Question

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

• A. At least $30$.
• B. At most $20$.
• C. Exactly $25$.
• D. None of these.

Answer 1

The correct option is C

Exactly $25$.

The explanation for the correct option:

Let us assume the number of newspapers $x$.

It is given that,

The number of students, $n=300$.

The number of newspapers read by every student$=5$.

The number of students reading every newspaper$=60$.

Thus, if every student reads one newspaper, then the number of students would be $60x$.

As every student read $5$ newspapers, therefore the number of students, $n=\frac{60x}{5}$.

$$\begin{gathered} \Rightarrow 300=\frac{60x}{5} \\ \Rightarrow 300=12x \\ \Rightarrow x=\frac{300}{12} \\ \Rightarrow x=25 \end{gathered}$$

Therefore, the number of newspapers is exactly $25$.

Hence, the correct option is (C).