Question

Out of $450$ students in a school, $193$ students read Science Today, $200$ students read Junior Statesman, while $80$ students read neither. How many students read both the magazines?

• A. $137$
• B. $80$
• C. $57$
• D. $23$

Answer 1

The correct option is D $23$

$n\left(U\right)=450$

n(Students read Science Today) $=193=n\left(S\right)$

n(Students read Junior Statesman) $=200=n\left(J\right)$

n(students read neither) $=80$

$n(S\cup J)$= n(U)-n(students read neither) $=450-80=370$

Also, $n(S\cup J)=n\left(S\right)+n\left(J\right)-n(S\cap J)$

$370=193+200-n(S\cap J)$

$n(S\cap J)=393-370=23$