Study the given diagram carefully and answer the question that follows. The numbers in different sections indicate the number of persons. (NOTE: You have to take the given data to be true even if they seem to be at variance from commonly known facts.) 
How many managers are there?
To find out how many managers are there, we need to consider all the sections of the Venn diagram that fall under the "Managers" category.
The sections relevant to managers in the Venn diagram include:
- Section labeled "15" - Managers who are also Marketeers.
- Section labeled "13" - Only Managers.
- Section labeled "9" - Managers who are both Marketeers and Females.
- Section labeled "6" - Managers who are also Females.
By adding up these numbers, we get the total number of managers:
\(15 + 13 + 9 + 6 = 43\)
Therefore, the total number of managers is 43.
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?
