JEE Main 2015 — Sets and Relations Question with Solution
JEE Main 2015 (10 Apr Online)
Question
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.
families own either a car or a phone.
families live in the town.
Then,
families own both a car and a phone.
families own either a car or a phone.
families live in the town.
Then,
Choose an option
Show full solutionCorrect option: C
Correct answer
CAll and are correct
Step-by-step explanation
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, and 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, and are correct.
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This is a previous-year question from JEE Main 2015, covering the Sets and Relations chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.