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Mathematics · JEE

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

6+ syllabus-aligned questions available

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Revise Union, intersection and complement of sets and their algebraic properties by covering every subtopic once, drilling formulas, then solving 6+ timed MCQs with full solutions.

Use this Union, intersection and complement of sets and their algebraic properties revision checklist before mocks and the final exam. Reinforce concepts with 6+ syllabus-aligned MCQs on Goodmarks.

Revision checklist

  1. 1.Core idea: Union, intersection and complement of sets and their algebraic properties
  2. 2.Relates to other subtopics in Sets, Relations and Functions
  3. 3.Union, intersection, complement, power set
  4. 4.Equivalence relations
  5. 5.Master Union, intersection and complement of sets and their algebraic properties definitions and standard results
  6. 6.Solve 20 timed MCQs for Union, intersection and complement of sets and their algebraic properties

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
If X={4n−3n−1:n∈N}\boldsymbol{X}=\left\{4^{n}-3 n-1: n \in N\right\} and Y={9(n−1):n∈N},\boldsymbol{Y}=\{\mathbf{9}(\boldsymbol{n}-\mathbf{1}): \boldsymbol{n} \in \boldsymbol{N}\}, where N\mathrm{N} is the set of natural numbers, then X∪Y\boldsymbol{X} \cup \boldsymbol{Y} is equal to:
Q2MathsUnit 1: Sets, Relations and Functions
Let n(∪)=700,n(A)=400,n(B)=300,n(A∩n(\cup)=700, n(A)=400, n(B)=300, n(A \cap B)=300.\mathrm{B})=300 . Then (A′∩B′)=\left(\mathrm{A}^{\prime} \cap \mathrm{B}^{\prime}\right)=
Q3MathsUnit 1: Sets, Relations and Functions
f n(U)=50,n(A)=20,n((A∪B)′)=18n(U)=50, n(A)=20, n\left((A \cup B)^{\prime}\right)=18 then n(B−A)n(B-A) is
Q4MathsUnit 1: Sets, Relations and Functions
At a school, 20%20 \% of the students are seniors. If all of the seniors attended the school play, and 60%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 A1,A2A_{1}, A_{2} and A3A_{3} be subsets of a set XX Which one of the following is correct?

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How should I revise Union, intersection and complement of sets and their algebraic properties before JEE?

Follow the checklist on this page, revise formulas daily, and attempt mixed MCQs every 2–3 days.

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