Q. 12 Let R be the relation on the set of positive integers such that a 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: (D)
Explanation:
