Embibe Experts Solutions for Chapter: Set Theory and Relations, Exercise 1: NDA & NA EE 2019 Paper 1 Mathematics

The number $\left(1101101+1011011\right)$ can be written in decimal system as

Let $S=\left\{1, 2, 3,\dots \right\}$. A relation $R$ on $S\times S$ is defined by $xRy$ if ${\log }_{a}x>{\log }_{a}y$ when $a=\frac{1}{2}.$ Then the relation is

Consider the proper subsets of $\{1, 2, 3, 4\}.$ How many of these proper subsets are superset of the set $\left\{3\right\}?$

If $A=\left\{x : 0\le x\le 2\right\}$ and $B=$ {$y : y$ is a prime number}, then what is $A\cap B$ equal to?

Let $A\cup B=\left\{x|\left(x-a\right)\left(x-b\right)>0\right\}$ where $a<b$. What are $A$ and $B$ equal to?

Let $S=\left\{2, 4, 6, 8, \dots \dots , 20\right\}.$ What are the maximum number of subsets of $S?$

A binary number is represented by ${\left(\mathrm{cdccddcccddd}\right)}_2,$ where $\mathrm{c}>\mathrm{d}.$ What is its decimal equivalent?

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