Venn Diagram Analytical Reasoning Formulas - ObjectiveBooks

# Venn Diagram Analytical Reasoning Formulas

Venn diagram: A Venn diagram (also known as a set diagram or logic diagram) is a diagram that shows all possible logical relations between a finite collection of different sets.
It represents the mathematical or logical sets pictorially as circles or closed curves within an enclosing rectangle, common elements of the sets being represented by intersections of the circles.

Set: A set is a group or collection of objects or numbers, considered as an entity unto itself. Each object or number in a set is called a member or element of the set.

Example 01: 26 English alphabet from a set and if we consider two objects ‘x’ and ‘α’ then x is an element in the set but α is not an element in the set.

Example 02: Sets of numbers:
Set of whole numbers: {0, 1, 2, 3, ...}
Set of prime numbers: {2, 3, 5, 7, 11, 13, 17, ...}

Representation of  Venn diagram
Take the three sets:
A = {1, 2, 5}
B = {1, 6}
C = {4, 7}
The Venn diagram of these sets is:

This chapter deals with the logical problems with diagrams. The knowledge of a set and its diagrammed representation is sufficient for this chapter. Here is some standard representations given bellow.

1. Three different groups or sets; ‘A’, ‘B’ and ‘C’.

2. If two sets ‘A’ and ‘B’ are partly related and third is different.

3. If ‘A’ is partly related to ‘B’ and ‘B’ is partly related to ‘C’.

4. If ‘A’, ‘B’ and ‘C’ are partly related to each other.

5. If ‘A’ belongs to set ‘B’ and ‘B’ belongs to set ‘C’.

6. If two different sets ‘A’ and ‘B’ belongs to Set ‘C’.

7. If two partly related sets ‘A’ and ‘B’ belongs to set ‘C’.

8. If ‘A’ belongs to ‘B’ and both of them is partly related to ‘C’.

Example: Question No 01 & 02
Choose the most suitable diagram for given items. The diagrams are;

Question No. 01: Boy, Student, Cricketer

Question No. 02: Cancer, Aids, Disease