Let $S=\{1,2,3, \ldots, 40)$ and let $A$ be a subset of $S$ such that no two elements in $A$ have their sum divisible by 5 . What is the maximum number of elements possible in $A$ ?
$10$
$13$
$17$
$20$
Let $A=\{1,2,3,4,5,6\} .$ Insert the appropriate symbol $\in$ or $\notin$ in the blank spaces:
$ 8\, .......\, A $
Which of the following is a true statement
Which of the following are examples of the null set
Set of even prime numbers
In the following state whether $\mathrm{A = B}$ or not :
$A = \{ 2,4,6,8,10\} ;B = \{ x:x$ is positiveeven integer and $x\, \le \,10\} $
State which of the following sets are finite or infinite :
$\{ x:x \in N$ and ${x^2} = 4\} $