Mathematics · JEE

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

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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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