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# In a sample of college students, 40% are third-year students

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Intern
Joined: 09 Dec 2003
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Location: Stockholm
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In a sample of college students, 40% are third-year students [#permalink]  31 Jan 2004, 10:28
In a sample of college students, 40% are third-year students and 70% are not second year students. What fraction of those students who are not third-year students are second-year students?

3/4
2/3
4/7
1/2
3/7

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Director
Joined: 28 Oct 2003
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This question looks extremely familiar, yet I don't recall seeing it in any prep material or on any internet boards...

Hmm...
Intern
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Official paper test. Test code 55. Section 3, question 11
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Intern
Joined: 05 Jan 2004
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Location: Los Angeles
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Let us assume that the total number of students are 100
Also, since no info about 4th year is given, we assume that there is no 4th year,

Third Year iii = 40
i + iii (not second year) = 70

Therefore i = 30
ii = 100 - 30 - 40
ii = 30

Ans = ii(2nd year)/ (i + ii) (not third year)
= 30/60
= 1/2
SVP
Joined: 30 Oct 2003
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Location: NewJersey USA
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Got 1/2

Total = S + T + Neither -Both(T & S)

Both(T&S) is zero because student cannot be in two classes.

Let us assume 100 students are there. If 70% are not second year students then 30 students are either thrid year or Neither
Since 40 students are third year then Neither = 30 because
T+Neither = 70 and T = 40
therefore S = 100-70 = 30

Total sudents who are not third year = 100-40 = 60
Students who are in second year = 30
so 30/60 = 1/2
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