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

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What’s inside this PDF?

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

Options:

  1. 15
  2. 10
  3. 5
  4. 20

Correct Answer: 15

Solution: 

The number of students who study only Mathematics is |Mathematics| - |Both| = 25 - 10 = 15.

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

Practice Questions

Q1
In a class of 40 students, 25 study Mathematics, 20 study Science, and 10 study both subjects. How many students study only Mathematics?
  1. 15
  2. 10
  3. 5
  4. 20

Questions & Step-by-Step Solutions

In a class of 40 students, 25 study Mathematics, 20 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 25.
  • 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: 25 (Mathematics students) - 10 (students studying both) = 15.
  • Step 5: The result, 15, is the number of students who study only Mathematics.
  • Set Theory – Understanding the relationships between different groups of students studying various subjects.
  • Inclusion-Exclusion Principle – Applying the principle to find the number of students studying only one subject by subtracting those studying both.
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