Question: In a class of 60 students, 35 like history, 25 like geography, and 10 like both. How many students like only geography?
Options:
15
25
10
20
Correct Answer: 15
Solution:
The number of students who like only geography is 25 - 10 = 15.
In a class of 60 students, 35 like history, 25 like geography, and 10 like both.
Practice Questions
Q1
In a class of 60 students, 35 like history, 25 like geography, and 10 like both. How many students like only geography?
15
25
10
20
Questions & Step-by-Step Solutions
In a class of 60 students, 35 like history, 25 like geography, and 10 like both. How many students like only geography?
Step 1: Identify the total number of students who like geography, which is 25.
Step 2: Identify the number of students who like both history and geography, which is 10.
Step 3: To find the number of students who like only geography, subtract the number of students who like both from the total number of students who like geography: 25 - 10.
Step 4: Calculate the result: 25 - 10 = 15.
Step 5: Therefore, the number of students who like only geography is 15.
Set Theory – Understanding the relationships between different groups of students who like history and geography.
Venn Diagrams – Using Venn diagrams to visualize the overlap between students who like history and geography.
Subtraction in Sets – Calculating the number of students in one category by subtracting those who belong to both categories.
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