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. i i 35 % families own either a car or a phone. i i i…

Question

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. i i 35 % families own either a car or a phone. i i i 40000 families live in the town. Then,

Aicharya · Accepted Answer

Let set A contains families which own a phone and set B contain families which own a car. If 65 % families own neither a phone nor a car, then 35 % will own either a phone or a car &#8756; n A &#8746; B = 35 % Also we know that n A &#8746; B = n A + n B - n ( A &#8745; B ) 35 = 25 + 15 - n ( A &#8745; B ) n A &#8745; B = 5 % 5 % families own both phone and car and it is given to be 2000 . &#8756; 5 % &#160; &#160; o f &#160; x = 2000 5 x 100 &#160; = 2000 x = 40000 Hence, i , &#160; i i and i i i are correct.

In a certain town, 25 % of the families own a phone and 15 % own a car; 65 % families own neither a phone…

Solution