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In a survey of 150 people, 90 like dogs, 70 like cats, and 40 like both. How man

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Question: In a survey of 150 people, 90 like dogs, 70 like cats, and 40 like both. How many like only dogs?

Options:

  1. 50
  2. 40
  3. 30
  4. 20

Correct Answer: 50

Solution: 

The number of people who like only dogs is 90 - 40 = 50.

In a survey of 150 people, 90 like dogs, 70 like cats, and 40 like both. How man

Practice Questions

Q1
In a survey of 150 people, 90 like dogs, 70 like cats, and 40 like both. How many like only dogs?
  1. 50
  2. 40
  3. 30
  4. 20

Questions & Step-by-Step Solutions

In a survey of 150 people, 90 like dogs, 70 like cats, and 40 like both. How many like only dogs?
  • Step 1: Identify the total number of people who like dogs, which is 90.
  • Step 2: Identify the number of people who like both dogs and cats, which is 40.
  • 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: 90 - 40.
  • Step 4: Calculate the result: 90 - 40 = 50.
  • Step 5: Conclude that 50 people like only dogs.
  • 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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