Mathematics · JEE

Online Practice: Sets, Relations and Functions for JEE

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Sharpen your mathematics preparation with interactive online practice for Sets, Relations and Functions. Goodmarks offers 60+ JEE-style MCQs mapped to the official syllabus, each with detailed explanations so you learn from every attempt.

Subtopics in Sets, Relations and Functions

Sets and their representation
Union, intersection and complement of sets and their algebraic properties
Power set
Relations, type of relations, equivalence relations
Functions
One-one, into and onto functions
The composition of functions

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Q1MathsUnit 1: Sets, Relations and Functions

\mathbf{f}:[\mathbf{0}, \infty) \rightarrow[\mathbf{0}, \infty),

and

\mathbf{f}(\mathbf{x})=\frac{\mathbf{x}}{\mathbf{1}+\mathbf{x}}

then

\boldsymbol{f}

Q2MathsUnit 1: Sets, Relations and Functions

Which of the following is NOT equivalent to

\boldsymbol{p} \rightarrow \boldsymbol{q} ?

Q3MathsUnit 1: Sets, Relations and Functions

The price of 357 mangoes is Rs.1517.25. What will be the approximate price of 49 dozens of such mangoes?

Q4MathsUnit 1: Sets, Relations and Functions

Indian cricket team won 4 more matches than it lost with New Zealand. If it won

\frac{3}{5}

of its matches, how many matches did India play?

Q5MathsUnit 1: Sets, Relations and Functions

Assertion The relation

\boldsymbol{R}

given by

\boldsymbol{R}=\{(\mathbf{1}, \mathbf{3}),(\mathbf{4}, \mathbf{2}),(\mathbf{2}, \mathbf{4}),(\mathbf{2}, \mathbf{3}),(\mathbf{3}, \mathbf{1})\}

on a set

A=\{1,2,3,4\}

is not symmetric. Reason For symmetric relation

\boldsymbol{R}=\boldsymbol{R}^{-1}

Q6MathsUnit 1: Sets, Relations and Functions

9 / 16

of a number is 51 greater than

50 \%

of the number. Then, that number is

Q7MathsUnit 1: Sets, Relations and Functions

Let

\boldsymbol{f}(\boldsymbol{x})=\mathbf{2}^{100} \boldsymbol{x}+\mathbf{1}

\boldsymbol{g}(\boldsymbol{x})=\boldsymbol{3}^{100} \boldsymbol{x}+\mathbf{1}

Then the set of real numbers x such that

\boldsymbol{f}(\boldsymbol{g}(\boldsymbol{x}))=\boldsymbol{x}

Q8MathsUnit 1: Sets, Relations and Functions

Let

f

be a function such that

f(3)=1

and

f(3 x)=x+f(3 x-3)

for all

x

Then find the value of

\boldsymbol{f}(\boldsymbol{3 0 0})

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How do I practice Sets, Relations and Functions online for JEE?

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How many Sets, Relations and Functions questions are available?

Goodmarks currently has 66+ JEE-aligned MCQs for Sets, Relations and Functions, 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 Sets and their representation, Union, intersection and complement of sets and their algebraic properties, Power set, Relations, type of relations, equivalence relations, and more.

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