Types of Sets

Which of the following sets are equal?

$A=\{1, 2, 1\}, B=\{3, 1, 1\},C=\{1, 2\}, D=\{x\in \mathrm{\mathbb{N}}: x<3\}, E=\{x: x$ is an odd natural number less than $3\}$

Examine whether any of the following sets is the null set:

$A=\left\{x\mid x^2=16, 2x=6\right\}$

Which of the following is a singleton set?

Which of the following is a null set?

Let $\mathrm{A}=\{\mathrm{x}:\mathrm{x}\in \mathrm{R},-1\le \mathrm{x}\le 1\}$ and $\mathrm{B}=\{\mathrm{x}:\mathrm{x}\in \mathrm{R}, |\mathrm{x}|\le 1\}$, then

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

If $A=\left\{1,\mathrm{ }2,\mathrm{ }3,\mathrm{ }4\right\};B=\left\{a,\mathrm{ }b\right\}$ and $f$ is a mapping such that $f:A\to B$ , then $A\times B$ is

$A=\left\{x:x\ne x\right\}$ represents

If a set $A$ has $5$ elements, then the number of ways of selecting two subsets $P$ and $Q$ from $A$ such that $P$ and $Q$ are mutually disjoint, is

Which of the following is a null set

Let $A=\left\{1,\mathrm{ }2,\mathrm{ }3\right\}$. The total number of distinct relations that can be defined over $A$ is

The set $A=\left\{x:x\in R, x^2=16 \& 2x=6\right\}$ equals