If n|m means that n is a factor of m , the relation | is

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reflexive and symmetric

transitive and symmetric

reflexive, transitive and symmetric

reflexive, transitive and not symmetric

answer is D.

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Detailed Solution

Since, n is a factor of n, hence the relation is reflexive .Now, if, n is a factor of m, but m is not necessarily a factor of n, so the relation is NOT SYMMETRIC. On the other hand, if n is a factor of m and m is a factor of ℓ then automatically, n will also be a factor of ℓ , so the relation is TRANSITIVE.

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