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In a group of 150 people, 90 like dogs, 60 like cats, and 30 like both. How many

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Question: In a group of 150 people, 90 like dogs, 60 like cats, and 30 like both. How many people like only cats?

Options:

  1. 30
  2. 60
  3. 90
  4. 120

Correct Answer: 30

Solution: 

The number of people who like only cats is 60 - 30 = 30.

In a group of 150 people, 90 like dogs, 60 like cats, and 30 like both. How many

Practice Questions

Q1
In a group of 150 people, 90 like dogs, 60 like cats, and 30 like both. How many people like only cats?
  1. 30
  2. 60
  3. 90
  4. 120

Questions & Step-by-Step Solutions

In a group of 150 people, 90 like dogs, 60 like cats, and 30 like both. How many people like only cats?
  • Step 1: Identify the total number of people who like cats, which is given as 60.
  • Step 2: Identify the number of people who like both dogs and cats, which is given as 30.
  • Step 3: To find the number of people who like only cats, subtract the number of people who like both from the total number of cat lovers: 60 - 30.
  • Step 4: Calculate the result: 60 - 30 = 30.
  • Step 5: Therefore, the number of people who like only cats is 30.
  • Set Theory – Understanding the relationships between different groups and how to calculate the number of elements in overlapping sets.
  • Venn Diagrams – Using visual representations to solve problems involving overlapping groups.
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