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In a class of students, there are three types of students: those who study Mathe

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Question: In a class of students, there are three types of students: those who study Mathematics, those who study Science, and those who study both. If 40% study Mathematics, 30% study Science, and 10% study both, what percentage of students study only Mathematics? (2023)

Options:

  1. 30%
  2. 40%
  3. 10%
  4. 20%

Correct Answer: 30%

Exam Year: 2023

Solution: 

The percentage of students studying only Mathematics is 40% - 10% = 30%.

In a class of students, there are three types of students: those who study Mathe

Practice Questions

Q1
In a class of students, there are three types of students: those who study Mathematics, those who study Science, and those who study both. If 40% study Mathematics, 30% study Science, and 10% study both, what percentage of students study only Mathematics? (2023)
  1. 30%
  2. 40%
  3. 10%
  4. 20%

Questions & Step-by-Step Solutions

In a class of students, there are three types of students: those who study Mathematics, those who study Science, and those who study both. If 40% study Mathematics, 30% study Science, and 10% study both, what percentage of students study only Mathematics? (2023)
  • Step 1: Identify the percentage of students studying Mathematics, which is 40%.
  • Step 2: Identify the percentage of students studying both Mathematics and Science, which is 10%.
  • Step 3: To find the percentage of students studying only Mathematics, subtract the percentage of students studying both from the percentage studying Mathematics.
  • Step 4: Perform the calculation: 40% (Mathematics) - 10% (both) = 30%.
  • Step 5: The result, 30%, is the percentage of students studying only Mathematics.
  • Set Theory – Understanding the relationships between different groups of students studying Mathematics and Science.
  • Percentage Calculation – Calculating percentages based on given data and understanding overlaps in sets.
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