Question 2 :
Which one of the following is an example of non-empty set?

Question 4 :
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 7 :
Let $A$ $=$ set of all cuboids and B $=$ set of all cubes. Which of the following is true?

Question 8 :
The set of all those elements of A and B which are common to both is called

Question 9 :
Let $A =$ {$\phi$ , {$\phi$},$1$, {$1$,$\phi$ },$7$}. Which of the following is true?<br/><br/>

Question 10 :
How many elements does following set contain?<br/>$F = \{y | y$ is a point of intersection of two parallel lines$\}$

Question 11 :
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 12 :
State whether the following statements are true(T) or false(F):<br>A collection of books is a set.

Question 13 :
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 14 :
Find sets $A,B$ and $C$ such that $A\cap B,B\cap C$ and $C\cap A$ are non-empty sets and $A\cap B\cap C=\phi.$

Question 15 :
Say true or false:&#160;The sets $A = \{b, c, d, e \}$ and $B = \{x : x$ $\text {is a letter in the word &#34;master&#34;} \}$ are joint.

Question 16 :
Find the set of all solutions of the equation $2^{\left | y \right |}-\left | 2^{y-1}-1 \right |=2^{y-1}+1$, the solution includes<br>

Question 17 :
State true or false for each of the following. Correct the wrong statement.<br>If $B =\{1, 5, 51, 15, 5, 1\}$, then $n (B) = 6$<br>

Question 18 :
If A={$x\in N$ : xis a multiple of 3} and<br>B={$x\in N$ : is a multiple of 6}, then A-B is equal to

Question 20 :
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 21 :
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 22 :
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 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

Question 25 :
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