MHT CET · Maths · Probability
In a class of 300 students, every student reads 5 news papers and every news paper is read by 60 students. Then the number of newspapers is
- A at least 30
- B at most 20
- C exactly 25
- D exactly 10
Answer & Solution
Correct Answer
(C) exactly 25
Step-by-step Solution
Detailed explanation
Let us approach this problem from the perspective of the number of reading sessions:
The total number of students is 300. Each student reads 5 newspapers.
The total reading sessions \(=300 \times 5=1500\)
In total there are 1500 reading sessions in a day.
Given that, 60 students read every newspaper.
In other words, one newspaper undergoes 60 reading sessions.
Hence, for 60 reading sessions, 1 newspaper is enough.
So, we need to find for 1500 reading sessions how many newspapers are required.
\(\begin{aligned}
& 60 \times N=1500 \\
& N=1500 / 60=25
\end{aligned}\)
Therefore, 25 newspapers are required for a college of 300 students.
Thus, the number of newspapers required is \(25\).
The total number of students is 300. Each student reads 5 newspapers.
The total reading sessions \(=300 \times 5=1500\)
In total there are 1500 reading sessions in a day.
Given that, 60 students read every newspaper.
In other words, one newspaper undergoes 60 reading sessions.
Hence, for 60 reading sessions, 1 newspaper is enough.
So, we need to find for 1500 reading sessions how many newspapers are required.
\(\begin{aligned}
& 60 \times N=1500 \\
& N=1500 / 60=25
\end{aligned}\)
Therefore, 25 newspapers are required for a college of 300 students.
Thus, the number of newspapers required is \(25\).
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