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Venn Diagram questions are often found in the Data Interpretation section of competitive and MBA entrance exams. This a topic that is taugh in Class 9 and 10, but often pose a challenge to MBA aspirants as questions asked in entrance exams are of advance level.
Preparation of Venn Diagram requires understanding the basic logic and practicing sample questions. Here we have explained the concept of venn diagram and shared sample question PDFs for practice. You can check this page to understand Venn Diagram if you are preparing for MBA entrance exams such as CAT, MAT, XAT, SNAP, NMAT, CMAT, etc.
- What are Venn Diagrams?
- DILR Practice Questions with Solutions PDFs
- FAQs Regarding Venn Diagrams
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.
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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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.
DILR Practice Questions with Solutions PDFs
Get here free PDFs of DILR practice questions with solutions. Practice these DILR questions to improve your performance in CAT and other MBA entrance exams:
FAQs Regarding Venn Diagrams
Q: What set operations can be expressed using a Venn diagram?
Q: What is the box in a Venn diagram?
Q: How can you depict the complement of a set using a Venn diagram?
Q: How can you depict disjoint sets in a Venn diagram?
Q: How do you express the intersection of two sets in a Venn diagram?
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