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Home > Logic > Liars and Knights
Running Race (Posted on 2012-01-31) Difficulty: 2 of 5
In a remote island, three people Abe, Ben and Cal took part in a running race. They belong to three different types: Knights, who always tell the truth; Liars who always lie and, Knaves who alternatively tell a truth or lie. It is known that precisely one of Abe, Ben and Cal is a knight, precisely one of them is a liar and the remaining is a knave. It is also known that there was precisely one person who reached the first position in the said race.

Following are some statements made by them:

Abe
1. I would have won the race if Cal had not come in my way to restrain me in the final part.
2. Cal won the race.

Ben
1. I won the race.
2. Cal came in Abe’s way, to restrain him from winning the race.

Cal
1. Ben won the race.
2. I did not come in Abe’s way, to restrain him from winning the race.

Find the types each of the three men belong to. Who won the race?

No Solution Yet Submitted by K Sengupta    
Rating: 4.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionTWO solutionsDej Mar2013-04-13 10:46:45
re: three solutions?scott2013-04-12 12:56:00
Solutiondilemmahoodat2012-02-02 07:54:45
three solutions?Dej Mar2012-02-01 06:03:18
Solutiontwo solutions?Charlie2012-01-31 13:49:36
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