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Offline OldTrees

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Re: Logic problems https://elementscommunity.org/forum/index.php?topic=38532.msg479927#msg479927
« Reply #12 on: April 12, 2012, 11:14:11 pm »
Ok, time for my old riddles, both are pretty easy.

Your driving and your car breaks down outside of an abandoned house.  You enter, looking for help and try and switch the light, but the powers out.  You wander through the darkness and walk through a door.  The door swings shut and locks behind you, with three doors in front of you.  Each one says, "Enter this door and you will be killed by...".  First door says electric chair, second door says firing squad, third door says poison gas.  Which door do you choose, and why?

Spoiler for Hidden:
Power is out. The chair is broken.

You are scheduled to be executed.  You can either be humiliated publically with a hanging, after your limbs are chopped off, tossed into a pit full of lions that haven't eaten a 3 months, or tarred and feathered, then lit on fire.  Which do you choose?

Spoiler for Hidden:
Lions need food more often. Dead lions are safe despite your bleeding limbs.
"It is common sense to listen to the wisdom of the wise. The wise are marked by their readiness to listen to the wisdom of the fool."
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Offline Laxadarap

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Re: Logic problems https://elementscommunity.org/forum/index.php?topic=38532.msg479938#msg479938
« Reply #13 on: April 12, 2012, 11:44:45 pm »
May I add a riddle? It's a variation of Kakerlake's second one but I suggest that you only open the spoiler if you like mathematics. Well, it's too nice not to be posted here.

Spoiler for riddle:
Infinitely many dwarves are kidnapped by the devil and thrown in hell. He offers them a deal. Tomorrow he'll put a hat on each dwarf's head, such that everyone can see every hat but their own one. The hats are either black or white. They won't be allowed to talk after that, however they can talk during the night before the game begins (and believe me, dwarves talk much and fast). The devil will then ask each dwarf about the colour of their hat (in a private conversation). If only finitely many dwarves make a wrong guess, they'll all come free. How do they escape?

Spoiler for my answer:
If I'm right in thinking that this is saying that if only 1 dwarf guesses right then their all free, they all just have to tell each other to say the same color, like black.  One of them has to get it right, and they all go free.


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Offline Kakerlake

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Re: Logic problems https://elementscommunity.org/forum/index.php?topic=38532.msg479940#msg479940
« Reply #14 on: April 12, 2012, 11:48:34 pm »
Spoiler for my answer:
If I'm right in thinking that this is saying that if only 1 dwarf guesses right then their all free, they all just have to tell each other to say the same color, like black.  One of them has to get it right, and they all go free.
Nope, that doesn't work.
infinite minus 1 is still infinite.
Even if half the dwarves are correct and half aren't, it's still an infinite ammount of dwarfes which guessed wrong, since 1/2 * infinite = infinite.
Same goess if 99.999999% of the dwarfes are right. still an infinite ammount of wrong guesses.

Offline YawnChainHow

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Re: Logic problems https://elementscommunity.org/forum/index.php?topic=38532.msg480051#msg480051
« Reply #15 on: April 13, 2012, 02:29:13 am »
1:
You are on a small island far away from any civilisation and are baking a cake in your oven. To make it the perfect cake, it has to be heated for exactly 45 minutes. One second more or less and it'll explode or something.
All you have are 2 match cords, which each burn exactly 1 hour, but not consistantly as you've hand made them yourself. (so cutting the cord in half won't give you half an hour buring time, but yes, each one burns exactly 1 hour).
Also, you have a bunch of matches and a match box on your island.
How can you say when 45 minutes passed, with the aid of the two match cords?
Spoiler for Hidden:
Two match cords have four ends. We light three ends. The cord with 1 end burning does so at a rate of 1cord/hour (given in problem). The cord with 2 ends burning therefore does so at a rate of 2cords/hour, or 1cord/0.5hour.

The moment the first cord burns out is also the moment the second cord has 30 minutes lifespan left. We then light the other end of the second cord at this moment. This halves its lifespan to 15 minutes and we get a perfect cake once that one burns out too.

Offline dracomageat

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Re: Logic problems https://elementscommunity.org/forum/index.php?topic=38532.msg480258#msg480258
« Reply #16 on: April 13, 2012, 12:52:59 pm »
I like how you give no logical explanation of how or why we're baking cakes on desert islands :p.

Offline AnnaMallTopic starter

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Re: Logic problems https://elementscommunity.org/forum/index.php?topic=38532.msg480261#msg480261
« Reply #17 on: April 13, 2012, 01:04:18 pm »
The cake one was really nice, took me more than half a day to solve :-[

The hat thing...still working on it and by now I would have been dead by dehydration.

The one with the infinite/finite is too heavy for me to grasp its meaning, sounds more like a math equation.

Laxa's were self explanatory.

Offline Thalas

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Re: Logic problems https://elementscommunity.org/forum/index.php?topic=38532.msg480528#msg480528
« Reply #18 on: April 13, 2012, 08:40:03 pm »
12 + Z            Z-13
_____    =     _____
   13                 12

What is Z?



(x — a) * (x — b) * (x — c) * ... * (x — z) = ?   



 99 45 39 36 28 21
72 27 18 21 ?? 13 7




0, 0, 1, 2, ? , 62, 27, 13.


EDIT: Changed the last one because everything is changing
« Last Edit: April 14, 2012, 07:05:50 am by Thalas »

Offline Laxadarap

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Re: Logic problems https://elementscommunity.org/forum/index.php?topic=38532.msg480531#msg480531
« Reply #19 on: April 13, 2012, 08:43:17 pm »
Working on these as I go, but can't spend too much time due to work, I'll finish them in a second
12 + Z            Z-13
_____    =     _____
   13                 12

To what is Z equal to? 
Spoiler for Hidden:
313


(x — a) * (x — b) * (x — c) * ... * (x — z) = ?   



 99 45 39 36 28 21
72 27 18 21 ?? 13 7
Spoiler for Hidden:
15




0, 0, 1, 2, ? , 60, 27, 13, 4
« Last Edit: April 13, 2012, 08:48:36 pm by Laxadarap »
My signature is too messy to read >.<

Offline AnnaMallTopic starter

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Re: Logic problems https://elementscommunity.org/forum/index.php?topic=38532.msg480533#msg480533
« Reply #20 on: April 13, 2012, 08:45:01 pm »
12 + Z            Z-13
_____    =     _____
   13                 12

To what is Z equal to?



(x — a) * (x — b) * (x — c) * ... * (x — z) = ?   






 99 45 39 36 28 21
72 27 18 21 ?? 13 7




0, 0, 1, 2, ? , 60, 27, 13, 4

Can you type that in enlish plz  :P (looks like a foreign language to me)
Spoiler for Hidden:
second 1 is zero... multiplications i did that

Offline Thalas

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Re: Logic problems https://elementscommunity.org/forum/index.php?topic=38532.msg480540#msg480540
« Reply #21 on: April 13, 2012, 09:01:53 pm »

 99 45 39 36 28 21
72 27 18 21 ?? 13 7
15


Wrong

Offline Laxadarap

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Re: Logic problems https://elementscommunity.org/forum/index.php?topic=38532.msg480543#msg480543
« Reply #22 on: April 13, 2012, 09:07:16 pm »

 99 45 39 36 28 21
72 27 18 21 ?? 13 7
15


Wrong


Err what? 99-72=27     
45-27=18 
39-18= 21 
36-21=??             36-21=15???
28-??=13             28-13=15??? 
« Last Edit: April 13, 2012, 09:10:00 pm by Laxadarap »
My signature is too messy to read >.<

Offline UnderneathTheLens

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Re: Logic problems https://elementscommunity.org/forum/index.php?topic=38532.msg480564#msg480564
« Reply #23 on: April 13, 2012, 10:11:06 pm »

 99 45 39 36 28 21
72 27 18 21 ?? 13 7
15


Wrong


Err what? 99-72=27     
45-27=18 
39-18= 21 
36-21=??             36-21=15???
28-??=13             28-13=15???

Look at the last one. 21-13 =/= 7. Your answer would've worked if that last one wasn't there.

 

blarg: