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In a class of 30 students, 18 students study Mathematics, 15 study Science, and

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Question: In a class of 30 students, 18 students study Mathematics, 15 study Science, and 10 study both subjects. How many students study only Mathematics?

Options:

  1. 8
  2. 10
  3. 15
  4. 18

Correct Answer: 8

Solution: 

To find the number of students who study only Mathematics, we use the formula: Only Mathematics = Total Mathematics - Both subjects. Thus, 18 - 10 = 8.

In a class of 30 students, 18 students study Mathematics, 15 study Science, and

Practice Questions

Q1
In a class of 30 students, 18 students study Mathematics, 15 study Science, and 10 study both subjects. How many students study only Mathematics?
  1. 8
  2. 10
  3. 15
  4. 18

Questions & Step-by-Step Solutions

In a class of 30 students, 18 students study Mathematics, 15 study Science, and 10 study both subjects. How many students study only Mathematics?
  • Step 1: Identify the total number of students studying Mathematics, which is 18.
  • Step 2: Identify the number of students studying both Mathematics and Science, which is 10.
  • Step 3: To find the number of students studying only Mathematics, subtract the number of students studying both subjects from the total number of Mathematics students.
  • Step 4: Perform the calculation: 18 (total Mathematics students) - 10 (students studying both) = 8.
  • Step 5: Conclude that 8 students study only Mathematics.
  • Set Theory – Understanding the relationships between different groups of students studying various subjects.
  • Venn Diagrams – Using Venn diagrams to visualize the overlap between students studying Mathematics and Science.
  • Basic Arithmetic – Performing simple subtraction to find the number of students studying only one subject.
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