Question 1 :
Which set is the subset of the set containing all the whole numbers?

Question 2 :
set of rational numbers is&#160;<br/>$\displaystyle \left \{ -6,-5\frac{3}{4}, -\sqrt{4}, -\frac{3}{5}, -\frac{3}{8}, 0, \frac{4}{5}, 1, 1\frac{2}{3}, 3.01, 8.47 &#160;\right \}$<br/><br/>

Question 4 :
State whether the following statement is true or false.<br>The set $\{x : x+8=8\}$ is the null set.<br>

Question 6 :
Say true or false.The collection of rich people in your district is an example of a set.

Question 7 :
Given $K=\left \{B, A, N, T, I\right \}$. Then the number of subsets of K, that contain both A, N is

Question 8 :
State whether the following statements are true(T) or false(F).Justify your answer.<br>A group of boys playing cricket is a set.

Question 9 :
If &#160;$B = \{y | y^2 = 36\}$ then the set $B$ is a ______ set.

Question 10 :
The method of representation used in the set $A = \{\text{x I x is an even natural number less than 15}\}$ is called

Question 11 :
If $X=\left \{ a,\left \{ b,c \right \},d \right \}$, which of the following is a subset of $X$?

Question 13 :
If A= {1, 2, 5} and B= {3, 4, 5, 9}, then $A \bigcup B$ is equal to :

Question 14 :
Two finite sets have $m$ and $n$ elements. The total number of subsets of first set $56$ more than the total number of subsets of second set. Find the values of $m$ and $n.$

Question 15 :
Which of the following regarding null sets are correct.<br>$(i)$ Empty set is considered as subset of all sets.<br>$(ii)$ Union of an empty set $\phi$ with a set $X$ is an empty set.<br>$(iii)$ Intersection of an empty set with a set $X$ is X.

Question 16 :
If $S$ is a set with $10$ elements and $A = \left \{(x, y) : x, y\epsilon S, x\neq y\right \}$, then number of elements in $A$ is

Question 17 :
State whether the following statement is True or False.The given Set is An Empty Set :<br/>D = {prime numbers between 7 and 11}.

Question 19 :
If $X = \left \{1, 2, 3, ..., 10\right \}$ and $A = \left \{1, 2, 3, 4, 5\right \}$. Then, the number of subsets $B$ of $X$ such that $A - B = \left \{4\right \}$ is

Question 20 :
The number of subsets of the set $\left \{ 10,11,12 \right \}$ is

Question 21 :
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 22 :
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 23 :
Consider the non-empty set consisting of children in a family and a relation $R$ defined as a $Rb$ if $a$ is brother of $b$. Then $R$ is

Question 24 :
Set of all real value of a such that $f(x) = \frac {(2a - 1)x^2(a + 1)x + (2a - 1)}{x^2 2x + 40}$ always negative is