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We will be solving interesting sets as a part of this series LRDI of the Day. I will be posting a video solution by the end of the day. You can keep a track of all the sets by clicking here: LRDI of the Day

#LRDIoftheDay #21

Two players X and Y are playing a game of coins. Any player can pick 2, 3, 4, 5 or six coins in his turn. The player who picks the last coin always wins. If per chance their remains one coin for a person before his turn, then the game ends in a draw. While answering every question you will assume that each person is rational, intelligent and will always try to win the game.

1. If there are 70 coins in all and X starts the game, what should he pick in order to ensure a win always?

a. 6

b. 2

c. 4

d. He can never win

2. If Y starts the game and there are 32 coins. What should he pick in order to ensure win, irrespective of whatever strategy X applies?

a. 4

b. 6

c. 3

d. He can never win

3. If there are 30 coins and its X’s turn, how many different possible number of coins he can pick so that he does not lose the game?

a. 1

b. 2

c. 3

d. 4

You may refer to the theory here in case you are not aware: http://learningroots.in/cat-and-omet/lrdi/a-game-of-sticks/

The solution

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