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In Jefferson School, 300 students study French or Spanish or [#permalink]
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11 Dec 2009, 13:34
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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.
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Last edited by Bunuel on 15 Feb 2012, 12:36, edited 1 time in total.
Edited the question and added the OA



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Re: OG 12th edition  DS [#permalink]
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11 Dec 2009, 19:05
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Is the answer D, either statement is sufficient?
Given Total students who who study S or F or both=300 Those who study S=200
(1) Of the 300 students, 60 do not study Spanish. Those who study F = 30060=240
240+200=440 students in F and S classes
Since only 300 students are in the school, the overlap is 440300=140, who study both
====>sufficient
(2) A total of 240 of the students study Spanish.
240+200=440 students in F and S classes
Since only 300 students are in the school, the overlap is 440300=140, who study both
====>sufficient



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Re: OG 12th edition  DS [#permalink]
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21 Jun 2010, 15:37
ISBtarget 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. I think on the basis of the underlined parts, we take number of neither French nor Spanish = 0?
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Re: OG 12th edition  DS [#permalink]
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18 Jul 2010, 12:47
What is the OA here?
Can someone please qualify this statement "I think on the basis of the underlined parts, we take number of neither French nor Spanish = 0?"
When to decide on this? Will a GMAT question be very explicit? I have never seen a scenario before where we took 'neither X nor Y = 0' (this particular stem is now making me think about all those previous GMAT questions that i had practiced in the past. Not sure, how exactly where they phrased)
Can someone please comment? Thanks.
rp



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Re: OG 12th edition  DS [#permalink]
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11 Oct 2010, 03:05
since we come to know from the main statement that 100 study only Spanish. What about the F+ S student num? from 1) Of the 300 students, 60 do not study Spanish. So 60 study french ==> 240 study spanish so 240 100 ( only spanish from main statement) = 40 both F+ S
1. is suffi...
(2) A total of 240 of the students study Spanish.
240  100 ( only spanish ) = 140 is F+S students
(2) also Suffi.... So, D wins



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Re: In Jefferson School, 300 students study French or Spanish or [#permalink]
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15 Feb 2012, 12:26
I do not understand how we assume that Jefferson School has only 300 students. If this is not the total number then we cannot say anything from the statements, so answer is E. Am I right??



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In Jefferson School, 300 students study French or Spanish or [#permalink]
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15 Feb 2012, 12:50
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tom09b wrote: I do not understand how we assume that Jefferson School has only 300 students. If this is not the total number then we cannot say anything from the statements, so answer is E. Am I right?? We are not assuming that. We are told that "in Jefferson School, 300 students study French or Spanish or both", there might be more students who study neither French nor Spanish. But this piece of information tells us that among these 300 students there is none who study neither French nor Spanish. So, 300={French}+{Spanish}{Both}. 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?Given: 300 = {French} + {Spanish}  {Both} and {Spanish}  {Both} = 100 > 300 = {French} + 100 > {French} = 200. Question: {Both}=? (1) Of the 300 students, 60 do not study Spanish > {French}  {Both} = 60 > 200  {Both} = 60 > {Both} = 140. Sufficient. (2) A total of 240 of the students study Spanish > {Spanish} = 240 > 240  {Both} = 100 > {Both} = 140. Sufficient. Answer: D.
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Re: In Jefferson School, 300 students study French or Spanish or [#permalink]
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15 Feb 2012, 12:53
Bunuel wrote: tom09b wrote: I do not understand how we assume that Jefferson School has only 300 students. If this is not the total number then we cannot say anything from the statements, so answer is E. Am I right?? We are not assuming that. We are told that "in Jefferson School, 300 students study French or Spanish or both", there might be more students who study neither French nor Spanish. But this piece of information tells us that among these 300 students there is none who study neither French nor Spanish. So, 300={French}+{Spanish}{Both}. 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?Given: 300={French}+{Spanish}{Both} and {Spanish}{Both}=100 > 300={French}+100 > {French}=200. Question: {Both}=? (1) Of the 300 students, 60 do not study Spanish > {French}{Both}=60 > 200{Both}=60 > {Both}=140. Sufficient. (2) A total of 240 of the students study Spanish > {Spanish}=240 > 240{Both}=100 > {Both}=140. Sufficient. Answer: D. I should have paid more attention to If 100 of these students. Thanks again!



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Re: In Jefferson School, 300 students study French or Spanish or [#permalink]
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28 Aug 2012, 13:27
I tried to create a table for this, but I'm having trouble. So far it has French, no French, Spanish and no Spanish. For some reason I can get 2) to work but not 1).



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Re: In Jefferson School, 300 students study French or Spanish or [#permalink]
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28 Aug 2012, 14:46
We know that 100 speak Spanish only and there are 300 total.
So, given 1), 60 speak French only. 300  60  100 = 140 who speak both?



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Re: In Jefferson School, 300 students study French or Spanish or [#permalink]
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22 Sep 2012, 05:14
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Please check the attachment for matrix approach ...which is actually easier than than the set approach First one is for option A and second one is for option B NS n NF = 0 as stated all of them either take Spanish of French
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matrix.png [ 8.79 KiB  Viewed 16545 times ]
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Re: In Jefferson School, 300 students study French or Spanish or [#permalink]
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28 Jul 2013, 01:14
Can we not get an answer of
200 Both 40 Spanish but not French 0 French but not Spanish 60 Niether
Does this conflict with the rules stated?



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Re: In Jefferson School, 300 students study French or Spanish or [#permalink]
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28 Jul 2013, 01:42
maxlevenstein wrote: Can we not get an answer of
200 Both 40 Spanish but not French 0 French but not Spanish 60 Niether
Does this conflict with the rules stated? Yes,it does. The question specifically states that out of the given 300 students, everyone studies either French, or Spanish or both. Thus, there is no one out of the given 300 who doesn't study neither.
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Re: In Jefferson School, 300 students study French or Spanish or [#permalink]
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19 Nov 2013, 19:13
BukrsGmat wrote: Please check the attachment for matrix approach ...which is actually easier than than the set approach
First one is for option A and second one is for option B
NS n NF = 0 as stated all of them either take Spanish of French How would we solve it with matrix/table approach? The attached image does not show any solutions/numbers in the inner boxes.
Last edited by RustyR on 21 Nov 2013, 20:53, edited 2 times in total.



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Re: In Jefferson School, 300 students study French or Spanish or [#permalink]
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19 Nov 2013, 19:21
Bunuel wrote: tom09b wrote: I do not understand how we assume that Jefferson School has only 300 students. If this is not the total number then we cannot say anything from the statements, so answer is E. Am I right?? We are not assuming that. We are told that "in Jefferson School, 300 students study French or Spanish or both", there might be more students who study neither French nor Spanish. But this piece of information tells us that among these 300 students there is none who study neither French nor Spanish. So, 300={French}+{Spanish}{Both}. 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?Given: 300={French}+{Spanish}{Both} and {Spanish}{Both}=100 > 300={French}+100 > {French}=200. Question: {Both}=? (1) Of the 300 students, 60 do not study Spanish > {French}{Both}=60 > 200{Both}=60 > {Both}=140. Sufficient. (2) A total of 240 of the students study Spanish > {Spanish}=240 > 240{Both}=100 > {Both}=140. Sufficient. Answer: D. Bunuel, of the several methods for overlapping sets, equations, table, venn diagram, can you give us an idea of which method is appropriate for which situation? Thanks.



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Re: In Jefferson School, 300 students study French or Spanish or [#permalink]
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20 Nov 2013, 02:41
bschoolaspirant9 wrote: Bunuel wrote: tom09b wrote: I do not understand how we assume that Jefferson School has only 300 students. If this is not the total number then we cannot say anything from the statements, so answer is E. Am I right?? We are not assuming that. We are told that "in Jefferson School, 300 students study French or Spanish or both", there might be more students who study neither French nor Spanish. But this piece of information tells us that among these 300 students there is none who study neither French nor Spanish. So, 300={French}+{Spanish}{Both}. 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?Given: 300={French}+{Spanish}{Both} and {Spanish}{Both}=100 > 300={French}+100 > {French}=200. Question: {Both}=? (1) Of the 300 students, 60 do not study Spanish > {French}{Both}=60 > 200{Both}=60 > {Both}=140. Sufficient. (2) A total of 240 of the students study Spanish > {Spanish}=240 > 240{Both}=100 > {Both}=140. Sufficient. Answer: D. Bunuel, of the several methods for overlapping sets, equations, table, venn diagram, can you give us an idea of which method is appropriate for which situation? Thanks. It depends on a question, as well as on one's personal preferences to pick which approach to apply to some particular problem.
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Re: In Jefferson School, 300 students study French or Spanish or [#permalink]
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21 Nov 2013, 20:54
bschoolaspirant9 wrote: BukrsGmat wrote: Please check the attachment for matrix approach ...which is actually easier than than the set approach
First one is for option A and second one is for option B
NS n NF = 0 as stated all of them either take Spanish of French How would we solve it with matrix/table approach? The attached image does not show any solutions/numbers in the inner boxes. Anybody? It would be beneficial if we could know how this problem could be solved using a table.



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Re: In Jefferson School, 300 students study French or Spanish or [#permalink]
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This problem can be solved using a table: Step 1: Using the prompt, we can fill in total students, students who do not study French, students who study French, and students who don't study either French or Spanish. Step 2: Both statements give us the same information: number of students who do and do not study spanish. Step 3: Fill in the blanks. View the file for a graphical depiction of this process. I hope this helps.
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Screen Shot 20140102 at 7.51.40 PM.png [ 32.48 KiB  Viewed 13373 times ]



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Re: In Jefferson School, 300 students study French or Spanish or [#permalink]
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If you are making the matrix, you have to realize that No Spanish and No French = 0. That's the tricky part about the matrix.



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Re: In Jefferson School, 300 students study French or Spanish or [#permalink]
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ISBtarget 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. The answer is D. Its easy to solve with venn diagram approach
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File comment: Now F= total number of students studying french =F S= total number of students studying Spanish =S F' = Students studying only french S'=Students studying only spanish F & S = students studying both french and spanish Now we need to find out F & S We have F + S =300 (whether french or spanish or both) S' =100 (Students who study spanish but not french) 1.Of the 300 students, 60 do not study Spanish this 60 = F'( students who study only french but not spanish) so now looking at diagram F'+S'+ F&S = F+S =300 substituting 100+60+ F&S =300 F&S =140 2. A total of 240 of the students study Spanish i.e. S'+ F&S =240 (total who study spanish) we know S' =100 so F&S =140. Give me KUDOS if this helps
Untitled.png [ 10.01 KiB  Viewed 13195 times ]




Re: In Jefferson School, 300 students study French or Spanish or
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