This question contains three categories. These categories may or may not be linked to one another. Each category may fit into one of the diagrams given below in the options. Select the diagram which most aptly represents the relationship among the given categories. Prime numbers, Even numbers, Perfect squares

Prime and even numbers overlap only in 2, the one even prime, so these two circles intersect.
Even numbers and perfect squares overlap in 4, 16, 36, …, so these two circles intersect too.
No prime is a perfect square (a square \(n^2\) with n > 1 has n as a factor), so primes and perfect squares do not meet.
The correct diagram is three circles in a row: the middle circle (even numbers) overlaps both end circles (primes and perfect squares), while the two end circles do not touch each other.
Hence, the answer is [Refer to the image in the original question — option C].
In the given diagram, the square represents Technicians, the triangle represents Botanists, the circle represents Managers, and the pentagon represents Physicists.
A research institute plans to recruit personnel for various positions based on the following criteria.
(i) Managers who are also Botanists but not Technicians
(ii) Technicians who are either Botanists or Physicists but not Managers.
Find the number of people in the Venn diagram who are eligible according to the criteria.

In the given diagram, the triangle represents Teachers, the circle represents Engineers, the square represents French speakers, and the rectangle represents Musicians. Find the total number of Teachers who can speak French and are also Engineers, and the number of Musicians who can speak French but are not Engineers

This question contains three categories. These categories may or may not be linked to one another. Each category may fit into one of the diagrams given below in the options. Select the diagram which most aptly represents the relationship among the given categories.
Dogs, Pets, Rabbits
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'?

How many policemen are tax-payers but are NOT sportspersons?
Which of the following Venn diagrams represents the relationship between Lions, Deers and Carnivores?