In a class of 50 students, 25 study English, 20 study Hindi, and 5 study both. H

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Question: In a class of 50 students, 25 study English, 20 study Hindi, and 5 study both. How many students study only one language?

Options:

Correct Answer: 35

Solution:

The number of students studying only English is 25 - 5 = 20, and only Hindi is 20 - 5 = 15. Thus, total studying only one language is 20 + 15 = 35.

In a class of 50 students, 25 study English, 20 study Hindi, and 5 study both. How many students study only one language?

In a class of 50 students, 25 study English, 20 study Hindi, and 5 study both. How many students study only one language?

Step 1: Identify the number of students studying English, which is 25.
Step 2: Identify the number of students studying Hindi, which is 20.
Step 3: Identify the number of students studying both languages, which is 5.
Step 4: Calculate the number of students studying only English by subtracting the number of students studying both from those studying English: 25 - 5 = 20.
Step 5: Calculate the number of students studying only Hindi by subtracting the number of students studying both from those studying Hindi: 20 - 5 = 15.
Step 6: Add the number of students studying only English and only Hindi to find the total number of students studying only one language: 20 + 15 = 35.

Set Theory – Understanding the relationships between different groups (students studying different languages) and how to calculate the number of elements in each subset.
Venn Diagrams – Using Venn diagrams to visualize the overlap between students studying English and Hindi.