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In a class of 80 students, 45 study English, 35 study Hindi, and 20 study both.

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Question: In a class of 80 students, 45 study English, 35 study Hindi, and 20 study both. How many study only Hindi?

Options:

  1. 15
  2. 20
  3. 10
  4. 5

Correct Answer: 15

Solution:

The number of students who study only Hindi is 35 - 20 = 15.

In a class of 80 students, 45 study English, 35 study Hindi, and 20 study both.

Practice Questions

Q1
In a class of 80 students, 45 study English, 35 study Hindi, and 20 study both. How many study only Hindi?
  1. 15
  2. 20
  3. 10
  4. 5

Questions & Step-by-Step Solutions

In a class of 80 students, 45 study English, 35 study Hindi, and 20 study both. How many study only Hindi?
  • Step 1: Identify the total number of students studying Hindi, which is 35.
  • 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 studying Hindi: 35 - 20.
  • Step 4: Calculate the result: 35 - 20 = 15.
  • Step 5: Therefore, the number of students who study only Hindi is 15.
  • 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, Hindi, and both.
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