Let R be the relation on N (set of Natural numbers) defined by R= {(a, b): a, b ∈ N and b is divisible by a}. Then the relation R is

Reflexive, Transitive but not symmetric.

for every $n ∈ N$

$(n,n)∈R$ (as n is always divisible by itself) ⇒ Reflexive

eg: $(2, 4)∈R$ as 4 is divisible by 2

but $(4,2)∉R$ as 2 is not divisible by 4 ⇒ Not symmetric

for $(a,b)∈R,(b,c)∈R$

as c is divisible by b and b is further divisible by a

⇒ c is divisible by a

$(a,c)∈R$ ⇒ Transitive