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If there are 12 people sitting in a circle and every second person is eliminated

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Question: If there are 12 people sitting in a circle and every second person is eliminated, how many will remain after one complete round?

Options:

  1. 6
  2. 5
  3. 4
  4. 3

Correct Answer: 6

Solution:

After eliminating every second person, 6 people will remain.

If there are 12 people sitting in a circle and every second person is eliminated

Practice Questions

Q1
If there are 12 people sitting in a circle and every second person is eliminated, how many will remain after one complete round?
  1. 6
  2. 5
  3. 4
  4. 3

Questions & Step-by-Step Solutions

If there are 12 people sitting in a circle and every second person is eliminated, how many will remain after one complete round?
  • Step 1: Start with 12 people sitting in a circle, numbered from 1 to 12.
  • Step 2: Identify every second person to eliminate. This means you will eliminate person 2, 4, 6, 8, 10, and 12.
  • Step 3: After eliminating these people, the remaining people are 1, 3, 5, 7, 9, and 11.
  • Step 4: Count the remaining people. There are 6 people left.
  • Circular Elimination – Understanding the process of eliminating every second person in a circular arrangement.
  • Counting and Pattern Recognition – Recognizing the pattern of elimination and counting the remaining individuals.
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