Question

In a college of 300 students, every student reads 5 newspapers and every newspaper is read by 60 students. The no. of newspaper is
(a) At least 30
(b) At most 20
(c) Exactly 25
(d) None of these

Answer 1

Hint: To solve this question we will first of all determine the number of newspapers read by 1 student and then we will proceed for Calculating the number of newspapers read by 300 students. After this further calculation gives the result.

Complete step-by-step solution -

Given that the college has 300 students and every student reads 5 newspapers.
Given a newspaper read by 1 student = 5.

So the total newspaper read by 300 students can be determined by multiplying 300 with 5.
Then the total newspapers read by 300 students is = 300 x 5 = 1500.
Therefore, we have obtained a total number of newspapers read by 300 students is equal to 1500.
Now given that every newspaper is read by 60 students.
Means a single newspaper is read by 60 students.

So, the total different newspaper read can be obtained by dividing the total number of newspapers read by 300 students to 60.
Therefore, we get,
The total different newspaper read \[=\dfrac{1500}{60}=25\].
Therefore, we get the total number of newspapers read by 25.
Matching from the given options we get that the correct option is option (c).

Note: The possibility of error in these types of questions is directly proceeding to calculate the number of newspapers ready which would give wrong results because we first need to determine the number of newspapers read by 300 students.