If $\mathrm{A}=\left\{a,b,c,d,e\right\},\mathrm{B}=\left\{c,d,e,f\right\},\mathrm{C}=\left\{b,d\right\}$ and $\mathrm{D}=\left\{a, e\right\}$, then $\mathrm{C}\subseteq \mathrm{A}$.

Take the set of natural numbers from $1$ to $20$ as universal set and show set $X$ and $Y$ using Venn diagram.

$X=\{x | x\in N,$ and $7<x<15\}$

$Y=\{y | y \in N, y$ is prime number from $1$ to $20\}$

$U=\left\{1, 2, 3, 7, 8, 9, 10, 11, 12\right\}$ and $P=\left\{1, 3, 7, 10\right\}$ then, show the sets $U$, $P$ and $P^{\text{'}}$ by Venn diagram.

If $U=\left\{1, 2, 3, 7, 8, 9, 10, 11, 12\right\}$ and $P=\left\{1, 3, 7, 10\right\}$, Verify ${\left(P^{\text{'}}\right)}^{\text{'}}=P$.

If $A=\left\{1, 3, 2, 7\right\}$, then write any three subsets of $A$.

Write the subset relation between the sets.

$P$ is the set of all residents in Pune.

$M$ is the set of all residents in Madhya Pradesh.

$I$ is the set of all residents in Indore.

$B$ is the set of all residents in India.

$H$ is the set of all residents in Maharashtra.

Which set can be the universal set for the given sets?

$P$ is the set of all residents in Pune.

$M$ is the set of all residents in Madhya Pradesh.

$I$ is the set of all residents in Indore.

$B$ is the set of all residents in India.

$H$ is the set of all residents in Maharashtra.

Which set of numbers could be the universal set for the given sets?

$A=$ set of multiples of $5$

$B=$ set of multiples of $7$

$C=$ set of multiples of $12$

Which set of numbers could be the universal set for the sets given below?

$P=$ set of integers which are multiples of $4$.

$T=$ set of all even square numbers.