JEE Main 2025MathematicsSets And RelationsSymmetric Transitive And Reflexive PropertiesmediumNumerical

JEE Main 2025Sets And Relations Question with Solution

From: JEE Main 2025 (Online) 22nd January Evening Shift

Question

Let . The number of relations on , containing and , which are reflexive and transitive but not symmetric, is _________.

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Correct answer
See solution below.

Step-by-step explanation

Transitivity

For reflexive

Now

cannot be taken

(1) taken and not taken

(2) taken and not taken

(3) Both not taken

therefore 3 relations are possible.

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About this question

This is a previous-year question from JEE Main 2025, 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.