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Question

Quantitative Aptitude Question on Relations

If A = {a, b, c) and R={(a,a), (a,b), (b,c), (b,b), (c,c), (c,a)} is a binary relation on A then which one of the following is correct?

A

R is reflexive and symmetric but not transitive

B

R is reflexive and transitive but not symmetric

C

R is reflexive but neither symmetric nor transitive

D

R is reflexive,symmetric and transitive

Answer

R is reflexive but neither symmetric nor transitive

Explanation

Solution

The correct option is(C): R is reflexive but neither symmetric nor transitive