Venn Diagram CAT Questions 2025 PDF Download Important Questions with Answers & Solutions

Overview: In this blog post, we've delved into the effectiveness of Venn Diagram CAT Questions for approaching logical reasoning questions in the CAT exam. We started by introducing the concept of Venn diagrams and how they can be utilized to depict connections between sets visually.

• The Common Admission Test (CAT) is a gateway exam for students who wish to pursue a career in business and management at top IIMs (Indian Institute of Management) and other top business schools in the country.
• In addition to admission to IIMs, the CAT entrance exam gives students the benefit of having a strong alumni network that helps them build their careers.
• The CAT 2024 exam admission is considered one of the toughest exams since it assesses your overall aptitude and preparedness for admission to a top-tier management program. 

In this blog, we will discuss Venn Diagram CAT Questions in detail, covering their importance and solving strategies.
Get insights into how to tackle these questions effectively for the CAT exam

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Different Types of Venn Diagram CAT Questions 2025

Venn diagram questions for CAT are a powerful tool for representing relationships between sets. The CAT exam typically uses Venn diagrams with two or three circles. Let's explore these two common types of Venn diagram questions and answers for CAT exam:

1. Two Set Venn Diagrams:

This is the most fundamental type of Venn diagram questions For CAT. It consists of two overlapping circles representing sets, typically A and B. The diagram is divided into three distinct regions:

• Individual Sets: Each circle represents a single set. The elements belonging only to set A are placed inside circle A, and elements belonging only to set B are placed inside circle B.
• Overlap Area: The area where the two circles overlap represents the elements belonging to set A and set B (intersection of sets). This region is often labeled A∩B.

Explore: CAT Ratio and Proportion Questions

Here's a breakdown of a two-set Venn diagram Questions For CAT:

[Insert image of a two-set Venn diagram with circles labelled A and B, and the overlap area labelled A∩B]

2. Three Set Venn Diagrams:

Three-set Venn diagrams introduce a bit more complexity. They use three interlocking circles to represent sets typically labeled A, B, and C. This creates seven distinct regions:

• Individual Sets: Similar to two-set diagrams, each circle represents a single set. Elements belonging only to set A go inside circle A, and so on.
• Overlap Areas: There are three areas where two circles overlap, representing elements that belong to two specific sets (A∩B, A∩C, and B∩C).
• Central Overlap Area: The center area where all three circles overlap represents elements that belong to all three sets (A∩B∩C).

Here's a breakdown of a three-set Venn diagram:

[Insert image of a three-set Venn diagram with circles labelled A, B, and C. Label the overlap areas as A∩B, A∩C, B∩C, and the centre overlap as A∩B∩C]

Understanding these two types of Venn diagrams will be crucial to address how to solve Venn diagram questions for CAT. By effectively visualizing the relationships between sets within these diagrams, you'll be well on your way to mastering this concept.

Check: CAT Syllabus 2025

Important Venn Diagram CAT Questions 2025 For Practise

Given below are some Venn Diagram Questions And Answers For CAT exam that can help you in your CAT preparation: 

1)  If the number of candidates who score at or above the 90th percentile overall and also at or above the 80th percentile in all three sections of the Common Entrance Test (CET) is a multiple of 5, then how many candidates were shortlisted for the Admission Entrance Test (AET) for the Academic Institute of Excellence (AIE)?

A. 170

B. 150

C. 130

D. 90

Answer: 170

2) If the number of candidates who score at or above the 90th percentile overall and also at or above the 80th percentile in all three sections in the Common Entrance Test (CET) is divisible by 5, what is the count of candidates who score at or above the 90th percentile overall and at or above the 80th percentile in both Physics (P) and Mathematics (M) in CET? (TITA)

A. 20

B. 60

C. 80

D. 100

Answer: 60

3) What is the most accurate conclusion that can be drawn regarding the quantity of test takers for the BIE exam who scored at or above the 90th percentile in the CET?

A. 3 or 10

B. 10

C. 5

D. 7 or 10

Answer: 3 or 10

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4) If out of 200 students, 105 have a preference for pizza and 134 have a liking for burgers, what is the potential number of students who have a preference only for burgers?

A. 23

B. 96

C. 26

D. 93

Answer: 93

5) If the count of applicants who score at or above the 90th percentile overall and also score at or above the 80th percentile in P in CET exceeds 100, how many applicants had to take the separate BIE test?

A. 310

B. 321

C. 299

D. 330

Answer: 299

6) How many integers from 1 to 120 are not divisible by 2, 5, or 7?

A. 42

B. 41

C. 43

D. 40

Answer: 41

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7) In a group of 30 students, 15 participate in cricket and 20 participate in football. 5 students are involved in both cricket and football. What is the total number of students engaged in cricket, including those exclusively involved?

A. 10

B. 15

C. 20

D. 26

Answer: 20

8) Out of 50 employees in a company, 25 are in the sales department, and 30 are in the marketing department, with 15 employees working in both departments. How many employees work exclusively in the sales department?

A. 10

B. 15

C. 20

D. 21

Answer: 15

Read more: CAT QA Syllabus [Latest]

9) In a group of 50 employees, 25 work in sales, 30 in marketing, and 15 in both departments. How many employees work solely in the sales department?

A. 100

B. 250

C. 150

D. 200

Answer: 200

10) In a park, there are a total of 100 individuals. 60 of them are enjoying the swings, while 40 are having fun on the slides. Additionally, 20 people are enjoying both the swings and slides. How many people are exclusively using the swings?

A. 10

B. 60

C. 20

D. 70

Answer: 60

Check: Algebra Topics for CAT 2025

11) There are 300 books in a library, with 150 in Hindi and 200 in English. Additionally, 50 books are in both languages. Ultimately, I need to figure out how many books are exclusively in English.

A. 150

B. 155

C. 159

D. 160

Answer: 150

Read the passage and answer the following:-

There were a total of 100 schools in the town. Out of these, 30 schools had a playground but did not have a library or a laboratory. The number of schools with only a laboratory was twice the number of schools with only a library. The number of schools with both a laboratory and a library was one-fourth the number of schools with only a laboratory. In total, 35 schools had either a library, a laboratory, or both.

12) How many schools do not have any of the three facilities: laboratory, library, and playground?

A. 25

B. 69

C. 35

D. 49

Answer: 35

Check: CAT Exam Pattern and Total Marks

13) What was the proportion of schools with a laboratory compared to those with a library?

A. 2:1

B. 1:1`

C. 5:3

D. 4:5

Answer: 5:3

Read more: VARC Syllabus for CAT

14) There are three clubs A, B, and C with 40, 50, and 60 members, respectively. 10 people are members of all three clubs, and 70 are members of only one club. How many people belong to exactly two clubs?

A. 15

B. 25

C. 35

D. 45

Answer: 25

15) Out of the 100 families in the neighborhood, 45 possess radios, 75 own televisions, and 25 own VCRs. Additionally, only 10 families possess all three electronics, and every VCR owner also possesses a television. Moreover, 25 families possess only a radio. How many families possess only a television?

A. 30

B. 40

C. 60

D. 50

Answer: 40

Read more: CAT Reasoning Syllabus 2025

How To Solve Venn Diagram CAT Questions 2025

1. Understand set theory concepts such as union, intersection, and complements before attempting Venn diagram questions.
2. Clearly define the sets represented by the circles in the Venn diagram questions for CAT.
3. Redraw the diagram neatly to organize your thoughts, even if a diagram is provided.
4. Mark each section of the Venn diagram with its corresponding set representation.
5. Convert the given information set into numerical values representing elements in those regions.
6. Focus on understanding the logic and plugging in the given values rather than memorizing formulas.
7. Pay attention to the area where circles overlap, as it often represents elements belonging to both sets.
8. Directly label specific sections of the Venn diagram with numbers based on the information provided.
9. Use the total number of elements to calculate values for specific sections based on the information.
10. Analyze the relationships between sets to deduce values for overlapping regions.
11. Familiarize yourself with the question format and difficulty level expected in the CAT exam by practising with previous years' papers.
12. Prioritize accuracy over speed when solving Venn diagram questions.
13. Manage time effectively by moving on from challenging questions and revisiting them later.

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Conclusion

This post has provided you with an Venn diagrams CAT questions  to solve those CAT logical reasoning questions. By grasping the fundamental idea and working on various question types, you'll be on your way to mastering the CAT exam. Keep in mind that the key is to recognize the connections between the information sets presented and represent them visually in the Venn diagram. So, test your new Venn diagram skills and don't hesitate to think outside the box! The more you practice, the more confident you'll become in using Venn diagrams to overcome those CAT logic challenges.