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In a survey, 60% of respondents like reading fiction, 40% like reading non-ficti

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Question: In a survey, 60% of respondents like reading fiction, 40% like reading non-fiction, and 20% like both. What percentage of respondents like only fiction?

Options:

  1. 40%
  2. 20%
  3. 60%
  4. 30%

Correct Answer: 40%

Solution: 

The percentage of respondents who like only fiction is |Fiction| - |Both| = 60% - 20% = 40%.

In a survey, 60% of respondents like reading fiction, 40% like reading non-ficti

Practice Questions

Q1
In a survey, 60% of respondents like reading fiction, 40% like reading non-fiction, and 20% like both. What percentage of respondents like only fiction?
  1. 40%
  2. 20%
  3. 60%
  4. 30%

Questions & Step-by-Step Solutions

In a survey, 60% of respondents like reading fiction, 40% like reading non-fiction, and 20% like both. What percentage of respondents like only fiction?
  • Step 1: Understand that 60% of respondents like reading fiction.
  • Step 2: Understand that 20% of respondents like both fiction and non-fiction.
  • Step 3: To find the percentage of respondents who like only fiction, subtract the percentage of those who like both from the percentage who like fiction.
  • Step 4: Perform the calculation: 60% (like fiction) - 20% (like both) = 40%.
  • Step 5: Conclude that 40% of respondents like only fiction.
  • Set Theory – Understanding the relationships between different groups (in this case, those who like fiction, non-fiction, and both).
  • Percentage Calculation – Calculating the percentage of respondents who like only one category based on given data.
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