- Dec 30, 2002
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I've been posting math riddles on our BBS this week and a few people have really enjoyed them. I now need more for next week. I've pretty well scoured Anandtech and Google and have a list of the interesting ones, and a few that aren't math related, but I'm hoping you guys can fill in some that I've perhaps missed.
This is what I've got so far:
This is what I've got so far:
This is what I've got coming up:You have 12 golf balls, 11 of the same weight and one of a deviating weight. You are allowed to use a balance scale 3 times. BUT, you do not know whether the deviating golf ball is heavier or lighter than the rest. Using the scale 3 times, you have to point out the deviating ball AND tell whether its heavier or lighter than the rest.
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You have one scale that displays weight in grams and 10 bags with 100 coins each. 9 bags weigh 100g (Each coin weighs exactly 1g), 1 bag weighs 99g (Each coin weighs exactly 0.99g). With only one weighing, you have to find the bag which weighs 99g. How would you do it?
Remember, you may use the scale only once. For example, you cannot put the first bag on the scale, read the weight, put the second one on the scale, read the weight, etc.
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You are a prisoner in a foreign land. your fate will be determined by a little game. there are two jars, one with 50 white marbles, and one with 50 black marbles. at this point, you are allowed to redistribute the marbles however you wish (e.g. swap a black marble with a white marble, etc.): the only requirement is that after you are done with the redistribution, every marble must be in one of the two jars. afterwards, both jars will be shaken up, and you will be blindfolded and presented with one of the jars at random. then you pick one marble out of the jar given to you. if the marble you pull out is white, you live; if black, you die. how should you redistribute the marbles to maximize the probability that you live; what is this maximum probability (roughly)?
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5 robbers hold up a diamond store and make out with 100 diamonds, all of equal value. Instead of splitting the diamonds equally among them, they decide that they will have a bidding contest with these rules:
- Each robber draws a number out of a hat (1, 2, 3, 4 or 5)
- Starting with the smallest number, each robber will have the chance to make a proposal on how to best split the diamonds. Eg, 20-20-20-20-20 or 0-10-20-30-40 are possibile bids.
- Each robber votes on whether to accept the proposal and if there is a majority (>50% vote yes) it passes.
- If is does not pass then the robber who proposed it is killed and the process is repeated with the remaining, smaller group.
- Each robber is assumed to be equally smart and will veto any proposal when they know they can do better.
What should the first robber bid to keep themselves alive and to maximize their diamonds?
A village of fifty (50) smurfs has been discovered by an oversized hungry giant. The giant is going to eat every smurf, but he gives them an opportunity to live. The following morning, the giant is going to line up all 50 smurfs facing the same direction, so that the 50th smurf can see every smurf in front of him, the 24th smurf can see the 23 smurfs in front of him, etc. He's going to randomly put either a black or white hat on each smurf. A smurf cannot see his own hat, but of course can see the hats of the smurfs in front of him. For a smurf to survive, he must call out the correct color of his hat. If he is right, he lives, if he's wrong, he dies. The 50th smurf (the one who can see the other 49) will start first by calling out either black or white, and then the next smurf will go, and so on. The night before the execution, the smurfs devise a plan so that the greatest number of smurfs will certainly live.
What strategy do they devise so that the greatest number of smurfs will live?
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A dragon and a knight lived in a valley. In this valley there were six poison wells on the side of a mountain. The wells contained a very strange kind of poison. If you drank from a lower level well, you would die unless you drank from a higher-level well within a day after drinking.
That is to say, if you drank from the first well, you could save yourself by drinking from the second, third, fourth, fifth, or sixth. If you drank from the fifth well, you could only survive by drinking from the sixth well. Drinking from a second well doesn't re-poison you, it only saves you.
Both the knight and the dragon could get water from the first five wells, but only the dragon could get water from the sixth well because it was so high up. One day, the knight and the dragon got tired of sharing the valley and decided to have a duel. They would each bring two glasses of water and give one glass to the other. And then the other would have to drink it. Then they would drink the second glass, which they brought for themselves.
On the day of the duel, the knight and the dragon met. They exchanged glasses and drank the water in the glasses. Then they drank the water in their second bottle. The dragon died and the knight lived. Why?
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What row of numbers comes next?
1
11
21
1211
111221
312211
13112221
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You are outside a room facing three switches. Inside the room are three light bulbs, one connected to each switch. All three start in the off position.
You are allowed to enter the room only once and once inside the room you cannot leave it. You can't see any of the bulbs until you enter the room. How do you work out which switch goes to which bulb?
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The devil has challenged you to a game. If you win, he will give you everything of your dreams. If you lose, then you will have to go with him. He has brought a perfectly round table and a pile of perfectly round coins, which are the same size. The game goes like this: You take turns putting coins flat on the table. And the first person who cannot put a coin flat on the table loses. You tell the devil that you want to go first? How can you win? Where should you put your first coin?
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There are 5 houses of 5 different colors. In each house lives a person of a different nationality. Each of the 5 residents drinks a certain type of beverage, smokes a certain brand of cigar, and keeps a certain pet. None of them have the same pet, smoke the same brand of cigar or drink the same beverage.
The question is: Who owns the fish?
Clues:
The Brit lives in the red house.
The Swede keeps dogs as pets.
The Dane drinks tea.
The green house is on the left of the white house.
The resident of the green house drinks coffee.
The person who smokes Pall Mall rears birds.
The resident of the yellow house smokes Dunhill.
The resident of the center house drinks milk.
The Norwegian lives in the first house.
The person who smokes Blends lives next to the one who keeps cats.
The person who keeps the horse lives next to the one who smokes Dunhill.
The person who smokes Bluemasters drinks beer.
The German smokes Prince.
The Norwegian lives next to the blue house.
The person who smokes Blends has a neighbor who drinks water.
Einstein wrote this riddle this century. He said 98% of the world could not solve it.
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Schwarzenegger has a long one. Spike Lee has a short one. The Pope doesn't use his.
What is it ?
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"Think of words ending in -GRY. Angry and hungry are two of them. There are only three words in the English language. What is the third word? The word is something that everyone uses every day. If you have read carefully, I have already told you what it is."
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There is a common English word that is nine letters long. Each time you remove a letter from it, it still remains an English word - from nine letters right down to a single letter. What is the original word, and what are the words that it becomes after removing one letter at a time?
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On my way to St. Ives,
I met a man with seven wives.
Each wive had seven sacks,
Every sack had seven cats,
all the cats had seven kits.
Kits, cats, sacks, wives,
how many were going to St. Ives?
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3 men get the last room in the hotel for $30. The manager tells the bell boy to return $5 to them since they're having to share. The bell boy pockets $2 for himself and gives the men $1 each back. Each man has now paid $10-$1 = $9. And 3x$9 = $27. The bell boy took $2.
$27+$2= $29, but originally they handed over $30. Where has the other $1 gone ?