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In a sample of college students, 40 percent are third year students an
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Updated on: 24 Feb 2015, 12:35
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In a sample of college students, 40 percent are third year students and 70 percent are not secondyear students. What fraction of those students who are not thirdyear students are secondyear students? (A) 3/4 (B) 2/3 (C) 4/7 (D) 1/2 (E) 3/7
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Originally posted by Bhai on 24 Dec 2005, 21:20.
Last edited by Bunuel on 24 Feb 2015, 12:35, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to PS forum.



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Re: In a sample of college students, 40 percent are third year students an
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24 Dec 2005, 22:23
D
First Year = F
Second Year = S
Third Year = T = 40
F + T = 70
So F = (F+T)  T = 7040 = 30 and S = Total  (F+T) = 100  70 = 30
Not third year students = F + S = 30 + 30 = 60
Fraction = S/(F + S) = 30/60 = 1/2
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Re: In a sample of college students, 40 percent are third year students an
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26 Dec 2005, 01:18
Bhai wrote: In a sample of college students, 40 percent are thirdyear students and 70 percent are not secondyear students. What fraction of those students who are not thirdyear students are secondyear students? (A) 3/4 (B) 2/3 (C) 4/7 (D) 1/2 (E) 3/7
Let the number of students be 100.
3rd year = 40
First year or 3rd year = 70 => First year = 30
and Second year = 30
Second /First + Second = 30/60 = 1/2



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Re: College students
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06 May 2011, 12:04
if the total sample is 100
then T T!
s 0 30 30
s! 40 30 70 40 60 100
30/60 gives 1/2



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Re: College students
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08 May 2011, 00:16
Assume Total students = 100
3rd year students = 40  Frm the Question
So, 1st + 3rd + 4th year students = 70
2nd year students = 30
students who are not third year = 60
Fraction of 2nd years in those 60 sudents = 30/60 = 1/2.



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Re: College students
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08 May 2011, 07:52
0.4S  3rd yr students 0.7S  not 2nd yr students 0.6S  not 3rd yr students 0.3S  2nd yr Students => 0.3S/0.6S = 1/2 Answer  D
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Re: In a sample of college students, 40 percent are third year students an
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24 Feb 2015, 12:30
Bhai wrote: In a sample of college students, 40 percent are thirdyear students and 70 percent are not secondyear students. What fraction of those students who are not thirdyear students are secondyear students? (A) 3/4 (B) 2/3 (C) 4/7 (D) 1/2 (E) 3/7 Hi there! Here is the approach I took: Third year students: 40% Not Third Year: 60% Not Second Year: 70% Second Year: 30% What fraction of those students who are not thirdyear students are secondyear students?We know those who are not third year are 60% and we know second year students are 30% 30/60 simplifies to 1/2 Answer choice D



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Re: In a sample of college students, 40 percent are third year students an
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28 Feb 2015, 06:56
Hi,
I used the table method. Assume, there are 100 students in total. As you can see, 30/60 = 1/2, hence ANSWER: D
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Re: In a sample of college students, 40 percent are third year students an
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28 Feb 2015, 08:22
Bhai wrote: In a sample of college students, 40 percent are third year students and 70 percent are not secondyear students. What fraction of those students who are not thirdyear students are secondyear students?
(A) 3/4 (B) 2/3 (C) 4/7 (D) 1/2 (E) 3/7 Since we're talking till third year students so we have first year, second year and third year students. Given that T = 40  (I) F + T = 70  (II) From (I) and (II), F = 30 Hence S = 100  40  30 = 30 Those who are not third year students = F + S = 30 + 30 = 60 Fraction of second year and those who are not third year students = 30/60 = 1/2 Hence option D  Optimus Prep's GMAT On Demand course for only $299 covers all verbal and quant. concepts in detail. Visit the following link to get your 7 days free trial account: http://www.optimusprep.com/gmatondemandcourse



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Re: In a sample of college students, 40 percent are third year students an
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13 Dec 2017, 17:24
Bhai wrote: In a sample of college students, 40 percent are third year students and 70 percent are not secondyear students. What fraction of those students who are not thirdyear students are secondyear students?
(A) 3/4 (B) 2/3 (C) 4/7 (D) 1/2 (E) 3/7 We can let the total number of students be 100. Since 40% are thirdyear students, 40 students are thirdyear. Thus, 60 students are not thirdyear. Since 70% are not secondyear, 70 students are not secondyear. Thus, 100  70 = 30 students are secondyear. Since 60 students are not thirdyear and 30 students are secondyear, the fraction of students who are not thirdyear but are secondyear is: 30/60 = 1/2 Answer: D
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