JEE Main 2015 (Online) 10th AprilQuestion 1
In a certain town, $25\%$ of the families own a phone and $15\%$ own a car; $65\%$ families own neither a phone nor a car and $2000$ families own both a car and a phone. Consider the following three statements:
(i) $5\%$ families own both a car and a phone.
(ii) $35\%$ families own either a car or a phone.
(iii) $40000$ families live in the town.
Then,
Sets, Relations and Function
Solution
$n(P\cup C)=100\%-65\%=35\%$, so $n(P\cap C)=25+15-35=5\%$, and $5\%$ of the families $=2000$ gives $40000$ families. All three statements are correct.