In a certain town, 25% families own a phone and families 15% own a car, 65% families own neither a phone nor a car. 2000 families own both a car and a phone. Consider the following statements in this regard: 1. 10% families own both a car and a phone. 2. 35% families own either a car or a phone. 3. 40,000 families live in the town.Which of the above statements are correct?
see full answer
High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET
🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.
An Intiative by Sri Chaitanya
a
1 and 2
b
1 and 3
c
2 and 3
d
1,2 and 3
answer is C.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
n(P)=25%,n(C)=15% , nPc∩Cc=65%,n(P∩C)=2000nPc∩Cc=65%⇒ n(P∪C)c=65%⇒ n(P∪C)=35% Now n(P∪C)=n(P)+n(C)−n(P∩C)⇒ 35=25+15−n(P∩C)⇒ n(P∩C)=40−35=5⇒ 5% of the total =2000⇒ Total number of families =2000×1005=40000Therefore, statements 2 and 3 are correct.