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In a group of 200 people, 120 like dogs, 80 like cats, and 50 like both. How man

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

Options:

  1. 70
  2. 50
  3. 80
  4. 100

Correct Answer: 70

Solution: 

The number of people who like only dogs is 120 - 50 = 70.

In a group of 200 people, 120 like dogs, 80 like cats, and 50 like both. How man

Practice Questions

Q1
In a group of 200 people, 120 like dogs, 80 like cats, and 50 like both. How many people like only dogs?
  1. 70
  2. 50
  3. 80
  4. 100

Questions & Step-by-Step Solutions

In a group of 200 people, 120 like dogs, 80 like cats, and 50 like both. How many people like only dogs?
  • Step 1: Identify the total number of people who like dogs, which is 120.
  • Step 2: Identify the number of people who like both dogs and cats, which is 50.
  • Step 3: To find the number of people who like only dogs, subtract the number of people who like both from the total number of dog lovers: 120 - 50.
  • Step 4: Calculate the result: 120 - 50 = 70.
  • Step 5: Conclude that 70 people like only dogs.
  • Set Theory – Understanding the relationships between different groups, specifically using the principle of inclusion-exclusion.
  • Venn Diagrams – Visualizing the overlap between groups to determine the number of individuals in each category.
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