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Out of 40 applicants to a law school, 15 majored in political science,

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Out of 40 applicants to a law school, 15 majored in political science, [#permalink]

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New post 07 Mar 2016, 08:59
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Question Stats:

85% (01:21) correct 15% (01:37) wrong based on 110 sessions

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Out of 40 applicants to a law school, 15 majored in political science, 20 had a grade point average higher than 3.0, and 10 did not major in political science and had a GPA equal to or lower than 3.0. How many of the applicants majored in political science and had a GPA higher than 3.0?

A. 5
B. 10
C. 15
D. 25
E. 35

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Re: Out of 40 applicants to a law school, 15 majored in political science, [#permalink]

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New post 08 Mar 2016, 03:06
Total applicants = 40
Political science = 15 and Non political science = 40 - 15 = 25

GPA > 3.0 = 20 and GPA <= 3.0 = 20

10 Non political science students had GPA <= 3.0 --> 15 Non political science students had GPA > 3.0

GPA > 3.0 in political science = Total - (GPA > 3.0 in non political science) = 20 - 15 = 5

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Re: Out of 40 applicants to a law school, 15 majored in political science, [#permalink]

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New post 11 Mar 2016, 13:51
Hi All,

This Overlapping Sets question is a 'lift' of an Official Guide question:

GMAT2016 page 180, #198
OG13/GMAT2015 page 178 #186

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Re: Out of 40 applicants to a law school, 15 majored in political science, [#permalink]

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New post 20 Mar 2017, 07:24
Total No of Students = 40

Majored in PS = 15
Avg > 3.0 = 20
No major and Avg < 3.0 = 10 =>Majored in P.S + Avg > 3.0 = 40-10 = 30 i.e Majored in PS + AVG > 3.0 = 30

Majored in PS Only + (Major in PS + Avg > 3.0) + (Major in PS + Avg > 3.0) + Avg > 3.0 = 15 + 20 = 35

30 + (Major in PS + Avg > 3.0) = 35

(Major in PS + Avg > 3.0) = 5
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Re: Out of 40 applicants to a law school, 15 majored in political science, [#permalink]

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New post 21 Mar 2017, 04:11
Bunuel wrote:
Out of 40 applicants to a law school, 15 majored in political science, 20 had a grade point average higher than 3.0, and 10 did not major in political science and had a GPA equal to or lower than 3.0. How many of the applicants majored in political science and had a GPA higher than 3.0?

A. 5
B. 10
C. 15
D. 25
E. 35


40 = 15 +20 - both + 10

both = 5
Re: Out of 40 applicants to a law school, 15 majored in political science,   [#permalink] 21 Mar 2017, 04:11
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Out of 40 applicants to a law school, 15 majored in political science,

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