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In a survey, 45 people like action movies, 30 like drama, and 15 like both. How

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Question: In a survey, 45 people like action movies, 30 like drama, and 15 like both. How many people like only action movies?

Options:

  1. 30
  2. 15
  3. 45
  4. 60

Correct Answer: 30

Solution:

The number of people who like only action movies is 45 - 15 = 30.

In a survey, 45 people like action movies, 30 like drama, and 15 like both. How

Practice Questions

Q1
In a survey, 45 people like action movies, 30 like drama, and 15 like both. How many people like only action movies?
  1. 30
  2. 15
  3. 45
  4. 60

Questions & Step-by-Step Solutions

In a survey, 45 people like action movies, 30 like drama, and 15 like both. How many people like only action movies?
  • Step 1: Identify the total number of people who like action movies, which is 45.
  • Step 2: Identify the number of people who like both action movies and drama, which is 15.
  • Step 3: To find the number of people who like only action movies, subtract the number of people who like both from the total number of action movie fans: 45 - 15.
  • Step 4: Calculate the result: 45 - 15 = 30.
  • Step 5: The final answer is that 30 people like only action movies.
  • Set Theory – Understanding the relationship between different groups and how to calculate the number of elements in each subset.
  • Venn Diagrams – Using Venn diagrams to visualize the overlap between different categories (action and drama movies in this case).
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