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Relation on {3,6,9,12}: Reflexive and Transitive Only | JEE

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Question
Let R={(3,3),(6,6),(9,9),(12,12),(6,12),(3,9),(3,12),(3,6)}R = \{(3, 3), (6, 6), (9, 9), (12, 12), (6, 12), (3, 9), (3, 12), (3, 6)\} be a relation on the set A={3,6,9,12}A = \{3, 6, 9, 12\}. The relation is:
AAn equivalence relation
BReflexive and symmetric only
CReflexive and transitive onlycorrect
DReflexive only
Solution
(3,3),(6,6),(9,9),(12,12)∈R⇒R(3, 3), (6, 6), (9, 9), (12, 12) \in R \Rightarrow R is reflexive. (6,12)∈R(6, 12) \in R but (12,6)∉R⇒R(12, 6) \notin R \Rightarrow R is not symmetric. Every chain closes, e.g. (3,6),(6,12)⇒(3,12)∈R⇒R(3, 6), (6, 12) \Rightarrow (3, 12) \in R \Rightarrow R is transitive. ∴R\therefore R is reflexive and transitive only. Correct answer: (3)
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