Logical Venn Diagrams
Category : 9th Class
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.
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)
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:
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
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
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
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