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In a survey, 150 people were asked about their favorite fruit. 90 like apples, 7

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Question: In a survey, 150 people were asked about their favorite fruit. 90 like apples, 70 like bananas, and 40 like both. How many like only bananas?

Options:

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

Correct Answer: 30

Solution: 

People who like only bananas = Total banana lovers - Both apple and banana lovers = 70 - 40 = 30.

In a survey, 150 people were asked about their favorite fruit. 90 like apples, 7

Practice Questions

Q1
In a survey, 150 people were asked about their favorite fruit. 90 like apples, 70 like bananas, and 40 like both. How many like only bananas?
  1. 30
  2. 40
  3. 50
  4. 20

Questions & Step-by-Step Solutions

In a survey, 150 people were asked about their favorite fruit. 90 like apples, 70 like bananas, and 40 like both. How many like only bananas?
  • Step 1: Identify the total number of people who like bananas, which is 70.
  • Step 2: Identify the number of people who like both apples and bananas, which is 40.
  • Step 3: To find the number of people who like only bananas, subtract the number of people who like both from the total number of banana lovers: 70 - 40.
  • Step 4: Calculate the result: 70 - 40 = 30.
  • Step 5: Conclude that 30 people like only bananas.
  • Set Theory – Understanding how to calculate the number of people in overlapping sets using the principle of inclusion-exclusion.
  • Basic Arithmetic – Performing simple subtraction to find the number of individuals in a specific category.
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