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 Brothers Karsakov (Posted on 2006-02-14)
On each of the last five nights, a Karsakov brother played Chess against a different Grand Master. Each brother won a different number of games, from one to five. When questioned on Saturday morning, the brothers gave the following answers.

A. "Nikolai played last night" said Boris. "Grand Master Markovich lost 4 games on Wednesday night."
B. "Rubbish!", screamed Victor. "It was the next night that Markovich lost 3 games. My opponent was Grand Master Karsokovich."
C. "I think you will find," interrupted Alexis, "That it was I who took on Markovich. I can't remember how many games I won but I know it was 2 more than my brother Vladimir. Boris played against Grand Master Ivanovich the night before I played. And Tuesday my Karsokov brother could only win 1 game."
D. "Alexis you are not being honest," said Nikolai. On Thursday night my brother won four games. I won 2 more games than Boris but not against Grand Master Grigorovich."
E. "Alexis," chimed in Vladimir, "Your words are false as always. And it was Grand Master Petrovich who played on Thursday."

Each brother is either a consistent truth teller or a total liar.
On what night did each of the brothers play, who was their Grand Master opponent and how many games did each brother win.

 No Solution Yet Submitted by Vernon Lewis Rating: 3.7143 (7 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 re: I think this is it | Comment 18 of 27 |
(In reply to I think this is it by Diana)

I have reached the same conclusion as Diana.

Lemmings' early solution was almost correct except that he had swapped wins for Victor and Vladimir.  As Alexis, a truth-sayer, stated he had two more wins than Vladimir and he, Alexis, had 4 wins, Vladimir must have had the 2 wins and Vladimir then would have had the 3 wins.

 Posted by Dej Mar on 2006-03-01 21:36:36

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