Question

If n | m means than n is a factor of m, the relation | is:

• A. reflexive and symmetric
• B. transitive and symmetric
• C. reflexive, transitive and symmetric
• D. reflexive, transitive and not symmetric

Answer 1

The correct option is D reflexive, transitive and not symmetric

Since, $n$ is a factor of $m$. Now, if $n$ is a factor of $m$, but $m$ is not necessarily a factor of $n$. so the relation is NOT symmetric. On the other hand, if $n$ is a factor of $m$ and $m$ is a factor of $l$ then automatically, $n$ will also be a factor of $l$. so the relation is TRANSITIVE