The relation R defined in N as aRb b is divisible by a is - Vidyadip

MCQ

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

✓
Reflexive but not symmetric
B
Symmetric but not transitive
C
Symmetric and transitive
D
None of these

✓

Answer

Correct option: A.

Reflexive but not symmetric

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

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