A) Reflexive and symmetric
B) Transitive and symmetric
C) Reflexive, transitive and symmetric
D) Reflexive, transitive and not symmetric
Correct Answer: D
Solution :
?I? is reflexive since every natural number is a factor of itself, that is n/n for n e N. 'I' is transitive since if n is a factor of m and m is a factor of p, then n is surely a factor of p. thus 'n/n' and \['m/p'\to 'n/p.\] However T is not symmetric since, for example, 2 is factor of 4 but 4 is not a factor of 2.
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