Relations Test ...

Let A={ 1, 2, 3, 4} and R= {( 2, 2), (3, 3), (4, 4), (1, 2)} be a relation on A. Then R is

Given the relation R= {(1,2), (2,3) } on the set {1, 2, 3}, the minimum number of ordered pairs which when added to R make it an equivalence relation is 

If $$A=\left\{2,4\right\}$$ and $$B=\left\{3,4,5\right\},$$ then
$$\left( A\cap B \right) \times \left( A\cup B \right)$$ is

Let $$A=\left\{1,2,3,4,5\right\}, B=\left\{2,3,6,7\right\}.$$ Then the number of elements in $$\left( A\times B \right) \cap \left( B\times A \right)$$ is

Let R be a relation from a set A to a set B then 

The union of two equivalence relations is: 

If $$n(A) = 2, n(B) = m$$ and the number of relation from $$A$$ to $$B$$ is $$64$$, then the value of $$m$$ is

If $$A$$ and $$B$$ are two sets containing four and two elements, respectively. Then the number of subsets of the set $$A\times B$$ each having at least three elements is

Let $$R$$ be a relation such that $$R = \{(1,4), (3, 7), (4, 5), (4, 6), (7, 6) \}$$ then $$(R^{-1} oR)^{-1} =$$

If $$A$$ and $$B$$ are two sets, then $$A \times B  = B \times A$$ if