Set Theory Test...

Let  $Q$  be a non empty subset of  $N$  and  $q$  is a statement as given below :
$q:$  There exists an even number  $a \in Q$  Negation of the statement  $q$  will be :

Let $A$ and $B$ be two sets. $A \cap B = \{1, 2\}, A \cup B = \{1, 2, 3, 4, 5\}$ and if $n_1$ is the maximum number of function from $A$ to $B$ and $n_2$ is the minimum number of function form $A$ to $B$ then $n_1 - n_2$ equals

In a battle $70$% of the combatants lost one eye, $80$% an ear, $75$% an arm, $85$% a leg, $x$% lost all the four limbs the minimum value of $x$ is

The value of set $(A\cup B\cup C)\cap(A\cap B^1\cap C^1)^1\cap C^1$ is equal to  

Two sets A and B are defined as follows
$A=\left\{ \left( x,y \right) :y={ e }^{ 2x },x\in R \right\}$ and 
$B=\left\{ \left( x,y \right) :y={ x }^{ 2 },x\in R \right\}$, then

If $A=\left\{1,2,3,4\right\}; B=\left\{2,4,6,8\right\}; C=\left\{3,4,5,8\right\}$ then $A\cap B\cap C=$

If n(A)=3, n(B)=4, then $n(A\times B\times C)=36 find \,n(C)$ is equal to :

In a group of 800 people, 550 can speak Hindi and 450 can speak English. How many can speak both Hindi and English ?

If A= {1, 2, 5} and B= {3, 4, 5, 9}, then $A \bigcup B$ is equal to :

If P(S) denotes the set of all subsets of a given set S, then the number of one to one function from the set s={1,2,3} to the set of P(S) is