MTH202 Quiz 1 by Iqra Azhar

In the matrix representation of an irreflexive relation all the entries in the main diagonal are .... zero.

Let R = { (1,1), (2,2), (3,3), (1,3) } be the relation on set A={1,2,3} then _____.

R is reflexive and transitive R is not reflexive and not transitive R is not reflexive and transitive R is reflexive and not transitive Therefore, the correct option is : "R is not reflexive and transitive."

Let A = {1,2,3,…,50}and B = {2,4,6,8,10}.Then the Cartesian product of A and B has _______elements. 250 elements.

The union of the transitive binary relations R = {(1,2), (1,3), (2,2), (3,3), (4,2), (4,3)} and S = {(2,1), (2,4), (3,3)} on the set A = {1,2,3,4} is given by R ∪ S = {(1,2), (1,3), (2,1), (2,2), (2,4), (3,3), (4,2), (4,3)}then R ∪ S is_____?

not transitive transitive correct option is not transitive.

In the directed graph of an antisymmetric relation there is ......pair of arrows between two distinct elements of the set. one

25 ≡ 1(mod 3) means that 3 divides …….. 25−1

Let A = {0, 1, 2} and R = {(0,2), (1,1), (2,0)} be a relation on A. Then which of the following ordered pairs are needed to make it transitive?

(0,0)

Let A = {2, 3, 4} and B = {2,6,8}and let R be the “divides” relation from A to Bi.e. for all (a,b) belong to (Cartesian product of A and B),a R b iff a | b (a divides b).Then R={(2,2),(2,6),(2,8),(3,6),(4,2),(4,6),(4,8)}

Define a relation R = { (1,1), (2,2), (3,3), (1,3), (3,2) } then relation is_____. not reflexive and not symmetric, but it is transitive.

For any set A, the Cartesian product of A and A is known as _ universal relation empty relation universal relation.

Let A = {1,2,3} and B = {0,1,2} and C = {a,b}R = {(1,0),(1,2),(3,1),(3,2)}S = {(0,b),(1,a),(2,b)}Composite of R and S = ____________ . R∘S={(1,b),(1,b),(3,a),(3,b)}

Let R be a relation on a set A. If R is symmetric then its compliment is

So, the complement of a symmetric relation is an asymmetric relation.

For (2x-3, 4y+2)=(1,10), what will be the value of x and y?

x=2 y=2.

Consider the relations R = {(1,3), (1,4), (2,3), (2,4), (3,1), (3,4)} on the set A={1,2,3,4} then R is ________.

reflexive both reflexive and irreflexive

None of the above