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 group of 73 friends, 14 friends go to Gym and Karate classes both, whereas 7 friends neither go to Gym class nor to Karate class. If a total of 36 friends go to Gym class, then how many friends go to only Karate class?
In an examination 20% students failed in Mathematics and 15% failed in English. If 10% failed in both and those who passed in both numbered 300, then the total number of students who appeared in the examination was
In the following diagram, the 'circle' stands for 'soldiers', the 'square' stands for 'Indians', and the 'triangle' stands for 'singers'. The numbers given in the different segments represent persons belonging to that category.
Which category is represented by the number '5'?
- In the following diagram, the circle stands for 'policemen', the square stands for 'sportspersons' and the 'triangle' stands for 'tax-payers' the numbers given in the different segments represent the number of persons in that category.
How many policemen are tax-payers but are NOT sportspersons?
The letter that represents the artists who are the doctors and dancers only is
