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
Hoop And Holler Riddle
This is a place you can hoop and holler but if you want one in your home, you may have to pay top dollar.
Hint:
A Running Enthusiast Riddle
Hint:
When you have more running clothes than regular clothes in your laundry pile. Did you answer this riddle correctly?
YES NO
YES NO
Wipe Your Feet Riddle
Im a friend to parents who like things neat. Before you enter their home, I keep you clean. Pay me a quick visit and I will wipe your feet. What am I?
Hint:
Little Johnny's Bet Riddle
Little Johnny is walking home. He has $300 he has to bring home to his mom. While he is walking a man stops him and gives him a chance to double his money. The man says "I'll give you $600 if you can roll 1 die and get a 4 or above, you can roll 2 dice and get a 5 or 6 on at least one of them, or you can roll 3 dice and get a 6 on at least on die. If you don't I get your $300."
What does Johnny do to have the best chance of getting home with the money?
What does Johnny do to have the best chance of getting home with the money?
Hint:
He just doesn't take the bet. This gives him a 100 percent chance of getting the money home. If he takes the bet with 1 die he has a 50 percent chance of winning. If he takes the bet with 2 dice he has about a 56 percent chance of winning. If he takes the bet with 3 dice he has about a 42 percent chance of winning. Did you answer this riddle correctly?
YES NO
YES NO
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
Cakes For Grandma Riddle
You are on your way to visit your Grandma, who lives at the end of the valley. It's her birthday, and you want to give her the cakes you've made.
Between your house and her house, you have to cross 7 bridges, and as it goes in the land of make believe, there is a troll under every bridge! Each troll, quite rightly, insists that you pay a troll toll. Before you can cross their bridge, you have to give them half of the cakes you are carrying, but as they are kind trolls, they each give you back a single cake.
How many cakes do you have to leave home with to make sure that you arrive at Grandma's with exactly 2 cakes?
Between your house and her house, you have to cross 7 bridges, and as it goes in the land of make believe, there is a troll under every bridge! Each troll, quite rightly, insists that you pay a troll toll. Before you can cross their bridge, you have to give them half of the cakes you are carrying, but as they are kind trolls, they each give you back a single cake.
How many cakes do you have to leave home with to make sure that you arrive at Grandma's with exactly 2 cakes?
Hint:
2: At each bridge you are required to give half of your cakes, and you receive one back. Which leaves you with 2 cakes after every bridge. Did you answer this riddle correctly?
YES NO
YES NO
The Forgetful Camping Trip
You go camping and realize you forgot your sleeping bag. You get it come back and then realize you forgot your flashlight. You go and get it, but when you come back you find your sleeping bag is missing. You then find out you forgot your tent. When you go back and get it you see your sleeping bag, get it and leave your tent. You go back to the camp site remembering you left your tent at home. You also come to see your flashlight is now missing. You get your tent and see your flashlight, you get that too. You then see your sleeping bag is gone. You are so exhausted you leave it at home. Why does every thing keep going missing?
Hint:
You bring your sleeping bag home when you realize you forgot your flashlight. You leave your sleeping bag at home. You realize you did not bring your tent, go home with you flashlight. Instead of picking up your tent you see your sleeping bag and take that instead leaving your tent and flashlight at home. You go back when you get to camp because you now need your flashlight and tent. You bring your sleeping bag. And when you get your tent and flashlight you leave your sleeping bag. Every time you bring something to the camp site you leave what you had there at home. Did you answer this riddle correctly?
YES NO
YES NO
The Robbery On The Third Floor Riddle
My wife and I took a much-needed holiday in England. It's a long flight from New York to London. We checked into a nice hotel. After a long day of sightseeing we just collapsed into bed. Just a few minutes ago, we were woken up by some noises outside. I looked out the window and the police were everywhere. They yelled up to me that there was a robbery and a murderer on the second floor. I'm on the third floor, and I can see and I can see that the cops have the stairs and elevators locked down. The murderer can't get up to our floor, so we're in no danger. My wife and I are tired, so we're going back to bed. I really hope they catch the guy.
Why did the police yell to the guy if he was on the 3rd floor?
Why did the police yell to the guy if he was on the 3rd floor?
Hint:
America and England have different ways of numbering floors. In America, it goes 1st floor, 2nd floor, 3rd floor. In England, it goes ground floor, 1st floor, 2nd floor. Did you answer this riddle correctly?
YES NO
YES NO
Right Behind You Riddle
And creeps on the ground,
It follows you home,
But does not make a sound.
Careful when you turn around.
What is it?
Hint:
Panning Gold Riddle
Before dying, a father left a will to his two sons telling of a gold-panning stream that had supported his father's family long and hard. The will said that the two sons could make one, only one trip to the stream to pan for gold, but for as long as they wanted, and that whoever carried the gold back got it. On their way to the stream, the two sons lost a big fraction of their supplies, reducing their stay to two months. All they had now were some food, a mule, and panning supplies. During their stay, they managed to pan and smelt a gold bar 5 inches in diameter and 5 inches in height. Back in their hometown, the two sons disputed long and hard in court over who should get the gold bar. Now, the judge was a wise one. Who did he say got the gold bar?
Hint:
The mule. A gold bar 5 inches in diameter and 5 inches in height would have weighed far too much for either of the sons to carry, only the mule could have. Did you answer this riddle correctly?
YES NO
YES NO
You Must Follow Riddle
I am a paradox. Three pieces of one picture, a cataclysmic fire, a scorching flame. A tender whisper to wipe away tears. With a nail and a tree I dispel all fears. Except fears of myself. My blood was spilled but never runs dry. I was murdered by men but never will die.
I walked with my enemies to make them my friends, my road is a hard walk, but the joy never ends. The question is my name, but for the answer you must follow. Who am I?
I walked with my enemies to make them my friends, my road is a hard walk, but the joy never ends. The question is my name, but for the answer you must follow. Who am I?
Hint:
The Card Trick Riddle
A couple had to take shelter in a hotel for they could not proceed their journey in the rain. Having nothing to do at all, they started playing cards. Suddenly there was a short circuit and the lights went off. The husband inverted the position of 15 cards in the deck (52 cards normal deck) and shuffled the deck.
Now he asked his wife to divide the deck into two different piles which may not be equal but both of them should have equal number of cards facing up. There was no source of light in the room and the wife was unable to see the cards.
For a certain amount of time, she thought and then divided the cards in two piles. To the husbands astonishment, both of the piles had equal number of cards facing up.
How did she do it?
Now he asked his wife to divide the deck into two different piles which may not be equal but both of them should have equal number of cards facing up. There was no source of light in the room and the wife was unable to see the cards.
For a certain amount of time, she thought and then divided the cards in two piles. To the husbands astonishment, both of the piles had equal number of cards facing up.
How did she do it?
Hint:
The answer is very simple. All she had to do is take the fifteen cards from the top and reverse them. This would make another pile out of that and there will be two piles - one of 15 cards and one of 37 cards. Also both of them will have the same number of inverted cards.
Just think about it and if the mathematical explanation will help you understand better, here it is.
Assume that there were p inverted cards initially in the top 15 cards. Then the remaining 37 cards will hold 15-p inverted cards.
Now when she reverses the 15 cards on the top, the number of inverted cards will become 15-p and thus the number of inverted cards in both of the piles will become same. Did you answer this riddle correctly?
YES NO
Just think about it and if the mathematical explanation will help you understand better, here it is.
Assume that there were p inverted cards initially in the top 15 cards. Then the remaining 37 cards will hold 15-p inverted cards.
Now when she reverses the 15 cards on the top, the number of inverted cards will become 15-p and thus the number of inverted cards in both of the piles will become same. Did you answer this riddle correctly?
YES NO
150 Pens Riddle
Rihanna brought home 150 pens but while packing them, she misplaced some of them. When her brother asked how many she had misplaced, she told him:
If you count in pairs, one will remain
If you count in a group of three, two will remain
If you count in a group of four, three will remain
If you count in a group of five, four will remain
If you count in a group of six, five will remain
If you count in a group of seven, nothing will remain.
How many pens do you think has she misplaced ?
If you count in pairs, one will remain
If you count in a group of three, two will remain
If you count in a group of four, three will remain
If you count in a group of five, four will remain
If you count in a group of six, five will remain
If you count in a group of seven, nothing will remain.
How many pens do you think has she misplaced ?
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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