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In Jefferson School, 300 students study French or Spanish or [#permalink]
 11 Dec 2009, 13:34
Question Stats:
65% (01:50) correct
34% (01:30) wrong based on 7 sessions
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.
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: In Jefferson School, 300 students study French or Spanish or [#permalink]
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]
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
Attachments
matrix.png [ 8.79 KiB | Viewed 1377 times ]
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Re: OG 12th edition - DS [#permalink]
11 Dec 2009, 19:05
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 = 300-60=240
240+200=440 students in F and S classes
Since only 300 students are in the school, the overlap is 440-300=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 440-300=140, who study both
====>sufficient
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Re: OG 12th edition - DS [#permalink]
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]
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]
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]
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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Re: In Jefferson School, 300 students study French or Spanish or [#permalink]
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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In Jefferson School, 300 students study French or [#permalink]
06 Aug 2012, 22:52
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 can solve it using Venn Diagrams but can someone solve it using tables.Thanks...
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Re: In Jefferson School, 300 students study French or [#permalink]
07 Aug 2012, 00:29
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Re: In Jefferson School, 300 students study French or Spanish or [#permalink]
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]
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]
28 Aug 2012, 14:46
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