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?
5%
20%
10%
30%
A
30%
B
20%
C
5%
D
10%
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Solution
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Given,
% of students who like cartoon movies =65
% of students who like horror movies =70
% of students who like war movies =75
⇒% of students who dose not like cartoon movies =(100−65)=35
⇒% of students who dose not like horror movies =(100−70)=30
⇒% of students who dose not like war movies =(100−75)=25
⇒ Maximum % of students who dose not like any movies =(35+30+25)=90
⇒ Smallest % of students liking all three types of movies =(100−90)=10
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