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Relation on {2,3,4,5}: Reflexive and Symmetric | JEE

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Question
Let A={2,3,4,5}A = \{2, 3, 4, 5\} and R={(2,2),(3,3),(4,4),(5,5),(2,3),(3,2),(3,5),(5,3)}R = \{(2, 2), (3, 3), (4, 4), (5, 5), (2, 3), (3, 2), (3, 5), (5, 3)\} be a relation in AA. Then RR is:
AReflexive and transitive
BReflexive and symmetriccorrect
CReflexive and anti-symmetric
DEquivalence
Solution
(2,2),(3,3),(4,4),(5,5)∈R⇒R(2, 2), (3, 3), (4, 4), (5, 5) \in R \Rightarrow R is reflexive. Each off-diagonal pair has its reverse, (2,3)/(3,2)(2, 3)/(3, 2) and (3,5)/(5,3)⇒R(3, 5)/(5, 3) \Rightarrow R is symmetric. (2,3),(3,5)∈R(2, 3), (3, 5) \in R but (2,5)∉R⇒R(2, 5) \notin R \Rightarrow R is not transitive. ∴R\therefore R is reflexive and symmetric. Correct answer: (2)
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