Mathematics · JEE

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

6+ syllabus-aligned questions available

Quick answer

Short tricks for Union, intersection and complement of sets and their algebraic properties work only with strong fundamentals. Apply the tips below in timed sets and review every explanation.

Use these Union, intersection and complement of sets and their algebraic properties shortcuts to save time in JEE Mathematics papers — then validate speed with 6+ MCQs on Goodmarks.

Short tricks for speed

  • Union, intersection and complement of sets and their algebraic properties focus drill

    Solve 15 mixed MCQs for Union, intersection and complement of sets and their algebraic properties, review every explanation, and note formulas you hesitated on.

  • Calculus substitution scan

    Spot standard forms (sin²x, 1/(a²+x²), e^ax) before integrating — JEE rewards pattern recognition.

  • Graph sketch shortcut

    For coordinate geometry, mark intercepts and asymptotes first; many MCQs need only qualitative graph features.

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={4n3n1:nN}\boldsymbol{X}=\left\{4^{n}-3 n-1: n \in N\right\} and Y={9(n1):nN},\boldsymbol{Y}=\{\mathbf{9}(\boldsymbol{n}-\mathbf{1}): \boldsymbol{n} \in \boldsymbol{N}\}, where N\mathrm{N} is the set of natural numbers, then XY\boldsymbol{X} \cup \boldsymbol{Y} is equal to:
Q2MathsUnit 1: Sets, Relations and Functions
Let n()=700,n(A)=400,n(B)=300,n(An(\cup)=700, n(A)=400, n(B)=300, n(A \cap B)=300.\mathrm{B})=300 . Then (AB)=\left(\mathrm{A}^{\prime} \cap \mathrm{B}^{\prime}\right)=
Q3MathsUnit 1: Sets, Relations and Functions
f n(U)=50,n(A)=20,n((AB))=18n(U)=50, n(A)=20, n\left((A \cup B)^{\prime}\right)=18 then n(BA)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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Frequently asked questions

Are short tricks enough for Union, intersection and complement of sets and their algebraic properties in JEE?

No — tricks complement concepts. Master the theory first, then use shortcuts in timed MCQ practice.