Stick Games
(CAT 1990)
In a game played by two people there were initially N match sticks kept on the table. A move in the game consists of a player removing either one or two matchsticks from the table. The one who takes the last matchstick loses. Players make moves alternately. The player who will make the first move is A. The other player is B.
1. The smallest value of N (greater than 5) that ensures a win for B is
(a) 7
(b) 6
(c) 10
(d) 8
2. The largest value of N (less than 50) that ensures a win for B is
(a). 46
(b) 47
(c) 48
(d) 49
In a game played by two people there were initially N match sticks kept on the table. A move in the game consists of a player removing either one or two matchsticks from the table. The one who takes the last matchstick loses. Players make moves alternately. The player who will make the first move is A. The other player is B.
1. The smallest value of N (greater than 5) that ensures a win for B is
(a) 7
(b) 6
(c) 10
(d) 8
2. The largest value of N (less than 50) that ensures a win for B is
(a). 46
(b) 47
(c) 48
(d) 49
For the answers click here.
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