Mathematics · JEE

Sets, Relations and Functions MCQs for JEE

66+ syllabus-aligned questions available

Quick answer

Sets, Relations and Functions JEE MCQs on Goodmarks include 60+ multiple-choice questions with correct answers and step-by-step solutions. Attempt free samples below or unlock the full bank with Pro.

Master Sets, Relations and Functions through exam-style multiple-choice questions. This page features 60+ JEE MCQs covering Sets and their representation, Union, intersection and complement of sets and their algebraic properties, Power set, Relations, type of relations, equivalence relations, and more, each with verified answers and clear explanations.

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

Free sample questions

Attempt 8 free MCQs for Sets, Relations and Functions. Unlock 58+ more with Pro.

Unlock full bank

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})

Want unlimited Sets, Relations and Functions practice?

Pro unlocks the full question bank, topic filters, and attempt history.

Get started free View Pro plans

Frequently asked questions

What type of Sets, Relations and Functions MCQs appear in JEE?

JEE Main tests Sets, Relations and Functions through conceptual and numerical MCQs. Goodmarks mirrors this format with four-option questions and detailed solutions.

How many MCQs should I solve for Sets, Relations and Functions?

Aim for at least 50–100 MCQs per subtopic. Goodmarks has 66+ questions for Sets, Relations and Functions to build speed and accuracy.

Are solutions provided for every MCQ?

Yes. Each MCQ shows the correct option, final answer, and a step-by-step explanation after you submit.

Can I filter MCQs by Sets, Relations and Functions only?

Pro subscribers can filter by subject, unit, and subtopic. Free users get a random mix across all subjects.