Q72 / 150 · MHT CET 2024 (09 May Shift 1) · Mathematics

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
  • Correct answer
    C
    exactly 25
  • D
    exactly 10

Solution

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 \(25\).

Hence, the correct answer is option: 'C'.

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