Mathematics

Problem

On the set of positive integers

\mathbb{N}

, a relation

R

is defined by

aRb\iff

there exists

k\in\mathbb{N}

such that

b=k\,a

. Which properties does

R

satisfy? a) Reflexive and symmetric only b) Reflexive, symmetric and transitive c) Reflexive and transitive only d) Symmetric and transitive only