Marrying The Princess Riddle
A king wants his daughter to marry the smartest of 3 extremely intelligent young princes, and so the king's wise men devised an intelligence test.
The princes are gathered into a room and seated, facing one another, and are shown 2 black hats and 3 white hats. They are blindfolded, and 1 hat is placed on each of their heads, with the remaining hats hidden in a different room.
The king tells them that the first prince to deduce the color of his hat without removing it or looking at it will marry his daughter. A wrong guess will mean death. The blindfolds are then removed.
You are one of the princes. You see 2 white hats on the other prince's heads. After some time you realize that the other prince's are unable to deduce the color of their hat, or are unwilling to guess. What color is your hat?
The princes are gathered into a room and seated, facing one another, and are shown 2 black hats and 3 white hats. They are blindfolded, and 1 hat is placed on each of their heads, with the remaining hats hidden in a different room.
The king tells them that the first prince to deduce the color of his hat without removing it or looking at it will marry his daughter. A wrong guess will mean death. The blindfolds are then removed.
You are one of the princes. You see 2 white hats on the other prince's heads. After some time you realize that the other prince's are unable to deduce the color of their hat, or are unwilling to guess. What color is your hat?
Hint: You know that your competitors are very intelligent and want nothing more than to marry the princess. You also know that the king is a man of his word, and he has said that the test is a fair test of intelligence and bravery.
Answer: White.
The king would not select two white hats and one black hat. This would mean two princes would see one black hat and one white hat. You would be at a disadvantage if you were the only prince wearing a black hat.
If you were wearing the black hat, it would not take long for one of the other princes to deduce he was wearing a white hat.
If an intelligent prince saw a white hat and a black hat, he would eventually realize that the king would never select two black hats and one white hat. Any prince seeing two black hats would instantly know he was wearing a white hat. Therefore if a prince can see one black hat, he can work out he is wearing white.
Therefore the only fair test is for all three princes to be wearing white hats. After waiting some time just to be sure, you can safely assert you are wearing a white hat. Did you answer this riddle correctly?
YES NO
The king would not select two white hats and one black hat. This would mean two princes would see one black hat and one white hat. You would be at a disadvantage if you were the only prince wearing a black hat.
If you were wearing the black hat, it would not take long for one of the other princes to deduce he was wearing a white hat.
If an intelligent prince saw a white hat and a black hat, he would eventually realize that the king would never select two black hats and one white hat. Any prince seeing two black hats would instantly know he was wearing a white hat. Therefore if a prince can see one black hat, he can work out he is wearing white.
Therefore the only fair test is for all three princes to be wearing white hats. After waiting some time just to be sure, you can safely assert you are wearing a white hat. Did you answer this riddle correctly?
YES NO
The Locked Away Princess Riddle
A princess was locked in a tower with four yards of pure brick for the ceiling, floors, and walls. There were no windows or doors at all, no way to get out.
She turned the knob to take a bath. When she notices the tub getting full, she tried to turn the knob, but it's stuck!
How does she avoid drowning?
She turned the knob to take a bath. When she notices the tub getting full, she tried to turn the knob, but it's stuck!
How does she avoid drowning?
Hint:
BBQ Love Riddle
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Lost Wolf Riddle
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A Load Of Wood Riddle
On my way home the other day, I met with a load of wood that was neither straight nor crooked. What kind of wood was it?
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Losing A New York Bet
You are hanging around in NYC when a person approaches you.
"Leaving the bald people aside, I can bet a hundred bucks that there are two people living in NYC who have same number of hairs on their heads," he says to you.
You say that you will take the bet. After talking to the man for a couple of minutes, you realize that you have lost the bet.
What did the person say to you that proved his statement ?
"Leaving the bald people aside, I can bet a hundred bucks that there are two people living in NYC who have same number of hairs on their heads," he says to you.
You say that you will take the bet. After talking to the man for a couple of minutes, you realize that you have lost the bet.
What did the person say to you that proved his statement ?
Hint:
This problem can be best solved using the pigeonhole principle.
The argument will go like this:
Assume that all the non-bald people in NYC have different number of hairs on their head. The population is about 9 million and let us assume that there are 8 million among them who are not bald.
Now, those 8 million people need to have different number of hairs. On an average, people have just 100, 000 hairs on their head. If we keep on assuming that there is someone with just one hair, someone with two, someone with three and so on, there will be 7, 900, 00 other people left who will have more than 100, 000 hairs on their head and need different number of hairs.
Now, as per this assumption, if we keep increasing one hair for each person, to make everybody hair different in numbers, we will come across someone with 8, 000, 000 hairs. But that is practically impossible (even 1, 000, 000 is impossible). Thus there must be two people who are having same number of hairs. Did you answer this riddle correctly?
YES NO
The argument will go like this:
Assume that all the non-bald people in NYC have different number of hairs on their head. The population is about 9 million and let us assume that there are 8 million among them who are not bald.
Now, those 8 million people need to have different number of hairs. On an average, people have just 100, 000 hairs on their head. If we keep on assuming that there is someone with just one hair, someone with two, someone with three and so on, there will be 7, 900, 00 other people left who will have more than 100, 000 hairs on their head and need different number of hairs.
Now, as per this assumption, if we keep increasing one hair for each person, to make everybody hair different in numbers, we will come across someone with 8, 000, 000 hairs. But that is practically impossible (even 1, 000, 000 is impossible). Thus there must be two people who are having same number of hairs. Did you answer this riddle correctly?
YES NO
In Love With A Boxer Riddle
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The Fear Of Losing Riddle
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Lost Head Riddle
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As Long As Its Value Riddle
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King Octopus Riddle
King Octopus has servants with six, seven, or eight legs. The servants with seven legs always lie, but the servants with either six or eight legs always say the truth.
One day, 4 servants met:
The blue one says: Altogether we have 28 legs;
The green one says: Altogether we have 27 legs;
The yellow one says: Altogether we have 26 legs;
The red one says: Altogether we have 25 legs.
What is the color of the servant that is speaking the truth?
One day, 4 servants met:
The blue one says: Altogether we have 28 legs;
The green one says: Altogether we have 27 legs;
The yellow one says: Altogether we have 26 legs;
The red one says: Altogether we have 25 legs.
What is the color of the servant that is speaking the truth?
Hint:
The green one is telling the truth.
Lets assume that one of them is telling the truth and then try to prove that. Since all four servants are disagreeing then 3 of them must be lying.
The servant telling the truth will have either 6 or 8 legs. The other 3 servants will have 7 legs since they lie. So the total number of legs should be either 27 (6 + 7 + 7 + 7) legs or 29 (8 + 7 + 7 +7) legs. Only green servant could be telling the truth as it said 27 legs.
Alternatively, lets say blue is telling the truth: so the blue one has either 6 or 8 legs. And each of the other octopuses are lying hence have 7 legs each. So our total number of legs: 6 + 7 + 7 + 7 = 27 legs or 8 + 7 + 7 + 7 = 29 legs. But since blue said that altogether they have 28 legs, we know he is lying.
If you follow this same logic for all of them, you realize that only the green octopus can be telling the truth as the number of legs adds up. Did you answer this riddle correctly?
YES NO
Lets assume that one of them is telling the truth and then try to prove that. Since all four servants are disagreeing then 3 of them must be lying.
The servant telling the truth will have either 6 or 8 legs. The other 3 servants will have 7 legs since they lie. So the total number of legs should be either 27 (6 + 7 + 7 + 7) legs or 29 (8 + 7 + 7 +7) legs. Only green servant could be telling the truth as it said 27 legs.
Alternatively, lets say blue is telling the truth: so the blue one has either 6 or 8 legs. And each of the other octopuses are lying hence have 7 legs each. So our total number of legs: 6 + 7 + 7 + 7 = 27 legs or 8 + 7 + 7 + 7 = 29 legs. But since blue said that altogether they have 28 legs, we know he is lying.
If you follow this same logic for all of them, you realize that only the green octopus can be telling the truth as the number of legs adds up. Did you answer this riddle correctly?
YES NO
Four Days Of School Riddle
A student has missed an excessive number of days at school and thus the principal called him to his office and requested for an explanation.
The student said, There just isnt enough time for school. I need 8 hours of sleep a day, which adds up to about 122 days a year. Weekends off is 104 days a year. Summer vacation is about 60 days. If I spend about an hour on each meal, thats 3 hours a day or 45 days a year. I need at least 2 hours of exercise and relaxation time each day to stay physically and mentally fit, adding another 30 days.
Add all of that up and you get about 361 days. That only leaves 4 days for school.
The principal is confused, but cant figure out why. What is wrong with the students argument?
The student said, There just isnt enough time for school. I need 8 hours of sleep a day, which adds up to about 122 days a year. Weekends off is 104 days a year. Summer vacation is about 60 days. If I spend about an hour on each meal, thats 3 hours a day or 45 days a year. I need at least 2 hours of exercise and relaxation time each day to stay physically and mentally fit, adding another 30 days.
Add all of that up and you get about 361 days. That only leaves 4 days for school.
The principal is confused, but cant figure out why. What is wrong with the students argument?
Hint:
The student is double counting a lot of the days. A lot of the time spent sleeping, eating, and relaxing occurs during weekends and the summer. Weekends also occur during the summer, so all of these hours are getting counted several times.
And, school is not an all day affair. So the 4 days actually represents more days of school. If school is 6 hours per day, those four days represents 16 days of school. Did you answer this riddle correctly?
YES NO
And, school is not an all day affair. So the 4 days actually represents more days of school. If school is 6 hours per day, those four days represents 16 days of school. Did you answer this riddle correctly?
YES NO
The Pet Shop Parrot
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This House Holds Rooms Riddle
This house holds rooms, one score and six, that shelter a vast mob.
It lets lions lie down with the lambs, Yet makes both shun the slob.
None now will nestle with nicks and nates, While reams room near the rear.
Though you and I have separate rooms. Both our bottles brim with beer. The king and queen can never mate (Though hands and hearts hobnob). Because their rooms are separate. If this jail does its job. What house is this that rules thus
Forcing faith to fend with fear? The answer to this riddle lies, with dead and dying here.
It lets lions lie down with the lambs, Yet makes both shun the slob.
None now will nestle with nicks and nates, While reams room near the rear.
Though you and I have separate rooms. Both our bottles brim with beer. The king and queen can never mate (Though hands and hearts hobnob). Because their rooms are separate. If this jail does its job. What house is this that rules thus
Forcing faith to fend with fear? The answer to this riddle lies, with dead and dying here.
Hint:
The Locked Cemetery Riddle
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