Question

Let $R$ be a relation on the set $N$ of all natural numbers, defined by $aRb\iff a$ is a factor of $b$. Then what is the nature of $R$?

• A. Transitive
• B. symmetric
• C. Equivalence
• D. None of these

Answer 1

The correct option is A Transitive

$aRa\Rightarrow$a is a factor of itself which is true. $Reflexive$

$aRb$ and $bRc\Rightarrow$a is a factor of c too. $Transitive$

$aRb$ does not imply b is a factor of a. Not symmetric