The relation "divides" on a set of positive integers is ..................
A. Symmetric and transitive
B. Anti symmetric and transitive
C. Symmetric only
D. Transitive only
Answer:B
The relation "divides" on a set of positive integers is ..................
A. Symmetric and transitive B. Anti symmetric and transitive C. Symmetric only D. Transitive only
Explanation: The ‘divide’ operation is antisymmetric because if a divides b does not necessarily implies that b divides a. If a divides b and b divides c then a divides c. So, it is transitive as well.