JEE Main 2024 — Sets And Relations Question with Solution
From: JEE Main 2024 (Online) 29th January Morning Shift
Question
Let be a relation on defined by if and only if is divisible by 5. Then is
Choose an option
Show full solutionCorrect option: B
Correct answer
BReflexive and symmetric but not transitive
Step-by-step explanation
as
Therefore reflexive
Let is divisible by 5
is divisible by
Therefore symmetric
Relation not transitive as and but is not related to
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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.