Published 14:12 IST, May 11th 2020

100 people standing in a circle riddle and its logical answer

100 people standing in a circle riddle is going viral on the internet for a while. Read on for the logic behind the 100 people standing in a circle riddle.

Reported by: Surabhi Sabat
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If you are one of those people who can't resist solving a puzzle, riddle or quiz as soon as you receive m on your WhatsApp, Twitter or Facebook, here is a "gun puzzle" for math geek in you. Check out answer to one such fun and viral riddle that is called "100 people standing in a circle" riddle/puzzle. 

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100 people standing in a circle riddle question

  • question states that re are 100 people standing in a circle
  • first person has a gun in his hand and he has to shoot second person and n pass gun to third person. Now, third person will kill  fourth person and gives gun to fifth person.
  • This process continues until re is only one person left.
  • Who will survive at end?

 

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100 people standing in a circle riddle answer

73rd person is alive.

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100 people standing in a circle answer explanation

If person 1 has a gun, he will kill next person i.e. number 2, gun will be n passed to next that is number 3.

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Round 1: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99


Round 2: 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57, 61, 65, 69, 73, 77, 81, 85, 89, 93, 97


Round 3: 1, 9, 17, 25, 33, 41, 49, 57, 65, 73, 81, 89, 97


Round 4: 9, 25, 41, 57, 73, 89


Round 5: 9, 41, 73


Round 6: 9, 73


Round 7: 73

  • In table written above, Round 1 shows number of people left after shooting next person.
  • process is thus completed in 7 rounds wherein 7th round only one person is left.
  • This is how out of 100 people standing in a circle, person who stands in 73rd position survives till end. 

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Promo Image courtesy: Margarida CSilva on Unsplash

14:12 IST, May 11th 2020