JEE Main 201510 AprilOnline
- Exam
- JEE Main
- Year
- 2015
- Date
- 10 April
- Mode
- Online
- Subject
- Mathematics
- Chapter
- Sets and Relations
JEE Main 2015 · 10 April · Online · Mathematics · Sets and Relations
In a certain town, 25 % of the families own a phone and 15 % own a...
In a certain town, of the families own a phone and own a car; families own neither a phone nor a car and families own both a car and a phone. Consider the following three statements:
families own both a car and a phone.
\left(ii\right) 35 % families live in the town.
Then,
families own both a car and a phone.
\left(ii\right) 35 % families live in the town.
Then,
Options
- AOnly and are correct
- BOnly and are correct
- CAll and \left(iii\right)$ are correct
- DOnly and are correct
Correct answer
C. All and \left(iii\right)$ are correct
Step-by-step solution
Let set contains families which own a phone and set contain families which own a car.
If families own neither a phone nor a car, then will own either a phone or a car
Also we know that
families own both phone and car and it is given to be .
Hence, \left(i\right), are correct.
If families own neither a phone nor a car, then will own either a phone or a car
Also we know that
families own both phone and car and it is given to be .
Hence, \left(i\right), are correct.