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

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Re: Out of 40 applicants to a law school, 15 majored in political science, [#permalink]
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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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
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Re: Out of 40 applicants to a law school, 15 majored in political science, [#permalink]
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used matrix method to get the answer within 15 secs..
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Re: Out of 40 applicants to a law school, 15 majored in political science, [#permalink]
Create a double matrix and solve this question in less than a minute.
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40lawschool.PNG [ 8.79 KiB | Viewed 1952 times ]

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