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Posts posted by bonanova
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In my home town of Minneapolis, the Farenheit temperature can
remain continuously negative for weeks at a time. 2nd-story walkways
were constructed between some of the downtown buildings so shoppers
can spend all day indoors while walking from store to store.
In the new suburb of Frigid City, MN, city planners have decided to
duplicate that practice. The planning architects have advised that for
security reasons, no building may connect to more than three walkways.
But the planners want to provide an indoor path between any pair of
stores that involves walking through no more than one intervening store.
Eight anchor stores are to be walkway enabled.
Not knowing whether this is possible, the Frigid City Council [FCC] has
called in an Expert in All Things of Every Nature [EATEN] - namely you.
What do you tell them?
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It was only yesterday they found out -- I guess Morty's just isn't
the place to talk about such things. They all love to read!
Alex ran into Jamie at the town library, and just minutes later Davey
showed up. I didn't know you boys loved the books, said Alex, I guess
we browse different shelves. It does seem strange we haven't run into
each other before, said Jamie, especially since I come here every other
day. Davey seemed surprised as well. And I come here every third day,
he said. Well, said Alex, I must load up on more books than you boys do,
because I only drop by every fourth day.
The librarian, overhearing the conversation, reminded them that
the library was closed on Wednesdays. They all nodded, and each
of them explained that when their normal visit falls on Wednesday,
they come on Thursday instead, and count from there.
Well I'm off to the math books, winked Alex, I hope we all see
each other here again soon. If I'm right in my figuring, it will
be on a Monday.
Well that's my story. And now you know an interesting secret about
the boys down at Morty's. And about me, too, I guess. You see, I
just noticed that this is the day for my weekly visit to the library.
If you've followed the clues, you know my library visits fall on ....
Sunday. It's only coincidence this was posted on a Sunday.
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I think so. At least, C would include that, among others.Would indifference describe group C?A and B are those who agree or not.
C would be for the others, including myself - I neither agree nor disagree with Barth.
The interesting part to me is how others describe or choose C.
No disrespect taken, for sure... thanks for the response...
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John and Jim play 5 games of checkers.
John beats Sally 4 games to 1.
Jim beats Sarah 4 games to 1.
Explain how this could happen?
John and Jim are better players than Sally and Sarah.
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Group A but not Group 1.
Group A, but not Group 1. [i.e. you agree with Barth, and you do not put people into two groups]Karl Barth once suggested ["Barth's Distinction"] that you can divide everyone into two groups:
Group 1: those who divide people into two groups.
Group 2: those who do not divide people into two groups.
You may agree with Barth or not; either way, you belong to either
Group A: those who agree with Barth, or
Group B: those who do not agree with Barth.
Which group [A or B] are you in?
If you don't like the A and B alternatives, you must belong to Group C.
Describe Group C.
Why? Because if both groups are all-encompassing for EVERYONE it CAN be done... so ONLY if that is true. So it's very hard to get two groups that can fit that, where EVERYONE must be either. Not neither, not both. So Groups 1/2 I believe there can be more possibilities, for example indecisive people, dead people, etc. Are monkeys people? etc
But if both groups are completely ALL-ENCOMPASSING then of course you can
Group A - That means you agree with Barth, who puts everyone into Group 1 or Group 2.
But not Group 1 - that means you yourself do not put everyone into two groups. How does that agree with Barth?
Regarding the counter-examples ...
indecisive people and dead people would I think clearly belong to group 2: indecisive people can't decide and dead people can't do anything, so they both fit the condition of not placing people into two groups.
Want to include monkeys? OK, Barth would put all the monkeys that divide people into two groups into Group 1 and those that don't into Group 2.
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Monty Hall = Dartboard?this is simular but not as good as another puzle that involes three doors with one prizethe contestant picks one and the host shows him one door that doesnt have the prize, is he beter of switching doors to the unopened on he doesnt have or staying the same
in this case he has a 1/3 chance if he stays but if he changes he basickly gets the two other doors giving him a 2 in 3 chance
O, I get it ... they both have the number 3 [doors and darts], and one of the 3 wins.
There are a lot of problems that have a 3, so let's dig a little deeper:
[1] In MH, the contestant had opened one door when the decision had to b made; in DB, Jamie threw two darts when the bet was made.
[2] In MH, MH opens one of the other doors; in DB nobody but Jamie throws a dart.
[3] In MH, MH lets the contestant give up his first choice; in DB Jamie keeps all of his darts.
[4] In MH, the contestant wins or loses; in DB a non-player - Alex - makes the winning bet.
[5] In MH, the last door has a better chance of winning; in DB the last dart has a poorer chance of winning.
[6] In MH, the winning door is predetermined: no matter what the contestant does, only door x can win; in DB, nothing is predetermined: any dart can be closest.
[7] In MH, the bet is basically two doors against one door; in DB it's one dart against one dart.
OK, there's more simularity than what I describe.
Just ragging on you a bit cuz you said DB wasn't as good as MH.
Even granting some simularity, what makes MH better?
I didn't get your answer.
But if you say that essentially MH = DB, then I guess you're thinking that Alex should have bet the third dart.
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Start with 79 bananas. 79 = 3x26 + 1. First theif takes 26, leaves 52, gives 1 to the monkey
Now there's 52 bananas. 52 = 3x17 + 1. Second theif takes 17, leaves 34, gvies 1 to the monkey
Now there's 34 bananas. 34 = 3x11 + 1. Third thief takes 11 , leaves 22, gives 1 to the monkey.
Now there's 22 bananas. 22 = 3x7 + 1. The three thieves each take 7, and give 1 to the monkey.
There can't be fewer than 7 in the last division, else bananas would have to have been split earlier.
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Karl Barth once suggested ["Barth's Distinction"] that you can divide everyone into two groups:
Group 1: those who divide people into two groups.
Group 2: those who do not divide people into two groups.
You may agree with Barth or not; either way, you belong to either
Group A: those who agree with Barth, or
Group B: those who do not agree with Barth.
Which group [A or B] are you in?
If you don't like the A and B alternatives, you must belong to Group C.
Describe Group C.
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Two persons can fairly divide a piece of cake if one person cuts it, and the other person chooses which piece to take.
Suppose there are three persons who want to fairly divide the cake?
Suppose there are N persons?
Person #1 cuts off a piece of the cake.
Person #2 can make the piece smaller or pass.
Person #3 can make the piece smaller or pass.
The last person who touched the piece takes it.
The other two divide the remaining cake the usual way - one cuts, the other chooses.
Explanation:
If Person #1 cuts off too small of a piece, the others will pass, and Person #1 will be stuck with it.
If Person #1 cuts off too big of a piece, Person #2 will want a shot at getting it and will make it a little smaller.
Depending on how small Person #2 makes the piece, Person #3 can either pass [so Person #2 will have to take it] or reduce it very slightly in order to keep it.Person #1 cuts off a piece of the cake.
Person #2 can make the piece smaller or pass.
Person #3 can make the piece smaller or pass.
...
Person #N can make the piece smaller or pass. The last person who touched the piece takes it and is removed from the process.
Repeat until everyone has a piece.
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was it winter?
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A man divided his collection of silver coins among his sons and their wives.
To the eldest son he said, select for yourself the choicest of the coins, and your wife may take one ninth of the remaining coins.
The next oldest son was given as many coins as the first son, plus one more since the eldest son had first pick, and his wife also received one ninth of the remaining coins.
The third son received one coin more the the second son, and his wife received one ninth of the rest.
Each of the remaining sons also received as many coins as the previous son, plus one coin, and each wife took one ninth of the rest.
Until the last son took his coins. At that point, there were none left for his wife.
So the father said, here are seven gold coins, each worth twice the value of a silver coin.
Divide these coins among yourselves so that each family will own coins of equal value.
Every coin remained intact. No coin was cut.
How many silver coins did the man originally have?
How many sons does the man have?
56 silver coins; 7 sons.
The eldest son selected two coins.
Each family received one gold coin.
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Good catch. I dropped him cutting and pasting.
To make up of that, here's another of note: probably the first and last of his kind.
You might call him special.
Odd Shard Women Repay Becks Anger
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[1] As several have said, spin the egg and stop it momentarily.
A raw egg's liquid insides are still spinning and when you let go the egg will spin again.
[2] No one got this right.
Either you compared headwind to tailwind flying [not what was asked],
or you said the tailwind aids as much as the headwind hinders,
thus the trip will take the same time.
One said the tailwind slows you down, but I think that was a brain typo.
I recognize such things, because of my great familiarity with them.
Anyway, "same time" is incorrect..
While the tailwind increases your ground speed the same amount the headwind decreases it,
the two speeds [plane+wind] and [plane-wind] do not average to [plane]. Why not?
You don't compare speeds over similar distances to get average speed.
You compare speeds over similar times to get average speed.
As hinted, suppose the wind speed equaled the plane's air speed.
On the tailwind leg of the trip, the plane's ground speed would be doubled.
But on the headwind leg of the trip, the plane's ground speed would be zero.
It would then take forever to complete the trip.
The answer is: any constant wind - in any direction - will increase the duration of a round trip,
provided the plane maintains a constant air speed.
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I'll give you the anagrams for a group of seven athletes who share
an achievement that is unique in the history of their sport.
They all play the same sport, and no one else has achieved what
each of them has achieved.
To make things interesting, anagrams of their teams are tacked on.
But the boundary that separates the two anagrams is not given.
The player and team anagrams divide on word boundaries,
and the words from the two anagrams are not mixed together.
Altho ... that would be the next level of fun, wouldn't it?
An example might help explain.
One of the players might be Alex Rodriguez of the New York Yankees.
His anagram might read like this:
Rig Our Axle Zed / Sneaky Key Owner
Where Rig Our Axle Zed is for Alex Rodriguez
and Sneaky Key Owner is for Hank Steinbrenner.
Uh, no, it's for New York Yankees. Sorry, Hank. [not!]
But I won't give you the "/" - that's part of the puzzle.
I'll just give you Rig Our Axle Zed Sneaky Key Owner
You break it up into two anagrams [on word boundaries] and solve each.
If this isn't clear, post a question. [As if you wouldn't. ]
Here are the anagrams.
Give me the athletes' names and teams, and figure out their unique achievement.
Good luck!
Wiry Sale Rents Labia Mover
Taste Jock Oil Damn His Imp
Third Dancer Bags Ace Choir
Trade Whiny Allow Body Sacs
Wry Lorn Bra Blows Lacy Soda
Rather Ivy Man Swabs Loco Lady
Jerks Can Detox Amateur Cabby Pecans
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GmEiNnIdUS -- Hello?
You gonna give us some help?
Inquiring minds around the globe are on edge!
Bumping this to the top of the list ...
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That works. Good one!
Start with the 3-bulb solution:
[1] Turn S1 on and leave it on.
[2] Leave S2 off.
[3] Turn S3 on for 20 minutes [as good a time interval as any...] then turn if off.
Bulbs controlled by S1, S2 and S3 are respectively ON [hot], OFF [cold] and OFF [warm].
Now do something with S4 that produces a bulb perceptibly different from these three bulbs.
My choice was
[4] Turn S4 on and QUICKLY go into the bulb room.
The bulb controlled by S4 will be, uniquely, ON [warm].
It should be distinguishable from S1's bulb, not being as hot after only a few seconds of being on.
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I admit I had to solve your second spoiler to get the first and 2,3,& 4
... more revealing, but more difficult ... characterize Honest Abe as a conman,
I had a back up that used cabin, more appropriately: Cabin Hall Manor.
But I have a perverse sense of humor, and went hairball.
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Four related anagrams with two clues.
Enjoy!
Sewage Going North
Man Offshores Jet
Loose Tooth Revered
Hairball Conman
Moron Hurts Emu
Oak Toad Huts
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You all know how to solve the 3 lightbulb problem, right?
Davey and the boys nodded in agreement.
OK then, said Alex, try this one.
You've got four switches that control four lightbulbs.
You can't see the bulbs - they're in a closed room.
You can do anything you want with the switches,
say they're marked 1, 2, 3 and 4, and then you can
go into the room and inspect the bulbs - they'll be
marked A, B, C and D.
A pint says you can't match the numbers and letters
correctly.
As usual, it was Jamie who took the bet.
Did Jamie get his pint?
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What if the wind blew at the plane's air speed?
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clarification.
compare the round-trip air travel times with and without a constant wind.
the pilot doesn't know about schedules - kind of like real life.
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I misunderstood ... I thought you knew the answer.
Good luck.
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He's doing what? asked Jamie.
Shh.. here he comes, answered Ian. He's studying physics
on the Internet. I think we should humor him, OK?
So here's yer challenges for tonight, me boys. Alex had a
strange way of smiling when he thought he had his friends
over a barrel. He was smiling now.
[1] how can you tell a raw egg from a hard-boiled egg?
[you can't break the shell or use light, heat, sound or X-rays]
[2] compared to a still day, will a round-trip airplane ride take more,
less or equal time if there's a constant wind blowing?
[a headwind one way, a tailwind the other way]
And there's more where that came from, boys ... have fun.
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Tip of the hat - and a frosty mug - to the Eng Lit major!
I think there's a next-level puzzle built into this.
Can't use it here, cuz the cat's already outta the bag ... but ... maybe somewhere else ...
wouldn't it be kewl to list the five poets and the five novelists and then ask
the solver to pair them up and say why/how the two are linked in each case.
Re: your 2nd post: One pair then could be Gene Roddenberry and Dylan Thomas ... excellent!
And your 3rd post: The final pair would be ... Zeus and Yaweh?
Get some sleep, WB.
Welcome to Minnesota. Brrr!
in New Logic/Math Puzzles
Posted
Ouch. You had to ask ...
I couldn't get a straight answer on that, so the architects and planners called an emergency meeting. Even the mayor came.
The problem with getting executives together is ... when they meet, they think they have to make more decisions.
As you might expect, there is Good News and Bad News.
The good news:
Awaiting your feasibility findings, they haven't laid it out yet. They want your advice on the best layout.
Also, they're dropping some restrictions: You don't have to connect the walkways to the 2nd floor of the stores.
The bad news:
They were going to allow curved walkways. That's out. They have to be straight, and level.
And you won't believe this: one architect told the group he could get a huge price break on the walkways if they were all of the same length.
So they'd like that, if possible; otherwise use whatever lengths work.
They really just want to get this thing done.
Oh, and if it's impossible?
tell them the largest number of stores that can be connected, and they'll just lop some names off the planning list.
By the way, they were impressed with your initiative and insight so far, and they voted to double your consultant fee.
I hope they don't meet again, tho, before we get this thing settled.