Mathematics · JEE

Important Questions: Sets, Relations and Functions for JEE

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The most important Sets, Relations and Functions questions for JEE cover conceptual traps, standard results, and numerical patterns from Sets and their representation, Union, intersection and complement of sets and their algebraic properties, Power set, Relations, type of relations, equivalence relations, and more. Goodmarks provides 60+ high-yield MCQs with full solutions.

Focus on what matters most. These important Sets, Relations and Functions questions cover high-weightage concepts from Sets and their representation, Union, intersection and complement of sets and their algebraic properties, Power set, Relations, type of relations, equivalence relations, and more — the topics JEE repeats every year.

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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Frequently asked questions

What makes a Sets, Relations and Functions question "important" for JEE?

Important questions test core concepts that appear frequently across JEE Main and Advanced papers — definitions, standard formulas, and classic problem types.

Which subtopics in Sets, Relations and Functions are high-weightage?

Key areas include Sets and their representation, Union, intersection and complement of sets and their algebraic properties, Power set, Relations, type of relations, equivalence relations, and more. Prioritise these before moving to edge cases.

How many important questions should I revise?

Revise 30–50 important MCQs per unit in the last month before JEE. Focus on questions you got wrong at least once.

Can I practise only important questions on Goodmarks?

Pro users can filter by unit and subtopic to target high-yield areas. Free users can attempt sample questions on this page.