Difficult Riddles

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I have ten or more daughters. I have less than ten daughters. I have at least one daughter. If only one of these statements is true, how many daughters do I have?
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I am a perching barrel, filled with meat, Taking hits from leaps and dives. Look inside, but do not eat, The meat in there is still alive! What am I?
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(A) Use two digits to make the smallest possible positive integer. (B) Five 3s can express 37: 37=33+3+3/3 Find another way to do it. (C) Use six identical digits to make 100. (Several solutions are possible.) (D) Use five 4s to make 55. (E) Use four 9s to make 20.
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You want to send a valuable object to a friend. You have a box which is more than large enough to contain the object. You have several locks with keys. The box has a locking ring which is more than large enough to have a lock attached. But your friend does not have the key to any lock that you have. How do you do it? Note that you cannot send a key in an unlocked box, since it might be copied.
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One sunny afternoon, three men go for a ride on a hot air balloon over the Sahara desert. An hour into the trip, the balloon begins to lose altitude. A month later, someone found one of the ballooners laying on the desert sand dead, naked, and holding half a toothpick. What happened to him?
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When I’m used, I’m useless, once offered, soon rejected. In desperation oft expressed, the intended not protected. What am I?
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