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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- naveenhv
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- vikram4689
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Re: Overlapping Sets
only 5 cases exist:
1. Eng + Spanish
2. Eng + German
3. Only Eng
4. Only Spanish
5. Those who do not speak any language
We need to find sum of 1 and 2.
3. is given in option a), 4. is given in question, 5 is given in option b)
So answer is C .
1. Eng + Spanish
2. Eng + German
3. Only Eng
4. Only Spanish
5. Those who do not speak any language
We need to find sum of 1 and 2.
3. is given in option a), 4. is given in question, 5 is given in option b)
So answer is C .
- jnelson0612
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Re: Overlapping Sets
Very nice vikram. naveen, let us know if you need further assistance.
Jamie Nelson
ManhattanGMAT Instructor
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- cuteraghav892005
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Re: Overlapping Sets
Is the answer 50???
- jnelson0612
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Re: Overlapping Sets
cuteraghav892005 Wrote:Is the answer 50???
If we actually solve the problem, yes, that looks right to me.
Jamie Nelson
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- abhizin
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Re: Overlapping Sets
What about
Spanish + German
in
1. Eng + Spanish
2. Eng + German
3. Only Eng
4. Only Spanish
5. Those who do not speak any language
Spanish + German
in
1. Eng + Spanish
2. Eng + German
3. Only Eng
4. Only Spanish
5. Those who do not speak any language
- jnelson0612
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Re: Overlapping Sets
abhizin Wrote:What about
Spanish + German
in
1. Eng + Spanish
2. Eng + German
3. Only Eng
4. Only Spanish
5. Those who do not speak any language
Sorry, do you have a question?
Jamie Nelson
ManhattanGMAT Instructor
ManhattanGMAT Instructor
- ali_sha12j
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Re: Overlapping Sets
abhizin Wrote:What about
Spanish + German
in
1. Eng + Spanish
2. Eng + German
3. Only Eng
4. Only Spanish
5. Those who do not speak any language
the question said that no member speaks all three languages. plus, those who speak german also speak english. so there is no overlapping of german and spanish. so, spanish+german=0.
- RonPurewal
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Re: Overlapping Sets
ali_sha12j Wrote:the question said that no member speaks all three languages. plus, those who speak german also speak english. so there is no overlapping of german and spanish. so, spanish+german=0.
yep.
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