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Hillside Shepherds (Posted on 2012-07-10) Difficulty: 3 of 5
In every group of shepherds in a certain island, at least one is a knight, who always speaks truthfully, and at least one is a liar, who always speaks falsely.

A visitor approached four shepherds (denoted by A, B, C and D) on a hillside and asked each how many of the four were knights. These answers were given:

A: Three of us are knights.
B: One of us is a knight.
C: Two of us are knights.
D: None of us is a knight.

The visitor approached four more shepherds on another hillside (denoted by E, F, G and H) and asked how many were liars. Their answers follow:

E: We are all liars.
F: One of us is a liar.
G: Three of us are liars.
Shepherd H declined to speak.

How many of the shepherds on each of the two hillsides were knights?

No Solution Yet Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionEasier than D3Math Man2012-07-12 11:47:59
SolutionThe Silence of Mr. HSyzygy2012-07-11 02:28:37
SolutionEasy as A, B, C, D (spoiler)Steve Herman2012-07-10 13:36:22
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