Mathematics · JEE

Online Practice: Union, intersection and complement of sets and their algebraic properties for JEE

8+ syllabus-aligned questions available

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Sharpen your mathematics preparation with interactive online practice for Union, intersection and complement of sets and their algebraic properties. Goodmarks offers 8+ JEE-style MCQs mapped to the official syllabus, each with detailed explanations so you learn from every attempt.

Syllabus context

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

Free sample questions

Attempt 8 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

In a class consisting of 100 students, 20 know English and 20 do not know Hindi and 10 know neither English nor Hindi. The number of students knowing both Hindi and English is:

Q5MathsUnit 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?

Q6MathsUnit 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?

Q7MathsUnit 1: Sets, Relations and Functions

fin

(A)=120, N(B)=250

and

n(A-B)=

52, then find

n(A \cup B)

Q8MathsUnit 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

How do I practice Union, intersection and complement of sets and their algebraic properties online for JEE?

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How many Union, intersection and complement of sets and their algebraic properties questions are available?

Goodmarks currently has 8+ JEE-aligned MCQs for Union, intersection and complement of sets and their algebraic properties, with more added regularly.

Is this aligned with the JEE Main syllabus?

Yes. All Mathematics questions on Goodmarks are organised by official JEE Main units and subtopics, including Union, intersection and complement of sets and their algebraic properties.

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Every question includes the correct answer and a step-by-step explanation. Free users can practise a random mix; Pro unlocks full subject and topic filters.