If $A = \{ 1,\,2,\,3,\,4,\,5\} ,$ then the number of proper subsets of $A$ is
$120$
$30$
$31$
$32$
From the sets given below, select equal sets:
$A=\{2,4,8,12\}, B=\{1,2,3,4\}, C=\{4,8,12,14\}, D=\{3,1,4,2\}$
$E=\{-1,1\}, F=\{0, a\}, G=\{1,-1\}, H=\{0,1\}$
Write the set $A = \{ 1,4,9,16,25, \ldots .\} $ in set-builder form.
Examine whether the following statements are true or false :
$\{ a\} \in \{ a,b,c\} $
The set $A = \{ x:x \in R,\,{x^2} = 16$ and $2x = 6\} $ equals
Write the following sets in the set-builder form :
${\rm{\{ 5,25,125,625\} }}$