Questions of Membership (Set) -II

Type– 2:This is another type of question based on logical diagram, known as venn diagram.In this type, various items and their relationships are represented by circles/rectangles/squares. In these questions, you will be presented with three different classes or groups of familiar objects and will be asked to identify their mutual relationships. In short, it deals with questions which aim at analyzing a candidate’s ability to relate certain given groups of items and represent it diagrammatically.

Example No. 1:Lawyers, Mechanics, Doctors

Solution: These three categories have no relation among them.These should be represented by three different diagrams having no intersection at all, as shown below.

Example No. 2:  Females, Sisters, Mothers

Solution: These three categories have a relation in such a way that all the sisters and mothers are females, but some of the sisters could be mothers or some of the mothers could be sisters. Therefore the relationship would be as shown below.


Example No. 3:Planets, Earth, Jupiter

Solution: Both Earth and Jupiter are planets, but they both are different and cannot touch each other. So this relationship can be represented in the following manner.

Example No. 4:  Doctors, Cats, Humans

Solution: Clearly it can be seen that all the doctors are humans. This should be represented by one circle inside the other circle. But the cats are outside both these categories, so, they should be represented by a different circle. So the relationship can be shown by the following diagram.

Exampleno. 5:Prime Numbers, Natural Numbers, Integers.

Solution: In this case, all the prime numbers are natural numbers and all the natural numbers are integers. So it can be best represented by the following diagram.

ExampleNo. 6:Doctors, Females, Mothers

Solution: This relationship goes like this: all the mothers are females but all the females are not necessarily mothers. Now females can be doctors but all the females are not doctors, similarly all the mothers are not doctors but some can be doctors. Hence this relationship can be best represented by the following diagram. 

ExampleNo. 7:Horses, Pets, Dogs

Solution:Clearly, some dogs and some horses are pets,but all the pets are not  necessarily dogs or horses. Secondly dogs and horses are not related to each other. Therefore the relationship can be best represented as  

ExampleNo. 8:Females, married females, married persons.

Solution: In this case, all the married females are females as well as married persons, but all the females are not married persons, but some can be, similarly all the married persons are not females, but some definitely are. So the relationship can best be represented by the following diagram.