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In a survey, 200 people were asked about their favorite sport. 120 like cricket,

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Question: In a survey, 200 people were asked about their favorite sport. 120 like cricket, 80 like football, and 40 like both. How many like only cricket?

Options:

  1. 80
  2. 40
  3. 100
  4. 60

Correct Answer: 80

Solution: 

People who like only cricket = Total cricket lovers - Both cricket and football lovers = 120 - 40 = 80.

In a survey, 200 people were asked about their favorite sport. 120 like cricket,

Practice Questions

Q1
In a survey, 200 people were asked about their favorite sport. 120 like cricket, 80 like football, and 40 like both. How many like only cricket?
  1. 80
  2. 40
  3. 100
  4. 60

Questions & Step-by-Step Solutions

In a survey, 200 people were asked about their favorite sport. 120 like cricket, 80 like football, and 40 like both. How many like only cricket?
  • Step 1: Identify the total number of people who like cricket, which is 120.
  • Step 2: Identify the number of people who like both cricket and football, which is 40.
  • Step 3: To find the number of people who like only cricket, subtract the number of people who like both from the total number of cricket lovers.
  • Step 4: Perform the calculation: 120 (total cricket lovers) - 40 (both cricket and football lovers) = 80.
  • Step 5: Conclude that 80 people like only cricket.
  • Set Theory – Understanding the relationships between different groups, specifically using the principle of inclusion-exclusion.
  • Basic Arithmetic – Performing simple subtraction to find the number of people in a specific category.
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