Question

The relation R defined in N as $a R b \Leftrightarrow b$ is divisible by a is

• A. Reflexive but not symmetric
• B. Symmetric but not transitive
• C. Symmetric and transitive
• D. None of these

Answer 1

Answer: (A)

Reflexive but not symmetric

Answer 2

For any $a \in N$, we find that a|a, therefore R is reflexive but R is not transitive, because $a R b$ does not imply that $b R a$.