Question 2 :
Let $A =$ {$\phi$ , {$\phi$},$1$, {$1$,$\phi$ },$7$}. Which of the following is true?<br/><br/>
Question 3 :
If A and B are two sets such that $n(A)=17, n(B)=23, n(A \cup B)=38$, find $n(A \cap B)$.
Question 4 :
The number of elements of the set $\left \{ x:x\in Z,x^{2}=1 \right \}$ is :
Question 5 :
State whether the following statement is True or False<br/>If $U=\left\{1,2,3,4,5,6,7\right\}$ and $A=\left\{5,6,7\right\}$, then $U$ is the subset of $A$.
Question 7 :
If $C = \{p|p \in I, p^3 = -8\}$ then the set $C$ is a  
Question 8 :
If $A = \left \{1, 2, 3, 4\right \}$, what is the number of subsets of A with at least three elements?
Question 10 :
Two finite sets have m and n elements. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. Find the values of m and n.
Question 13 :
Classify the following set as 'singleton' or 'empty': $C = \{x | x$ is natural number, $5 < x < 7\}$
Question 14 :
Given $K=\left \{B, A, N, T, I\right \}$. Then the number of subsets of K, that contain both A, N is
Question 16 :
Classify the following set as 'singleton' or 'empty':  $D = \{d | d \in N, d^2 \le 0\}$
Question 17 :
If  $B = \{y | y^2 = 36\}$ then the set $B$ is a ______ set.
Question 18 :
Say true or false.The collection of rich people in your district is an example of a set.
Question 19 :
The method of representation used in the set $A = \{\text{x I x is an even natural number less than 15}\}$ is called
Question 20 :
The set $\displaystyle A=\left\{ x:x\in { x }^{ 2 }=16\quad and\quad 2x=6 \right\} $ equals:
Question 22 :
Which set is the subset of the set containing all the whole numbers?
Question 23 :
State the whether given statement is true or falseIf $A$ is any set, prove that: $A\subseteq \phi \Leftrightarrow A=\phi $.
Question 25 :
Out of 800 boys in a school, 224 played cricket, 240 played hockey and 336 played basketball. Of the total, 64 played both basketball and hockey ; 80 played cricket and basketball and 40 played cricket and hockey 24 player all the three games. The number of boys who did not play any game is
Question 26 :
Find out the truth sets of the following open sentences replacement sets are given against them.<br>$2(x-3)< 1 ; \{1, 2, 3, 4, .......10\}.$
Question 27 :
Suppose $\displaystyle A_{1},A_{2},....,A_{30}$ are thirty sets each having 5 elements and $\displaystyle B_{1},B_{2},....,B_{n}$ are n sets each with 3 elements. Let $\displaystyle \bigcup_{i=1}^{30}A_{i} = \bigcup_{j=1}^{n}B_{j}=S $ and each elements of S belongs to exactly 10 of the $\displaystyle A_{i}$ and exactly 9 of the $\displaystyle B_{j}$. Then n is equal to-
Question 29 :
State whether the following statement is true or false.<br>$\{a\}\in\{a, b, c\}$.<br>
Question 30 :
Which of the following represents singleton set.<br/>$(i)A=\{x:x$ is an even prime number$\}$ <br/>$(ii)y:y$ is a whole number which is not a natural number.<br/>$(iii)x:x\in I, 1<x\le3$
Question 31 :
A set of $n$ numbers has the sum $s$. Each number of the set is increased by $20$, then multiplied by $5$, and then decreased by $20$. The sum of the numbers in the new set thus obtained is:
Question 32 :
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 33 :
State whether the following statement is true or false. Justify your answer.<br>The set of all rectangles is contained in the set of all squares.<br>
Question 34 :
The set of all $x$ for which $1 + \log x < x$ is
Question 35 :
Let $A=\{x:x\in R\  \&\ x^2+1=0\}$ then $A$ is a null set.
Question 37 :
In a survey of 25 students, it was found that 15 had taken mathematics, 12 had taken physics and 11 had taken chemistry, 5 had taken mathematics and chemistry, 9 had taken mathematics and physics, 4 had taken physics and chemistry and 3 had taken all the three subjects.Find the number of students that had taken exactly two of the three subjects.
Question 39 :
If A={a,b,c,d,e}, B={a,c,e,g} and C={b,d,e,g} then which of the following is true?
Question 41 :
Find out the truth sets of the following open sentences replacement sets are given against them.<br/>$x+\dfrac{1}{x}=2; \{0, 1, 2, 3\}$
Question 43 :
If $A$ and $B$ are any two non-empty sets, then prove that $(A\cap B)'=$ 
Question 44 :
Choose the correct answer from the given four options<br>If A = {x | x is a positive multiple of 3 less than 20} and B = {x | x is a prime number less than 20}, then n(A) + n(B) is
Question 45 :
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 47 :
If $X=\left\{ { 4 }^{ n }-3n-1;n\in R \right\} $ and $Y=\left\{ 9\left( n-1 \right) ;n\in N \right\} $, then $X\cap Y=$
Question 48 :
Suppose $A_1 , A_2,... A_{30}$ are thirty sets each having 5 elements and $B_1, B_2,..., B_n$ are n sets each with 3 elements , let $\underset{i = 1}{\overset{30}{\cup}} A_i = \underset{j = 1}{\overset{n}{\cup}} B_j = S$ and each element of S belongs to exactly 10 of the $A_i's$ and exactly 9 of the $B_j'S$. then n is equal to
Question 49 :
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?
