Sachin and Sourav are playing a game where they pick up coins alternatively from the coins kept on a table. The rules of the game say that
--Each person has to pick up at least one coin in his turn.
--No person can pick up more than 6 coins in each turn.
The person who picks up the last coin from the table is the loser and the other person is winner.
Q1. If at some stage of the game there are 16 coins on table, and it is Sachin’s turn to pick up the coins, how many should he pick up to come up to his win irrespective of what Sourav does in later steps?
a. 1 b. 2 c. 3 d. 4 Q2. Some time during the game when it was Sachin’s turn, there were 38 coins on the table. Without Sachin’s realizing it, Sourav wanted to surreptitiously remove some coins from the table. How many coins should he remove to ensure his own win irrespective of what moves Sachin makes later?
a. 4 b. 3 c. 2 d. 1
Q3. what is the least number of coins greater than 20 at the beginning of the game to ensure a win for Sachin if Sourav makes the first move?
a. 22 b. 24 c. 25 d. 26 Q4. If the rules of the game are changed such that the person clearing the table wins the game, the other rules remaining the same how many coins should Sachin pick up when it is his turn to ensure a win for himself given that there are 18 coins on the table?
a. 3 b. 4 c. 5 d. It is not possible for Sachin to win
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Q1
ans: (a) 1
Q2
ans: (c) 2
Q3
ans: (a) 22
Q4
ans (b) 4
I am not sure of any of the above ans.
pls post the correct ans
thank u
shahid
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To win at SOURAV turn there should be 1 coin Left
To win Sachin Should have 2 - 7 coins in his turn
for 2 conis Sachin would pick 1 coin
for 3 conis Sachin would pick 2 coin
. . .
for 7 conis Sachin would pick 6 coin
So before that Sourav should have 8 coins so that what ever coins left sachin would pick in accordance to leave the last coin for Sourav to pick.
Proceed similarly as shown in left diagram and the answer is 1 (asn a)
Anyhow guys it took me more than 25 mins to draw the diagram and writing this post
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So SOURAV should remove 38 – 36 = 2 coins to win the game (ans c)
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As explained above the number of coins should be 22
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Answer is 4
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thanks for that logical xplanation.......
good presentation
Good PPT work! ! !
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