In a class of 50 students, 20 study English, 25 study Hindi, and 10 study both.

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Question: In a class of 50 students, 20 study English, 25 study Hindi, and 10 study both. How many students study only one language?

Options:

Correct Answer: 35

Solution:

The number of students studying only one language is: (20 - 10) + (25 - 10) = 35.

In a class of 50 students, 20 study English, 25 study Hindi, and 10 study both. How many students study only one language?

In a class of 50 students, 20 study English, 25 study Hindi, and 10 study both. How many students study only one language?

Step 1: Identify the number of students studying English. This is 20 students.
Step 2: Identify the number of students studying Hindi. This is 25 students.
Step 3: Identify the number of students studying both languages. This is 10 students.
Step 4: Calculate the number of students studying only English. This is 20 (English) - 10 (both) = 10 students.
Step 5: Calculate the number of students studying only Hindi. This is 25 (Hindi) - 10 (both) = 15 students.
Step 6: Add the number of students studying only English and only Hindi. This is 10 (only English) + 15 (only Hindi) = 25 students.

Set Theory – Understanding the relationships between different groups, specifically using the principle of inclusion-exclusion to find the number of students studying only one language.
Venn Diagrams – Visualizing the overlap between groups to better understand how many students belong to each category.