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Math and logic riddle thread
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  ExtraCredit  




 
 
    
 

Post Tue, Oct 06 2020, 10:57 am
ChanieMommy wrote:
I have 15 cows. They each give 20 liter of milk day.
Together, they eat up the grass from my pasture in 35 days.

For next season I want to increase my milk production to 500 liter per day. I buy cows like the ones I have, who give the same amount of milk and eat the same amount of grass...

How many days will it take the bigger herd to eat up the grass from my pasture?

Hidden: 

20? Just an estimated guess
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  WitchKitty  




 
 
    
 

Post Tue, Oct 06 2020, 11:05 am
Hidden: 

23+
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  malki2  




 
 
    
 

Post Tue, Oct 06 2020, 11:07 am
ChanieMommy wrote:
I have 15 cows. They each give 20 liter of milk day.
Together, they eat up the grass from my pasture in 35 days.

For next season I want to increase my milk production to 500 liter per day. I buy cows like the ones I have, who give the same amount of milk and eat the same amount of grass...

How many days will it take the bigger herd to eat up the grass from my pasture?


Hidden: 

21
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  malki2  




 
 
    
 

Post Tue, Oct 06 2020, 11:09 am
ChanieMommy wrote:
There are 4 equal glasses next to each other.
Each glass is filled with water to the same height.

One contains water & an egg
One contains water & paper clip
One contains water & a marble
One contains water & a rubber ball

Each object is immersed completely in the water of the respective glass.

Which glass contains most water?


Hidden: 

if the glasses are not filled to the top, there will be the same amount of water in each of the glasses
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  ChanieMommy  




 
 
    
 

Post Tue, Oct 06 2020, 1:12 pm
malki2 wrote:
Hidden: 

if the glasses are not filled to the top, there will be the same amount of water in each of the glasses


The water level in each glass (with object) is the same... In every glass, a different object is immersed. Where is most water?
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  ChanieMommy  




 
 
    
 

Post Tue, Oct 06 2020, 1:13 pm
malki2 wrote:
Hidden: 

21


Yes, that's right!
Applause Applause Applause Applause Applause Applause Applause Applause Applause Applause
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  malki2  




 
 
    
 

Post Tue, Oct 06 2020, 1:14 pm
ChanieMommy wrote:
The water level in each glass (with object) is the same... In every glass, a different object is immersed. Where is most water?


Hidden: 

Same in each
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  ChanieMommy  




 
 
    
 

Post Tue, Oct 06 2020, 1:23 pm
malki2 wrote:
Hidden: 

Same in each


No.
Hidden: 

The most water is in the glass that contains the object with the smallest volume, I.e. the glass with the paper clip
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Tamari  




 
 
    
 

Post Tue, Oct 06 2020, 3:09 pm
You have 12 coins, of which one is counterfeit and has a different weight (you don’t know whether it’s lighter or heavier). You must determine which one is counterfeit by using a balance scale 3 times.
(Warning: It IS complicated. If you don’t have the head for it, don’t bother.)
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  malki2  




 
 
    
 

Post Tue, Oct 06 2020, 5:05 pm
ChanieMommy wrote:
No.
Hidden: 

The most water is in the glass that contains the object with the smallest volume, I.e. the glass with the paper clip


Yes, because if the glasses are not filled to the brim, then each glass will retain its original amount of water. You stated nowhere that the glasses were filled to the brim.
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  WitchKitty  




 
 
    
 

Post Tue, Oct 06 2020, 5:10 pm
malki2 wrote:
No, because if the glasses are not filled to the top, then each glass will retain its original amount of water. You stated nowhere that the glasses were filled to the brim.

The water was filled afterward.
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  malki2  




 
 
    
 

Post Tue, Oct 06 2020, 5:19 pm
WitchKitty wrote:
The water was filled afterward.


No, the water was filled before the objects were immersed. And it doesn’t say that it was filled to the top.
Honestly, I thought that this was the entire point of the middle. What’s the trick if the objects are of different sizes? Obviously the smallest object is going to displace the least amount of water.
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  WitchKitty




 
 
    
 

Post Tue, Oct 06 2020, 5:22 pm
ChanieMommy wrote:
There are 4 equal glasses next to each other.
Each glass is filled with water to the same height.

One contains water & an egg
One contains water & paper clip
One contains water & a marble
One contains water & a rubber ball

Malki, you are looking at this right now. In the present.
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  malki2  




 
 
    
 

Post Tue, Oct 06 2020, 5:25 pm
WitchKitty wrote:
Malki, you are looking at this right now. In the present.


Ok, so I had focused on the line about the objects being immersed and thought that they were immersed afterwards.
Seriously. What’s the difficulty in this riddle if it’s so straightforward? Smaller objects displace less volume. Archimedes principle.
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  tothepoint  




 
 
    
 

Post Tue, Oct 06 2020, 5:58 pm
ChanieMommy wrote:
I have 15 cows. They each give 20 liter of milk day.
Together, they eat up the grass from my pasture in 35 days.

For next season I want to increase my milk production to 500 liter per day. I buy cows like the ones I have, who give the same amount of milk and eat the same amount of grass...

How many days will it take the bigger herd to eat up the grass from my pasture?


[hidden]21.
15*20=300
500-300=200/20=10 more cows.
15*35= 525/10 cows=21[hidden/]
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  ChanieMommy  




 
 
    
 

Post Tue, Oct 06 2020, 6:35 pm
malki2 wrote:
Ok, so I had focused on the line about the objects being immersed and thought that they were immersed afterwards.
Seriously. What’s the difficulty in this riddle if it’s so straightforward? Smaller objects displace less volume. Archimedes principle.


If you want a difficult riddle, you can go back to the key hiddden on the chessboard ... this was a hard one...
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  malki2  




 
 
    
 

Post Tue, Oct 06 2020, 7:14 pm
ChanieMommy wrote:
If you want a difficult riddle, you can go back to the key hiddden on the chessboard ... this was a hard one...


Yes, I’ve been avoiding that one. Maybe post something in-between. . .
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  ChanieMommy  




 
 
    
 

Post Tue, Oct 06 2020, 7:29 pm
malki2 wrote:
Yes, I’ve been avoiding that one. Maybe post something in-between. . .


OK. Same riddle as the chessboard, but there are only 2 fields.

evil king hides key to your freedom under one of two fields. On the fields there are coins he can arrange randomly, heads or tails, he shows you the field where the key is hidden, you must turn one coin, your friend has to know with one guess where the key is, otherwise you will be hanged...
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  ExtraCredit  




 
 
    
 

Post Tue, Oct 06 2020, 7:33 pm
Tamari wrote:
You have 12 coins, of which one is counterfeit and has a different weight (you don’t know whether it’s lighter or heavier). You must determine which one is counterfeit by using a balance scale 3 times.
(Warning: It IS complicated. If you don’t have the head for it, don’t bother.)

This one sounds like the type I enjoy! Let’s try it!
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  malki2  




 
 
    
 

Post Tue, Oct 06 2020, 8:46 pm
ExtraCredit wrote:
This one sounds like the type I enjoy! Let’s try it!


Go for it. This one sounds hard to me and I won’t get to it till later or tomorrow.
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