Multiple choice

A small town has a total population of 25000. Out of which, 13000 watch Hindi movies, 10500 watch English movies and 2500 watch both types of movies. The percentage of population which watches neither of these movies is

  1. 10%

  2. 16%

  3. 27%

  4. 30%

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Using the Principle of Inclusion-Exclusion, the number of people watching at least one movie is 13000 + 10500 - 2500 = 21000. The number of people watching neither is 25000 - 21000 = 4000. The percentage is (4000/25000) * 100 = 16%.

AI explanation

Using the principle of inclusion-exclusion for two sets, the number of people who watch at least one type of movie is 13000 + 10500 - 2500 = 21000. The population that watches neither movie is the total population minus this value, giving 25000 - 21000 = 4000. The required percentage is (4000 / 25000) multiplied by 100, which equals 16%.

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