Venn Diagram Tips and Tricks for Government Exams

Introduction

A Venn diagram is the easiest way to express the relationship between sets. Based on the variety of questions that are asked in various competitive exams, we have classified these logical Venn diagrams into following categories, which are given below.

Types of Venn Diagram 

As now we know what the Venn Diagram reasoning section consists of, let us see the various types of logical Venn diagram questions are given below. 

1. Basic Relation: In this type of Venn diagram reasoning, general relations will be given and candidates need to find the best Venn Diagram for those relations.
2. Geometrical Relation: In this type of Venn diagram reasoning, some relations are given in geometrical form and candidates need to find the best logical Venn Diagram for those relations.

How to Solve Logical Venn Diagram Reasoning Questions– Know all Tips and Tricks

Candidates can find various tips and tricks from below for solving Venn Diagram reasoning questions:

• Tip # 1: n (A ∪ B) = n (A) + n (B) this set are disjoint.
• Tip # 2: n (A ∪ B) = n (A) + n (B) – n ⋅ (A ∩ B)
• Tip # 3: n (A ∩ B) = Φ then n (A ∪ B) = n (A) + n (B)
• Tip # 4: n (A ∪ B ∪ C) = n (A) + n(B) + n(C) – n (A ∩ B) – n (A ∩ C) – n (B ∩ C)
• Tip # 5: Venn diagram of two sets:
  • (A ∪ B) = n(A) + n(B), Num of ‘A’ & ‘B’ here is known as ‘’A union B’’ i.e A ∪ B. A ∪ B = n(A) + n(B) – A ∩ B
  • A ∩ B is called “A intersection B’’, or that part which is common in A & B.

Examples

Example 1: Draw the Venn diagram for Mother, Grandmother, Females
Ans: As all grandmothers are mothers and both mother and grandmother are female.
Therefore, it can be best shown as:

Example 2: Draw the Venn diagram for Brinjal, Banana, Vegetables
Ans: Brinjal is a type of vegetable.
And, Banana is a fruit.
The correct Venn diagram representation is:

Example 3: Draw the Venn diagram for Professor, Student, Player
Ans: A professor can also be a student to someone else and can also be a player.
A student can be a professor and a player.
The correct Venn diagram representation is:

Example 4: In the following figure, circle represents bed sheet, triangle represents pillow and square represents blanket. Which set of letters represents all the three elements?
Ans: Here, D represents all three elements.

Example 5: In the given Venn diagram, the circle represents ‘PhD students’, the triangle represents ‘science students’ and the rectangle represents ‘girls’. The numbers given in the shapes represent the number of persons of that particular category. How many girls are PhD students but are NOT science students?
Ans: From the given diagram,
The shaded part represents girls who are PhD students but not science students = 11 + 8 = 19
Hence, “19” is the correct answer.