Question: In a class of 80 students, 50 study English, 40 study Hindi, and 20 study both. How many students study only Hindi?
Options:
20
30
40
10
Correct Answer: 20
Solution:
The number of students studying only Hindi is 40 - 20 = 20.
In a class of 80 students, 50 study English, 40 study Hindi, and 20 study both.
Practice Questions
Q1
In a class of 80 students, 50 study English, 40 study Hindi, and 20 study both. How many students study only Hindi?
20
30
40
10
Questions & Step-by-Step Solutions
In a class of 80 students, 50 study English, 40 study Hindi, and 20 study both. How many students study only Hindi?
Step 1: Identify the total number of students studying Hindi, which is 40.
Step 2: Identify the number of students studying both English and Hindi, which is 20.
Step 3: To find the number of students studying only Hindi, subtract the number of students studying both from the total number of students studying Hindi: 40 - 20.
Step 4: Calculate the result: 40 - 20 = 20.
Step 5: Therefore, the number of students studying only Hindi is 20.
Set Theory – The problem involves understanding the relationships between different groups of students studying different languages, specifically using the principle of inclusion-exclusion.
Venn Diagrams – Visualizing the problem with a Venn diagram can help clarify how many students belong to each category (only English, only Hindi, both).
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