JEE Main 2025MathematicsSets and RelationsMediumMCQ

JEE Main 2025Sets and Relations Question with Solution

JEE Main 2025 (8 Apr Shift 2)

Question

Let . Let be a relation on A defined by if and only if max . Then among the statements : The number of elements in R is 18 , and : The relation R is symmetric but neither reflexive nor transitive

Choose an option

Show full solutionCorrect option: C
Correct answer
Conly is true

Step-by-step explanation


,
,

Total 16 elements
Not reflexive as
Symmetric all a,b

Not transitive
but
Only correct

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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.