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In a group of 90 people, 50 like reading, 40 like writing, and 20 like both. How

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Question: In a group of 90 people, 50 like reading, 40 like writing, and 20 like both. How many like only writing?

Options:

  1. 20
  2. 30
  3. 10
  4. 40

Correct Answer: 20

Solution: 

People who like only writing = Total writing lovers - Both reading and writing lovers = 40 - 20 = 20.

In a group of 90 people, 50 like reading, 40 like writing, and 20 like both. How

Practice Questions

Q1
In a group of 90 people, 50 like reading, 40 like writing, and 20 like both. How many like only writing?
  1. 20
  2. 30
  3. 10
  4. 40

Questions & Step-by-Step Solutions

In a group of 90 people, 50 like reading, 40 like writing, and 20 like both. How many like only writing?
  • Step 1: Identify the total number of people who like writing, which is 40.
  • Step 2: Identify the number of people who like both reading and writing, which is 20.
  • Step 3: To find the number of people who like only writing, subtract the number of people who like both from the total number of writing lovers: 40 - 20.
  • Step 4: Calculate the result: 40 - 20 = 20.
  • Step 5: Conclude that 20 people like only writing.
  • Set Theory – Understanding the relationships between different groups and how to calculate the number of individuals in overlapping sets.
  • Venn Diagrams – Using Venn diagrams to visualize the distribution of people who like reading, writing, or both.
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