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 07-04-2011, 02:48 PM #46 2010 PSOP Champion     Join Date: Feb 2010 Location: Check out my gang listing Posts: 19,962 Re: Brainteaser and math puzzle thread nope
 07-04-2011, 02:56 PM #47 veteran     Join Date: Dec 2008 Location: its not caturday, so its bunday. Posts: 2,112 Re: Brainteaser and math puzzle thread ok i changed my mind. none of that.
 07-04-2011, 03:31 PM #48 veteran     Join Date: Dec 2008 Location: its not caturday, so its bunday. Posts: 2,112 Re: Brainteaser and math puzzle thread Spoiler: Number of floor = N number of times you have to drop the balls = t Let's partition the floor into 2 parts seperated by the first throw position. Part A, whatever is on top and part B whatever is under. Say you need to drop the ball k times to solve Part A, then to solve part B when the first ball breaks, you would need to drop the ball k+1 times. Which means that for any number of floor N, you would need to add k+1 floors to increase the number of throw required by 1. This means that the number of try required is the ith triangular number which is >100 aka. 14 Last edited by theHuntContinues; 07-04-2011 at 03:47 PM.
 07-04-2011, 03:40 PM #49 2010 PSOP Champion     Join Date: Feb 2010 Location: Check out my gang listing Posts: 19,962 Re: Brainteaser and math puzzle thread Please spoiler your answers. People should be able to read through this thread without having the answers revealed to them.
 07-04-2011, 03:46 PM #50 veteran     Join Date: Dec 2008 Location: its not caturday, so its bunday. Posts: 2,112 Re: Brainteaser and math puzzle thread Spoiler: ok
 07-04-2011, 03:59 PM #51 adept     Join Date: Feb 2011 Posts: 715 Re: Brainteaser and math puzzle thread awesome thread, keep it up!
 07-04-2011, 04:05 PM #52 2010 PSOP Champion     Join Date: Feb 2010 Location: Check out my gang listing Posts: 19,962 Re: Brainteaser and math puzzle thread hmm I'm sure others have good ones. You can post yours itt gabe, I'm sure most people haven't seen them. Haven't used this one in a long time, hopefully I remember it right: A man goes over to his neighbors house and ask him how old his 3 kids are. He tells the man that if you multiply their ages together, you get 36, if you add their ages together, you get his house number. The man thinks about it for a bit, and responds that he still needs more information. The neighbor then says, "my eldest son plays the violin". How old are the 3 kids?
07-04-2011, 04:10 PM   #53
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Re: Brainteaser and math puzzle thread

Quote:
 Originally Posted by ibavly vn, there are multiple solutions but they all follow the general concept of making sure you do not ask the randomizer Q#2. An easy one (hopefully it will be clear!): You have two identical glass balls, and a skyscraper with 100 floors. You're curious to know what is the highest floor you can drop the ball from without it breaking. Obviously if both balls break and you do not yet know the breaking point you lose. Your goal is to find the smallest number of drops you can use to guarantee you will find the breaking point. Ex. one plan of action would be to start on floor 1 and keep moving up. that way when the ball eventually breaks you will know the answer. This could take up to 100 tries. Another possibility is to drop first from floor 50. If it doesn't break you start trying higher floors. If it does you are forced to start on floor 1 and go up one at a time since otherwise you would not be guaranteed finding the breaking point. This could take up to 50 turns.
Spoiler:

 07-04-2011, 04:15 PM #54 veteran     Join Date: Dec 2008 Location: its not caturday, so its bunday. Posts: 2,112 Re: Brainteaser and math puzzle thread Spoiler: 36 factorised -> 1 2 3 4 6 9 12 18 36 combination whose product = 36 with equal sum -> 9,2,2 ; 6,6,1 since the oldest son can play a violin, his age must be > pi so the kids are 9,2 and 2.
 07-04-2011, 04:20 PM #55 2010 PSOP Champion     Join Date: Feb 2010 Location: Check out my gang listing Posts: 19,962 Re: Brainteaser and math puzzle thread you are correct I'm not sure what you're talking about wrt pi
07-04-2011, 04:29 PM   #56
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Re: Brainteaser and math puzzle thread

Quote:
 Originally Posted by ibavly hmm I'm sure others have good ones. You can post yours itt gabe, I'm sure most people haven't seen them. Haven't used this one in a long time, hopefully I remember it right: A man goes over to his neighbors house and ask him how old his 3 kids are. He tells the man that if you multiply their ages together, you get 36, if you add their ages together, you get his house number. The man thinks about it for a bit, and responds that he still needs more information. The neighbor then says, "my eldest son plays the violin". How old are the 3 kids?
Spoiler:

07-04-2011, 04:31 PM   #57
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Re: Brainteaser and math puzzle thread

Quote:
 Originally Posted by ibavly hmm I'm sure others have good ones. You can post yours itt gabe, I'm sure most people haven't seen them. Haven't used this one in a long time, hopefully I remember it right: A man goes over to his neighbors house and ask him how old his 3 kids are. He tells the man that if you multiply their ages together, you get 36, if you add their ages together, you get his house number. The man thinks about it for a bit, and responds that he still needs more information. The neighbor then says, "my eldest son plays the violin". How old are the 3 kids?
Spoiler:

07-04-2011, 04:32 PM   #58
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Re: Brainteaser and math puzzle thread

Quote:
 Originally Posted by Willd Spoiler: The first two questions show the ages have to be either 6, 6 and 1 or 9, 2 and 2, as the only set of factors that add up to the same number. The violin statement implies the oldest child must be at least fairly old so the kids are 9, 2 and 2. I'm not a huge fan of the problem since it's not impossible that a 6 year old would play the violin but in the context it is at least obvious what the solution is meant to be.
Spoiler:

07-04-2011, 04:36 PM   #59
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Re: Brainteaser and math puzzle thread

Quote:
 Originally Posted by Willd Spoiler: The first two questions show the ages have to be either 6, 6 and 1 or 9, 2 and 2, as the only set of factors that add up to the same number. The violin statement implies the oldest child must be at least fairly old so the kids are 9, 2 and 2. I'm not a huge fan of the problem since it's not impossible that a 6 year old would play the violin but in the context it is at least obvious what the solution is meant to be.
Spoiler:

07-04-2011, 04:37 PM   #60
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Re: Brainteaser and math puzzle thread

Quote:
 Originally Posted by ibavly Spoiler: the violin is actually a red herring. The information he is giving is that he has an eldest son, they are not twins.
Spoiler:

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