In a college having 300 students, every student reads 5 newspapers and every…
2011
In a college having 300 students, every student reads 5 newspapers and every newspaper is read by 60 students. The number of newspapers required is
Answer: C. exactly 25 — ConceptWhen the same set of incidences is counted from two sides, both totals must be equal. Total incidences equal the number of members multiplied by the…
- A.
exactly 30
- B.
exactly 20
- C.
exactly 25
- D.
exactly 5
Show answer & explanation
Correct answer: C
Concept
When the same set of incidences is counted from two sides, both totals must be equal.
Total incidences equal the number of members multiplied by the incidences per member; they also equal the number of resources multiplied by the users per resource.
Application
The students generate 300 × 5 = 1500 student–newspaper readings.
If N is the number of newspapers, the newspapers account for 60N readings.
Equating the two counts gives 60N = 1500, so N = 1500 ÷ 60 = 25.
Cross-check
With 25 newspapers, 25 × 60 = 1500 readings, which equals 300 × 5.
Result
Exactly 25 newspapers are required.