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JEE Main Sets, Relations and Functions questions with solutions

Set operations, relations, functions and their types. 10 questions from our 2016–2025 JEE Main pattern papers, from the Class 11 Mathematics syllabus. Each has the answer and a full solution.

Also practise: Sets, Relations and Functions for JEE Advanced

JEE Main 2025

The number of equivalence relations on the set \1,2,3,4\ that contain the ordered pair (1,2) isJEE Main 2025 · medium

JEE Main 2024

How many reflexive relations can be defined on the set \p,q,r\?JEE Main 2024 · easy

JEE Main 2023

Let A=\1,2,3,4,5\. The number of equivalence relations on A that contain (1,2) but do not contain (1,3) isJEE Main 2023 · medium

JEE Main 2022

The number of one-one functions f:\1,2,3,4\→\1,2,…,7\ such that f(i)≠ i for every i∈\1,2,3,4\ isJEE Main 2022 · hard

JEE Main 2021

The number of relations on the set A=\1,2,3,4\ that are both reflexive and symmetric isJEE Main 2021 · easy

JEE Main 2020

Among the integers from 1 to 200, the number of integers that are divisible by 2 or by 3 but are not divisible by 5 isJEE Main 2020 · medium

JEE Main 2018

The number of reflexive relations on a set containing 4 elements isJEE Main 2018 · medium

JEE Main 2017

If n(A)=20, n(B)=30 and n(A∪ B)=40, then the number of elements belonging to exactly one of A and B isJEE Main 2017 · easy
The number of relations on the set \1,2,3,4\ that are reflexive and symmetric but not transitive isJEE Main 2017 · hard

JEE Main 2016

On a set having exactly 3 elements, how many reflexive relations can be defined?JEE Main 2016 · easy

Other Mathematics topics

Area Under Curves 7 Binomial Theorem 12 Complex Numbers 10 Conic Sections 5 Differential Equations 9 Differentiation and Application of Derivatives 19 Indefinite and Definite Integrals 16 Limits 9 Matrices and Determinants 19 Permutations and Combinations 10 Probability 9 Quadratic Equations 9 Sequences and Series 9 Statistics 6 Straight Lines and Circles 9 Three Dimensional Geometry 14 Trigonometry and Inverse Trigonometric Functions 9 Vector Algebra 8