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

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

Options:

  1. 35
  2. 25
  3. 15
  4. 45

Correct Answer: 35

Solution: 

The number of students studying only English is 20 - 10 = 10, and only Mathematics is 25 - 10 = 15. Thus, total studying only one subject is 10 + 15 = 25.

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

Practice Questions

Q1
In a class of 50 students, 20 study English, 25 study Mathematics, and 10 study both. How many students study only one subject?
  1. 35
  2. 25
  3. 15
  4. 45

Questions & Step-by-Step Solutions

In a class of 50 students, 20 study English, 25 study Mathematics, and 10 study both. How many students study only one subject?
  • Step 1: Identify the number of students studying English, which is 20.
  • Step 2: Identify the number of students studying Mathematics, which is 25.
  • Step 3: Identify the number of students studying both subjects, which is 10.
  • Step 4: Calculate the number of students studying only English by subtracting those who study both from those who study English: 20 - 10 = 10.
  • Step 5: Calculate the number of students studying only Mathematics by subtracting those who study both from those who study Mathematics: 25 - 10 = 15.
  • Step 6: Add the number of students studying only English and only Mathematics to find the total number of students studying only one subject: 10 + 15 = 25.
  • 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 Mathematics.
  • Basic Arithmetic – Performing simple subtraction and addition to find the number of students studying only one subject.
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