PRACTICE QUESTIONS COMPETITION WING

In a colony of $200$ members, $85$ people read English newspaper, $53$ people read Hindi newspaper, $120$ read Telugu newspaper, $12$ read newspapers of all the three languages, $21$ read English and Hindi newspapers, $17$ read Hindi and Telugu newspapers and $52$ read English and Telugu newspapers.

Find the number of people who read only one of the newspapers.

In a colony of $200$ members, $85$ people read English newspaper, $53$ people read Hindi newspaper, $120$ read Telugu newspaper, $12$ read newspapers of all the three languages, $21$ read English and Hindi newspapers, $17$ read Hindi and Telugu newspapers and $52$ read English and Telugu newspapers.

Find the number of people who read atmost $2$ newspapers.

In a colony of $200$ members, $85$ people read English newspaper, $53$ people read Hindi newspaper, $120$ read Telugu newspaper, $12$ read newspapers of all the three languages, $21$ read English and Hindi newspapers, $17$ read Hindi and Telugu newspapers and $52$ read English and Telugu newspapers.

Find the number of people who read exactly $2$ newspapers.

$A$ and $B$ are two sets such that $n\left(A\right)=12, n\left(B\right)=10, A\cap B\ne \varphi$ and $B\not\subset A$.
The least possible value of $n\left(A\Delta B\right)$ is

Which of the following is/are not true?

$\left(A\right) P=\{x:x=2y+1$ and $y\in N\}$ is a finite set.

$\left(B\right) Q=\left\{x:x\in R\right.$ and $\left.x^2+1=0\right\}$ is a null set.

$\left(C\right) R=\left\{x:x^3+1=0\right.$ and $\left.x^2+1=0\right\}$ is a singleton set.

$\left(D\right) S=\{x:8<x<13, x\in R\}$ is an infinite set

If $\mu =\{-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5\}$

$A=\left\{x:x^2=25, x\in Z\right\}$

$B=\left\{x:x^2+5=9, x\in Z\right\}$

and $C=\left\{x:-2\le x\le 2, x\in Z\right\}$, then $(A\cap B\cap C{)}^C\cap (A\Delta B{)}^C=$

$A$ and $B$ are two sets such that $n\left(A\right)=20\text{ and }n\left(B\right)=5$.

The minimum possible value os $n\left(A\Delta B\right)$ is 

$A$ and $B$ are two sets such that $n\left(A\right)=20\text{ and }n\left(B\right)=5$.

The maximum possible value of $n\left(A\Delta B\right)$ is