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Math and logic riddle thread
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ExtraCredit




 
 
    
 

Post Wed, Oct 21 2020, 12:48 pm
Tamari wrote:
The prisoners are not told whether it's UP or DOWN.

This makes the riddle so much harder! Do I need a pen? LOL
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Tamari




 
 
    
 

Post Wed, Oct 21 2020, 12:51 pm
ExtraCredit wrote:
I think she means that you don’t know whether they are on or off to begin with. In the original riddle you knew both started at off!


That's right.
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Tamari




 
 
    
 

Post Wed, Oct 21 2020, 1:10 pm
What would (x-a)(x-b)(x-c).....(x-z) equal to?
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ExtraCredit




 
 
    
 

Post Wed, Oct 21 2020, 2:16 pm
Tamari wrote:
What would (x-a)(x-b)(x-c).....(x-z) equal to?

Are you looking to fill in the dash?
Hidden: 

(X-d-y)
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doodlesmom




 
 
    
 

Post Wed, Oct 21 2020, 2:52 pm
Tamari wrote:
Twist on this riddle:
In this scenario, what if the positions of the switches were unknown? How will the strategy have to be adjusted so that they can still be freed?

Hidden: 

First person who goes in makes sure A is on on either by moving it up or moving b if it’s in the on position already the rest continues...
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ChanieMommy




 
 
    
 

Post Wed, Oct 21 2020, 2:57 pm
doodlesmom wrote:
Hidden: 

First person who goes in makes sure A is on on either by moving it up or moving b if it’s in the on position already the rest continues...


That's the critical question: does the first person know he is the first person going in?
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Tamari




 
 
    
 

Post Wed, Oct 21 2020, 3:25 pm
ChanieMommy wrote:
That's the critical question: does the first person know he is the first person going in?


No, they wouldn't know.
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Tamari




 
 
    
 

Post Wed, Oct 21 2020, 3:26 pm
ExtraCredit wrote:
Are you looking to fill in the dash?
Hidden: 

(X-d-y)


No. The question is if you continue multiplying using this pattern with all letters of the alphabet, what would that equal to?
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doodlesmom




 
 
    
 

Post Wed, Oct 21 2020, 3:36 pm
Tamari wrote:
No, they wouldn't know.

Are they both on or off, or can one be on and one off
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Tamari




 
 
    
 

Post Wed, Oct 21 2020, 3:50 pm
doodlesmom wrote:
Are they both on or off, or can one be on and one off

Could be anything
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ExtraCredit




 
 
    
 

Post Wed, Oct 21 2020, 3:50 pm
Tamari wrote:
Could be anything

Ready for the answer!
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Tamari




 
 
    
 

Post Wed, Oct 21 2020, 3:51 pm
ExtraCredit wrote:
Ready for the answer!


Really?
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Tamari




 
 
    
 

Post Wed, Oct 21 2020, 3:51 pm
ExtraCredit wrote:
Ready for the answer!


First explain why the original strategy won't work.
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ExtraCredit




 
 
    
 

Post Wed, Oct 21 2020, 3:53 pm
Tamari wrote:
Really?

Yea, I’m drawing a blank! What
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ExtraCredit




 
 
    
 

Post Wed, Oct 21 2020, 3:56 pm
Tamari wrote:
First explain why the original strategy won't work.

Hidden: 

Because let’s say the deal is that only the captain can open switch B. If others find it open they should close it, this way captain keeps count.
In this case I wouldn’t know how to start. Because whatever they decide to do can happen without the captain even entering the first time.
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ChanieMommy




 
 
    
 

Post Wed, Oct 21 2020, 4:36 pm
Tamari wrote:
Twist on this riddle:
In this scenario, what if the positions of the switches were unknown? How will the strategy have to be adjusted so that they can still be freed?


I have a solution, but it would immensly prolong the suffering... but it would keep them from being hanged...

Hidden: 

Every prisoner, except Mr. A, has to switch switch A up twice, at the first possible occasion, Mr. A switches it back to down every time he goes in...
He would have to count 44 downswitches...
Because even if the switch is on "on" to begin with, this would only get the count to 43 downswitches if one of the 23 prisoners never went in...So it does not matter whether the last prisoner gets to switch just once, because the switch was "on" to begin with, or the switch was closed and everyone switched it on twice.


Last edited by ChanieMommy on Wed, Oct 21 2020, 5:01 pm; edited 1 time in total
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ExtraCredit




 
 
    
 

Post Wed, Oct 21 2020, 4:45 pm
ChanieMommy wrote:
I have a solution, but it would immensly prolong the suffering... but it would keep them from being hanged...

Hidden: 

Every prisoner, except Mr. A, has to switch switch A up twice, at the first possible occasion, Mr. A switches it back to down every time he goes in...
He would have to count 44 downswitches...
Because even if the switch is on "on" to begin with, this would only get the count to 43 downswitches...So it does not matter whether the last prisoner gets to switch just once, because the switch was "on" to begin with, or the switch was closed and everyone switched it on twice.
Hidden: 

only Mr. A can switch down. Ok got it. Awesome!
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tothepoint




 
 
    
 

Post Wed, Oct 21 2020, 4:56 pm
ChanieMommy wrote:
I have a solution, but it would immensly prolong the suffering... but it would keep them from being hanged...

Hidden: 

Every prisoner, except Mr. A, has to switch switch A up twice, at the first possible occasion, Mr. A switches it back to down every time he goes in...
He would have to count 44 downswitches...
Because even if the switch is on "on" to begin with, this would only get the count to 43 downswitches...So it does not matter whether the last prisoner gets to switch just once, because the switch was "on" to begin with, or the switch was closed and everyone switched it on twice.


Wow
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ChanieMommy




 
 
    
 

Post Wed, Oct 21 2020, 5:44 pm
Tamari wrote:
What would (x-a)(x-b)(x-c).....(x-z) equal to?


If the last three terms are
Hidden: 

(x-x)(x-y)(x-z)
,
the result would be
Hidden: 

0
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Tamari




 
 
    
 

Post Wed, Oct 21 2020, 6:11 pm
ChanieMommy wrote:
If the last three terms are
Hidden: 

(x-x)(x-y)(x-z)
,
the result would be
Hidden: 

0

Genius
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