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Of the 200 members of a certain association, each member who [#permalink]
 12 Mar 2006, 23:40
Question Stats:
45% (02:17) correct
55% (02:20) wrong based on 20 sessions
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 3 languages, how many of the members speak 2 of the 3 languages? (1) 60 members speak only english (2) 20 membes do not speak any of the 3 languages. OPEN DISCUSSION OF THIS QUESTION IS HERE: a-social-club-has-200-members-everyone-in-the-club-who-100935.html
Last edited by Bunuel on 08 Aug 2012, 04:59, edited 1 time in total.
OA added.
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Manager
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C
The member who speak 2 of three languages are = German Speakers + English and Spanish Speakers....
and using the conditions given we know that 200 people are divided in the below mutual sets...
Engilsh only (60)
Spanish only(70)
German + English
English + Spanish
None of above(20)
so the ones who speak (German + English) or (English + Spanish) = 200-60-70-20
=50
So we need both options to get the answer...
Last edited by Rocky on 13 Mar 2006, 21:51, edited 1 time in total.
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1) English only = 60. Spanish only = 70. English+German = x. English + Spanish = y. Can't solve. Insufficient.
2) Can't solve either as we only know Spanish only = 70 and None = 20.
Using both:
(German + English) + (English only) + (English + Spanish) + (Spanish only) + None = 200
(German + English) + (English + Spanish) = 200 - 60 - 70 - 20 = 30
Ans C
Note:
1) German only = 0 since each memeber who speaks german also speaks english
2) German + Spanish = 0 for the same reason.
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That nets to 50  . You wrote 30. typo I guess. ywilfred you are as articulate as always. Thanks
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Yes, It was a typo... corrected it.... sorry....
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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 members speaks all 3 languages, how many of the members speak 2 of the 3 languages?
1) 60 of the members speak only English.
2) 20 of the members do not speak any of the 3 languages.
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jlui4477 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 members speaks all 3 languages, how many of the members speak 2 of the 3 languages?
1) 60 of the members speak only English.
2) 20 of the members do not speak any of the 3 languages.
Out of 200, 70 speak only Spanish. Therefore, 130 speak English only, or a combination of two languages, or none of these languages.
From 1, 60 speak English only. Thus, 70 speak German and English, and Spanish and English, or none of these languages. Not sufficient.
From 2, 20 don't speak any of these languages. Also, 70 speak only Spanish. Thus, 110 speak Only English or German and English. Since we don't know how many people speak only English, this too isn't sufficient.
Combining 1 and 2, the answer is 50. Hence C.
_________________
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Also got C by using Venn Diagram. However if i didn't consider possibilty statement (2), would've made the mistake of choosing A.  Yikes
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sm176811/ Hermione
Can you pl explain how you got this using venn diagram.
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Answer is C
x + y + 60 + 70 + 20 = 100 (where x and y are ppl speaking German and English, English and spanish respectively)
so x + y = 50....!
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GMATPrep: Of the 200 members of a certain assocation... [#permalink]
12 Oct 2007, 12:09
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?
(1) 60 of the members speak only English
(2) 20 of the members do not speak any of the three languages
Is it best to use a Venn Diagram to solve this?
I think I got thrown off by the statement ' each member who speaks German also speaks English' --- I assume that it cannot work in reverse (i.e., that each member who speaks English also speaks Spanish) - correct?
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Yes using Venn Diagram is best.
Total = 200
Only Spanish = 70
Statement 1
Only English = 60
insufficient
Statement 2
None = 20
insufficient
both satements
200 - 20 = 180 speak at least one language.
since 70 speak only Spanish and 60 speak only English and since each member who speaks German also speaks English (but not the other way around) then:
180 - 70 - 60 = 50
no more then 50 people can speak German and they have to speak also English.
either way they speak two languages (even if its English and Spanish).
the answer is 50.
sufficient
the answer is (C)
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I could not draw Venn for it, but foud it easy to do the following
we know
200 people
Spanish only 70, so we have 130 left
no member speaks 3 languages
we need to find German speakers who speak Enlgish
1. English speakers only 60, so 130-60=70 nonspeakers and E and G together
2. No language speakers 20, so 70-20=50 EandG
so C
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Venn Diagram
Green = only Spanish = 70
Blue = only English = 60
Red = three languages = 0
since 20 members speak none then 200-20 = 180
that leaves 180-60-70 = 50 for the yellow and gray.
since both the yellow and gray represents member with two languages then the answer is 50.
Attachments
untitled.JPG [ 12.48 KiB | Viewed 3134 times ]
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KillerSquirrel wrote: Venn DiagramGreen = only Spanish = 70 Blue = only English = 60 Red = three languages = 0 since 20 members speak none then 200-20 = 180 that leaves 180-60-70 = 50 for the yellow and gray. since both the yellow and gray represents member with two languages then the answer is 50.
nice work, KillerSquirrel, forgot that overlap can be 0.
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KillerSquirrel,
I have couple of questions - used Venn diagram
1. Till I read St2 I did not think that there would be ppl who cannot speak either language so I came with Ans A.
G - only German
S - only Spanish
E - only ENglish
a - GE
b- GS
c SE
d - all 3 =0
G + A + B + C + E + 70 = 200
Now G = 0 as whoever speaks G also speaks E
Sicne d = 0, b also is 0 (otherwise there would be ppl who can speak 3 lang)
Since E = 60
A + B + C = 70 and thats how I came w/ A.
In many problems like these we don't hv neither case? How can be sure of that.
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lnaik wrote: KillerSquirrel,
I have couple of questions - used Venn diagram
1. Till I read St2 I did not think that there would be ppl who cannot speak either language so I came with Ans A.
G - only German
S - only Spanish
E - only ENglish
a - GE
b- GS
c SE
d - all 3 =0
G + A + B + C + E + 70 = 200
Now G = 0 as whoever speaks G also speaks E
Sicne d = 0, b also is 0 (otherwise there would be ppl who can speak 3 lang)
Since E = 60
A + B + C = 70 and thats how I came w/ A.
In many problems like these we don't hv neither case? How can be sure of that.
http://www.gmatclub.com/forum/t52560
http://www.gmatclub.com/forum/t50919
http://www.gmatclub.com/forum/t51534
I just enclosed three random problems I found using search. All of them use the neither option, so you assumption is wrong.
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Re: GMATPrep: Of the 200 members of a certain assocation... [#permalink]
13 Oct 2007, 23:09
slsu 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 3 languages?
(1) 60 of the members speak only English
(2) 20 of the members do not speak any of the three languages
Is it best to use a Venn Diagram to solve this?
I think I got thrown off by the statement ' each member who speaks German also speaks English' --- I assume that it cannot work in reverse (i.e., that each member who speaks English also speaks Spanish) - correct?
S1:
Insufficient. I really wanted to answer Suff. for this question, but I then realized that it doesn't say anywhere that everyone speaks at least one of the languages. If they did then im pretty sure this would be sufficient.
200-60-70= 70. But among these 70 we don't know who doesn't speak any of the languages.
S2: Insuff.
Together we know who doesn't speak any of the three languages. So we have 50 people left.
C.
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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 three languages?
(1) 60 of the members speak only English
(2) 20 of the members do not speak any of the three languages.
Please explain your answer.
Thanks
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"C" seems to be right. 200=70(only Spanish)+60(only English)+20(do not speak any of the three languages)+0(no member speaks all three languages)+x(two languages) x=50
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