1.  In a town 25% families own a phone and 15% own a car, 65% families own neither a phone nor a car. 2000 families own both a phone and a car. Consider the following statement in this regard.

(i) 10% 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.

Which of the above statement are correct?
A. I and II
B. I and III
C. II and III
D. I, II and III

Answer: Option C

Explanation:

Suppose N% families own both a car and a phone,

Then,

percentage of the families owing only a phone = 25 - N

Percentage of the families owing only a car = 15 - N

 (25 - N) +(15 - N) + N + 65 = 100

 N = 5

Percentage of families who have either a car or a phone = (25 - 5) + (15 - 5) + 5 = 35

So, Statement ll is correct.


 Now, suppose the total number of families in the town be A.

(5 x A)/100 = 2000   A = 40000

So, Statement lll is also correct.