E. b/c I thought drawing the venn diagram would just take too much time.


Why you ppl are getting confuse with E?
question clearly mentions that If no member speaks all three languages....
A is not sufficient cause you dont know how many members dont speak any of the 3 language.
B is clearly insufficient.

Together, we have English + German, English only, Spenish only and none of them....all relevent information to get to the answer.
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 [#permalink] New post 09 Sep 2007, 20:39
Really sorry. I mean that's my typical mistake - need to reread conditions several time. C of course.
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 [#permalink] New post 09 Sep 2007, 21:56
If you draw a venn diagram, you will find that 60+70+20+a+b+c = 200 where a = people who speak german and english (incidentally, also everyone who speaks german), b = people who speak german and spanish and c = people who speak spanish and english. So

a+b+c = 70 --> a+b+c = all people who speaks 2 languages.
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 [#permalink] New post 09 Sep 2007, 22:04
ywilfred wrote:
If you draw a venn diagram, you will find that 60+70+20+a+b+c = 200 where a = people who speak german and english (incidentally, also everyone who speaks german), b = people who speak german and spanish and c = people who speak spanish and english. So

a+b+c = 70 --> a+b+c = all people who speaks 2 languages.


There are no people who speak german and spanish since all germans speak english and there are no people who speak 3 languages. Besides, a+b+c=50
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 [#permalink] New post 09 Sep 2007, 22:19
Vlad77 wrote:
ywilfred wrote:
If you draw a venn diagram, you will find that 60+70+20+a+b+c = 200 where a = people who speak german and english (incidentally, also everyone who speaks german), b = people who speak german and spanish and c = people who speak spanish and english. So

a+b+c = 70 --> a+b+c = all people who speaks 2 languages.


There are no people who speak german and spanish since all germans speak english and there are no people who speak 3 languages. Besides, a+b+c=50


oops :oops:
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 [#permalink] New post 10 Sep 2007, 08:59
Good Question
Just applying the Venn Diagram

you can create an equation

X + Y + Z = 50

so the answer is C
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 [#permalink] New post 10 Sep 2007, 14:59
How do we know the number of only German speakers is 0?
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 [#permalink] New post 10 Sep 2007, 15:56
GMATBLACKBELT wrote:
How do we know the number of only German speakers is 0?


because everyone who speaks German also speaks English :)
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 [#permalink] New post 10 Sep 2007, 15:59
pmenon wrote:
GMATBLACKBELT wrote:
How do we know the number of only German speakers is 0?


because everyone who speaks German also speaks English :)



rofl DUHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH
  [#permalink] 10 Sep 2007, 15:59
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