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JEE Main 2025 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 3 April 2025, Shift 2, Maths Q1

Question 1 of 75 in this shift, Maths question 1 of 25, Section A.

Let

A = \{-2, -1, 0, 1, 2, 3\}

. Let R be a relation on

A

defined by

xRy

if and only if

y = \max\{x, 1\}

. Let

l

be the number of elements in R. Let

m

and

n

be the minimum number of elements required to be added in R to make it reflexive and symmetric relations, respectively. Then

l + m + n

is equal to

(1)11
(2)12Official answer
(3)13
(4)14

Official answer

Option 2

NTA final key.

Chapter: Relations and Functions
Topic: Sets and Relations
Idea tested: Counting Reflexive and Symmetric Relations

Same idea in other shifts

Asked 2× in all

13 Apr 2023, Shift 2 · Q21Let $A=\{-4,-3,-2,0,1,3,4\}$ and $R=\{(a,b)\in A\times A: b=|a| \text{ or } b^2=a+1\}$ be a relation on A. Then the minimum number of…MediumNumerical value

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.