The number given in the Venn diagram is the number of persons reading the newspaper.
Then the number of persons reading only two newspapers are:
To find the number of persons reading only two newspapers, we need to analyze the Venn diagram representing the distribution of newspaper readers.
Given:
- The Venn diagram is divided into different sections representing readers of different combinations of newspapers.
- We have values inside the intersections: 15, 40, 10, 20, 4, 30, and 25.
Let us interpret the diagram:
- 15: Readers of Paper-1 and Paper-2, but not Paper-3.
- 10: Readers of Paper-2 and Paper-3, but not Paper-1.
- 20: Readers of Paper-1 and Paper-3, but not Paper-2.
- 4: Readers of all three newspapers, Paper-1, Paper-2, and Paper-3.
To find readers of only two newspapers, we use:
- Readers of Paper-1 and Paper-2 only = 15
- Readers of Paper-2 and Paper-3 only = 10
- Readers of Paper-1 and Paper-3 only = 20
Now, summing these values gives us:
\(15 + 10 + 20 = 45\)
This total represents the number of persons reading only two newspapers.
Thus, the final answer is 45.
Important Questions from Venn Diagram Problems
In a group of 110 students, 23 students did not participate in any of the two games: Badminton and Chess. 45 students participated in Badminton and 61 students participated in Chess. How many students participated in Badminton only?
In a class of 100 students, every student has passed in one or more of the three subjects, i.e History, Economics and English. Among all the student, 24 students have passed in English only, 14 students have passed in History only 11 students have passed in both English and Economics only, and 12 students have passed in both English and History only. A total of 50 students have passed in History. If only 5 students have passed in all three subjects, then how many students have passed in Economies only?
60 students participated in one or more of the three competitions, i. e. Quiz, Extempore and Debate. A total of 22 students participated either in Quiz only or in Extempore only. 4 students participated in all three competitions. A total of 14 students participated in any of the two competitions only. How many students participated in Debated only?
In a class of 75 students, 40 students participate in Cricket, 28 students participate in Hockey, and 12 students participate in both Cricket and Hockey, whereas 19 students do not participate in any of the two sports. How many students participate only in Hockey?
How many students like french?
A. 30
B. 35
C. 40
D. 45
