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Search results 1-20 of 22.
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According to my calculations,1) if the pyramid is rectangular (each ball leans on 4 balls from the layer below), then the k-th layer from top has N[k]=k^2 balls;2) if the pyramid is hexagonal (each ball leans on 3 balls from the layer below and the first 3 layers have 1, 3 and 7 balls), then the k-th layer from top has N[k]=N[k-2]+3*(k-1) balls at k=2,3,4.... and N[0]=0, N[1]=1;3) if the pyramid is triangular (each ball leans on 3 balls from the layer below, the first 3 layers have 1, 3 and 10 …
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Two pupils - a boy and a girl - have just taken meteorological measurements.Now they are having a rest on a hill and looking at a cargo train passing by.The steam locomotive is puffing and smoking desperately heading uphill. A steady wind, without blasts, is blowing along the railway. "What wind speed have our measurements shown?" - the boy asked."7 meters per second"."Today this is enough for me to determine at which speed the train goes.""Is that so?" said the girl in doubt."Just look careful…
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Correct In Russian one can say it without any ambiguity, seems I just don't know the right words in English Okay, here is another one: This man needs to ferry a wolf, a goat and a cabbage head in a boat across the river. The boat can only take a man and either a wolf, or a goat, or a cabbage head with him. If the wolf and the goat are left alone on one bank, the wolf will eat the goat; if the goat and cabbage head are left alone, the goat will eat the cabbage. But in man's presence nobody eats …
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Correct!There are also other ways, e.g. this one: (Hidden Content)Next: Wandering around the world, I have been to such places where the difference of temperatures between night and day was so great that my watch changed its clock speed when I spent days and nights on open air. I noticed that temperature change during day caused the watch to become ½ minutes fast, and during nights the watch became ⅓ minutes slow. In the morning of October 1st the watch was still showing the correct time. By wh…
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I guess the above task required too many calculations and was more of a time killer than a brainteaser... I already forgot the answer anyway... Here is a quick one: Five apples lie inside a bin. How can one share these apples between five girls, so that each girl gets an apple, and one apple remains in the bin?
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The official solution is "give one girl an apple together with the bin". You've got close enough (Quote from ringotwin)Many options here, e.g. 1) they want to be healthy and prefer walking instead of driving, 2) they are afraid that patients falling out of windows can damage their cars, 3) hospitals are far from petrol stations, 4) cars can never park in the same spot (it has to be different for every car!). Is any of these correct?...