Mathematics · JEE

Union, intersection and complement of sets and their algebraic properties Concepts for JEE

6+ syllabus-aligned questions available

Quick answer

Master Union, intersection and complement of sets and their algebraic properties by understanding definitions, standard results, and typical JEE question patterns — then practise with syllabus-aligned MCQs on Goodmarks.

Build clear conceptual foundations for Union, intersection and complement of sets and their algebraic properties before speed practice. This guide covers what JEE expects and how to test yourself with MCQs.

Concept explainer

Union, intersection and complement of sets and their algebraic properties is a core JEE Main Mathematics subtopic under Sets, Relations and Functions. Master the definitions, standard results, and typical MCQ patterns tested in JEE Main and Advanced.

Key points

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 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 Union, intersection and complement of sets and their algebraic properties questions without checking units, sign conventions, or boundary conditions — always verify assumptions before calculating.

Syllabus context

Part of Sets, Relations and Functions in JEE Main Mathematics.

Free sample questions

Attempt 6 free MCQs for Union, intersection and complement of sets and their algebraic properties. Unlock the full bank with Pro.

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Q1MathsUnit 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:

Q2MathsUnit 1: Sets, Relations and Functions

Let

n(\cup)=700, n(A)=400, n(B)=300, n(A \cap

\mathrm{B})=300 .

Then

\left(\mathrm{A}^{\prime} \cap \mathrm{B}^{\prime}\right)=

Q3MathsUnit 1: Sets, Relations and Functions

n(U)=50, n(A)=20, n\left((A \cup B)^{\prime}\right)=18

then

n(B-A)

Q4MathsUnit 1: Sets, Relations and Functions

At a school,

20 \%

of the students are seniors. If all of the seniors attended the school play, and

60 \%

of all the students attended the play, then what percent of the non-seniors attended the play?

Q5MathsUnit 1: Sets, Relations and Functions

In a class, 20 opted for Physics, 17 for Maths, 5 for both and 10 for other subjects. The class contains how many students?

Q6MathsUnit 1: Sets, Relations and Functions

Let

A_{1}, A_{2}

and

A_{3}

be subsets of a set

X

Which one of the following is correct?

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Frequently asked questions

What concepts in Union, intersection and complement of sets and their algebraic properties are essential for JEE?

Focus on core ideas across Union, intersection and complement of sets and their algebraic properties. JEE tests application, not just memorisation.