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In a group of 200 people, 120 like reading, 80 like writing, and 50 like both. H

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Question: In a group of 200 people, 120 like reading, 80 like writing, and 50 like both. How many people like only writing?

Options:

  1. 30
  2. 50
  3. 80
  4. 20

Correct Answer: 30

Solution:

The number of people who like only writing is 80 - 50 = 30.

In a group of 200 people, 120 like reading, 80 like writing, and 50 like both. H

Practice Questions

Q1
In a group of 200 people, 120 like reading, 80 like writing, and 50 like both. How many people like only writing?
  1. 30
  2. 50
  3. 80
  4. 20

Questions & Step-by-Step Solutions

In a group of 200 people, 120 like reading, 80 like writing, and 50 like both. How many people like only writing?
  • Step 1: Identify the total number of people who like writing, which is 80.
  • Step 2: Identify the number of people who like both reading and writing, which is 50.
  • 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 people who like writing: 80 - 50.
  • Step 4: Calculate the result: 80 - 50 = 30.
  • Step 5: Therefore, the number of people who like only writing is 30.
  • Set Theory – Understanding the relationships between different groups, specifically using Venn diagrams to visualize overlaps.
  • Basic Arithmetic – Performing simple subtraction to find the number of individuals in a specific category.
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