Mathematics · JEE

Important Questions: Relations, type of relations, equivalence relations for JEE

29+ syllabus-aligned questions available

Quick answer

The most important Relations, type of relations, equivalence relations questions for JEE cover conceptual traps, standard results, and numerical patterns from Relations, type of relations, equivalence relations. Goodmarks provides 29+ high-yield MCQs with full solutions.

Focus on what matters most. These important Relations, type of relations, equivalence relations questions cover high-weightage concepts from Relations, type of relations, equivalence relations — the topics JEE repeats every year.

Syllabus context

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

Free sample questions

Attempt 8 free MCQs for Relations, type of relations, equivalence relations. Unlock 21+ more with Pro.

Unlock full bank

Q1MathsUnit 1: Sets, Relations and Functions

Which of the following is NOT equivalent to

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

Q2MathsUnit 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}

Q3MathsUnit 1: Sets, Relations and Functions

Which of the following statements is the contrapositive of the statement, You win the game if you know the rules but are not overconfident.

Q4MathsUnit 1: Sets, Relations and Functions

The contrapositive statement of statement "If

x

is prime number, then

x

is odd" is

Q5MathsUnit 1: Sets, Relations and Functions

x^{2}=x y

is a relation (defined on set

R

) which is

Q6MathsUnit 1: Sets, Relations and Functions

Consider the following two statements:

P:

If 7 is an odd number, then 7 is divisible by 2. Q: If 7 is a prime number, then 7 is an odd number If

V_{1}

is the truth value of the contrapositive of

\mathrm{P}

and

V_{2}

is the truth value of contrapositive of

Q,

then the ordered pair

\left(V_{1}, V_{2}\right)

equals:

Q7MathsUnit 1: Sets, Relations and Functions

Which of the following statements is the inverse of "Our pond floods whenever there is a thunderstorm."?

Q8MathsUnit 1: Sets, Relations and Functions

\mathrm{R}

is a relation in

\mathrm{A}

and

(\mathrm{a}, \mathrm{b}) \notin \mathrm{r},

implies (b, a)

\notin \mathrm{R}

then

\mathrm{R}

is said to be relation

Want unlimited Relations, type of relations, equivalence relations practice?

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

Get started free View Pro plans

Frequently asked questions

What makes a Relations, type of relations, equivalence relations 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 Relations, type of relations, equivalence relations. 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.