Sets, Relations and Functions - JEE Main Previous Year Questions with Solutions and Weightage

Sets, Relations and Functions is part of the JEE Main Mathematics syllabus and carries 3.3% weightage in the JEE Main Mathematics Question Paper, generally 1-2 questions are asked from this topic.

Sets denote the collection of ordered elements whereas relations and functions define the operations being performed on the sets.

Sets, Relations and Functions is considered to be easy to moderate with major focus on subtopics such as Types of Functions, Domain & Range, Invertible Functions.

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• Download JEE Main Last 10 year PYQ for Free
• Download JEE Main 2025 Shift 1 Question Paper with Detailed Solutions

The Sets, Relations and Functions related questions with detailed solutions asked in JEE Main are listed below:

Question 1

1. 510
2. 525
3. 515
4. 505

View Solution

Question 2

1. 1+log22
2. log⁡22
3. 2log22 - 1
4. 1 - log22

View Solution

Question 3

1. 715
2. 735
3. 545
4. 675

View Solution

Question 4

1. 167/72
2. 171/72
3. 131/72
4. 157/72

View Solution

Question 5

1. 30
2. 36
3. 29
4. 31

View Solution

Question 6

1. 118
2. 92
3. 102
4. 108

View Solution

Question 7

1. I(9,1)
2. I(19,27)
3. I(1,13)
4. I(9,13

View Solution

Question 8

1. 510
2. 525
3. 515
4. 505

View Solution

Question 9

1. 2196
2. 2172
3. 2184
4. 2148

View Solution

Question 10

View Solution

JEE Main 2025 Mathematics Question Paper Pattern

The JEE Main 2025 Mathematics question paper consists of 25 mandatory questions worth a total of 100 marks. Each correct answer will be awarded +4 marks and 1 mark will be deducted for every incorrect answer.

JEE Main Mathematics Chapter Wise Weightage

The JEE Main Mathematics chapters are divided into three categories: High weightage, Medium Weightage and Low Weightage.

High Weightage Chapters: Coordinate Geometry (15.33%), Calculus (12%) and Algebra (27%) are the highest weightage chapters in Mathematics. Candidates should have a strong hold on the concept and formulas in order to maximize their score.

Medium Weightage Chapters: Vector Algebra (6.33%), 3D Geometry (6.6%), Probability and Statistics (6.5%) and Differential Equations (5.6%) are categorized in the medium weightage chapters as they are responsible for approximately 2-4 questions in the Mathematics question paper.

Low Weightage Chapters: Trigonometry (4.5%), Permutation and Combination (3.5%) and Binomial Theorem (3.1%) are categorized in the low weightage chapters. Questions from these chapters are not frequently asked in the mathematics paper.

JEE Main Mathematics Previous Year Question Papers with Solutions

The JEE Main Mathematics question paper PDFs along with the detailed solution PDFs for the last 5 years is tabulated below:

JEE Main 2024 Mathematics Question Paper Session 1

JEE Main 2024 Mathematics Question Paper Session 2

JEE Main 2023 Mathematics Question Paper

JEE Main 2023 Mathematics Question Paper Session 1

JEE Main 2022 Mathematics Question Paper with Solution PDF

JEE Main 2022 Mathematics Question Paper with Solution PDF- Phase 1

JEE Main 2021 Mathematics Question Paper- Download PDF

JEE Main 2021 Mathematics Question Paper with Solution (Session3- July)- Download PDF

JEE Main 2021 Mathematics Question Paper with Solution (Session 2- March)- Download PDF

JEE Main 2021 Mathematics Question Paper with Solution (Session 1- February) - Download PDF

JEE Main 2020 Mathematics Question Paper with Solutions- Download PDF

JEE Main 2020 Mathematics Question Paper with Solutions (Session 1- January) - Download PDF

Also Check:

• Important Questions for Relations and Functions
• NCERT Mathematics Class 11th Books
• NCERT Mathematics Class 12th Books

Frequently Asked Questions

Is Set Theory important for JEE?

In the JEE Main Mathematics Syllabus, Sets, Relations and Functions are one of the important topics because it serves as a fundamental chapter for various other advanced concepts of Mathematics.

What are the 12 types of Sets?

The 12 types of Sets are: Empty (null), Singleton, Finite, Infinite, Equal, Equivalent, Overlapping, Disjoint, Subset, Proper Subset, Superset, Proper Superset, Power and Universal Sets.

What is Relation and Function?

A relation is a set of ordered pairs that describes a relation between two sets whereas a functions is a specific type of relation where each input (x value) corresponds to only one output (y value).

What is Relation and its types?

A relation describes a connection between elements of sets. There are several types of relations:

Empty Relation (Void Relation): A relation where no element of one set is related to any element of another set.

Universal Relation: A relation where every element of one set is related to every element of another set.

Identity Relation: A relation where every element is related only to itself.

Reflexive Relation: A relation where every element is related to itself.

Symmetric Relation: A relation where if one element is related to another then second element is also related to the first.

Transitive Relation: A relation where if one element is related to a second element and that second element is related to a third, then the first element is also related to the third.

Equivalence Relation: A relation which is reflexive, symmetric and transitive.

Inverse Relation: If a set with elements has the inverse pairs of another set then relation is known as an Inverse Relation.

What is a function in mathematics?

In mathematics, a function from a set X to a set Y means that each element of X is assigned to exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.