JEE Main 2026 · MathsNumerical answerNumerical valueMediumCalculation

JEE Main 5 April 2026, Shift 2, Maths Q21

Question 21 of 75 in this shift, Maths question 21 of 25, Section B.

Let

A=\{1, 4, 7\}

and

B=\{2, 3, 8\}

. Then the number of elements, in the relation

R=\{((a_1, b_1), (a_2, b_2)) \in ((A\times B)\times(A\times B)) : a_1+b_2 \text{ divides } a_2+b_1\}

is __________.

Official answer

NTA final key.

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

Same topic in other shifts

All Sets and Relations questions

6 Apr 2026, Shift 2 · Q21Let $R=\{(x,y)\in\mathbf{N}\times\mathbf{N}:\log_e(x+y)\le2\}$ . Then the minimum number of elements, required to be added in R to make it…HardNumerical value
8 Apr 2026, Shift 2 · Q1Consider the relation R on the set $\{-2, -1, 0, 1, 2\}$ defined by $(a, b) \in R$ if and only if $1 + ab > 0$ . Then, among the statements…MediumOther
2 Apr 2025, Shift 1 · Q12Let A be the set of all functions $f:\mathbf{Z}\to\mathbf{Z}$ and R be a relation on A such that…EasySingle correct
3 Apr 2025, Shift 1 · Q1Let $A = \{-3, -2, -1, 0, 1, 2, 3\}$ . Let R be a relation on A defined by $x\mathrm{R}y$ if and only if $0 \le x^2 + 2y \le 4$ . Let $l$ be…MediumSingle correct
3 Apr 2025, Shift 2 · Q1Let $A = \{-2, -1, 0, 1, 2, 3\}$ . Let R be a relation on $A$ defined by $xRy$ if and only if $y = \max\{x, 1\}$ . Let $l$ be the number of…MediumSingle correct
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

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.