n/m means that n is factor of m, then the relation f is
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a
reflexive and symmetric
b
transitive and symmetric
c
reflexive, transitive and symmetric
d
reflexive, transitive and not symmetric
answer is D.
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Detailed Solution
n/m means that n is a factor of m. So, f is reflexive. A number is a factor of itself. Now, if n is a factor of m, then m is not a factor of n ∴f is not symmetric. Let n is a factor of m and m is a factor of s, then it is true that n is a factor of s. ∴f is transitive.