My Learning Cart
?
Categories
Account

In a class of students, some are studying Mathematics, some are studying Science

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: In a class of students, some are studying Mathematics, some are studying Science, and some are studying both. If 20 students study Mathematics, 15 study Science, and 5 study both, how many students study only Mathematics? (2023)

Options:

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

Correct Answer: 10

Exam Year: 2023

Solution: 

10 students study only Mathematics (20 - 5 = 15).

In a class of students, some are studying Mathematics, some are studying Science

Practice Questions

Q1
In a class of students, some are studying Mathematics, some are studying Science, and some are studying both. If 20 students study Mathematics, 15 study Science, and 5 study both, how many students study only Mathematics? (2023)
  1. 10
  2. 15
  3. 20
  4. 5

Questions & Step-by-Step Solutions

In a class of students, some are studying Mathematics, some are studying Science, and some are studying both. If 20 students study Mathematics, 15 study Science, and 5 study both, how many students study only Mathematics? (2023)
  • Step 1: Identify the number of students studying Mathematics. This is given as 20 students.
  • Step 2: Identify the number of students studying Science. This is given as 15 students.
  • Step 3: Identify the number of students studying both Mathematics and Science. This is given as 5 students.
  • Step 4: To find the number of students studying only Mathematics, subtract the number of students studying both from the total number of students studying Mathematics.
  • Step 5: Perform the calculation: 20 (total Mathematics students) - 5 (students studying both) = 15.
  • Step 6: The result of the calculation shows that there are 15 students who study Mathematics, but we need to find only those who study Mathematics and not Science.
  • Step 7: Since 5 students study both, we need to subtract these from the 15 we just calculated: 15 - 5 = 10.
  • Step 8: Therefore, the number of students who study only Mathematics is 10.
  • Set Theory – Understanding the relationships between different groups of students studying Mathematics and Science, including those studying both subjects.
  • Basic Arithmetic – Performing simple subtraction to find the number of students studying only Mathematics.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks