In a class of 60 students, 25 study History, 30 study Geography, and 10 study bo

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Question: In a class of 60 students, 25 study History, 30 study Geography, and 10 study both. How many students study only Geography?

Options:

Correct Answer: 20

Solution:

The number of students studying only Geography is 30 - 10 = 20.

In a class of 60 students, 25 study History, 30 study Geography, and 10 study both. How many students study only Geography?

In a class of 60 students, 25 study History, 30 study Geography, and 10 study both. How many students study only Geography?

Step 1: Identify the total number of students studying Geography, which is 30.
Step 2: Identify the number of students studying both History and Geography, which is 10.
Step 3: To find the number of students studying only Geography, subtract the number of students studying both from the total number studying Geography.
Step 4: Perform the calculation: 30 (total Geography students) - 10 (students studying both) = 20.
Step 5: Conclude that 20 students study only Geography.

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 History and Geography.
Subtraction in Sets – Calculating the number of students in one set by subtracting those who belong to another overlapping set.