# Logical Venn Diagrams: Exercise-3

Directions(1-5): Each of the following questions is based on the diagram given below. Study the diagram carefully and answer the questions given gelow.

In the diagram, circle represents 'Doctors', triangle represents 'Actors', and rectangle represents 'Engineers'.

1. How many doctors are neither actors nor engineers?

1. 10
2. 20
3. 30
4. 40
5. None of these

Solution: There are 30 doctors who are neither actors nor engineers because this region of the circle is not common with either rectangle or triangle.

1. How many engineers are actors?

1. 5
2. 10
3. 15
4. 20
5. None of these

Solution: The common region between engineers and actors are 5 and 10. Hence total 15 engineers are actors.

1. How many engineers are neither actors nor doctors?

1. 10
2. 15
3. 20
4. 25
5. None of these

Solution: There are 25 engineers, who are neither actors nor doctors because this region of the rectangle does not share with triangle or circle.

1. How many actors are neither doctors nor engineers?

1. 5
2. 10
3. 15
4. 20
5. None of these

Solution: There are 15 actors, who are neither doctors nor engineers because this region of the triangle does not share with circle or rectangle.

1. How many actors are doctors as well as engineers?

1. 5
2. 10
3. 15
4. 20
5. None of these

Solution: There are 5 such actors, who are doctors as well as engineers because this region is common for all the three.

Directions(6-10): Each of the questions given below contains three groups of items. You are required to choose one of the five numbered diagrams that depict the correct relationship among three groups of the items in each of the question.

1. Which one of the above diagram represents the relationship between Moon, Earth, and Universe?

1. (1)
2. (2)
3. (3)
4. (4)
5. (5)

Solution: The Universe contains the moon as well as the earth but the moon is a satellite whereas earth is a planet.

1. Which one of the above diagram represents the relationship between India, China, and Asia?

1. (1)
2. (2)
3. (3)
4. (4)
5. (5)

Solution: Asia contains India as well as China but India and China are two different countries.

1. Which one of the above diagram represents the relationship between Batsman, Cricketer, and Stick?

1. (1)
2. (2)
3. (3)
4. (4)
5. (5)

Solution: A batsman must be a cricketer but the stick is different.

1. Which one of the above diagram represents the relationship between Book, Pen, and Pencil?

1. (1)
2. (2)
3. (3)
4. (4)
5. (5)

Solution: All the three items are completely different to each other.

1. Which one of the above diagram represents the relationship between House, Bedroom, and Bathroom?

1. (1)
2. (2)
3. (3)
4. (4)
5. (5)