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,

Step-by-step solution

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 ∴ n A ∪ B = 35 % Also we know that n A ∪ B = n A + n B - n ( A ∩ B ) 35 = 25 + 15 - n ( A ∩ B ) n A ∩ B = 5 % 5 % families own both phone and car and it is given to be 2000 . ∴ 5 %     o f   x = 2000 5 x 100   = 2000 x = 40000 Hence, i ,   i i and i i i are correct.