The number of elements in the set $\{ (a,\,b):2{a^2} + 3{b^2} = 35,\;a,\,b \in Z\} $, where $Z$ is the set of all integers, is
$2$
$4$
$8$
$12$
Make correct statements by filling in the symbols $\subset$ or $ \not\subset $ in the blank spaces:
$\{a, b, c\} \ldots\{b, c, d\}$
State whether each of the following set is finite or infinite :
The set of numbers which are multiple of $5$
Which of the following are sets ? Justify your answer.
The collection of all even integers.
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$\varnothing \in A$
Write the following sets in the set-builder form :
$\{ 2,4,6 \ldots \} $