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GATE | GATE-CS-2015 (Set 2) | Question 26

Let R be the relation on the set of positive integers such that aRb if and only if a and b are distinct and have a common divisor other than 1. Which one of the following statements about R is True?

(A)

R is symmetric and reflexive but not transitive

(B)

R is reflexive but not symmetric and not transitive

(C)

R is transitive but not reflexive and not symmetric

(D)

R is symmetric but not reflexive and not transitive

Answer

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