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# In Jefferson School, 300 students study French or Spanish or

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Senior Manager
Joined: 10 Mar 2008
Posts: 343
In Jefferson School, 300 students study French or Spanish or [#permalink]

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25 Jul 2008, 00:53
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In Jefferson School, 300 students study French or Spanish or both. If 100 of these students do not study French, how many of these students study both French and Spanish?

(1) Of the 300 students, 60 do not study Spanish.
(2) A total of 240 of the students study Spanish

This is a straightforward problem and the best possible way to solve is by using the Venn diagrams. However, MGMAT (word translation guide) recommends that we use a table when dealing with two sets of data. While using the table methodology, I wasn't able to derive the right answer to this problem. Is this problem not compatible with the table methodology? Please advice. Thanks!
Senior Manager
Joined: 06 Apr 2008
Posts: 401

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25 Jul 2008, 00:54
vksunder wrote:
In Jefferson School, 300 students study French or Spanish or both. If 100 of these students do not study French, how many of these students study both French and Spanish?

(1) Of the 300 students, 60 do not study Spanish.
(2) A total of 240 of the students study Spanish

This is a straightforward problem and the best possible way to solve is by using the Venn diagrams. However, MGMAT (word translation guide) recommends that we use a table when dealing with two sets of data. While using the table methodology, I wasn't able to derive the right answer to this problem. Is this problem not compatible with the table methodology? Please advice. Thanks!

I would go with Venn diagrams for such problems
Senior Manager
Joined: 10 Mar 2008
Posts: 343

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25 Jul 2008, 01:15
WHy not the double set matrix method? What tells you that Venn diagram is the way to solve this problem and not the matrix.
Senior Manager
Joined: 06 Apr 2008
Posts: 401

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25 Jul 2008, 01:37
vksunder wrote:
WHy not the double set matrix method? What tells you that Venn diagram is the way to solve this problem and not the matrix.

Wherever I see words like "both" , "only" I prefer Venn
Senior Manager
Joined: 10 Mar 2008
Posts: 343

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25 Jul 2008, 01:49
How about when you see neither/either?
Senior Manager
Joined: 10 Mar 2008
Posts: 343

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25 Jul 2008, 05:41
Anyone willing to discuss this question?
Director
Joined: 12 Jul 2008
Posts: 513
Schools: Wharton

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25 Jul 2008, 05:49
vksunder wrote:
In Jefferson School, 300 students study French or Spanish or both. If 100 of these students do not study French, how many of these students study both French and Spanish?

(1) Of the 300 students, 60 do not study Spanish.
(2) A total of 240 of the students study Spanish

This is a straightforward problem and the best possible way to solve is by using the Venn diagrams. However, MGMAT (word translation guide) recommends that we use a table when dealing with two sets of data. While using the table methodology, I wasn't able to derive the right answer to this problem. Is this problem not compatible with the table methodology? Please advice. Thanks!

(1) and (2) say the same thing.

S + F - both = 300
240 + 200 - both = 300
both = 140

D
Re: DS: Overlapping sets   [#permalink] 25 Jul 2008, 05:49
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