Empty Relations

Q.

The set of intelligent students in a class is:

1. A null set

2. A singleton set

3. A finite set

4. Not a well defined collection

Q.

Find the number of empty relation we can define on a non empty set A

___

Q.

what is the defination of sets?

Q. A void relation in a set $A$ is

1. reflexive
2. reflexive and transitive
3. symmetric and transitive
4. reflexive and symmetric

Q.

Which of the following is an empty relation on AxB where A= {0, 2, 5}, B = {1, 4, 7}

1. "Is greater than"

2. "Is less than"

3. "Is a square root of"

4. "Is equal to"

Q.

Which of the following pair of sets are equal sets?

$M=\left\{r,e,d\right\}$

$N=\left\{d,a,r\right\}$

Q.

Empty relation on set A and empty set has the same number of elements

1. False

2. True

Q.

Empty relation on a set A is the subset of Cartesian product $A\times A$

1. True

2. False

Q.

Write true of false for following statement.

The set $\{1,2,5\}\&\{2,1,5\}$ are same.

1. True
2. False