113. Where Must Dracula Be
There is one and only one Dracula
This Dracula is locked in three and only three caskets
One is solid red, one is solid yellow, one is solid blue
The caskets have inscriptions
Red says, Dracula is here (meaning inside the casket)
Yellow says, Dracula is not here (not inside the casket)
Blue says, Dracula is not in the red casket
At most one inscription is true
Where must Dracula be
Submitted by Logic_Newbie · Added 23 January 2013
Solution:
Dracula must be in the yellow casket. If the red casket's inscription is true, then Dracula is in the red casket, which would make the blue casket's inscription true as well, violating the rule that at most one inscription can be true. If the blue casket's inscription is true, then Dracula cannot be in the red casket, leaving the yellow casket as the only option where Dracula can be. Therefore, the only consistent scenario is that the yellow casket's inscription is false, confirming that Dracula is in the yellow casket.
Comments (8)
Yellow.
If at most one inscription is true, then either:
1. There are no TRUE statements
2. There is exactly one TRUE statement.
Inscription on the red and blue cannot be both true or both false, since one is negation of the other. ==> There is exactly one TRUE statement.
So either the inscription on the Red or Blue is true ==> Inscription on the Yellow one is false.
==> The dracula must be in Yellow.
Inscription on Red is FALSE;
Inscription on Yellow is FALSE
Inscription on Blue is TRUE
Basically, Dracula can only be in the blue one.
If we consider each statement true one by one, then only possible case with the given condition that is valid will be the one when the third incription is true.... Thus, the dracula is in the Yellow casket
RED
The Count is in the Yellow casket
He is in the Red casket which is inside the yellow casket which is in the blue casket.
yellow
Yellow
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