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# In Jefferson School, 300 students study French or Spanish or both. If

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Manager
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In Jefferson School, 300 students study French or Spanish or both. If  [#permalink]

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27 Jul 2011, 05:58
2
00:00

Difficulty:

55% (hard)

Question Stats:

66% (01:47) correct 34% (01:40) wrong based on 102 sessions

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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.

Guys i solved this question using double set matrix
French Not French Total
Spanish x=? 100 240
Not Spanish 60
300

1)
French Not French Total
Spanish x=? 100
Not Spanish 60
300
NS
2)
French Not French Total
Spanish x=? 100 240
Not Spanish
300
Sufficient
B
But OA is different.Pls point out the error.Is it that we can only use venn diagram to solve this question.As solution is mentioned using venn diagram.if yes then how ill be come to know which method to use

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/in-jefferson ... 87885.html

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Manager
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Re: In Jefferson School, 300 students study French or Spanish or both. If  [#permalink]

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27 Jul 2011, 06:21
@GMATD11:

In the question its given that total number of students is 300 who study either French or Spanish or both.
Also its is given that 100 students do not study French. This indicates that 100 students study Spanish as the students have to study atleast one subject.

Statement 1: says, Of the 300 students, 60 do not study Spanish. i.e. 60 study only French
So we have total students = study only Spanish + study only French + study both

300 = 100 + 60 + study both. One unknown, Hence sufficient

Statement 2: says, A total of 240 of the students study Spanish. This also includes few students who study french as well.
Total students who study spanish = Only spanish + study spanish and french
240 = 100 + study spanish and french. Hence sufficient.

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Re: In Jefferson School, 300 students study French or Spanish or both. If  [#permalink]

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11 Oct 2011, 17:30
The solution can be found here as well:

http://www.manhattangmat.com/forums/jef ... t9286.html
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Re: In Jefferson School, 300 students study French or Spanish or both. If  [#permalink]

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26 Nov 2017, 23:56
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.

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/in-jefferson ... 87885.html
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Re: In Jefferson School, 300 students study French or Spanish or both. If &nbs [#permalink] 26 Nov 2017, 23:56
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# In Jefferson School, 300 students study French or Spanish or both. If

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