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
10 Boxes Riddle
There are ten boxes containing some balls. Each of the ball weighs exactly 10 grams. One of those boxes have defective balls (all the defective balls weigh 9 grams each).
An electronic weighing machine is provided to you and you are allowed only one chance of weighing on it.
How will you find out which box has defective balls ?
An electronic weighing machine is provided to you and you are allowed only one chance of weighing on it.
How will you find out which box has defective balls ?
Hint:
Let us simplify boxes by naming them from 1 to 10.
Now the trick here is to pick different number of balls from different boxes. So to simplify things, we will pick balls corresponding to box number.
Thus, pick 1 ball from Box 1, 2 balls from box 2, 3 balls from box 3 and so on. You will have 55 balls altogether. Now, put them all in the balance.
If all balls were weighing accurate 10 grams, the total weight of the 55 balls would have been 550 grams. But one of the box must have had the defective balls.
Suppose if the defective balls were in box number 2, then the total weight will be 2 grams less than 550. If the defective balls were in box 8, the total weight will be less than 8 grams from 550. In this way, you will be able to identify which box has the defective balls. Did you answer this riddle correctly?
YES NO
Now the trick here is to pick different number of balls from different boxes. So to simplify things, we will pick balls corresponding to box number.
Thus, pick 1 ball from Box 1, 2 balls from box 2, 3 balls from box 3 and so on. You will have 55 balls altogether. Now, put them all in the balance.
If all balls were weighing accurate 10 grams, the total weight of the 55 balls would have been 550 grams. But one of the box must have had the defective balls.
Suppose if the defective balls were in box number 2, then the total weight will be 2 grams less than 550. If the defective balls were in box 8, the total weight will be less than 8 grams from 550. In this way, you will be able to identify which box has the defective balls. Did you answer this riddle correctly?
YES NO
Gym Class Riddle
Four different-colored balls are being used in a gym class activity blue, red, yellow and orange. Each student must hold two different-colored balls, but no two students can have the same two colors (for example, only one student can hold the blue and red ball).
How many students can play the game?
How many students can play the game?
Hint:
Six. Explanation: 1. Blue Red
2. Blue Yellow
3. Blue Orange
4. Red Yellow
5. Red Orange
6. Yellow Orange Did you answer this riddle correctly?
YES NO
2. Blue Yellow
3. Blue Orange
4. Red Yellow
5. Red Orange
6. Yellow Orange Did you answer this riddle correctly?
YES NO
Light Years Away Riddle
These are giant balls of gas
Many light years away
Most are only seen at night
Although ones seen in the day
Many light years away
Most are only seen at night
Although ones seen in the day
Hint:
The Riddle Of Gestumblindi Scandinavia
Four hang, four sprang, two point the way, two to ward off dogs, one dangles after, always rather dirty. What am I?
Hint:
Hidden Gems Riddle
Find the names of 10 gems or precious stones hidden in the following story. Each one spans at least two words.
Sir Gade rode toward a castle atop a zebra at a steady gallop, a long way from home. He arrived at the gate and the keeper knelt in shame. Thy steed must be tired. Sir Gade replied, I am on direct orders from the King. Let me through. A cougar, nettled by the noise, emerged from a shrub. You must save me! cried the gate man. Sir Gade, eyes filled with rancor, alighted and gazed toward the sky. An item fell from his cloak as drove his sword into the cougars spine. Let me pass! cried Sir Gade. The gate keeper, stunned from his saga, tentatively opened the gate, then retrieved the fallen item.
Sir Gade rode toward a castle atop a zebra at a steady gallop, a long way from home. He arrived at the gate and the keeper knelt in shame. Thy steed must be tired. Sir Gade replied, I am on direct orders from the King. Let me through. A cougar, nettled by the noise, emerged from a shrub. You must save me! cried the gate man. Sir Gade, eyes filled with rancor, alighted and gazed toward the sky. An item fell from his cloak as drove his sword into the cougars spine. Let me pass! cried Sir Gade. The gate keeper, stunned from his saga, tentatively opened the gate, then retrieved the fallen item.
Hint:
1. topaz atop a zebra
2. opal gallop, a long
3. amethyst shame. Thy steed
4. diamond replied, I am on direct
5. garnet cougar, nettled
6. ruby shrub. You
7. coral rancor, alighted
8. kyanite sky. An item
9. spinel spine. Let
10. agate saga, tentatively Did you answer this riddle correctly?
YES NO
2. opal gallop, a long
3. amethyst shame. Thy steed
4. diamond replied, I am on direct
5. garnet cougar, nettled
6. ruby shrub. You
7. coral rancor, alighted
8. kyanite sky. An item
9. spinel spine. Let
10. agate saga, tentatively Did you answer this riddle correctly?
YES NO
The Big Metal Box Riddle
In a cave there is a treasure within a big metal box with a lock on it. There is also a monster in the cave that has two keys with him; one gold and the other silver. The monster will give you only one chance to open the lock using one of the keys. If the box doesnt open, the monster will kill you. Since the monster is a bit helpful it would give you a clue in finding out the correct key. Can you choose the correct key by deciphering the below clue?
A GKOY OEPD LYEO DCNO EAAR NNN
A GKOY OEPD LYEO DCNO EAAR NNN
Hint:
The gold key will open the lock.
The clue says A Golden Key Can Open Any Door. Decipher the message by taking the first letter of each word, then the second letter of each word, then the third letter and so on to construct the sentence. Did you answer this riddle correctly?
YES NO
The clue says A Golden Key Can Open Any Door. Decipher the message by taking the first letter of each word, then the second letter of each word, then the third letter and so on to construct the sentence. Did you answer this riddle correctly?
YES NO
Warrior Among Flowers Riddle
A warrior amongst the flowers, he bears a thrusting sword. He uses it whenever he must to defend his golden hoard. What is he?
Hint:
Demons And Ghouls Riddle
Hint:
A Boy At The Carnival
A young boy was at the carnival. He was walking past a kiosk where an old man was sitting.
"Do you want to play a game?" the old man said to him.The young boy was intrigued. "What kind of game?" he asked.
"It's a very simple game." said the old man. "I will tell you the rules. I have ten large metal boxes. Inside one of the boxes is the prize money. One thousand dollars."
"A thousand bucks, huh?" asked the boy. "What's the catch?"
"The boxes are sturdy and strong," said the old man. "Much too strong to be opened with your bare hands. They are also airtight and cannot be damaged by a hammer, an axe or even a chainsaw."
"So they're impossible to open?" said the boy.
"Not impossible." said the man. "I have a blowtorch which can be used to open the boxes."
"Is there a time limit?" asked the boy.
"You can take as much time as you want." said the old man. "When you find the prize money, it's all yours. So, do you want to play the game?"
"Well, I don't how I could possibly lose," said the boy. "OK. I'll play your game."
The old man smiled. "I'll make it very easy for you", he said. "There are ten metal boxes, but if you give me five dollars, I will start you right next to the prize money."
The boy happily took out his wallet and handed a crisp five dollar note to the old man. There was a mischievous grin on the old man's face.The game started.The prize money was right in front of the boy. He could see it. He could touch it.Even though he won the game, the boy was never able to spend the money. He died shortly after he won the game.
How did the boy die?
"Do you want to play a game?" the old man said to him.The young boy was intrigued. "What kind of game?" he asked.
"It's a very simple game." said the old man. "I will tell you the rules. I have ten large metal boxes. Inside one of the boxes is the prize money. One thousand dollars."
"A thousand bucks, huh?" asked the boy. "What's the catch?"
"The boxes are sturdy and strong," said the old man. "Much too strong to be opened with your bare hands. They are also airtight and cannot be damaged by a hammer, an axe or even a chainsaw."
"So they're impossible to open?" said the boy.
"Not impossible." said the man. "I have a blowtorch which can be used to open the boxes."
"Is there a time limit?" asked the boy.
"You can take as much time as you want." said the old man. "When you find the prize money, it's all yours. So, do you want to play the game?"
"Well, I don't how I could possibly lose," said the boy. "OK. I'll play your game."
The old man smiled. "I'll make it very easy for you", he said. "There are ten metal boxes, but if you give me five dollars, I will start you right next to the prize money."
The boy happily took out his wallet and handed a crisp five dollar note to the old man. There was a mischievous grin on the old man's face.The game started.The prize money was right in front of the boy. He could see it. He could touch it.Even though he won the game, the boy was never able to spend the money. He died shortly after he won the game.
How did the boy die?
Hint:
The man put the inside of the box since he said for five dollars, he'd put the boy next to the money. Since the box was airtight, he suffocated 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
A Windless Day Riddle
Your friend tells you about a story he once tried to impress a young lady with, but instead got a slap in the face. He wants you to attempt to see the flaw: It was a hot and windless day, in our bunker, when suddenly one of ours yelled: "Enemy!" We opened fire on them, leaving one hundred of them dead before they retreated. I was checking a dead captain's glasses when the shout came that they were incoming again, and the CO ordered us to open up on them with our mortars, when I yelled: "Cease fire! They're Americans!" Later, an American colonel thanked me for my work after I said that I saw their flag, waving back and forth in the wind. What is wrong with this story?
Hint:
At the beginning, it was said that "It was a hot and windless day," yet at the end, it is said that "The flag was waving back and forth". Had it been windless, the flag would have been limp. Did you answer this riddle correctly?
YES NO
YES NO
We Seek To Fight Riddle
In caves of mold, in depths untold. We harvest a crop of silver and gold. Lacking in light, we seek to fight. We vanquish our foes, though terrible in might. What is it?
Hint:
Guardian Of The Dark Riddle
Guardian of the dark am I, though sometimes I take to the sky and look below for a tasty meal. My armor is harder than the toughest steel.
My breath is often made of fire. You do not want to provoke my ire. I've a fondness for gold and shiny things, I am a foe of knights, and slayer of kings. What am I?
My breath is often made of fire. You do not want to provoke my ire. I've a fondness for gold and shiny things, I am a foe of knights, and slayer of kings. What am I?
Hint:
Peter's Proposal Riddle
A couple - Peter Parker and Mary Jane are madly in love with each other, but they live miles apart. Peter wants to send a gold ring to Mary to celebrate their first anniversary together but in a country where people steal anything unlocked, he can't send it to her without locking it inside a box.
Now, Peter and Mary have a lot of padlocks with them, but they don't have the key to the padlock for one another's.
How will Peter send the ring now?
Now, Peter and Mary have a lot of padlocks with them, but they don't have the key to the padlock for one another's.
How will Peter send the ring now?
Hint:
Peter will have to use a lock box that can hold two locks. He will put the ring in a box and will mail it to Mary. Upon receiving the box, Mary will put her own lock box inside and will send back to Peter. Peter can then-then take off his lock and send it off to Mary again. Did you answer this riddle correctly?
YES NO
YES NO
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