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

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

Options:

Correct Answer: 10

Solution:

The number of students who study only Mathematics is 20 - 10 = 10.

In a class of 50 students, 20 study Mathematics, 25 study Science, and 10 study both. How many students study only Mathematics?

In a class of 50 students, 20 study Mathematics, 25 study Science, and 10 study both. How many students study only Mathematics?

Step 1: Identify the total number of students studying Mathematics, which is 20.
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 from the total number studying Mathematics.
Step 4: Perform the calculation: 20 (total Mathematics students) - 10 (students studying both) = 10.
Step 5: The result is that 10 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.