65% of the students in the class like cartoon movies, 70% like horror movies and 75% like war movies. What is the smallest percentage of students liking all the three types of movies?

Chapter/Topic: Ratio and proportions

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

30%

20%

10%

answer is C.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

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 doesn't like cartoon movies = (100−65) = 35%
% of students who doesn't like horror movies = (100−70) = 30%
% of students who doesn't like war movies = (100−75) = 25%
Maximum % of students who doesn't like any movies = (35+30+25) = 90%
Smallest % of students liking all three types of movies = (100−90) = 10%
Hence, Option (3) is the correct answer.

Watch 3-min video & get full concept clarity