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In a class of 50 students, 20 study English, 25 study History, and 10 study both

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Question: In a class of 50 students, 20 study English, 25 study History, and 10 study both. How many students study only History?

Options:

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

Correct Answer: 15

Solution: 

To find the number of students who study only History, we subtract those who study both from those who study History: 25 - 10 = 15.

In a class of 50 students, 20 study English, 25 study History, and 10 study both

Practice Questions

Q1
In a class of 50 students, 20 study English, 25 study History, and 10 study both. How many students study only History?
  1. 15
  2. 25
  3. 10
  4. 20

Questions & Step-by-Step Solutions

In a class of 50 students, 20 study English, 25 study History, and 10 study both. How many students study only History?
  • Step 1: Identify the total number of students studying History, which is 25.
  • Step 2: Identify the number of students studying both English and History, which is 10.
  • Step 3: To find the number of students studying only History, subtract the number of students studying both from the total number studying History: 25 - 10.
  • Step 4: Calculate the result: 25 - 10 = 15.
  • Step 5: Therefore, the number of students who study only History is 15.
  • Set Theory – Understanding the relationships between different groups of students studying different subjects.
  • Venn Diagrams – Using Venn diagrams to visualize the overlap between students studying English and History.
  • Basic Arithmetic – Performing simple subtraction to find the number of students studying only one subject.
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