Let R be a relation on the set of natural numbers N defined by nRm if n divides m. Then R is :

(A) Reflexive Relation

(B) Symmetric Relation

(C) Transitive Relation

(D) Identity Relation

Choose the correct answer from the options given below :

(A) and (C) Only

The correct answer is option (1) → (A) and (C) Only

R is reflexive 

as for every x ∈ real no.

$\frac{x}{x}=1$ (divisible) so $(x,x)∈R$

R is not symmetric

eq: $(1,2)∈R$ but $(2,1)∉R$

R is transitive

as $(x,y)∈R,(y,z)∈R$

⇒ z divisible by y, y divisible by x

⇒ z divisible by x

so $(x,z)∈R$

only A, C correct