JEE Main 2023 — Sets And Relations Question with Solution
From: JEE Main 2023 (Online) 24th January Morning Shift
Question
The relation is :
Choose an option
Show full solutionCorrect option: D
Correct answer
Dneither symmetric nor transitive
Step-by-step explanation
Given,
(a, b) belongs to relation R if .
Here means greatest common divisor. of two numbers is the largest number that divides both of them.
(1) For Reflexive,
In
This relation is not reflexive.
(2) For Symmetric:Take Also
Now
and 2b should not be equal to a
But here,
is not Symmetric
(3) For Transitive:
Let
Hence not transitive
is neither symmetric nor transitive.
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This is a previous-year question from JEE Main 2023, 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.