If $(x+1, y-2) = (3, 1)$,find the values of $x$ and $y$.

Let $A$ and $B$ be two sets such that $n(A)=3$ and $n(B)=2$. If $(x, 1), (y, 2), (z, 1)$ are in $A \times B$,find $A$ and $B$,where $x, y$ and $z$ are distinct elements.

If two sets $A$ and $B$ have $99$ elements in common,then the number of elements common to each of the sets $A \times B$ and $B \times A$ is

If $A, B$ and $C$ are any three sets,then $A \times (B \cup C)$ is equal to

If $A = \{2, 3, 5\}$ and $B = \{2, 5, 6\}$,then find $(A - B) \times (A \cap B)$.

If $R$ is the set of all real numbers,what do the Cartesian products $R \times R$ and $R \times R \times R$ represent?