If 60% of students like reading fiction, 40% like reading non-fiction, and 10% l

Practice Questions

Q1
If 60% of students like reading fiction, 40% like reading non-fiction, and 10% like both, what percentage of students like only fiction?
  1. 50%
  2. 40%
  3. 30%
  4. 20%

Questions & Step-by-Step Solutions

If 60% of students like reading fiction, 40% like reading non-fiction, and 10% like both, what percentage of students like only fiction?
  • Step 1: Understand that 60% of students like reading fiction.
  • Step 2: Understand that 10% of students like both fiction and non-fiction.
  • Step 3: To find the percentage of students who like only fiction, subtract the percentage of students who like both from the percentage who like fiction.
  • Step 4: Calculate: 60% (like fiction) - 10% (like both) = 50%.
  • Step 5: Conclude that 50% of students like only fiction.
  • Set Theory – Understanding the relationships between different groups of students who like fiction, non-fiction, and both.
  • Percentage Calculation – Calculating percentages based on given data and understanding how to manipulate them.
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