# Welcome to the Relations MCQs Page

Dive deep into the fascinating world of Relations with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Relations, a crucial aspect of Discrete Mathematics. In this section, you will encounter a diverse range of MCQs that cover various aspects of Relations, from the basic principles to advanced topics. Each question is thoughtfully crafted to challenge your knowledge and deepen your understanding of this critical subcategory within Discrete Mathematics.

Check out the MCQs below to embark on an enriching journey through Relations. Test your knowledge, expand your horizons, and solidify your grasp on this vital area of Discrete Mathematics.

Note: Each MCQ comes with multiple answer choices. Select the most appropriate option and test your understanding of Relations. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

### Relations MCQs | Page 1 of 5

Q1.
How many binary relations are there on a set S with 9 distinct elements?
Q2.
_________ number of reflexive relations are there on a set of 11 distinct elements.
Q3.
The number of reflexive as well as symmetric relations on a set with 14 distinct elements is __________
Q4.
The number of symmetric relations on a set with 15 distinct elements is ______
Q5.
Suppose S is a finite set with 7 elements. How many elements are there in the largest equivalence relation on S?
Q6.
________ is the rank of the largest equivalence relation on a set of 20 elements.
Q7.
How many elements are there in the smallest equivalence relation on a set with 8 elements?
Q8.
The rank of smallest equivalence relation on a set with 12 distinct elements is _______