JEE Main Maths · Relations and Functions

Relation Types

Relation Types (Relations and Functions) was asked 5 times in 5 JEE Main shifts, 2023–2025, out of the 42 shifts Lumi analysed. 1 of the 5 had a numerical answer.

Times asked: 5; in 5 shifts
Years: 2023–2025
Usual format: Single correct; Conceptual
Pattern: Comes in cycles; repeats across shifts

How it is asked

Classify relation as reflexive symmetric transitive
Count relation elements and closure additions

Difficulty

Easy 1Medium 4Hard 0

Where it sits

Chapter: Relations and Functions. Topic: Sets and Relations, 25 questions over 10 ideas.

All 5 questions

Newest first, each with its options and official answer.

4 Apr 2025, Shift 2 · Q2Let $A=\{-3,-2,-1,0,1,2,3\}$ and R be a relation on A defined by $xRy$ if and only if $2x-y\in\{0,1\}$ . Let $l$ be the number of elements…MediumSingle correct
8 Apr 2025, Shift 2 · Q1Let $A = \{0, 1, 2, 3, 4, 5\}$ . Let $R$ be a relation on $A$ defined by $(x, y) \in R$ if and only if $\max\{x, y\} \in \{3, 4\}$ . Then…MediumOther
29 Jan 2024, Shift 1 · Q2Let R be a relation on $\mathbb{Z}\times\mathbb{Z}$ defined by $(a, b)\,R\,(c, d)$ if and only if $ad-bc$ is divisible by 5. Then R isMediumSingle correct
31 Jan 2024, Shift 2 · Q21Let $A=\{1,2,3,\ldots,100\}$ . Let $R$ be a relation on $A$ defined by $(x,y)\in R$ if and only if $2x=3y$ . Let $R_1$ be a symmetric…MediumNumerical value
8 Apr 2023, Shift 2 · Q1Let $A = \{1, 2, 3, 4, 5, 6, 7\}$ . Then the relation $R = \{(x, y) \in A \times A : x + y = 7\}$ isEasySingle correct