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College students

by gmatblood » Sun Nov 06, 2011 1:36 pm
In a sample of college students, 40 percent are third-year students and 70 percent are not second-year students. What fraction of those students who are not third-year students are second-year students?

(A) 3/4
(B) 2/3
(C) 4/7
(D) 1/2
(E) 3/7

OA: D
Last edited by gmatblood on Mon Nov 07, 2011 12:56 am, edited 1 time in total.
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by neelgandham » Sun Nov 06, 2011 1:42 pm
Let total be 100
Third-year students = 40
Not-Third year students = 60
Not-Second-year students = 70
Second-year students = 30

What fraction of those students who are not third-year students are second-year students?

Second-year students / Not-Third year students = 30/60 = 1/2

IMO :[spoiler](D) 1/2 [/spoiler]

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by Anurag@Gurome » Sun Nov 06, 2011 8:17 pm
gmatblood wrote:In a sample of college students, 40 percent are third-year students and 70 percent are not second-year students. What fraction of those students who are not third-year students are second-year students?

(A) 3/4
(B) 2/3
(C) 4/7
(D) 1/2
(E) 3/7
Third year = 40% implies not third year = 60%
Not Second year = 70% implies second year = 30%
Therefore, fraction of second year students to not third year students = 30%/60% = [spoiler]1/2[/spoiler].

The correct answer is D.
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