Best Strategies to Score High in Sets, Relations & Functions Mock Tests
Sets, Relations, and Functions is a cornerstone chapter in JEE Mathematics, laying the groundwork for advanced algebra and calculus. This mock test covers critical areas including types of sets, Venn diagrams, properties of relations, and functions’ mapping, helping you master fundamental concepts and boost your problem-solving confidence. Test yourself now to solidify your understanding and maximize your JEE Main 2025 score!
Mock Test Instructions for the Sets Relations And Functions Mock Test-3:
- 20 questions from Sets Relations And Functions Mock Test-3
- 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?
- Practice with real exam-style MCQs to strengthen your understanding of set theory, relations, and functions.
- Identify frequent mistakes in subtopics like types of relations and function mappings by reviewing instant feedback.
- Learn to apply Venn diagrams, subset rules, and set operations for fast calculations during the JEE exam.
- Track your time management and develop problem-solving speed with timer-based tests simulating actual JEE.
- Evaluate your grasp on properties like injectivity, surjectivity, and domain-range with expert-compiled questions.
Master Set Theory and Functions for JEE Main with Expert-Designed Mock Tests
- Strengthen your basics of union, intersection, and complements through targeted practice questions.
- Polish your skills in recognizing equivalence relations and classifying functions as one-one or onto.
- Understand tricky problems related to the power set, Cartesian products, and composite functions with stepwise practice.
- Regular mock test practice helps in retaining all formulas and definitions essential for JEE success.
- Use analysis after each mock test to pinpoint weak concepts and revise efficiently before the exam.
Subject-Wise Excellence: JEE Main Mock Test Links
| S.No. | Subject-Specific JEE Main Online Mock Tests |
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| 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
| S.No. | Essential Study Material |
|---|---|
| 1 | JEE Main Notes |
| 2 | JEE Main Important Questions |
| 3 | JEE Main Question Papers |
| 4 | JEE Main Sample Papers |
| 5 | JEE Main Syllabus |
| 6 | JEE Main Mock Test Series |
| 7 | JEE Preparation Tips |
| 8 | JEE Main Formulas |
| 9 | JEE Main Difference Between |
| 10 | JEE Main Topic-wise Index |
FAQs on Sets, Relations and Functions Mock Test for JEE Main 2025-26 Preparation
1. What are sets, relations, and functions in mathematics?
Sets are well-defined collections of distinct objects, such as numbers or letters. A relation is a connection or association between elements of two sets, typically shown as ordered pairs. A function is a special type of relation where every element in the domain is mapped to exactly one element in the codomain. These concepts form the foundational basis for advanced algebra and calculus topics.
2. Give examples of sets, relations, and functions.
Example of a set: A = {2, 4, 6, 8}.
Example of a relation: R = {(2, 4), (4, 8), (6, 12)} between set A and set B.
Example of a function: f(x) = x + 3, mapping each element x in set A to x+3 in set B. This ensures every input has a unique output, fulfilling the definition of a function.
3. How can we determine if a relation is a function?
A relation is a function if every element of the domain (first set) maps to exactly one element in the codomain (second set). This means that in the set of ordered pairs, no two pairs have the same first element with different second elements.
4. What is the domain and range of a function?
Domain refers to the set of all possible input values (x-values) for a function. Range is the set of all possible output values (y-values) produced by the function. Understanding domain and range is essential for working with functions in algebra and calculus.
5. What is an equivalence relation?
An equivalence relation on a set is a relation that is reflexive (every element is related to itself), symmetric (if a is related to b, then b is related to a), and transitive (if a is related to b and b is related to c, then a is related to c). These properties partition a set into equivalence classes.
6. Where can I download sets, relations, and functions mock tests with answers in PDF format?
You can download sets, relations, and functions mock tests with answers PDF from trusted educational websites like Vedantu, NCERT, or CBSE resource portals. These resources often include multiple-choice questions, answer keys, and detailed solutions according to the latest syllabus.
7. What is the difference between a one-to-one and onto function?
A one-to-one function (injective) assigns each element in the domain to a unique element in the codomain, meaning no two inputs have the same output. An onto function (surjective) covers all elements of the codomain, meaning every element of the codomain is mapped by some element from the domain. If a function is both one-to-one and onto, it is called bijective.
8. How do you find the inverse of a function?
To find the inverse of a function, replace the function output f(x) with y, switch x and y, then solve for y in terms of x. The domain and range of the original function swap for the inverse. Only bijective (both one-to-one and onto) functions have inverses that are also functions.
9. What types of questions are common in sets, relations, and functions multiple choice tests?
Common MCQs cover definitions, properties of set operations (union, intersection, complement), identifying types of relations, checking if a given relation is a function, and solving problems on domain and range. Other frequent topics include one-to-one and onto functions, inverse functions, and questions based on NCERT and CBSE pattern.
10. Where can I access the answer key for sets, relations, and functions practice tests?
Most mock tests and question banks, including those on Vedantu and similar platforms, provide a downloadable answer key or detailed explanatory solutions, usually available at the end of the PDF or on the website where you access or download the practice test.
11. Are these tests and resources suitable for CUET and Class 12 board exams?
Yes, most sets, relations, and functions mock tests are specifically tailored to match the Class 12 CBSE syllabus and exam patterns, as well as competitive exams like CUET. They help students practice core concepts, MCQs, and case-based questions important for scoring good marks in both board and entrance exams.
12. How does practicing with sets, relations, and functions mock tests help in exam preparation?
Regularly practicing with mock tests improves your understanding of key formulas, problem-solving techniques, and application-based questions. It helps students identify weak areas, become familiar with the question pattern, manage time efficiently, and boost overall confidence before exams like CBSE Class 12 or CUET.
