In a college of 300 students, every student reads 5 newspapers and every newspaper is read by 60 students. The number of newspapers is:

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At least 30

At most 20

Exactly 25

None of these

answer is C.

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Detailed Solution

Concept- At a university with 300 students, we know that each student is reading five newspapers. First, find out how often all newspapers are read. If a student reads one newspaper, all newspapers will be read with a total of

. If each of the 300 students reads one newspaper, all newspapers will read a total of

. Therefore, if 300 students read 5 newspapers each, the total number of newspapers read

. You can also write:
Number of times each student read a newspaper =

\frac{Total number of times newspapers read}{Total number of students}

Now let's check the number of newspapers. If each newspaper is read by one student and the total number of all newspapers is also 1, then it can be easily said that the total number of newspapers a student must read 1 is 1. Assuming that each newspaper is read by one student and the total number of newspapers is read 300 times, the total number of newspapers should also be 300, and 300 different students should each read

time. Now, if each newspaper is read by two students and the total number of newspapers is read 300 times, then the total number of newspapers should be

, and 300 different students each read

time. Must be. Now if each newspaper is read by 60 students and the total number of newspapers is read 1500 times, then the total number of newspapers should be

, and 300 different students each read

times. So, get just 25 newspapers.
Hence, the correct option is 3.

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