Difficult Riddles

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As I traveled up and down our great glorious country, I found myself in a place where the tempature goes up sharply in the day and down at night. This had an effect on my watch, I noticed it was 1/2 a minute faster at nightfall, but at dawn it had lost 1/3 minute, making it only 1/6 minute fast. One morning- May 1- my watch showed the right time. By what date was it 5 minutes faster?
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What is the next 3 letters in this riddle? o t t f f s s _ _ _
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What is the difference between a school boy studying and a farmer watching his cattle?
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I move very slowly at an imperceptible rate, although I take my time, I am never late. I accompany life, and survive past demise, I am viewed with esteem in many women’s eyes. What am I?
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A house has 6 stories, each the same height. How many times as long is the ascent to the sixth floor as the ascent to the third?
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A man had a bar of lead that weighed 40 lbs., and he divided it into four pieces in such a way as to allow him to weigh any number of pounds from one to forty. What are the weights of the four pieces?
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