Proven Strategies to Excel in JEE Main Sets, Relations & Functions Mock Tests
Sets, Relations and Functions form the backbone of JEE Main Maths, strengthening your logic, reasoning, and abstraction skills vital for tougher problems ahead. Master concepts like union, intersection, types of relations, functions, and Venn diagrams to ensure full marks on these frequently-tested topics. Take this focused mock test to identify gaps, perfect your speed, and boost your confidence for JEE Main 2025!
Mock Test Instructions for the Sets Relations And Functions Mock Test-2:
- 20 questions from Sets Relations And Functions Mock Test-2
- Time limit: 20 minutes
- Single correct answer per question
- Correct answers appear in bold green after submission
How Can JEE Mock Tests Help You Master Sets, Relations, and Functions?
- Identify your weaknesses in Venn diagrams, functions, and relations through immediate feedback.
- Improve your problem-solving accuracy in unions, intersections, domains, and ranges with time-bound practice.
- Gain confidence in the application of equivalence relations, types of functions, and ordered pairs.
- Track your chapter mastery over time by reviewing your scores and mistakes.
- Use mock tests to reinforce formula memorization and conceptual clarity for JEE-style MCQs.
Sharpen Your Sets, Relations, and Functions Concepts with Expert-Curated JEE Mock Tests
- Strengthen your understanding of domains, codomains, and mapping with targeted practice questions.
- Apply important formulas for sets operations, relations, and function types in exam-specific scenarios.
- Master tricky ordered pairs, Cartesian product, and range/domain problems under a real-timer.
- Bridge the gap between theory and application with chapter-wise JEE Maths MCQs and explanations.
- Leverage expert tips after each test for continuous improvement in Sets, Relations, and Functions.
Subject-Wise Excellence: JEE Main Mock Test Links
| S.No. | Subject-Specific JEE Main Online Mock Tests |
|---|---|
| 1 | Online FREE Mock Test for JEE Main Chemistry |
| 2 | Online FREE Mock Test for JEE Main Maths |
| 3 | Online FREE Mock Test for JEE Main Physics |
Important Study Materials Links for JEE Exams
FAQs on Sets, Relations and Functions: JEE Main 2025-26 Mock Test Preparation
1. What are sets, relations, and functions in Mathematics?
In Mathematics, sets are well-defined collections of distinct objects; relations describe the connection between elements of two sets; and functions are special relations where each input from the first set has a unique output in the second set. Understanding these foundational concepts is essential for topics like mappings, algebra, and calculus.
2. Give an example of a set, a relation, and a function.
Example of a set: A = {1, 2, 3}.
Example of a relation: R = {(1,2), (2,3)} from set A to set B = {2,3,4}.
Example of a function: f(x) = x2 where x ∈ {1,2,3} and f(x) maps each x to its square.
3. What is the difference between a relation and a function?
A relation simply pairs elements of one set with elements of another set and can assign multiple outputs to a single input. In contrast, a function is a type of relation where every input has only one unique output.
4. How can you determine if a relation is a function?
To determine if a relation is a function, check whether each element in the domain (first set) is associated with exactly one element in the codomain (second set). If every input maps to a single unique output, it is a function.
5. What is a universal set with example?
The universal set is the set that contains all possible elements under consideration for a particular discussion. For example, if discussing whole numbers between 1 and 10, then U = {1,2,3,4,5,6,7,8,9,10} acts as the universal set.
6. Provide some real-life examples of functions.
Real-life examples of functions include:
- Assigning each student in a class to their roll number
- Converting temperature from Celsius to Fahrenheit
- Letter grade assigned to a student based on marks
7. What is the domain, codomain, and range of a function?
The domain of a function is the set of all possible inputs; the codomain is the set of all possible outputs; and the range is the set of actual outputs the function produces for elements of the domain.
8. What are the different types of relations?
The different types of relations include reflexive (every element is related to itself), symmetric (if a is related to b, b is related to a), transitive (if a is related to b and b to c, then a is related to c), and equivalence relations (relations that are reflexive, symmetric, and transitive).
9. What types of functions are there?
Types of functions include one-one (injective), onto (surjective), one-one onto (bijective), constant functions, and identity functions. Each type has unique mapping properties between elements of the domain and codomain.
10. How do you check whether a given relation is an equivalence relation?
To verify if a relation is an equivalence relation, ensure it satisfies all three properties: reflexivity, symmetry, and transitivity. Check each property stepwise for all elements in the set.
11. What is an ordered pair? Why is the order important in relations?
An ordered pair (a, b) consists of two elements with specified order, where a ≠ b may result in (a, b) ≠ (b, a). Order matters in relations because it distinguishes the first element (domain) from the second (codomain).
12. Where can I find sets, relations, and functions chapter-wise mock tests and PDFs for practice?
You can find mock tests and PDFs for sets, relations, and functions on various educational websites like Vedantu, NCERT, and other learning platforms. Look for chapter-wise practice papers, multiple choice questions (MCQs), and sample papers downloadable in PDF format for thorough exam preparation.
