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

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CEO
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Of the 200 members of a certain association, each member who [#permalink]

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08 Sep 2007, 22:46
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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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Manager
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09 Sep 2007, 06:35
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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Senior Manager
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09 Sep 2007, 07:46
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, 08:23, edited 1 time in total.

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Senior Manager
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09 Sep 2007, 08:03
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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CEO
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09 Sep 2007, 10:04
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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Senior Manager
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09 Sep 2007, 10:39
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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Senior Manager
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09 Sep 2007, 12:24
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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Manager
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09 Sep 2007, 21:39
Really sorry. I mean that's my typical mistake - need to reread conditions several time. C of course.

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GMAT Club Legend
Joined: 07 Jul 2004
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09 Sep 2007, 22:56
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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Senior Manager
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09 Sep 2007, 23:04
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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GMAT Club Legend
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09 Sep 2007, 23:19
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

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Manager
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10 Sep 2007, 09:59
Good Question
Just applying the Venn Diagram

you can create an equation

X + Y + Z = 50

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CEO
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10 Sep 2007, 15:59
How do we know the number of only German speakers is 0?

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SVP
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10 Sep 2007, 16:56
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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CEO
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10 Sep 2007, 16:59
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

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10 Sep 2007, 16:59
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