If 50% of a group like reading, 30% like writing, and 10% like both, what percen

Practice Questions

Q1
If 50% of a group like reading, 30% like writing, and 10% like both, what percentage like only reading?
  1. 40%
  2. 30%
  3. 20%
  4. 10%

Questions & Step-by-Step Solutions

If 50% of a group like reading, 30% like writing, and 10% like both, what percentage like only reading?
  • Step 1: Understand that 50% of the group likes reading.
  • Step 2: Understand that 10% of the group likes both reading and writing.
  • Step 3: To find the percentage of people who like only reading, subtract the percentage of people who like both from the percentage of people who like reading.
  • Step 4: Calculate: 50% (like reading) - 10% (like both) = 40%.
  • Step 5: Conclude that 40% of the group likes only reading.
  • Set Theory – Understanding the relationships between different groups and how to calculate exclusive preferences.
  • Percentage Calculation – Calculating percentages based on given data and understanding overlaps in preferences.
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