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Riddle:
Trains travel from one town to another town all day, always on the same track, always going nonstop and at the same speed. The noon train took 80 minutes to complete the trip, but the 4 PM train took an hour and 20 minutes. Why?
Answer: 80 minutes is the same as an hour and 20 minutes.
Riddle:
I am everything. I am nothing. I can make you tremble in fear or make your sadness disappear. I've been with you since you arrived and I will be with you at the moment you die. We've known each other for our entire lives. I know you but you create me. What am I?
Riddle:
Late afternoons I often bathe. I'll soak in water piping hot. My essence goes through my see through clothes. Used up am I; I've gone to pot. What am I?
Riddle:
Two sentries were on duty outside a barracks. One faced up the road to watch for anyone approaching from the North. The other looked down the road to see if anyone approached from the South. Suddenly one of them said to the other, "Why are you smiling?" How did he know that his companion was smiling?
Answer: Although the guards were looking in opposite directions, they were not back to back. They were facing each other.
Riddle:
I am broken and apart, all my pieces are in tatters. They lie about unorganized, as if nothing matters. Like Humpty Dumpty all I want is all my pieces fixed. Yet when you start to help me, your feelings might be mixed. To some I am relaxing, to others I bring anger. To see my original form, you need only look at my chamber. What am I?
Riddle:
Not far outside the town of Pottsville, a railroad track runs through a tunnel in a hillside. There's only one track, and the tunnel is wide enough for only one train. But one day, two trains went into the tunnel from opposite directions. Each train entered the tunnel exactly at eight o'clock. Three minutes later, each train came out at the opposite ends of the tunnel. Yet, there was no collision! How was this possible?
Answer: One train comes at 8am and the other train came at 8pm.
Riddle:
You and nine other individuals have been captured by super intelligent alien overlords. The aliens think humans look quite tasty, but their civilization forbids eating highly logical and cooperative beings. Unfortunately, they're not sure whether you qualify, so they decide to give you all a test. Through its universal translator, the alien guarding you tells you the following: You will be placed in a single-file line facing forward in size order so that each of you can see everyone lined up ahead of you. You will not be able to look behind you or step out of line. Each of you will have either a black or a white hat on your head assigned randomly, and I won't tell you how many of each color there are.
When I say to begin, each of you must guess the color of your hat starting with the person in the back and moving up the line. And don't even try saying words other than black or white or signaling some other way, like intonation or volume; you'll all be eaten immediately. If at least nine of you guess correctly, you'll all be spared. You have five minutes to discuss and come up with a plan, and then I'll line you up, assign your hats, and we'll begin. Can you think of a strategy guaranteed to save everyone? Alex Gendler shows how.
Answer: Let's see how it would play out if the hats were distributed like this. The tallest captive sees three black hats in front of him, so he says "black," telling everyone else he sees an odd number of black hats. He gets his own hat color wrong, but that's okay since you're collectively allowed to have one wrong answer. Prisoner two also sees an odd number of black hats, so she knows hers is white, and answers correctly. Prisoner three sees an even number of black hats, so he knows that his must be one of the black hats the first two prisoners saw. Prisoner four hears that and knows that she should be looking for an even number of black hats since one was behind her. But she only sees one, so she deduces that her hat is also black. Prisoners five through nine are each looking for an odd number of black hats, which they see, so they figure out that their hats are white. Now it all comes down to you at the front of the line. If the ninth prisoner saw an odd number of black hats, that can only mean one thing. You'll find that this strategy works for any possible arrangement of the hats. The first prisoner has a 50% chance of giving a wrong answer about his own hat, but the parity information he conveys allows everyone else to guess theirs with absolute certainty. Each begins by expecting to see an odd or even number of hats of the specified color. If what they count doesn't match, that means their own hat is that color. And every time this happens, the next person in line will switch the parity they expect to see. So that's it, you're free to go. It looks like these aliens will have to go hungry, or find some less logical organisms to abduct.
Riddle:
In spring I am gay in handsome array; in summer more clothing I wear; when colder it grows I fling off my clothes; and in winter quite naked appear. What am I?
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