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students and newspapers

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students and newspapers

by stormier » Sat Feb 26, 2011 6:10 pm
3. In a college of 300 students, every student reads 5 newspapers and every newspaper is read by 60 students. The number of newspaper is:

(A) at least 30
(B) at most 20
(C) exactly 25
(D) exactly 20
(E) none of these
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by Target2009 » Sat Feb 26, 2011 6:23 pm
stormier wrote:3. In a college of 300 students, every student reads 5 newspapers and every newspaper is read by 60 students. The number of newspaper is:

(A) at least 30
(B) at most 20
(C) exactly 25
(D) exactly 20
(E) none of these
IMO : C

Try Reverse Plugging . i.e select an answer and fit it in question. Best place to start with Option C

25 newspapaer. Total reads 25 * 60 = 1500 reads, every student reads 5 newspaper so number of student 1500 / 5 = 300 which is what given in the question.
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by Night reader » Sat Feb 26, 2011 6:52 pm
300*5/60=25
C
stormier wrote:3. In a college of 300 students, every student reads 5 newspapers and every newspaper is read by 60 students. The number of newspaper is:

(A) at least 30
(B) at most 20
(C) exactly 25
(D) exactly 20
(E) none of these
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by Anurag@Gurome » Sat Feb 26, 2011 10:09 pm
stormier wrote:In a college of 300 students, every student reads 5 newspapers and every newspaper is read by 60 students. The number of newspaper is:

(A) at least 30
(B) at most 20
(C) exactly 25
(D) exactly 20
(E) none of these
Say, total number of newspapers = n.
Every newspaper is read by 60 students, so total newpapers read = 60n
Every student reads 5 newpapers so total newspapers read = 1500

Hence, 60n = 1500 => n = 25

The correct answer is C.
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