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

Options

A. at least `30`
B. at most `20`
C. exactly `25`
D. exactly `30`

Answer

To solve the problem, we need to find the number of newspapers in a college where 300 students read 5 newspapers each, and each newspaper is read by 60 students.

### Step-by-step Solution:

1. **Define Variables**:
Let \( x \) be the number of newspapers.

2. **Calculate Total Reads**:
Each of the 300 students reads 5 newspapers. Therefore, the total number of newspaper reads is:
\[ \text{Total Reads} = 300 \text{ students} \times 5 \text{ newspapers/student} = 1500 \text{ reads} \]

3. **Relate Reads to Newspapers**:
Each newspaper is read by 60 students. Therefore, the total number of reads can also be expressed in terms of the number of newspapers:
\[ \text{Total Reads} = x \text{ newspapers} \times 60 \text{ students/newspaper} = 60x \]

4. **Set Up the Equation**:
Since both expressions represent the total number of reads, we can set them equal to each other:
\[ 1500 = 60x \]

5. **Solve for \( x \)**:
To find \( x \), divide both sides of the equation by 60:
\[ x = \frac{1500}{60} = 25 \]

6. **Conclusion**:
The number of newspapers is \( x = 25 \).

### Final Answer:
The number of newspapers is **25**.