Most Important Sets, Relations, and Functions Questions for 2025-26 Exams
Strengthen your understanding of Sets, Relations, and Functions with this JEE Main mock test. Test your knowledge with 20 quality MCQs and boost your exam preparation! Evaluate your weak areas, track your progress, and master this crucial chapter before the exam.
🧠 Mock Test: 20 Questions · 20 Minutes
This mock test features 20 carefully selected JEE-level MCQs from Sets, Relations and Functions. You’ll have 20 minutes to attempt all questions. Click below to begin!
How the JEE Main Mock Test for Sets, Relations, and Functions Helps in Preparing for the 2025 Exam:
How to Increase Your Marks in JEE Main 2025 with Focus on Sets, Relations, and Functions
1. Review Mistakes: After every mock test, review all mistakes to strengthen your conceptual clarity.
2. Practice Regularly: Consistent practice of such MCQs is key to scoring high.
3. Manage Time: Use the timer to enhance your speed and accuracy.
4. Revise from Notes: Create chapter-wise notes for formulas, theorems, and shortcuts.
5. Practice Previous Papers: Solve previous years’ questions to get familiar with the JEE Main question types.
FAQs on Sets, Relations and Functions: Mock Test for Students (2025-26)
1. What is a set in mathematics?
A set is a well-defined collection of distinct objects, known as elements or members. The elements can be anything: numbers, letters or other objects. For example, the set of all vowels in the English alphabet is written as {a, e, i, o, u}.
2. Explain the difference between a relation and a function.
A relation from set A to set B is a subset of the Cartesian product A × B; it pairs elements of A with elements of B. A function is a special type of relation where each element in set A is paired with exactly one element in set B. All functions are relations, but not all relations are functions.
3. What are the types of sets?
Types of sets include: Empty set (no elements), Finite set (countable number of elements), Infinite set (endless elements), Subset (contained within another set), Universal set (all elements under consideration), and Equal sets (same elements).
4. What is a one-to-one (injective) function?
One-to-one functions (injective functions) are those where each element from the domain is mapped to a unique element in the codomain. No two different elements in the domain are mapped to the same element in the codomain.
5. How do you determine the number of subsets of a set?
If a set contains n elements, then it has 2n possible subsets, including the empty set and the set itself.
6. Give an example of a relation that is not a function.
Consider set A = {1, 2} and set B = {3, 4}. Relation R = {(1, 3), (1, 4), (2, 3)} is not a function because the element '1' in set A is paired with more than one element in set B, violating the definition of a function.
7. What is the domain and range of a function?
Domain is the set of all possible inputs (first elements), and range is the set of all possible outputs (second elements) for which the function is defined. For a function f: A → B, A is the domain and f(A) is the range, where f(A) denotes all actual outputs.
8. What are universal, null, and singleton sets?
Universal set contains all objects under consideration, null set has no elements (also called empty set), and singleton set contains exactly one element.
9. What is the Cartesian product of two sets?
The Cartesian product of two sets A and B, denoted as A × B, is the set of all ordered pairs (a, b) where a ∈ A and b ∈ B.
10. Differentiate between onto (surjective) and one-to-one (injective) functions.
Onto (surjective) function ensures that every element of the codomain has at least one pre-image in the domain. One-to-one (injective) function assures that no two elements from the domain map to the same element in the codomain. A function can be either, both, or neither.
11. How are relations and functions represented graphically?
Relations can be represented as a set of points (ordered pairs) on the Cartesian plane, or using arrow diagrams. A function's graph will pass the vertical line test: any vertical line intersects the graph at most once.
12. What is the significance of sets, relations, and functions in the Class 12 CUET exam?
Sets, relations, and functions are foundational topics in the Class 12 CUET exam. They cover basic definitions, operations on sets, types of relations, functions, and application-oriented problems. Mastering these concepts helps solve a variety of mathematical and real-life problems, and a strong understanding is essential for scoring well.
