Question 2 :
Is the set $H = \{t | t$ is a triangle having four sides$\}$ empty?
Question 3 :
State whether the following statement is true or false.<br>$\{a, b\}=\{a, a, b, b, a\}$.<br>
Question 4 :
Let $N$ be the set of natural numbers and $P$ be the set of prime integers in $N$. If $A=\begin{Bmatrix}n/n\in N,\;n\;is\;a\;multiple\;of\;some\;prime\;p\in P\end{Bmatrix}$, then $N-A=\begin{Bmatrix}n\;\in\;N/n\notin A\end{Bmatrix}$ is
Question 5 :
The set of two digit numbers greater than 98 is a
Question 6 :
How many elements does following set contain?<br/><div>$F = \{y | y$ is a point of intersection of two parallel lines$\}$</div>
Question 7 :
Find <span>the set of values of x for which it satisfies </span>$- 2 \le \left[ x \right] \le 4.$ (where $\left[ \ \ \right]$ denotes the greatest integer function )
Question 8 :
Given $P(A \cup B)=0.6, P(A\cap B)=0.2$, the probability of exactly one of the event occurs is
Question 9 :
<span>Say true or false.</span><div>The collection of rich people in your district is an example of a set.</div>
Question 11 :
<div>Find out the number of elements in the following set:</div>$A= \{ x| x \epsilon N, 2 < x <4 \}$.
Question 12 :
<span> If X and Y are two sets such that $n(X)=17, n(Y)=23$ and $n(X \cup Y)=38$, find $n(X \cap Y)$.</span><br/>
Question 13 :
Let $\displaystyle A= \left \{ 7,8,9,a,b,c \right \} $ and $\displaystyle B= \left \{ 1,2,3,4 \right \} $ then number of universal relation from the set $A$ to set $B$ and set $B$ to set $A$ are<br/>
Question 16 :
Two finite sets have $m$ and $n$ elements. The number of elements in the power set of the first set is $48$ more than the total number of elements in the power set of the second set then, the values of $m$ and $n$ are :
Question 18 :
In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.<br>If $x A$ and $A B$, then $x B$<br>
Question 19 :
If n is a member of both set A$=\left\{\displaystyle\frac{4}{7}, 1, \frac{5}{2}, 4, \frac{1}{2}, 7\right\}$ and set B$=\left\{\displaystyle\frac{4}{7}, \frac{7}{4}, 4, 7\right\}$, which of the following must be true?<br>I. n is an integer.<br>II. $4n$ is an integer.<br>III. $n=4$
Question 20 :
If two sets $A$ and $B$ are having $99$ elements in common, then the number of ordered pairs common to each of the sets $AxB$ and $BxA$ are