# Question 4

## Question 4

After coming out of his town, Tintin goes to Al Capone’s to gather more followers to assist him in his revolution.

Question 4:

Al Capone and his (n-1) friends are sitting in a circular fashion when Tintin meets him(Total of n people). Each of them owns a coin. First person passes 1 coin to the person sitting on his left side. The second person in turn passes 2 coins to the person sitting on the left. Third person passes 1 coin to the left, 4th passes 2 coin to his left and so on. So each person receiving 1 coin from the right has to pass 2 coins to the left. Similarly, a person receiving 2 coins from the right has to pass 1 coin to the left. If at any point of time, a person runs out of coin he is thrown out of the game. The game will terminate if at the end only 1 person is left with all the coins in his possession. There might be values of n where the game may not terminate e.g. 3 persons left with 4 4 4 coins respectively. For how many different values of n from 4 to 100 does the game terminate?

(a) 16 (b) 7 (c) 10 (d) 46

Question 4:

Al Capone and his (n-1) friends are sitting in a circular fashion when Tintin meets him(Total of n people). Each of them owns a coin. First person passes 1 coin to the person sitting on his left side. The second person in turn passes 2 coins to the person sitting on the left. Third person passes 1 coin to the left, 4th passes 2 coin to his left and so on. So each person receiving 1 coin from the right has to pass 2 coins to the left. Similarly, a person receiving 2 coins from the right has to pass 1 coin to the left. If at any point of time, a person runs out of coin he is thrown out of the game. The game will terminate if at the end only 1 person is left with all the coins in his possession. There might be values of n where the game may not terminate e.g. 3 persons left with 4 4 4 coins respectively. For how many different values of n from 4 to 100 does the game terminate?

(a) 16 (b) 7 (c) 10 (d) 46

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## Re: Question 4

Answer keys are available on Technothlon downloads page.Type your score here accordingly.

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