In a College of 300 Students, Every Student Reads 5 Newspapers and GMAT Problem Solving

Question: In a college of 300 students, every student reads 5 newspapers and every newspaper is read by 60 students. What is the number of newspapers?

1. 5
2. 10
3. 25
4. 50
5. 60

Correct Answer: C

Solution and Explanation:

Approach Solution 1:
The given condition of a college of 300 students, every student reads 5 newspapers and every newspaper is read by 60 students. In order to solve the problem regarding the number of newspapers the following method needs to be resolved.

Let’s assume that the total number of newspapers be x

Considering that each newspaper is read by 60 students, the number of times newspapers are being read
=60×x=60x

Now we are also given that each of 300 students read 5 newspapers.

So the number of times newspapers are being read
=300×5=1500

So this implies that

60x = 1500
=> x = 1500/60
=> x = 25

Hence, there are a total of 25 newspapers that are being read by the students in the college.

Approach Solution 2:
We are given that in a college of 300 students, every student reads 5 newspapers.
Let us first find out how many times all the newspapers are read.
If one student reads 1 newspaper, then the total number of times all newspapers are read = 1.
If 300 students read 1 newspaper each, then the total number of times all newspapers are read = 300×1=300300×1=300.
So, if 300 students read 5 newspapers each, then the total number of times all newspapers are read = 300×5=1500300×5=1500.
Also, we can write, Number of times each student read a newspaper= Total number of times newspapers read/Total number of students

Let us now find out the number of newspapers.
If each newspaper is read by 1 student, and the total number of times all the newspapers are read is also 1, then we can easily say that the total number of newspapers is one, which one student must have read 1 time.
Now, suppose each newspaper is read by 1 student and the total number of times newspapers are read is 300. Then the total number of newspapers must also be 300, which 300 different students must have read 300/300= 1 time each.
Now, suppose each newspaper is read by 2 students and total number of times newspapers are read is 300, then total number of newspapers must 300/2=150, which 300 different students must have read 300300=1300300=1 times each.
Now, if each newspaper is read by 60 students and total number of times newspapers are read is 1500, then total number of newspapers must 1500/60=25, which 300 different students must have read 1500/300= 5 times each.
Therefore, the number of newspapers we get is 25.

Approach Solution 3:
Determine the number of newspapers:
It is given that, the number of students is 300.
The number of students, who read newspapers is 60.
Every student reads 5 newspapers.
Let, the number of newspapers be x.

Thus, the number of students is,x*60/5= 300

⇒x*60= 300×5

⇒x*60= 1500

⇒ x=1500/60

⇒ x= 25

Therefore, the number of newspapers is 25.

“In a college of 300 students, every student reads 5 newspapers and”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book "GMAT Official Guide 2018 Quantitative Review".To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. GMAT Quant practice papers improve the mathematical knowledge of the candidates as it represents multiple sorts of quantitative problems.

 

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