Question: In a class of 80 students, 50 like history, 30 like geography, and 10 like both. How many students like only geography?
Options:
20
30
10
40
Correct Answer: 20
Solution:
The number of students who like only geography is 30 - 10 = 20.
In a class of 80 students, 50 like history, 30 like geography, and 10 like both.
Practice Questions
Q1
In a class of 80 students, 50 like history, 30 like geography, and 10 like both. How many students like only geography?
20
30
10
40
Questions & Step-by-Step Solutions
In a class of 80 students, 50 like history, 30 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 given as 30.
Step 2: Identify the number of students who like both history and geography, which is given as 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: 30 - 10.
Step 4: Calculate the result: 30 - 10 = 20.
Step 5: Conclude that 20 students like only geography.
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 Set Operations – Calculating the number of students who like only one subject by subtracting those who like both.
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