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