Question

Let$R = \{ ( 3,3 ) , ( 6,6 ) , ( 9,9 ) , ( 12,12 ) , ( 6,12 ) , ( 3,9 ) , ( 3,12 ) , ( 3,6 ) \}$ be a relation on the set $A = \{ 3,6,9,12 \}$. The relation is

• A. An equivalence relation
• B. Reflexive and symmetric only
• C. Reflexive and transitive only
• D. Reflexive only

Answer 1

Answer: (C)

Reflexive and transitive only

Answer 2

Here (3, 3), (6, 6), (9, 9), (12, 12), [Reflexive];

(3, 6), (6, 12), (3, 12), [Transitive].

Hence, reflexive and transitive only.