Logical Venn Diagrams

**Category : **9th Class

**Type-I:**

In this section, some groups of geometrical figures are given. A student is required to find which group of the figures show the reasonable relationship among the given classes of items.

**EXAMPLE**

**1. Which one of the diagrams given below represents the relationship among the following three groups of items?**

Teachers, Doctors, Children

(a) (b) (c) (d)

**Explanation (c):**

Some teachers may be doctors and some doctors may be teachers.

So teachers and doctors can be represented by two intersecting circles as:

But the class of children is entirely separate from these two.

So, the final Venn diagram would be as shown below:

**Type-II:**

In this section, a Venn diagram is given, whose each segment (geometrical figure) represents a section of items.

To answer certain questions, a student is required to analyse the diagram carefully.

**2. Direction (I - II): The following questions are based on the diagram and information given below: **

Triangle represents the married persons

Circle represents unemployed

Square represents men

Rectangle represents vegetarians

Answer the following questions:

**I. How many persons are male vegetarians, who are employed and unmarried?**

(a) 70 (b) 40 (c) 120 (d) 180

**Explanation (a):**

Male vegetarians are in common regions of only square and rectangle. Number of male vegetarians who are employed and unmarried is 70.

** II. The number of married men, who are unemployed and vegetarians is**

(a) 10 (b) 20 (c) 30 (d) 40

**Explanation (d):**

The given four characteristics are represented by the common region to all the four geometrical figures. That is 40.

So, the required number of men = 40

*play_arrow*Logical Venn Diagrams

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