Question

$n/m$ means that $n$ is factor of $m$, then the relation '$f$' is.

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

Answer 1

Answer: (D)

Reflexive,transitive and not symmetric.

${}^{\prime }{/}^{\prime }$ is reflexive since every natural number is a factor of itself that in $n/n$ for $n\in N$.

${}^{\prime }{/}^{\prime }$ is transitive if n is a factor of m and m is a factor of $P$, then $n$ is surely a factor of $P$.

However, ${}^{\prime }{/}^{\prime }$ is not symmetric.

example, $2$ is a factor of $4$ but $4$ is not a factor of $2$.