Let R be a relation "(x -y) is divisible by m", where x, y, m are integers and m > 1, then R is
A. | symmetric but not transitive |
B. | partial order |
C. | equivalence relation |
D. | anti symmetric and not transitive |
Option: C Explanation : Click on Discuss to view users comments. |
If f : A ---> B is a bijective function, then f -1 of f =
A. | f o f^{ -1} |
B. | f |
C. | f ^{-1} |
D. | I_{A}(Identity map of the set A) |
Option: D Explanation : Click on Discuss to view users comments. |
The set of all real numbers under the usual multiplication operation is not a group since
A. | multiplication is not a binary operation |
B. | multiplication is not associative |
C. | identity element does not exist |
D. | zero has no inverse |
Option: D Explanation : Click on Discuss to view users comments. |