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# Of the 120 children in a certain school, 75 are currently studying Spe

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SVP
Joined: 23 Feb 2015
Posts: 2010
Of the 120 children in a certain school, 75 are currently studying Spe  [#permalink]

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06 Jun 2020, 08:56
1
2
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Difficulty:

55% (hard)

Question Stats:

43% (01:47) correct 57% (01:45) wrong based on 34 sessions

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Of the 120 children in a certain school, 75 are currently studying Spanish, How many of the students in the school are currently studying Frence?
1) The number of students in the school who are studying both French and Spanish is equal to the number of students in the school that are studying neither French nor Spanish.
2) 65 of the students in the school are studying Spanish but are not studying French
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Joined: 18 Jan 2020
Posts: 1541
Location: India
GPA: 4
Of the 120 children in a certain school, 75 are currently studying Spe  [#permalink]

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Updated on: 06 Jun 2020, 09:57
IMO A
Let A represents students studying Only Spanish
B both Spanish and French
C Only French
D neither of them.
A+B=75
A+B+C+D = 120

Students studying Spanish = 75 (including only Spanish or both Spanish and French)

Statement 1: Students studying both Spanish And French = Students studying neither. (B=D)
A+B+C+D = 120 => A+B+C+B=120
75+C+B= 120 => C+B = 45
Students studying French = 45
(Sufficient)

Statement 2: 65 of the students in the school are studying Spanish but are not studying French
A=65 then B = 10. (We need either C or D to determine students studying French) (insufficient)

Posted from my mobile device

Originally posted by yashikaaggarwal on 06 Jun 2020, 09:34.
Last edited by yashikaaggarwal on 06 Jun 2020, 09:57, edited 1 time in total.
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Joined: 02 Feb 2017
Posts: 10
Re: Of the 120 children in a certain school, 75 are currently studying Spe  [#permalink]

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06 Jun 2020, 09:50
1
i will set a double set matrix where x represents the number of students that are currently studying french

Statement 1:

---------------Spanish--------Not Spanish-------Total

French----------n------------------45-n------------ X

Not French--------------------------n----------------

Total------------75------------------45-------------120

On the first row, n + (45-n) = x, so x=45

Statement 1 is sufficient

Statement 2:

---------------Spanish--------Not Spanish-------Total

French----------10-----------------***------------- X

Not French-----65-----------------***-------------***

Total------------75------------------45-------------120

Notice that in order to obtain a numerical value for x, we would need the information in red. Because that information is not provided by the statement,

Statement 2 is not sufficient

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César Orihuela
GMAT Math Instructor
Academy of Math, Science and Technology - Perú
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Joined: 02 Feb 2017
Posts: 10
Re: Of the 120 children in a certain school, 75 are currently studying Spe  [#permalink]

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06 Jun 2020, 19:41
This question is similar to an exercise i saw on Veritas Data Sufficiency guide
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César Orihuela
GMAT Math Instructor
Academy of Math, Science and Technology - Perú
Re: Of the 120 children in a certain school, 75 are currently studying Spe   [#permalink] 06 Jun 2020, 19:41