Shooting Zone

Number Theory Level 3

100 people are sitting on a big round table such that (1,2),(2,3),...,(100,1) are next to each other. 1 has a gun with him. He shoots 2 and gives the gun to 3. 3 shoots 4 and passes gun to 5 (if 100 gets gun he will shoot the next living person). This continues till one person remains alive. Which person is alive?

  • eg. Answer 40 if 40 is alive.

Hint: Start with small number of person sitting on the table and solve that. You will get a pattern. Then solve this.

For part 2 Shooting Zone 2


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