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In a class of 40 students, 25 study English, 20 study Mathematics, and 10 study

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What’s inside this PDF?

Question: In a class of 40 students, 25 study English, 20 study Mathematics, and 10 study both. How many study only Mathematics?

Options:

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

Correct Answer: 15

Solution: 

To find the number of students who study only Mathematics, we subtract those who study both from those who study Mathematics: 20 - 10 = 10.

In a class of 40 students, 25 study English, 20 study Mathematics, and 10 study

Practice Questions

Q1
In a class of 40 students, 25 study English, 20 study Mathematics, and 10 study both. How many study only Mathematics?
  1. 10
  2. 15
  3. 20
  4. 25

Questions & Step-by-Step Solutions

In a class of 40 students, 25 study English, 20 study Mathematics, and 10 study both. How many study only Mathematics?
  • Step 1: Identify the total number of students studying Mathematics, which is 20.
  • Step 2: Identify the number of students studying both English and Mathematics, which is 10.
  • Step 3: Subtract the number of students studying both subjects from the total number studying Mathematics: 20 - 10.
  • Step 4: The result is 10, which means 10 students study only Mathematics.
  • Set Theory – Understanding the relationships between different groups of students studying various subjects.
  • Venn Diagrams – Visualizing the overlap between students studying English, Mathematics, and both subjects.
  • Basic Arithmetic – Performing simple subtraction to find the number of students studying only one subject.
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