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

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Q: 95 (CAPF/2015)
65% students in a class like cartoon movies, 70% like horror movies, and 75% like war movies. What is the smallest percent of students liking all the three types of movies ?

question_subject: 

Logic/Reasoning

question_exam: 

CAPF

stats: 

0,7,8,7,4,1,3

keywords: 

{'smallest percent': [0, 0, 0, 1], 'movies': [0, 0, 0, 1], 'students': [0, 1, 1, 1], 'cartoon movies': [0, 0, 0, 1], 'horror movies': [0, 0, 0, 1], 'war movies': [0, 0, 0, 1], 'types': [11, 3, 20, 23]}

To determine the smallest percentage of students who like all three types of movies, we need to consider the percentage of students who like each individual type of movie and find the overlap.

According to the given information, 65% of students like cartoon movies, 70% like horror movies, and 75% like war movies.

To find the smallest percentage of students who like all three types of movies, we need to find the smallest overlap between any two genres. It means that we need to find the smallest percentage among the three given percentages.

Looking at the options provided:

- Option 1: 10%

- Option 2: 25%

- Option 3: 30%

- Option 4: 5%

Among these options, the smallest percentage is 10%. Therefore, option 1 is the correct answer.

In conclusion, the smallest percent of students liking all three types of movies is 10%.