Question 2 :
If $A=\left\{ 2,4\left\{ 5,6 \right\} ,8 \right\} $, then which one of the following statements is not correct?

Question 3 :
M represents the children in a class who have no brothers and 8 represents the children who have no sisters. $+$ denotes union, $*$ denotes intersection, and $(^\prime)$ denotes complement. The set of children who have no siblings is

Question 4 :
Classify the following set as 'singleton' or 'empty': $C = \{x | x$ is natural number, $5 < x < 7\}$

Question 6 :
If $A$ and $B$ are any two non-empty sets, then prove that $(A\cap B)'=$ 

Question 7 :
&#160;If X and Y are two sets such that $n(X)=17, n(Y)=23$ and $n(X \cup Y)=38$, find $n(X \cap Y)$.<br/>

Question 8 :
If $X=\left \{ a,\left \{ b,c \right \},d \right \}$, which of the following is a subset of $X$?

Question 9 :
State true or false:A set of rational number is a subset of a set of real numbers.<br/>

Question 11 :
Suman is given an aptitude test containing 80 problems, each carrying I mark to be tackled in 60 minutes. The problems are of 2 types; the easy ones and the difficult ones. Suman can solve the easy problems in half a minute each and the difficult ones in 2 minutes each. (The two type of problems alternate in the test). Before solving a problem, Suman must spend one-fourth of a minute for reading it. What is the maximum score that Suman can get if he solves all the problems that he attempts?

Question 12 :
Let A and B be 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............

Question 13 :
If $X=\left\{ { 4 }^{ n }-3n-1;n\in R \right\} $ and $Y=\left\{ 9\left( n-1 \right) ;n\in N \right\} $, then $X\cap Y=$