The Riddle Of Sphinx
Hint:
A person: ("Legs" is a metaphor for hands and knees in the first description and two legs and a cane in the last.) Did you answer this riddle correctly?
YES NO
YES NO
Grapeland To Applecity
You have to send 3,000 grapes 1,000 kilometers from grapecity to appleland. Your truck can carry 1,000 grapes at a time. Every time you travel a kilometer towards appleland you must pay a tax of 1 grape but you pay nothing when going in the other direction (towards grapecity).
What is highest number of grapes you can get to appleland?
What is highest number of grapes you can get to appleland?
Hint:
Step one: First you want to make 3 trips of 1,000 grapes 333 kilometers. You will be left with 2,001 grapes and 667 kilometers to go.
Step two: Next you want to take 2 trips of 1,000 grapes 500 kilometers. You will be left with 1,000 grapes and 167 kilometers to go (you have to leave a grape behind).
Step three: Finally, you travel the last 167 kilometers with one load of 1,000 grapes and are left with 833 grapes in appleland. Did you answer this riddle correctly?
YES NO
Step two: Next you want to take 2 trips of 1,000 grapes 500 kilometers. You will be left with 1,000 grapes and 167 kilometers to go (you have to leave a grape behind).
Step three: Finally, you travel the last 167 kilometers with one load of 1,000 grapes and are left with 833 grapes in appleland. Did you answer this riddle correctly?
YES NO
Captured By The Riddler
In the land of Geopolizza, three men were captured by the infamous Riddler. So, the Riddler buries the three men, named 1, 2 and 3 in such a manner, that 1 is in the front, 2 in the middle and 3 in the back. They are buried neck deep, and cannot move, not even their heads. He shows them 5 caps, two of which are red and 3 of them are white. He then switches off the lights and places a hat on top of their heads. The situation is such that no one can see their hat color, 1 is facing the wall and cant say anything, 2 can see 1 and 3 can see both 1 and 2. Then he tells the rules of his game: "If either of you three can tell the correct color of your head, I will let all of you go. However, if any of you answer wrong, all 3 of you will instantly die. Time is 3 minutes."
Upon 2 and half minutes passing, A shouts the answer and all 3 are released free. How did he know the correct answer ?
Upon 2 and half minutes passing, A shouts the answer and all 3 are released free. How did he know the correct answer ?
Hint:
P3 can only be certain of his cap if 1 & 2 are both white. Since he is not certain then 1 & 2 must be either white/red or red/red. 2 knows this but the only combination that he will be able to know the colour of his own cap is if he sees that 1 is wearing a white cap. 1 knows this but as 2 remains uncertain then 1 must be wearing a red cap. Did you answer this riddle correctly?
YES NO
YES NO
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
Dressed In Copper Riddle
I was a gift from the French, and stand tall on an island
I welcome visitors with a strong hand in the sky
I may be green, but I'm dressed in copper from head to toe
An iconic piece of New York history, with a famous face you definitely know
Who am I?
I welcome visitors with a strong hand in the sky
I may be green, but I'm dressed in copper from head to toe
An iconic piece of New York history, with a famous face you definitely know
Who am I?
Hint:
The Speed Of A Bee
Two bikes are traveling toward each other at a constant speed of 10 mph. When the bikes are 20 miles apart, a bee flies from the front wheel of one of the bikes toward the other bike at a constant speed of 25 mph. As soon as it reaches the front wheel of the other bike, it immediately turns around and flies at 25 mph toward the first bike. It continues this pattern until the two bikes smush the bee between the two front tires.
How far did the bee travel?
How far did the bee travel?
Hint:
25 miles.
The easiest way to think about this is to consider the time. The bikes will take 1 hour to touch, given that they start 20 miles apart and are each traveling toward each other at 10 mph.
Therefore the bee is buzzing back and forth at 25 mph for 1 hour. Did you answer this riddle correctly?
YES NO
The easiest way to think about this is to consider the time. The bikes will take 1 hour to touch, given that they start 20 miles apart and are each traveling toward each other at 10 mph.
Therefore the bee is buzzing back and forth at 25 mph for 1 hour. Did you answer this riddle correctly?
YES NO
The Speed Of A Hurricane
Hint:
Because if they traveled slowly, they'd be known as slow-i-canes. Did you answer this riddle correctly?
YES NO
YES NO
The Farmer In Australia
A farmer in Australia grows a beautiful pear tree, which he harvests to supply fruit to all the nearby grocery stores.
One of the store owners has called the farmer to see how much fruit is available that he can buy. Unfortunately the farmer isn't currently near the tree, so he has to work it out in his head.
He knows that the main trunk of the tree has 24 branches. That each branch has 12 boughs and that each bough has only got 6 twigs. Each one of these twigs bears one piece of fruit, so how many plums will he be able to sell to the store owner?
One of the store owners has called the farmer to see how much fruit is available that he can buy. Unfortunately the farmer isn't currently near the tree, so he has to work it out in his head.
He knows that the main trunk of the tree has 24 branches. That each branch has 12 boughs and that each bough has only got 6 twigs. Each one of these twigs bears one piece of fruit, so how many plums will he be able to sell to the store owner?
Hint:
None! He doesn't own a PLUM tree... he owns a PEAR trear! Did you answer this riddle correctly?
YES NO
YES NO
Accused Of Confusion Riddle
I make you frown and scratch your head, to find my solution will leave you mumbling. Many love me, many hate me and my nature's humbling. Fabled creatures sometimes use me, of confusion some accuse me. What am I?
Hint:
The 2 Barbershops
There is a small town on the East Coast that has 2 barbershops each with a single barber, and on opposite sides of town. The barbershop in the good part of town is immaculate. The floors and windows are washed and the air is fresh. The barber is very friendly, always smiling, he has shined shoes, a nice head of hair, and a clean dress shirt. The barbershop in the bad part of town is a mess. The entire barbershop is covered with a layer of dirt, and the air smells of trash. The barber always has a frown on his face. His skin is oily, his hair is ragged, and there are always stains visible on his shirt.
A man comes into town and hears of both barbershops and the man decides to go to the dirty barbershop in the bad part of town. Why does he do this?
A man comes into town and hears of both barbershops and the man decides to go to the dirty barbershop in the bad part of town. Why does he do this?
Hint:
The clean-cut barber must have his hair cut by the dirty barber and the dirty barber by the clean-cut barber. So its obvious that the dirty barber gives a better haircut. Did you answer this riddle correctly?
YES NO
YES NO
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
The Homicide Team Riddle
A homicide team enters a crime scene where a dead body of a fat old man lies there on the floor with blood oozing out of his head. The victim is holding a gun and a tape recorder lies there by his side. One of the detective picks up the recorder and plays it "I am tired of this life and hence I have decided to relieve myself from the worldly pains". A gunshot follows the message.
The teams starts investigating a murder investigation.
Why?
The teams starts investigating a murder investigation.
Why?
Hint:
If the man killed himself, he would not have been able to rewind the cassette. Thus it is clear someone else killed him. Did you answer this riddle correctly?
YES NO
YES NO
A Walk In The Desert Riddle
Four men walk into the desert. Suddenly all four are simultaneously knocked out. They awake buried to their heads in the sand unable to look anywhere but straight ahead. They are positioned so that each man sees another's head before him. However between the first and second man there is a separating wall.
So the first man sees only desert. The second man sees only wall. The third man sees another's head and a wall. The fourth man sees two heads and a wall. On top of each mans head is a hat. The underside of each cap is black, but the outside of each cap is either blue or white. Before any of the men can speak, their captors tell them if they speak, they die. However, if any of them can guess the color of their cap on the first try they go free. The captors tell them that there are two blue caps and two white caps.
Being an omniscient observer of the situation, we know that the order of the caps are: blue, white, blue, white. So knowing the perspective of each man in the sand, and that they can only see the color of caps/wall/desert in front of them, which of the four men knows for certain the color of his own cap. More importantly: why?
So the first man sees only desert. The second man sees only wall. The third man sees another's head and a wall. The fourth man sees two heads and a wall. On top of each mans head is a hat. The underside of each cap is black, but the outside of each cap is either blue or white. Before any of the men can speak, their captors tell them if they speak, they die. However, if any of them can guess the color of their cap on the first try they go free. The captors tell them that there are two blue caps and two white caps.
Being an omniscient observer of the situation, we know that the order of the caps are: blue, white, blue, white. So knowing the perspective of each man in the sand, and that they can only see the color of caps/wall/desert in front of them, which of the four men knows for certain the color of his own cap. More importantly: why?
Hint:
The third man. This is because he knows there are only two of each color cap. If the man behind him (the fourth man) saw two caps that were the same color in front of him, he would know that his own must be the opposite. However, because the caps alternate in color. The fourth man has only a 50% chance of getting his hat color correct, so therefore he stays quiet. The third man realizes that the fourth man is quiet because he must not see two caps of the same color in front of him, otherwise the fourth man would say the opposite of the caps in front of him. Therefore, the third man presumes his own cap must be the opposite of the mans in front of him, and his presumption is correct. Under this same logic, after the third man speaks his color hat, the second man, even though he sees only wall, would be the next to go free, because he knows his cap must be the opposite of whichever color the third mans cap was. Did you answer this riddle correctly?
YES NO
YES NO
Out The Abandoned Building Riddle
A homicide detective is called at a crime scene. A man is lying dead in front of an abandoned building. It is believed that the man jumped out of a window off the abandoned building and committed suicide.
The detective asks his team to collect evidence and he heads towards the building. He goes to the first floor and towards the room that is on the front side. Inside the room, he lights a cigarette, walks towards the window facing the dead body, opens the window and throws out the cigarette. He then goes to the second floor and repeats the same process.
He keeps doing the same thing till he is done with all the floors and then takes the lift to the ground floor. Upon reaching there, he informs the team that it is not a suicide but a murder.
How did he know that it was a not a suicide?
The detective asks his team to collect evidence and he heads towards the building. He goes to the first floor and towards the room that is on the front side. Inside the room, he lights a cigarette, walks towards the window facing the dead body, opens the window and throws out the cigarette. He then goes to the second floor and repeats the same process.
He keeps doing the same thing till he is done with all the floors and then takes the lift to the ground floor. Upon reaching there, he informs the team that it is not a suicide but a murder.
How did he know that it was a not a suicide?
Hint:
If the man had committed suicide, the window that he jumped from should have been left opened. But all the windows facing the dead body were closed. This means that someone closed the window after the man died. Did you answer this riddle correctly?
YES NO
YES NO
Forty-foreheads Riddle
In a pond, there were forty elephants. Those elephants had forty-fore heads. How can this be feasible in real world?
Hint:
In a pond, there were forty elephants. Those elephants had forty-fore heads. How can this be feasible in real world? Did you answer this riddle correctly?
YES NO
YES NO
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