Class 12 Mathematics Chapter 1: Relations and Functions — Important Questions & Mock Tests
Practice Relations and Functions topic-wise important questions, MCQs and 1, 2, 3 and 5 mark questions for CBSE revision.
300 Questions 58 Topics MCQs: 100 1 Mark: 50 2 Mark: 50 3 Mark: 50 5 Mark: 50
Topic-wise important and practice questions
Review question distribution across chapter topics for MCQs, 1 Mark questions, 2 Mark questions, 3 Mark questions, 5 Mark questions.
| Topic | MCQ | 1 Mark | 2 Mark | 3 Mark | 5 Mark | Total |
|---|---|---|---|---|---|---|
| Counting One-One Functions | 5 | 0 | 5 | 0 | 0 | 10 |
| Testing Relation Properties | 5 | 0 | 5 | 0 | 0 | 10 |
| Assertion-Reason: Relations and Functions | 5 | 0 | 0 | 0 | 0 | 5 |
| Case-Based Relations and Functions | 0 | 0 | 0 | 0 | 5 | 5 |
| Comparison of Relations | 0 | 0 | 0 | 0 | 5 | 5 |
| Counting Injective Functions | 0 | 0 | 0 | 5 | 0 | 5 |
| Counting Reflexive Relations | 0 | 0 | 0 | 0 | 5 | 5 |
| Counting Relations on a Finite Set | 5 | 0 | 0 | 0 | 0 | 5 |
| Domain and Codomain Effects | 0 | 5 | 0 | 0 | 0 | 5 |
| Domain-Codomain Dependence | 0 | 0 | 0 | 0 | 5 | 5 |
| Effect of Domain and Codomain | 0 | 0 | 5 | 0 | 0 | 5 |
| Effect of Domain and Codomain on Function Type | 5 | 0 | 0 | 0 | 0 | 5 |
| Equal-Image Classes | 0 | 0 | 0 | 5 | 0 | 5 |
| Equal-Image Equivalence Classes | 0 | 0 | 0 | 0 | 5 | 5 |
| Equal-Image Equivalence Relation | 0 | 0 | 5 | 0 | 0 | 5 |
| Equivalence Class | 0 | 5 | 0 | 0 | 0 | 5 |
| Equivalence Class Structure | 0 | 0 | 0 | 5 | 0 | 5 |
| Equivalence Classes and Representatives | 0 | 5 | 0 | 0 | 0 | 5 |
| Equivalence Classes on a Finite Set | 0 | 0 | 5 | 0 | 0 | 5 |
| Equivalence Classes under Congruence | 5 | 0 | 0 | 0 | 0 | 5 |
| Equivalence Relation and Class | 0 | 0 | 0 | 5 | 0 | 5 |
| Equivalence Relation and Partition | 0 | 0 | 0 | 0 | 5 | 5 |
| Equivalence Relation from Equal Function Values | 5 | 0 | 0 | 0 | 0 | 5 |
| Equivalence Relation Induced by a Partition | 5 | 0 | 0 | 0 | 0 | 5 |
| Equivalence Relation Proof | 0 | 0 | 5 | 0 | 0 | 5 |
| Equivalence Relations and Partitions | 0 | 0 | 0 | 0 | 5 | 5 |
| Equivalence Relations from Remainders | 5 | 0 | 0 | 0 | 0 | 5 |
| Finite and Infinite Sets | 5 | 0 | 0 | 0 | 0 | 5 |
| Finite Self-Maps | 0 | 0 | 5 | 0 | 0 | 5 |
| Finite Self-Maps and Bijections | 0 | 0 | 0 | 0 | 5 | 5 |
| Finite Set: One-One and Onto | 5 | 0 | 0 | 0 | 0 | 5 |
| Finite versus Infinite Function Behaviour | 0 | 0 | 0 | 0 | 5 | 5 |
| Finite versus Infinite Self-Maps | 0 | 0 | 0 | 5 | 0 | 5 |
| Finite versus Infinite Sets | 0 | 0 | 5 | 0 | 0 | 5 |
| Finite-Set Bijection Theorem | 0 | 0 | 0 | 5 | 0 | 5 |
| Finite-Set One-One Implies Onto | 0 | 5 | 0 | 0 | 0 | 5 |
| Finite-Set Onto Implies One-One | 0 | 5 | 0 | 0 | 0 | 5 |
| Interpreting a Function Mapping Diagram | 5 | 0 | 0 | 0 | 0 | 5 |
| Membership in a Modular Relation | 5 | 0 | 0 | 0 | 0 | 5 |
| Natural Equivalence Relations | 5 | 0 | 0 | 0 | 0 | 5 |
| Non-Equivalence Relation Analysis | 0 | 0 | 0 | 5 | 0 | 5 |
| One-One and Onto Function Analysis | 0 | 0 | 0 | 5 | 0 | 5 |
| One-One and Onto Function Proof | 0 | 0 | 5 | 0 | 0 | 5 |
| One-One and Onto Functions | 5 | 0 | 0 | 0 | 0 | 5 |
| One-One Function | 0 | 5 | 0 | 0 | 0 | 5 |
| Onto Function | 0 | 5 | 0 | 0 | 0 | 5 |
| Partition and Equivalence Relation | 0 | 0 | 5 | 0 | 0 | 5 |
| Partition-to-Equivalence Construction | 0 | 0 | 0 | 5 | 0 | 5 |
| Preimage and Surjectivity | 5 | 0 | 0 | 0 | 0 | 5 |
| Properties of Relations | 5 | 0 | 0 | 0 | 0 | 5 |
| Reflexive Relation | 0 | 5 | 0 | 0 | 0 | 5 |
| Relation Induced by a Function | 0 | 5 | 0 | 0 | 0 | 5 |
| Relation Matrix Analysis | 0 | 0 | 0 | 5 | 0 | 5 |
| Relation Matrix Interpretation | 5 | 0 | 0 | 0 | 0 | 5 |
| Standard Function Examples | 5 | 0 | 0 | 0 | 0 | 5 |
| Surjective and Many-One Functions | 5 | 0 | 0 | 0 | 0 | 5 |
| Visual Data Interpretation | 0 | 0 | 0 | 0 | 5 | 5 |
| Visual Interpretation of Relations and Functions | 0 | 5 | 0 | 0 | 0 | 5 |