Venn Diagrams Questions with Answers for MBA Preparation: Download PDFs

DILR Prep Tips for MBA 2026

Vipra Shrivastava
Updated on Mar 12, 2026 17:04 IST

By Vipra Shrivastava, Senior Manager - Content

Venn Diagram questions are mostly a part of Data Interpretation section of MBA entrance tests and other competitive exams. This topic is taught in Class 9 and 10 so it is not a new topic for any aspirant. It may however be that, they may not have paid much attention to it as it carries low weightage in board exams. For CAT or any entrance exam preparation, however, candidates will need to study it in detail. Revision and practice of Venn Diagram is necessary as questions asked from this topic are of advance level. Here we have explained the concept of Venn diagram and shared sample question PDFs for practice. You can check this blog to understand Venn Diagram if you are preparing for MBA entrance exams such as CAT, MAT, XAT, SNAP, NMAT, CMAT, etc. 

Table of contents
  • What are Venn Diagrams?
  • DILR Practice Questions with Solutions PDFs
  • FAQs Regarding Venn Diagrams
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What are Venn Diagrams?

Venn diagrams are essentially a pictorial representation of sets using circles. They represent individual sets. depict operations between sets and showcase relations between two or more sets. They were first introduced by John Venn in the 19th Century, and are also called set diagrams or logic diagrams.

Use of Venn Diagram

Venn Diagram is used for Set operations such as union and intersection, as well as arithmetic operations such as addition and subtraction. Questions on Venn Diagram are based on the relation between the sets. One has to deduce result by reading the sets and their inter-relation.

venn diagram

Set Operations Using Venn Diagrams

Ref: NCERT

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Venn diagrams can also be used to show subsets and complements of sets. In a Venn diagram, it isn’t just the circles that depict the sets that are important. The box that encloses these circles is also a part of the Venn diagram and is equally important. This is because the region interior to this box represents the universal set.

Using the Venn diagram, you cannot just depict the complements of individual sets, but also the complements of unions and intersections of two or more sets. These are difficult to express using set equations, but Venn Diagrams make them easier.

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Venn Diagram Illustrated Examples

  • Set A is the set of all non-negative real numbers. Set B is the set of whole numbers. What is the intersection of A and B?
    The intersection of A and B is the number 0.
  • If Set A has 10 elements, Set B has 4 elements, and both the sets have 2 elements in common, how many elements does the union of A and B have?
    The union of A and B has n(A) + n(B) - n(AB) elements
    = 10 + 4 - 2
    = 12
  • What is the complement of the set of rational numbers, if the universal set is the set of real numbers?
    The complement of the set of rational numbers is the set of irrational numbers.

Check out more CAT DI questions. You can download the PDFs and practice questions of various types and analyse your progress. 

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FAQs Regarding Venn Diagrams

Q: What set operations can be expressed using a Venn diagram?

A: The union, intersection, and complement of sets can be expressed using a Venn diagram.

Q: What is the box in a Venn diagram?

A: The box is an important part of the Venn diagram, and represents the universal set.

Q: How can you depict the complement of a set using a Venn diagram?

A: The area inside the box, apart from the set itself, is the complement of the set.

Q: How can you depict disjoint sets in a Venn diagram?

A: Two circles in a Venn diagram that do not have any common area can be said to be disjoint

Q: How do you express the intersection of two sets in a Venn diagram?

A: The area common to two circles in a Venn diagram can be said to be the intersection of the sets they represent.

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