Venn Diagram Reasoning, Key Concepts, Solved Examples

A Venn diagram is a representation of the relationship between and among a finite number of sets.We may use a Venn diagram to demonstrate the logical link between two or more sets, as well as the cardinality of those sets, if we have two or more sets. Venn Diagrams are used to explain De Morgan's Laws in particular.Venn diagrams can be used to depict relationships in statistics, probability, logic, and other fields. Venn diagrams are especially helpful in aiding thorough consideration of set operations because they provide a visual representation of the relationships involved.

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Types of Venn Diagram

We now have a better understanding of the problems in the Venn Diagram reasoning part. Let's look at the many options.
 
Below are some examples of questions that may be asked one by one.

 1. The Fundamental Relationship

 General relations will be supplied in this form of Venn diagram reasoning, and applicants must choose the optimal Venn diagram.For those connections, draw a diagram.
 

2. Geometrical Relationship 

 Some relationships are offered in geometrical form in this style of Venn diagram reasoning, and applicants must locate them.
 

Questions And Answers

Question 1
Identify the diagram that best represents the relationship among the given classes. Stationery, Pencil, Rubber 

Option 1: A
Option 2: B 
Option 3: C
Option 4: D
Answer: 
4: D
Explanation:
Both rubber and pencil are types of stationary, but are completely different from each other, hence the venn diagram that best describes above relation is : 
 
 
Question 2
 
Identify the diagram that best represents the relationship among the given classes. Electrons, Nucleus, Neutrons

 
Option 1: A
Option 2: B 
Option 3: C 
Option 4: D
Answer:
2: B
 
Question 3
 
Which of the following diagrams best represents cousins, nieces and females ?

Option 1: A
Option 2: B
Option 3: C
Option 4: D
Answer:
1: A
Explanation:
All nieces are females, and some cousins can be both females and cousins, hence the diagram that best represents the relation :
cousins, nieces and females is :

 
Question 4
Identify the diagram that best represents the relationship among the given classes.Cigarettes, Tobacco products, Alcohol

Option 1: A 
Option 2: B
Option 3: C
Option 4: D
Answer:
2: B
Explanation:
All cigarettes are tobacco products, but alcohol is different from them, hence the venn diagram that best describes above relationship is :

 
 
 
Question 5
How many rural people are educated?

Option 1: 44 
Option 2: 28
Option 3: 56 
Option 4: 16
Answer:
2: 28 
Explanation:
Number of rural people are educated = 22 + 6 = 28
 
Question 6
How many teachers are neither players nor singers?
 
Option 1: 5 
Option 2: 10
Option 3: 4
Option 4: 9
Answer:
2: 10
Explanation:
Number of teachers are neither players nor singers are represented by only triangle and outside of both circle and rectangle. Hence, number of such teachers = 10
 
Question 7
How many players are neither teachers nor singers?

Option 1: 5
Option 2: 12 
Option 3: 17
Option 4: 4
Answer: 
2: 12
 Explanation: 
Number of players are neither teachers nor singers are represented by only a circle and outside of both triangle and rectangle. Hence, number of such players = 12
 
Question 8
Identify the diagram that best represents the relationship among the given classes.Earth, Planets, Moon


Option 1: A 
Option 2: B
Option 3: C 
Option 4: D
Answer:
1: A
Explanation:
Earth is one of the planets, but moon being a natural satellite is different, hence the venn diagram that best describes above relation is : 

 
Question 9
Identify the diagram that best represents the relationship among the given classes. Furniture, Sofa, Tables 

Option 1: A
Option 2: B
Option 3: C
Option 4: D
Answer: 
1: A 
Explanation:
Both  sofa and tables are types of furniture, but are completely different from each other, hence the venn diagram that best describes above relationship is :

 
Question 10
Identify the diagram that best represents the relationship among the given classes. Earth, Saturn, Planet, Star

 
Option 1: A 
Option 2: B 
Option 3: C
Option 4: D
Answer :
3: C
Explanation:
Earth and Saturn are both planets but are different (hence do not intersect each other), and star is a different body in the solar system.
Thus, the venn diagram that best describes above relationship is :  

 
Question 11
Identify the diagram that best represents the relationship among the given classes. Metal, Oxygen, Copper 

Option 1: A
Option 2: B 
Option 3: C
Option 4: D
Answer:
3: C
Explanation:
Copper is a metal but oxygen is not related to any of these. Thus, the venn diagram that best describes above relationship is :
 
Question 12
Identify the diagram that best represents the relationship among the given classes. Football, Volleyball, Outdoor Games, Carrom.

 
Option 1: A
Option 2: B
Option 3: C 
Option 4: D
Answer: 
2: B
Explanation:
Football and Volleyball are both outdoor games, but they are completely different, and carrom is an indoor game. Thus, the venn diagram that best describes above relationship is :

 
Question 13
 
Which of the following is a part of both circle and triangle ?

Option 1: e
Option 2: v
Option 3: o
Option 4: c
Answer: 
3: o
 
Question 14
Identify the diagram that best represents the relationship among the given classes. Women, Trainer, Pilot
    

Option 1: A 
Option 2: B 
Option 3: C
Option 4: D 
Answer:
1: A
 
Question 15
 
Identify the diagram that best represents the relationship among the given classes. Engine, Car, Battery 

Option 1: A 
Option 2: B
Option 3: C
Option 4: D
Answer:
3: C
 Explanation: 
engine  and Battery are both parts of a car but they are both different (hence do not intersect). Thus, the venn diagram that best describes above relationship is : OPTION C


Question 16
In the following figure, the rectangle represents lawyers, circle represents Athletes, triangle represents Gardeners and square represents Mothers. Which set of letters represents Lawyers who are either Athletes or Gardeners

Option 1: HCE 
Option 2: DG 
Option 3: BFI
Option 4: CDH
Answer:
1: HCE
Explanation:
Lawyers who are either Athletes or Gardeners are represented by = HCE
 
Question17
In the following figure, rectangle represents Opticians, circle represents Art critics, triangle represents Riders and square represents Boxers. Which set of letters represents Art critics who are not Riders?

Option 1: BLEF
Option 2: IJ
Option 3: CHDG
Option 4: EDGJ
Answer: 
1: BLEF
 Explanation:
Art critics who are not Riders are represented by = BLEF

 
Question 18
Identify the diagram that best represents the relationship among the given classes. Society, Friends, Enemies

 
Option 1: A 
Option 2: B
Option 3: C
Option 4: D
Answer: 
2: B 
 
Question19
How many educated people are employed?

Option 1: 18 
Option 2: 26
Option 3: 24 
Option 4: 16
Answer:
1: 18
Explanation:. (A) Number of educated people are employed = (12 + 6) = 18
 
Question 20
 
From the information given below, find out the number of people who do not read any newspaper.

 
Option 1: 195
Option 2: 135 
Option 3: 175 
Option 4: 75
Answer :
1: 195
 Explanation: 
(A) Number of people who do not read any newspaper = 420 – (85 – 60 + 200) = (420 – 225) = 195
 
 
  A Venn diagram is a representation of the relationship between and among a finite number of sets.We may use a Venn diagram to demonstrate the logical link between two or more sets, as well as the cardinality of those sets, if we have two or more sets.