A survey shows that 63% of the people in a city read newspaper A, whereas 76% read newspap…

Question

A survey shows that 63\% of the people in a city read newspaper A, whereas 76\% read newspaper B. If $x\%$ of the people read both the newspapers, then a possible value of $x$ can be:

Accepted Answer

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.

Solutions · 1