Mathematics · JEE

Sets, Relations and Functions Concepts for JEE

95+ syllabus-aligned questions available

Quick answer

Master Sets, Relations and Functions by understanding definitions, standard results, and typical JEE question patterns — then practise with syllabus-aligned MCQs on Goodmarks.

Build clear conceptual foundations for Sets, Relations and Functions before speed practice. This guide covers what JEE expects and how to test yourself with MCQs.

Concept explainer

Concept overview for Sets, Relations and Functions covering 7 JEE syllabus subtopics including Sets and their representation, Union, intersection and complement of sets and their algebraic properties, Power set.

Key points

Understand the definition and scope of Sets and their representation in the JEE syllabus
Memorise key formulas and standard results linked to Sets and their representation
Practise 20–40 syllabus-aligned MCQs with step-by-step solutions
Understand the definition and scope of Union, intersection and complement of sets and their algebraic properties in the JEE syllabus
Memorise key formulas and standard results linked to Union, intersection and complement of sets and their algebraic properties
Practise 20–40 syllabus-aligned MCQs with step-by-step solutions

JEE tips

Revise Sets and their representation with a one-page formula sheet before attempting mixed tests
After each practice set, log mistakes specific to Sets and their representation and reattempt after 48 hours
Revise Union, intersection and complement of sets and their algebraic properties with a one-page formula sheet before attempting mixed tests
After each practice set, log mistakes specific to Union, intersection and complement of sets and their algebraic properties and reattempt after 48 hours

Common trap

Students often rush Sets and their representation questions without checking units, sign conventions, or boundary conditions — always verify assumptions before calculating.

JEE Formula Sheet

6+ important formulas for Sets, Relations and Functions

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Subtopics in Sets, Relations and Functions

View Sets, Relations and Functions formula sheet — 6+ JEE formulas

Free sample questions

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Q1MathsUnit 1: Sets, Relations and Functions

\mathbf{f}:[\mathbf{0}, \infty) \rightarrow[\mathbf{0}, \infty),

and

\mathbf{f}(\mathbf{x})=\frac{\mathbf{x}}{\mathbf{1}+\mathbf{x}}

then

\boldsymbol{f}

Q2MathsUnit 1: Sets, Relations and Functions

\boldsymbol{X}=\left\{4^{n}-3 n-1: n \in N\right\}

and

\boldsymbol{Y}=\{\mathbf{9}(\boldsymbol{n}-\mathbf{1}): \boldsymbol{n} \in \boldsymbol{N}\},

where

\mathrm{N}

is the set of natural numbers, then

\boldsymbol{X} \cup \boldsymbol{Y}

is equal to:

Q3MathsUnit 1: Sets, Relations and Functions

Which of the following is NOT equivalent to

\boldsymbol{p} \rightarrow \boldsymbol{q} ?

Q4MathsUnit 1: Sets, Relations and Functions

The price of 357 mangoes is Rs.1517.25. What will be the approximate price of 49 dozens of such mangoes?

Q5MathsUnit 1: Sets, Relations and Functions

Indian cricket team won 4 more matches than it lost with New Zealand. If it won

\frac{3}{5}

of its matches, how many matches did India play?

Q6MathsUnit 1: Sets, Relations and Functions

Assertion The relation

\boldsymbol{R}

given by

\boldsymbol{R}=\{(\mathbf{1}, \mathbf{3}),(\mathbf{4}, \mathbf{2}),(\mathbf{2}, \mathbf{4}),(\mathbf{2}, \mathbf{3}),(\mathbf{3}, \mathbf{1})\}

on a set

A=\{1,2,3,4\}

is not symmetric. Reason For symmetric relation

\boldsymbol{R}=\boldsymbol{R}^{-1}

Q7MathsUnit 1: Sets, Relations and Functions

Find the quantifier which best describes the variable of the open sentence

x^{2}+2 \geq 0

Q8MathsUnit 1: Sets, Relations and Functions

9 / 16

of a number is 51 greater than

50 \%

of the number. Then, that number is

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Frequently asked questions

What concepts in Sets, Relations and Functions are essential for JEE?

Focus on core ideas across Sets and their representation, Union, intersection and complement of sets and their algebraic properties, Power set, Relations, type of relations, equivalence relations, and more. JEE tests application, not just memorisation.