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In a survey, 45 people like dogs, 30 like cats, and 15 like both. How many peopl

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Question: In a survey, 45 people like dogs, 30 like cats, and 15 like both. How many people like only cats?

Options:

  1. 15
  2. 30
  3. 45
  4. 0

Correct Answer: 30

Solution: 

The number of people who like only cats is 30 - 15 = 15.

In a survey, 45 people like dogs, 30 like cats, and 15 like both. How many peopl

Practice Questions

Q1
In a survey, 45 people like dogs, 30 like cats, and 15 like both. How many people like only cats?
  1. 15
  2. 30
  3. 45
  4. 0

Questions & Step-by-Step Solutions

In a survey, 45 people like dogs, 30 like cats, and 15 like both. How many people like only cats?
  • Step 1: Identify the total number of people who like cats, which is 30.
  • Step 2: Identify the number of people who like both dogs and cats, which is 15.
  • 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: 30 - 15.
  • Step 4: Calculate the result: 30 - 15 = 15.
  • Step 5: Therefore, the number of people who like only cats is 15.
  • 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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