Question

If $A=\{x:x$ is a letter of the word 'RAMANA'$\}$,
$B=\{x:x$ is a letter of the word 'MISSISSIPPI'$\}$,
$C=\{x:x$ is a letter of the word 'NOOKBOOK'$\}$,
Then relation between cardinality of sets $A,B$ and $C$ is

• A. $n\left(A\right)=n\left(B\right)=n\left(C\right)$
• B. $n\left(A\right)=2,n\left(B\right)=n\left(C\right)$
• C. $n\left(A\right)+n\left(C\right)=n\left(B\right)$
• D. $n\left(B\right)>n\left(A\right)>n\left(C\right)$

Answer 1

The correct option is A $n\left(A\right)=n\left(B\right)=n\left(C\right)$

$A=\{A,M,N,R\}\Rightarrow n\left(A\right)=4$
$B=\{I,M,P,S\}\Rightarrow n\left(B\right)=4$
$C=\{B,K,O,N\}\Rightarrow n\left(C\right)=4$
$\therefore n\left(A\right)=n\left(B\right)=n\left(C\right)$