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JEE Main 2023 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 11 April 2023, Shift 2, Maths Q1

Question 1 of 90 in this shift, Maths question 1 of 30, Section A.

Let

A = \{1, 3, 4, 6, 9\}

and

B = \{2, 4, 5, 8, 10\}

. Let

R

be a relation defined on

A \times B

such that

R = \{((a_1, b_1), (a_2, b_2)) : a_1 \le b_2

and

b_1 \le a_2\}

. Then the number of elements in the set

R

is

(1) $26$
(2) $52$
(3) $160$ Official answer
(4) $180$

Official answer

Option 3

NTA final key.

Chapter: Relations and Functions
Topic: Sets and Relations
Idea tested: Cartesian Products

Same idea in other shifts

Asked 2× in all

10 Apr 2023, Shift 2 · Q1Let $A = \{2, 3, 4\}$ and $B = \{8, 9, 12\}$ . Then the number of elements in the relation…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 108 of the 174 JEE Main shifts held from 2017 to 2026.