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Mathematics · 2015

JEE Main · 10 April 2015, Shift 1 · Q61

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…

In a certain town, $\displaystyle 25$% of the families own a phone and $\displaystyle 15$% own a car ; $\displaystyle 65$% families own neither a phone nor a car and $\displaystyle 2,000$ families own both a car and a phone. Consider the following three statements :
(a)
$\displaystyle 5$% families own both a car and a phone.
(b)
$\displaystyle 35$% families own either a car or a phone.
(c)
$\displaystyle 40,000$ families live in the town.
Then,
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JEE Main 2015 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.