I like riddles, puzzles and brain twisters. Do you?
If yes, I’ll get this thread rolling:
First, a classic:
What is greater than God,
And more evil than the Devil?
The rich need it,
And the poor have it.
If you eat it, you die.
Next, the light bulb problem.
You are in a closed facility that consists of three, windowless rooms. The first room has three light switches, labeled A, B and C. The second room is a small corridor, which serves as a pressurization chamber between the first and third rooms. The third room is empty save for three incandescent light bulbs hanging from a low ceiling. These bulbs are labeled 1, 2 and 3 and are connected to the switches in the first room, but which switch connects which bulb is unknown. The bulbs in the third room are not turned on (The switches start in the off position). There is no way to see room 1 from room 3 and no way to see room 3 from room 1.
You start out in the first room and may flip the three switches in any manner you see fit, and may stay in this room as long as you feel necessary. Once you enter the pressure chamber, you cannot return to the first room; you may only proceed to the third room.
Given these rules, how can you determine which switch connects to which light bulb?
[color=white]First, flip switches A and B to the on position and wait ten minutes. Turn off switch B and quickly proceed to the third room. Whichever light is still on connects to switch A, as that is the switch you left on. Now feel each of the remaining light bulbs. The warm light bulb connects to switch B, which you had left on for ten minutes. The cold light bulb connects to switch C, since you never turned it on. [/color]
Next, a Little Late.
A man is sitting at a desk, with a light bulb hanging from the ceiling. Suddenly, a man bursts into the room waving an envelope and the light bulb flickers. The man sitting at the desk sighs and says, “You’re too late.” The man who had just entered the room sulks, and throws the envelope into the trash can. He leaves the room. What was in the envelope?
[color=white]A pardon from the governor being delivered to a prison warden. The flickering lights indicate that an execution by electric chair had just taken place. Too bad for the prisoner![/color]
Now, the Prince’s Crown
A king is about to die and he must bestow his kingdom upon one of his three sons. He gathers his sons in a chamber and says, “My sons, my time to die is almost here and I must pass my crown to one of you. You have all proved yourself to be fine leaders, but I have one final test which you must pass to assume my throne. This is a test of wisdom. To rule this land, you must know your crown.”
The king then has his sons blindfolded and has a crown placed on each of their heads. Each crown has a jewel placed in it that is visible to those who gaze upon it, but above the view of the person wearing it.
The king then says to his sons, “Each of you now wears a crown with a jewel in it. The crown either has a blue sapphire or possibly a red ruby. One of you has a blue sapphire, but beyond that, the three crowns may have any combination.”
“Three sapphire crowns, and no ruby crowns.”
“Two sapphire crowns and one ruby crown.”
“or a sapphire crown and two ruby crowns.”
“Obviously, you cannot see your own jewel, so you must rely on wisdom to determine which jewel you possess. If you guess incorrectly, then you are a shame to your country and will be executed. You have one hour. If you do not guess before then, you will be banished, and I will find a new heir.”
The king then orders his sons to remove the blindfolds and the princes stand stunned, having to complete an impossible task. How to guess the jewel on their own head, with only one clue? One of the crowns must contain a sapphire.
After a few minutes of silence and nervous glances at each others’ crowns, one of the princes looks into one of his brothers’ eyes and yells, “Mine is the blue sapphire!”
The king congratulates his son, and new King. How did the prince figure this test out?
Hint: He did not look into the reflection of his brothers’ eyes and there are no mirrors
[color=white] Let’s take this step by step.
Obviously, the princes have no way of physically seeing their own jewel, but their reactions to the riddle would provide the necessary evidence to win the challenge.
Let’s take the easy case: A sapphire and two rubies. Two of the princes would see a ruby and a sapphire and therefore be confused and not speak. The third prince would see two rubies and immediately claim to have the sapphire, as the rules state that there are not three ruby crowns.
Now, the more difficult case: Two sapphires and one ruby. The prince wearing the ruby would see two sapphires, and therefore be uncertain if he wore the third sapphire or the only ruby. Now, the two other princes see a ruby and a sapphire, and at first are unsure whether or not they have a sapphire or a ruby. Impasse, right?
Almost. Let’s say A has the ruby, and B and C have sapphires.
B knows A has a ruby and C has a sapphire.
B also knows that if B has a ruby, C would immediately claim to have the sapphire. (because there can only be a maximum of two rubies)
Therefore, B knows that if C is quiet, then C is uncertain, because he also sees a sapphire and a ruby.
Which means B knows that B has a sapphire,
And he can claim as such.
In this case, both B and C are capable of winning.
In the last case, there are three sapphires and no rubies.
This case is a situation in which the proceeding two cases come together.
A, B and C all have sapphires.
A knows that B and C have sapphires.
A knows that B and C are silent, meaning each of them only sees blue sapphires.
A knows that the only case in which everyone is silent, is when everyone is unsure as to whether or not they have the ruby.
Since all of them are silent, none of them have rubies.
A, B or C can all win, by claiming to have sapphires.
The winner of the game is the one who can understand both the rules of the game as well as its players.
The last one still confuses me a bit, but it might be a good way to stretch your brains a bit.
Edit: Ok, the crown one has been edited for clarification. There are three sons, and three crowns. Each crown has one stone. At least one crown has a sapphire, yielding three crown possibilities.
I'm looking forward to some Goodjer riddles!