Question 1 :
If $P(A) = 0.8 , P(B) = 0.5 $ & $P(B/A) =0.4 $ find (i) $P(A \cap B) $ (ii) $P(A/B)$ (iii) $P(A\cup B)$.
Question 2 :
Let $A_1, A_2$ and $A_3$ be subsets of a set $X$. Which one of the following is correct?
Question 3 :
Let $U=\left\{ 1,2,3,4,5,6,7,8,9,10 \right\}$, $A=\left\{ 1,2,5 \right\}$, $B=\left\{ 6,7 \right\}$ then $A\cap B'$ is
Question 4 :
If $X$ and $Y$ are any two non empty sets then what is $\displaystyle \left ( X-Y \right )'$ equal to?
Question 5 :
If $\displaystyle \xi =\left \{ 2,3,4,5,6,7,8,9,10,11 \right \}$<br/>$\displaystyle A =\left \{ 3,5,7,9,11 \right \}$<br/>$\displaystyle B =\left \{ 7,8,9,10,11 \right \}$, then find $(A - B)'$<br/>
Question 6 :
If $S$ and $T$ are two sets such that $S$ has $21$ elements, $T$ has $32$ elements and $\displaystyle S\cap T$ has $11$ elements, then<br/>find the number of elements in $\displaystyle S\cup  T$.
Question 7 :
In an examination $70\%$ students passed both in Mathematics and Physics $85\%$ passed in Mathematics and $80\%$ passed in Physics If $30$ students have failed in both the subjects then the total number of students who appeared in the examination is equal to : 
Question 8 :
If $A=\left\{2, 4, 6, 8, 10\right\}, B=\left\{1, 3, 5, 7, 9\right\}$, then $A-B$ =____________
Question 10 :
Let A and B be two non empty subsets of a set X If $\displaystyle \left (  A-B\right )\cup \left ( B-A \right )=A\cup B $, then which one of the following is correct?
Question 11 :
If $A$ and $B$ are two disjoint  sets, then $\displaystyle (A\cup B')'\cap (A'\cup B)'$ is<br/>
Question 12 :
If $A = \{ 2,3,4,5,7 \} , B = \{ 7,8,9 \}$, then find $n ( A \cup B ).$
Question 13 :
<span>If U = {1, 3, 5, 7, 9, 11, 13}, then which of the following are subsets of U. <br/></span>B = {2, 4} <br/>A = {0}<br/>C = {1, 9, 5, 13}<br/><span>D = {5, 11, 1} </span><br/><span>E = {13, 7, 9, 11, 5, 3, 1} </span><br/><span>F = {2, 3, 4, 5} </span><br/>
Question 14 :
$\displaystyle A-\left [ B\cup C\cup D \right ]=\left ( A-B \right )\cap .......\cap .....$
Question 15 :
Let $X$ and $Y$ be two non-empty sets such that $X\cap A=Y\cap A=\phi$ and $X\cup A=Y\cup A$ for some non-empty set $A$. Then which of the following is true?