QJEEM20Madea1: JEE Main 2020 Mathematics - Class 11 JEEM20Madea1 Solution: A survey shows that 63% of the people in a city read newspaper…

A $\cup$ B = 63 - x + x + 76 - x = 139 - x

As 139 - x $\le$ 100

$\Rightarrow$ x $\ge$ 39

From venn diagram, you can see x should be less than 76 and 63 otherwise only A newspaper or only B newspaper reader will be negative number.

Intersection of x $\le$ 63 and x $\le$ 76 is = x $\le$ 63.

$\therefore$ 39 $\le$ x $\le$ 63

From options possible value of x = 55.