PPT: Logical Venn Diagram | CSAT Preparation - UPSC PDF Download

 Page 1


Venn Diagram
Page 2


Venn Diagram
What is a Venn Diagram?
Definition
A Venn diagram (also called a 
set diagram or logic diagram) 
is a diagram that shows all 
possible logical relations 
between a finite collection of 
different sets.
Visual Representation
Typically overlapping shapes, 
usually circles, are used, and 
an area-proportional or 
scaled Venn diagram is one 
in which the area of the 
shape is proportional to the 
number of elements it 
contains.
Mathematical Basis
These diagrams represent elements as points in the plane and 
sets as regions inside curves. An element is in a set S just in case 
the corresponding point is in the region for S. They are a special 
case of Euler diagrams.
Page 3


Venn Diagram
What is a Venn Diagram?
Definition
A Venn diagram (also called a 
set diagram or logic diagram) 
is a diagram that shows all 
possible logical relations 
between a finite collection of 
different sets.
Visual Representation
Typically overlapping shapes, 
usually circles, are used, and 
an area-proportional or 
scaled Venn diagram is one 
in which the area of the 
shape is proportional to the 
number of elements it 
contains.
Mathematical Basis
These diagrams represent elements as points in the plane and 
sets as regions inside curves. An element is in a set S just in case 
the corresponding point is in the region for S. They are a special 
case of Euler diagrams.
Examples
In the example diagram, 
different shapes represent 
people who know specific 
languages: the small square 
represents English speakers, 
the triangle represents Marathi 
speakers, the big square 
represents Telugu speakers, 
and the circle represents Hindi 
speakers.
The diagram divides into 12 
distinct regions, each 
representing different 
combinations of language 
knowledge. For instance, region 
5 represents people who speak 
only English and Hindi.
Sample Questions
People who speak English 
and Hindi only: 5
People who speak Marathi 
and Telugu: 13 (regions 6 + 
7)
People who speak only 
English: 12
People who speak English, 
Hindi and Telugu: 2
People who speak all 
languages: None