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Christmas Tree


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#1 rookie1ja

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Posted 30 March 2007 - 04:12 PM

Christmas Tree - Back to the Logic Puzzles
Four angels sat on the Christmas tree amidst other ornaments. Two had blue halos and two – yellow. However, none of them could see above his head. Angel A sat on the top branch and could see the angels B and C, who sat below him. Angel B, could see angel C who sat on the lower branch. And angel D stood at the base of the tree obscured from view by a thicket of branches, so no one could see him and he could not see anyone either.
Which one of them could be the first to guess the color of his halo and speak it out loud for all other angels to hear?

This old topic is locked since it was answered many times. You can check solution in the Spoiler below.
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Spoiler for old wording

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#2 qazqaz

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Posted 28 April 2007 - 08:51 PM

what about a lucky guess
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#3 Incognitum

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Posted 22 June 2007 - 01:19 PM

what about a lucky guess



A lucky guess is to a logic puzzle as a Cuisinart is to a jigsaw puzzle; Yes, it's quicker, and at the end all the pieces fit together nicely, but it's not something you really want to spend your time looking at.
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#4 axmillia

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Posted 28 June 2007 - 07:12 PM


what about a lucky guess



A lucky guess is to a logic puzzle as a Cuisinart is to a jigsaw puzzle; Yes, it's quicker, and at the end all the pieces fit together nicely, but it's not something you really want to spend your time looking at.



Nice analogy(sp?).
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#5 anuraag

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Posted 30 June 2007 - 09:56 PM

If A does not speak out, B will be able to guess that his aureole is he colour other than that of C.
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#6 csharpner

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Posted 11 July 2007 - 07:04 PM

The wording should be changed to say that the Angels actually speak their guess out loud. I read "guess" as "silently figuring it out" because "guess" is an internal thought process, at which point I concluded that A was the only one with any hope of figuring out his own color and only when B&C have the same colors as each other.

So, when a guess IS possible, it's only A that can do it... unless the wording is changed.
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#7 RMW

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Posted 19 July 2007 - 05:09 PM

what's the point of D
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#8 twittbrod

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Posted 31 July 2007 - 11:06 PM

The wording should be changed to say that the Angels actually speak their guess out loud. I read "guess" as "silently figuring it out" because "guess" is an internal thought process, at which point I concluded that A was the only one with any hope of figuring out his own color and only when B&C have the same colors as each other.

So, when a guess IS possible, it's only A that can do it... unless the wording is changed.




Not to mention that previous posts (and the nature of a logic puzzle) dictate that they're not actually guessing.
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#9 SPENGLER

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Posted 09 September 2007 - 08:12 PM

what's the point of D


to be lonely, and to use up the 4th colour allowing A,B,C to be unsure. it would be the same as saying that there are four aureole's, and only 3 angels.
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#10 nhales

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Posted 17 September 2007 - 05:18 PM

The wording should be changed to say that the Angels actually speak their guess out loud. I read "guess" as "silently figuring it out" because "guess" is an internal thought process, at which point I concluded that A was the only one with any hope of figuring out his own color and only when B&C have the same colors as each other.

So, when a guess IS possible, it's only A that can do it... unless the wording is changed.



That's exactly what I was thinking. At first I thought that "logically" the only angel with a chance in hell of making a guess was A. I didn't realize they were having a competition to see who came up with the answer first and therefore saying the guess aloud. But then again, I've never had a speaking angel on my tree either.
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