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The Three Logicians - (Posted on 2003-01-22) Difficulty: 4 of 5
Here is a list of words:
  • HOE
  • OAR
  • PAD
  • TOE
  • VAT
(i) Each of the three logicians was told one letter of a certain word, so that each logician knew only one of the letters and so that no two logicians knew the same letter.

(ii) The logicians were then told their three letters could be arranged to spell one of the words in the list above.

(iii) When each logician was asked in turn, “Do you know which word the letters spell?,” the first logician answered, “Yes,” then the second logician answered, “Yes,” and then the third logician answered, “Yes”.

Which word did the letters spell?

See The Solution Submitted by Ravi Raja    
Rating: 4.1429 (21 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Only one of three solutions valid | Comment 9 of 12 |
As PAD (in the sequence P-D-A or D-P-A) and HOE (in the sequence H-E-O) and VAT (in the sequence (V-T-A) all SEEM to work, we see that PAD and VAT cannot, as the final logician, looking at an A wouldn't be able to decide if the first two had seen P and D or V and T, and so would not know the word. That leaves HOE as the answer.

  Posted by Charlie on 2003-01-29 04:50:22
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