Question 1 :
If $$n(A) = 115$$, $$n(B) = 326$$, $$n(A - B) = 47$$ then $$\displaystyle n\left ( A\cup B \right )$$ is equal to

Question 2 :
If A has 5 elements and B has 8 elements such that$$\displaystyle A\subset B,$$ then the number of elements in$$\displaystyle A\cap B,$$ and$$\displaystyle A\cup B,$$ are respectively :

Question 3 :
In a community of $$  175$$ persons, $$40$$ read TOI, $$50$$ read the Samachar Patrika and $$100$$ do not read either. How many persons read both the papers?

Question 4 :
If $$S$$ and $$T$$ are two sets such that $$S$$ has $$21$$ elements, $$T$$ has $$32$$ elements and&#160;$$\displaystyle S\cap T$$&#160;has $$11$$ elements, then<br/>find the number of elements in&#160;$$\displaystyle S\cup &#160;T$$.

Question 5 :
If $$F(n)$$ denotes the set of all divisions of n except $$1$$ what is the least value of $$y$$ satisfying&#160;$$\displaystyle \left [ F\left ( 20 \right )\cap F\left ( 16 \right )\subseteq F\left ( y \right ) \right ] $$

Question 6 :
If for two sets $$A$$ and $$B$$, $$A\cup B=A\cap B=A$$, then we have

Question 8 :
If $$A=\left\{ 2,4\left\{ 5,6 \right\} ,8 \right\} $$, then which one of the following statements is not correct?

Question 9 :
Let $$A$$ and $$B$$ have $$3$$ and $$6$$ elements respectively. What can be the minimum number of elements in $$A\cup B$$?

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

Question 11 :
From a survey of $$100$$ college students, a marketing research company found that $$75$$ students owned stereos, $$45$$ owned cars, and $$35$$ owned cars and stereos.How many students owned either a car or a stereo?<br>

Question 12 :
In a science talent examination, $$50$$% of the candidates fail in Mathematics and $$50$$% fail in Physics. If $$20$$% fail in both these subjects, then the percentage who pass in both Mathematics and Physics is

Question 14 :
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 15 :
$$40$$% of all high school students hate roller coasters; the rest love them. $$20$$% of thosestudents who love roller coasters own chinchillas. What percentage of students loveroller coasters but do not own a chinchilla?

Question 17 :
In Question some relationship have been expressed through symbols as defined below : &#160; &#160; (N-83)<br/>&#160; &#160; &#160;+ - x&#160;$$\displaystyle\div $$ = &gt; &lt;<br/>&#160; &#160; &#160;V&#160;$$\displaystyle\Lambda $$ ( ) U&#160;$$\displaystyle\cap $$ 0<br/>&#160; &#160; In question only one of the five relationship is correct Find the correct one and encircle its serial number on the space provided against the question ______________.

Question 18 :
If $$\displaystyle&#160;Q=\left\{ x:x=\frac { 1 }{ y } ,where\&#160; \ y\ \in \ N \right\} $$, then find the correct one.