JEE Main 2024 · MathsNumerical answerNumerical valueMediumCalculation

JEE Main 31 January 2024, Shift 2, Maths Q21

Question 21 of 90 in this shift, Maths question 21 of 30, Section B.

Let

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 relation on

A

such that

R\subset R_1

and the number of elements in

R_1

is n. Then, the minimum value of n is ____________.

Official answer

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
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
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.