Saturday, November 14, 2009

Answer these riddles and win ten points!?

If you were to put a coin into an empty bottle and then insert a cork in the bottle's opening, how could you remove the coin without taking out the cork or breaking the bottle?





Hint: Actually, people solve this riddle everyday. Let's say you're opening a wine bottle, and in the process you break the cork. What's the only thing left to do?





FAMILY RELATIONS Speaker: "Brothers and Sisters, I have none. But this man's Father is my Father's son."





Who is the speaker talking about?





ANALOG CLOCK I An analog clock reads 3:15. What is the angle between the minute hand and hour hand?


ANALOG CLOCK II Imagine an analog clock set to 12 o'clock. Note that the hour and minute hands overlap. How many times each day do both the hour and minute hands overlap? How would you determine the exact times of the day that this occurs?


APPLES AND ORANGES There are three closed and opaque cardboard boxes. One is labeled "APPLES", another is labeled "ORANGES", and the last is labeled "APPLES AND ORANGES". You know that the labels are currently misarranged, such that no box is correctly labeled. You would like to correctly rearrange these labels. To accomplish this, you may draw only one fruit from one of the boxes. Which box do you choose, and how do you then proceed to rearrange the labels?





Note: (1/19/2003 1:23AM) Edited to add that the boxes are opaque.





STUPID What is the beginning of eternity, the end of time and space, the start of every end, and the end of every race?





CLIMBING SNAIL A snail is at the bottom of a well that is 20 meters in depth. Every day the snail climbs 5 meters upwards, but at night it slides 4 meters back downwards. How many days must elapse till the snail reaches the top of the well?


8-WAY CAKE SLICE You have a round birthday cake. With three straight slices of a knife, divide the cake into 8 equal pieces. I know of two different solutions.





CHESSBOARD SQUARE COUNT How many squares are on a chessboard (8 x 8)?





Followup 11/24/2002 7:44PM: How many rectangles are on a chessboard?





MONTY HALL SHOW You are a contestant on the Monty Hall game show. Three closed doors are shown before you. Behind one of these doors is a car; behind the other two are goats. The contestant does not know where the car is, but Monty Hall does.





The contestant picks a door and Monty opens one of the remaining doors, one he knows doesn't hide the car. If the contestant has already chosen the correct door, Monty is equally likely to open either of the two remaining doors.





After Monty has shown a goat behind the door that he opens, the contestant is always given the option to switch doors. What is the probability of winning the car if she stays with her first choice? What if she decides to switch?





Hint: Like many other problems on this site, the first answer that comes to mind tends to be wrong. Try enumerating the possible outcomes in a tree-like structure, recording the probabilities of each event along the way.








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Note: This riddle was popularized by Marilyn vos Savant, current holder of the world's highest IQ. She introduced it in a magazine puzzle column, and was subsequently bombarded by flame mail accusing her of having the wrong solution, even though she was right. Even statistics professors were fooled! Today, this riddle is mentioned in almost every probability class.





GLASS HALF FULL You are in an empty room and you have a transparent glass of water. The glass is a right cylinder, and it looks like it's half full, but you're not sure. How can you accurately figure out whether the glass is half full, more than half full, or less than half full? You have no rulers or writing utensils.





Hint 1: To help you get started if you're stuck, here's a solution that's not good enough. Holding the cup upright, use the palm of your left hand to cover the cup's opening. Now make a pinching gesture with the index finger and thumb of your right hand. Put the thumb at the base of the cup, and the index finger adjacent to the water level, thereby gauging the height of the water surface from the base of the cup. Now freeze the distance between those two fingers. Flip the cup upside down with your left hand; no water falls out since you've sealed the opening with your left palm. Now put your frozen right hand against the cup, and see if the inverted water level is next to your index finger. If so, the cup is exactly half full. This seems like a good solution, but it's actually slightly inaccurate, because the palm of your hand is not a perfectly flat surface. Also, you'll most likely lose some water when you flip the cup upside down. We want a really accurate method.





Hint 2: Utilize the geometry of the cup. That's really important.





Hint 3: Don't drink the water. ^_^








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Note: My friend David Lau found this riddle in a book designed for little kids. Hopefully you can solve it :)





HANGING CHAIN You have a 6-foot long chain that is suspended at its ends, tacked to a wall. The tacks are parallel to the floor. Due to gravity, the middle part of the chain hangs down a little bit, forming a hump; the length of this hump in the vertical direction is 3 feet. Find the distance in between the tacks.





Note: asked at m$ interview.





TWO CONDOMS, THREE WOMEN Willywutang would like to have safe sex with three women, any of whom may be carrying an STD. Given two condoms, how can he do so, while ensuring that no STD is passed from one woman (or possibly himself) to another (or to himself)?





PRIME PAIRS





M Pairs of primes separated by a single number are called prime pairs. Examples are 17 and 19. Prove that the number between a prime pair is always divisible by 6 (assuming both numbers in the pair are greater than 6).


MYSTERIOUS TRIANGLE AREA The second triangle is formed by rearranging pieces used to create the first. Yet there is a strange gap in the second triangle. Has area vanished? Is the conservation of matter bogus? Explain this madness.

Answer these riddles and win ten points!?
# 1 push the cork in (not out)


#2Himself, no idea


#3 Dont want to deal with angles


#4 24 the minute hand has to pass the hour hand every hour on the hour


#5 I'm pretty sure you would choose apples and oranges, but I don't know how that would help


#6 I dunno, god? (not religeous)


#7 20 days


#8 a 64


#8b a hell of alot of rectangles ima guess 512


#9 Well if u stuck with your first guess that was originally 1 in 3 you now have a one in two and if you switch you have a one in two, that doesn't make sense to me


#10 Good question I hope you tell me the answer


#11 I think I know how but i need some paper, this ones got me beat for now


#12 one gives him oral?


#13 too much work


#14 nah I've seen this done before the peices are cut in such a way that it basically takes some from the center and moves it to the outside, think it was like bartricks.com or something





wow, that was alot of work, hope it was worth a best answer
Reply:Keep your ten point... I'm going to bed!
Reply:1. push cork into bottle to get coin out.


Now give me my 10 points
Reply:i stopped reading shortly after family relations. that one is God
Reply:coin in empty bottle one: push the cork into the bottle and then remove the coin.


If I actually read the rest I will edit this answer :P





family relations: he is talking about himself..





analogue clock: either 0 degrees or 360 degrees.





end of time etc.: the letter E





snail in well: by day 16 it will be at the top but if it doesnt get out then it will slide back down to 16 metres.
Reply:I'll answer the ones I know.





Bottle-Push cork into bottle





Family Relations- He is talking about himself





Analog I- 0 degrees





Analog II- 24?





Stupid- The letter E





Cake- Slice once vertical, once horizontally, and once cutting the cake into two layers.





Hope this helps. Have a nice day!
Reply:ur killin my eyes!!
Reply:yeah, you really should try these 1 or 2 at a time.
Reply:q 1) do you put the bottle in hot water so it expands?


familys ralations)the mans brother or cousin or uncle?


anolog clock 1)revalotion
Reply:OMG u wrote to much no one has the time to read it
Reply:1. push the cork in


2. himself


3.7.5 degrees, itd be a quarter of the way down


4.23 times, after, at 11:55 the hand is even more slightly ahead making it 12 again


5. Draw from a box such that you know for sure what that box contains based on your draw.


6.The letter E


7.16 days


7.5. nvm the cake


8.204


9.2/3


10.Tilt the glass so that the water just reaches the lip of the glass. If the bottom of the glass is completely covered, but the side away from the liquid isn't being touched by it, than the glass is exactly half full because we know the glass is right (90 degrees).


11.Looks like i missed one to many maths lessons


12.1) Put on both condoms, A and B, and have sex with first woman.


2) Take outside condom off, have sex with second woman with only Condom A.


3) While leaving condom A on, turn condom B inside out and place it over Condom A. Then have sex with the third woman.


13.Nope thats enough!
Reply:Dude...you wrote way too much...not gonna have time to read it, do one at a time. LOL, can i still have 10 pts!
Reply:ten points just 4 reading all that!
Reply:i dunno the answer to any of these i heard the one about the fathers son a couple years ago but I forgot the answer where can i get the answers
Reply:1: when you put the coin in the bottle the bottle is empty therefore this is impossible





FAMILY RELATIONS


His son.





ANALOG CLOCK


0 degrees





STUPID


The letter E you douche





CLIMBING SNAIL


20





CHESSBOARD SQUARE COUNT


65 cuz the whole thing's a square 2





MONTY HALL SHOW


theyre better switching so that the probability is no longer 1/3 but 2/3





GLASS HALF FULL


uhh..............


are you a relatively happy person?


if so, yes its half full.





HANGING CHAIN


measure the length of the floor
Reply:2 condoms 3 women answer is he is the only one that needs to wear a condom since women cant transmit stds to other women so the other condom is just a way to throw us off


the triangle im just guessing would it be like the triforce in the legend of zelda where the gap is another triangle

riding boots

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