OBJECTIVE TYPE QUESTIONS

There is a certain number of students in a school. Of them, $130$ students passed subject  $A$, $113$ passed subject $B$, $117$ passed subject $C$. But $60$ of the students passed exactly two of the subjects whereas $20$ students passed all the three. Further $70$ students failed in all subjects. The total number of students is

For any three sets $\mathrm{A}, \mathrm{B}, \mathrm{C}$ which of the following is true?

If $n\left(U\right)=36,n\left(A\right)=16,n\left(B\right)=12$ and $n(A\cap B)=4$, where $U$ is the universal set, $A$ and $B$ are subsets of $U$, then $n(A\cup B{)}^{\text{'}}$ equals

The value of $n\left[\right(\mathrm{A}-\mathrm{B})\cup (\mathrm{B}-\mathrm{A}\left)\right]+n(\mathrm{A}\cap \mathrm{B})$ equals

Let $A=\{x: x$ is a digit in the number $3591\}$, $B=\{x: x\in \mathrm{N}, x<10\}$, then which of the following is false.

If $A \mathrm{and} B$ are two sets, $A\cap (A\cap B)$ is 

If $\mathrm{A}=\{a,b,c,d,e\}$, the number of elements of the power set of $\mathrm{A}$ is 

The number of proper subsets of the set $\{a, b, c, d, e, f, g\}$ is