Test SeriesFree PYQsExamsPricing

JEE Main 2015 Mathematics question

MathematicsSets and RelationJEE Main 2015

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: () 5% families own both a car and a phone. () 35% families own either a car or a phone. () 40000 families live in the town. Then,

Answer: (3)

Solution

Let and denote the sets of families owning a phone and a car. Since 65% own neither, , so statement () is correct. By the inclusion-exclusion principle, \cap\cup$

See the full step-by-step solution

Create a free account to read the complete working, and practise questions like this in a timed test.

Create a free account

Question ID VK-115300