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,

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,, Only i i and i i i are correct, Only i and i i are correct, All i , i i and i i i are correct, Only i and i i i are correct

MARKS App · 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 ∴ 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.

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