Amit M Agarwal Solutions for Chapter: Sets, Exercise 1: Work Book Exercise

Let $A=\left\{1,2,3\right\}, B=\left\{3,4\right\}, C=\left\{4,5,6\right\}.$ Then $A\cup \left(B\cap C\right)$ is

If $A$ and $B$ are two sets, then $A\cap \left(A\cup B\right)$ equals

If $A=\left\{\varphi ,\left\{\varphi \right\}\right\}$, then the power set of $A$ is

Subtraction of integers is an operation that is

Consider the set $A$ of all determinants of order $3$ with entries $0$ or $1$ only. Let $B$ be the subset of $A$ consisting of all determinants with value $1$. Let $C$ be the subset of the set of all determinants with value $-1$. Then,

In a town of $840$ persons, $450$ persons read Hindi, $300$ read English and $200$ read both, then the number of persons who read neither of the two, is

Let $S=${$x:x$ is a positive multiple of $3$ less than $100$}, $P=${$x:x$ is a prime number less than $20$}. Then $n\left(S\right)+n\left(P\right)$ is 

If $A$ and $B$ are two disjoint sets, then $n\left(A\cup B\right)$ is equal to