Question

In a community it is found that $52\%$ people like prime video and $73\%$ like Netflix and $x\%$ like both, then $x$ can be

• A. $21$
• B. $32$
• C. $52$
• D. $62$

Answer 1

Answer: (B), (C)

$52$

$\left(\right(\text{Prime})\cup (\text{Netflix}\left)\right)=\left(\text{Prime}\right)+\left(\text{Netflix}\right)-\left(\text{Prime}\right)\cap \left(\text{Netflix}\right)=100\Rightarrow x\ge 25$

$\left(\text{Prime}\right)\cap \left(\text{Netflix}\right)\text{must be}\le \text{least of (Prime) or (Netflix)}=52$
$\therefore x\in [25,52]$
$\Rightarrow 25\le x\le 52$