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In a class of 80 students, 50 like English, 30 like Hindi, and 10 like both. How

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Question: In a class of 80 students, 50 like English, 30 like Hindi, and 10 like both. How many students like only Hindi?

Options:

  1. 20
  2. 30
  3. 10
  4. 40

Correct Answer: 20

Solution:

The number of students who like only Hindi is 30 - 10 = 20.

In a class of 80 students, 50 like English, 30 like Hindi, and 10 like both. How

Practice Questions

Q1
In a class of 80 students, 50 like English, 30 like Hindi, and 10 like both. How many students like only Hindi?
  1. 20
  2. 30
  3. 10
  4. 40

Questions & Step-by-Step Solutions

In a class of 80 students, 50 like English, 30 like Hindi, and 10 like both. How many students like only Hindi?
  • Step 1: Identify the total number of students who like Hindi, which is 30.
  • Step 2: Identify the number of students who like both English and Hindi, which is 10.
  • Step 3: To find the number of students who like only Hindi, subtract the number of students who like both from the total number of students who like Hindi.
  • Step 4: Perform the calculation: 30 (students who like Hindi) - 10 (students who like both) = 20.
  • Step 5: Conclude that 20 students like only Hindi.
  • Set Theory – Understanding the relationships between different groups of students based on their preferences.
  • Venn Diagrams – Using Venn diagrams to visualize the overlap between students who like English, Hindi, and both.
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