In the given Venn diagram, the circle represents 'girls who play football', the rectangle represents 'boys who play football', the triangle represents 'girls and boys who play hockey', and the arrow represents 'players who play badminton'. What is the total number of girls and boys who play both football and hockey?
The shaded part represents 'girls and boys who play both football and hockey' .
The number of girls who play both football and hockey = 12
The number of boys who play both football and hockey = 14
The number of girls who play both badminton, football and hockey = 5
The number of boys who play both badminton, football and hockey = 4
So, the numbers of girls and boys who play both football and hockey = 12 + 14 + 5 + 4 = 35
Hence, ‘35’ is the correct answer.
Important Questions from Venn Diagram Problems
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
What is the ratio of students who like Spanish to those who like German?
A. 2/3
B. 1/2
C. 3/2
D. 4/9
How many students like only one language?
A. 65
B. 70
C. 75
D. 85
L and A are classmates as well as good friends. In a class of 30 students, L has 10 unique friends and 5 friends who are common to A. A has a total of 17 friends in the class. How many students are friends with neither L nor A?
