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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)

 Subject Author Date Solution susy 2006-06-19 18:25:29 SOLUTION jeff 2006-05-30 09:51:46 re(2): Lets try this dallan 2006-03-16 22:59:32 re: Lets try this Diana 2006-03-14 16:58:38 Lets try this dallan 2006-03-12 01:53:42 Solution w/ Reasoning Trish 2006-03-06 00:05:58 My Solution -- Spoiler Keith Slutskin 2006-03-03 14:56:46 re: I thnk this is it... too Mike 2006-03-03 00:33:44 I thnk this is it... too Mike 2006-03-02 23:54:13 re: I think this is it Dej Mar 2006-03-01 21:36:36 re(2): I think this is it Diana 2006-02-26 13:03:39 re: I think this is it Christine 2006-02-26 00:22:24 I think this is it Diana 2006-02-25 10:50:31 re(5): Solution - spoiler Diana 2006-02-25 01:10:11 re(4): Solution - spoiler Diana Senechal 2006-02-24 22:43:29 solution? bridget 2006-02-24 19:32:25 No Subject ethan thook 2006-02-22 08:29:35 re(3): Solution - spoiler Vernon Lewis 2006-02-19 22:05:20 re(2): Solution - spoiler Sara 2006-02-19 20:44:45 re: Solution - spoiler Magda 2006-02-19 19:23:41 Solution - spoiler Sara 2006-02-18 23:21:40 re: Solution - Spoiler Magda 2006-02-18 20:37:50 re(2): Solution - Spoiler (Quibble) Leming 2006-02-16 13:36:15 re: Solution - Spoiler (Quibble) Steve Herman 2006-02-15 12:06:04 re: Solution - Spoiler Mindrod 2006-02-14 22:12:37 Solution - Spoiler Leming 2006-02-14 18:27:37 I don't think this is it Dustin 2006-02-14 16:36:08

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