JEE Main 2024 · MathsMultiple choiceSingle correctMediumConceptual

JEE Main 29 January 2024, Shift 1, Maths Q2

Question 2 of 90 in this shift, Maths question 2 of 30, Section A.

Let 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 is

(1)Reflexive and transitive but not symmetric
(2)Reflexive and symmetric but not transitiveOfficial answer
(3)Reflexive, symmetric and transitive
(4)Reflexive but neither symmetric nor transitive

Official answer

Option 2

NTA final key.

Chapter: Relations and Functions
Topic: Sets and Relations
Idea tested: Relation Types

Same idea in other shifts

Asked 5× in all

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
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

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.