Question

$65\%$ of students in class like cartoon movies, $70\%$ like horror movies and $75\%$ like war movies. What is the smallest percent of student liking all the three type of movies?

• A. $30\%$
• B. $20\%$
• C. $10\%$
• D. $5\%$

Answer 1

The correct option is C $10\%$

Given,

$\%$ of students who like cartoon movies $=65$

$\%$ of students who like horror movies $=70$

$\%$ of students who like war movies $=75$

$\Rightarrow \%$ of students who dose not like cartoon movies $=(100-65)=35$

$\Rightarrow \%$ of students who dose not like horror movies $=(100-70)=30$

$\Rightarrow \%$ of students who dose not like war movies $=(100-75)=25$

$\Rightarrow$ Maximum $\%$ of students who dose not like any movies $=(35+30+25)=90$

$\Rightarrow$ Smallest $\%$ of students liking all three types of movies $=(100-90)=10$