[rookie1ja]

Pandora's Box II. - Back to the Logic Problems
And here is the second test. At least one inscription is true and at least one is false. Which means the ring is in the...

Golden box
The ring is not in the silver box.

Silver box
The ring is not in this box.

Lead box
The ring is in this box.

Spoiler for Solution:

Pandora's Box II. - solution
The ring must be in the golden box, otherwise all the inscriptions would be either true or false.

[fosley]

It is possible that it's in none of the boxes (I just mention this since I brought it up in Pandora's Box I).

-------------------------------------------------------------------------
|		 | Lead	   | Silver		 | Gold			| Total	   |
|		 | Ring here  | Ring not here  | Ring not silver | True/False  |
|---------+------------+----------------+-----------------+-------------|
| Gold	|	 F	  |	   T		|		T		|	 2/1	 |
|---------+------------+----------------+-----------------+-------------|
| Silver  |	 F	  |	   F		|		F		|	 0/3	 |
|---------+------------+----------------+-----------------+-------------|
| Lead	|	 T	  |	   T		|		T		|	 3/0	 |
|---------+------------+----------------+-----------------+-------------|
| None	|	 F	  |	   T		|		T		|	 1/2	 |
|-----------------------------------------------------------------------|

[rookie1ja]

Quote

It is possible that it's in none of the boxes (I just mention this since I brought it up in Pandora's Box I)

Whereas, I have some doubts about your solution in Pandora's Box I (check my comment), here it seems that none is indeed an option.

[Wordblind]

Quote

It is possible that it's in none of the boxes (I just mention this since I brought it up in Pandora's Box I).

Sure, if we want to think "outside the box," I could say it is in the lead box(T), which is inside the silver box(F), which is inside the gold box(F), but that would be silly. The original instructions said:

Quote

Based upon the inscriptions on the boxes (none or just one of them is true), choose one box where the wedding ring is hidden.

[radhikaraj]

It is Possible that the ring is in none of these boxes but if it is any of the boxes then it is Golden Box.

Let us logically analyze each one of these inscriptions
Case one : Ring in the Lead Box
then ==> the Golden Box's inscription would be true ,
the silver Box's inscription would be true and so would that of the Lead Box.

However it is mentioned that 'at least one inscription is true and one is false ', so it cannot be the lead box as all the inscriptions turn out to be true.

Case two : Ring in the Silver Box
then == > the Golden Box's inscription would be false , the siver box's inscription false and the one for the Lead Box also be false.

Following the same logic as applied for the previous case as all the incsriptions can't be false , the ring is not in the Silver Box.

So the ring is in the Golden Box as in this case , the inscriptions on the Golden and Silver Box will be true and that of the Lead Box box will be false . This would be in cord with the condition that 'at least one inscription is true and one is false '

[bonanova]

The inscriptions on Gold and Silver agree, so they must have the same truth value.
By conditions of the problem, Lead has the opposite truth value.

Gold and Silver False means
[1] Ring is in Silver
[2] Lead is true -> Ring is in Lead.
Contradiction

Gold and Silver True means
[1] Ring is in Gold or Lead
[2] Lead is false -> Ring is not in Lead.
Ring is in gold box.

[qwertyuiop]

I think it is the lead box.

[sk8rkat]

qwertyuiop, on Feb 14 2008, 07:49 PM, said:

I think it is the lead box.

o o ! i dont kno!

[TwoaDay]

i think its gold but i may be wrong and it may be none

[TwoaDay]

wow, i was right, i just went throught the possible combinations and t-t-f worked making the golden box the answer