JEE Main 2024MathematicsSets And RelationsSymmetric Transitive And Reflexive PropertiesmediumMCQ

JEE Main 2024 — Sets And Relations Question with Solution

From: JEE Main 2024 (Online) 8th April Evening Shift

Question

Let and . Let be a relation on defined by if and only if is an even integer. Then the relation is

Choose an option

Show full solutionCorrect option: C
Correct answer
Creflexive and symmetric but not transitive.

Step-by-step explanation

even

For reflexive

even

For symmetric

JEE Main 2024 (Online) 8th April Evening Shift Mathematics - Sets and Relations Question 25 English Explanation

then

even

Now check for transitive

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About this question

This is a previous-year question from JEE Main 2024, covering the Sets And Relations chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.