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Answer : D (Reflexive)

Given Set $A$ of All Positive integers. And A Relation $R$ defined as "$xRy$  $iff$  $x \leq 3y$"

Clearly, It is Reflexive as $a \leq 3a$, $\forall a \in A$. So, $(a,a) \in R$, $\forall a \in A$

It is Not symmetric. Counter Example : $(2,7) \in R$ But $(7,2) \notin R$

It is Not Transitive. Counter Example : $(6,2), (2,1) \in R$ But $(6,1) \notin R$

It is Not Anti-symmetric. Counter Example : $(2,3) \in R$ And $(3,2) \in R$

 

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