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In a class of 50 students, 30 study English, 20 study Hindi, and 10 study both.

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Question: In a class of 50 students, 30 study English, 20 study Hindi, and 10 study both. How many students study only Hindi?

Options:

  1. 10
  2. 20
  3. 30
  4. 15

Correct Answer: 10

Solution: 

Students who study only Hindi = Total Hindi students - Both English and Hindi students = 20 - 10 = 10.

In a class of 50 students, 30 study English, 20 study Hindi, and 10 study both.

Practice Questions

Q1
In a class of 50 students, 30 study English, 20 study Hindi, and 10 study both. How many students study only Hindi?
  1. 10
  2. 20
  3. 30
  4. 15

Questions & Step-by-Step Solutions

In a class of 50 students, 30 study English, 20 study Hindi, and 10 study both. How many students study only Hindi?
  • Step 1: Identify the total number of students studying Hindi, which is 20.
  • Step 2: Identify the number of students studying both English and Hindi, which is 10.
  • Step 3: To find the number of students studying only Hindi, subtract the number of students studying both from the total Hindi students: 20 - 10.
  • Step 4: Calculate the result: 20 - 10 = 10.
  • Step 5: Conclude that 10 students study only Hindi.
  • Set Theory – Understanding the relationships between different groups of students studying different languages.
  • Venn Diagrams – Using Venn diagrams to visualize the overlap between students studying English and Hindi.
  • Basic Arithmetic – Performing simple subtraction to find the number of students studying only one language.
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