Maths-
General
Easy
Question
Let
be a relation on the set
of natural numbers defined by
is a factor of
Then,
is
- Reflexive and symmetric
- Transitive and symmetric
- Equivalence
- Reflexive, transitive but not symmetric
The correct answer is: Reflexive, transitive but not symmetric
Since
for all
Therefore,
is reflexive. Since
but
therefore
is not symmetric
Let
and 
and 
and 
So,
is transitive
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