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In a group of 50 people, 30 like reading fiction, 20 like reading non-fiction, a

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Question: In a group of 50 people, 30 like reading fiction, 20 like reading non-fiction, and 5 like both. How many people do not like reading?

Options:

  1. 15
  2. 20
  3. 25
  4. 10

Correct Answer: 20

Solution: 

The number of people who like reading is |Fiction| + |Non-Fiction| - |Both| = 30 + 20 - 5 = 45. Therefore, those who do not like reading = 50 - 45 = 5.

In a group of 50 people, 30 like reading fiction, 20 like reading non-fiction, a

Practice Questions

Q1
In a group of 50 people, 30 like reading fiction, 20 like reading non-fiction, and 5 like both. How many people do not like reading?
  1. 15
  2. 20
  3. 25
  4. 10

Questions & Step-by-Step Solutions

In a group of 50 people, 30 like reading fiction, 20 like reading non-fiction, and 5 like both. How many people do not like reading?
  • Step 1: Identify the total number of people in the group, which is 50.
  • Step 2: Identify how many people like reading fiction, which is 30.
  • Step 3: Identify how many people like reading non-fiction, which is 20.
  • Step 4: Identify how many people like both fiction and non-fiction, which is 5.
  • Step 5: Use the formula to find the total number of people who like reading: Total = Fiction + Non-Fiction - Both.
  • Step 6: Substitute the numbers into the formula: Total = 30 + 20 - 5.
  • Step 7: Calculate the total: 30 + 20 = 50, then 50 - 5 = 45.
  • Step 8: Now, find out how many people do not like reading by subtracting the total who like reading from the total number of people: 50 - 45.
  • Step 9: Calculate the number of people who do not like reading: 50 - 45 = 5.
  • Set Theory – Understanding the union and intersection of sets to calculate the total number of unique elements.
  • Basic Arithmetic – Performing addition and subtraction to find totals and differences.
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