Mathematics · JEE

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

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Hard Union, intersection and complement of sets and their algebraic properties MCQs train multi-concept problem solving — attempt after mastering easy and medium sets (8+ on Goodmarks).

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

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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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