Question bank/JEE Main/Mathematics

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 2,000 families own
both a car and a phone. Consider the following three statements

A5 families own both a car and a phoneB35 families own either a car or a phoneC40,000 families live in the town Then,DOnly

Show answer and solution▾

[IMAGE] $65 + 25 - x + x + 15 - x = 100$ $\Rightarrow 105 - x = 100$
$\Rightarrow x = 5$
and $\frac{5}{100} \times 40000 = 2000$ family live in the town.

Source: Grass-G / M-05 Mathematics Paper 10 October.docx