Question

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

• A. $x\ge 25$
• B. $x\le 25$
• C. $25\le x\le 52$
• D. $x=36$

Answer 1

The correct option is C $25\le x\le 52$

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

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