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Riddle:
My first may be fashioned of iron or wood, And at window or door for safety is placed; In village or town, it does more harm than good, Leading people their health, time, and money to waste. My second's a lady, bewitching and fair, And for love of her people will labor and strive; Will rise before dawn, and be wearied with care, And pursue her with ardor as long as they live. My whole is what ladies admire and approve, The shopkeeper's boast-the purchaser's prize; 'Tis a ninepenny chintz-'tis a one-shilling glove- It is something which makes people open their eyes.
What am I?
Riddle:
If I say I am lying, am I telling the truth?
Answer: This is impossible to solve, because if I were telling the truth, then I would be lying, which doesn't make sense since I am telling the truth. If I am lying, then what I said was true and that doesn't make sense either.
Riddle:
Two hours ago it was as long after one o'clock in the afternoon as it was before one o'clock in the morning. What time is it now?
Answer: It would be 9:00 pm. There are 12 hours between 1:00 pm and 1:00 am and half of that is six hours. Half-way between would be 7 o'clock. Two hours later it would be 9:00 o'clock.
Riddle:
Farmer Brown came to town with some watermelons. He sold half of them plus half a melon, and found that he had one whole melon left. How many melons did he take to town?
Riddle:
If you screw a light bulb into a socket by turning the bulb toward the right with your right hand, which way would you turn the socket with your left hand in order to unscrew it while holding the bulb stationary?
Answer: To the right. It's always the same direction.
Riddle:
I have three envelopes, into one of them I put a $20 note. I lay the envelopes out on a table in front of me and allow you to pick one envelope. You hold but do not open this envelope. I then take one of the envelopes from the table, demonstrate to you that it was empty, screw it up and throw it away. The question is would you rather stick with the envelope you have selected or exchange it for the one on the table. Why? What would be the expected value to you of the exchange?
Answer: The answer might seem a little counter intuitive at first but we'll see... The short answer is that it is in your advantage to exchange. But why? Well initially there was a 1/3 chance that you were holding the envelope with the note in it and a 2/3 chance that the note was on the table. This is still the case after one of the envelopes on the table has been removed, there is still a 1/3 chance that you have the note and a 2/3 chance of it being on the table. If this is confusing then it may help to think that the questioner knows which envelope the $20 note is in, though in practice it doesn't actually matter. The questioner would always be able to demonstrate that the note was not in one of the envelopes on the table regardless of where the note was, so the fact that he was able to do this changes nothing. Consider a different example.... Say there are a 1000 envelopes on the table, 1 with a note inside. You pick 1 envelope, the chance that this has the note in it is clearly 1/1000, where as the chance that it is still on the table is 999/1000. Odds are its on the table. Now the questioner could, assuming he can remember where the note is demonstrate to you that the note is not in 998 of the envelopes on the table. In this case nothing would have happened to change the fact that there is only a 1/1000 chance of you having the note. That is why you exchange. What is the value of the exchange? Simply before the exchange you have 1/3 of $20 and afterwards you will have 2/3 of $20, ie the advantage to you is about $6.66
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