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There are three Federation Officers assigned to take three hostile aliens to “Peace Talks” on another planet. However, they must follow the following rules:
They have only one small space ship.
Only two individuals can ride in the space ship each time.
All Federation Officers can pilot the space ship, but only one alien can pilot the ship.
If at any time there are both Federation Officers and aliens on a planet, then there must always be more (or the same number of) Federation Officers than aliens on that planet. This is because if there are more aliens than Federation Officers, then the aliens will kill the Federation Officers. Count any individual in the space ship when it is on one planet as being on that planet.
The one space ship is the only means of transportation. There is no other way to get to the “Peace Talks”. No one can exit the space ship while it is in flight.
To start off, all the Federation Officers and aliens are on the same planet.Can all Federation Officers and aliens get to the other planet alive, and if so: how?
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Jenny has boxes in three sizes: large, standard, and small. She puts 11 large boxes on a table. She leaves some of these boxes empty, and in all the other boxes, she puts 8 standard boxes. She leaves some of these standard boxes empty, and in all the other standard boxes, she puts 8 (empty) small boxes. Now, 102 of all the boxes on the table are empty.
The question: How many boxes has Jenny used in total?
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Assume that you have a number of long fuses, of which you only know that they burn for exactly one hour after you lighted them at one end. However, you do not know whether they burn with constant speed, so the first half of the fuse can be burnt in only ten minutes while the rest takes the other fifty minutes to burn completely. Also, assume that you have a lighter.
How can you measure exactly three quarters of an hour with these fuses?
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Jacob, his daughter, and the evil Joju lived in a city. Jacob was in debt to Joju, and Joju had his eye on Jacob’s daughter. Joju made a proposition: he would place a black stone and a white stone in a bag, and Jacob’s daughter would pick one out in front of the People of city. If she drew the white stone, Joju would forgive Jacob’s debt. If she drew the black stone, Joju would marry Jacob’s daughter. Jacob had no choice but to agree. Jacob’s daughter has no reason to trust Joju, and believes that he will place two black stones in the bag. How can she get out of marrying Joju?
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There are two cylindrical rods of iron, identical in size and shape. One is a permanent magnet. The other is just nonmagnetised iron — attractable by magnets, but not permanently magnetic itself. Without any instrument, how can you determine which is Magnetic ?
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