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Math and logic riddle thread
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malki2




 
 
    
 

Post Fri, Sep 25 2020, 11:47 am
ChanieMommy, sorry to nitpick (actually I’m not sorry), but based on some of your jargon I have picked up that you reside across the pond. I’m assuming England. So shouldn’t the title be “Maths and Logic”? I thought you guys call it Maths, as in short for Mathematics, while it’s we Americans who call it Math without the “s”. And what’s up with the “s” in Logics? Where does that come from?
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ChanieMommy




 
 
    
 

Post Sat, Sep 26 2020, 6:28 pm
Cherryl's Birthday

Cherryl tells Albert and Bernhard:

"My birthday is on one of those days:

May 15, or May 16 or May 19 or
June 17 or June 18 or
July 14 or July 16 or
Aug. 14 or Aug. 15 or Aug. 17

Now I whisper into Albert's ear in which month my birthday falls
and I whisper into Bernhard's ear on which day of the month my birthday falls".

And she does it. Now Albert knows the month, Bernhard knows the day.

Albert says:
"I don't know when Cherryl's birthday is, but I know that Bernhard doesn't know either!"
Bernhard says:
"Now I know when Cherryl's birthday is!"
Albert says:
"Now I know too when Cherryl's birthday is!"

Do you know now when Cherryl's birthday is?
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ExtraCredit




 
 
    
 

Post Sat, Sep 26 2020, 8:21 pm
ChanieMommy wrote:
Cherryl's Birthday

Cherryl tells Albert and Bernhard:

"My birthday is on one of those days:

May 15, or May 16 or May 19 or
June 17 or June 18 or
July 14 or July 16 or
Aug. 14 or Aug. 15 or Aug. 17

Now I whisper into Albert's ear in which month my birthday falls
and I whisper into Bernhard's ear on which day of the month my birthday falls".

And she does it. Now Albert knows the month, Bernhard knows the day.

Albert says:
"I don't know when Cherryl's birthday is, but I know that Bernhard doesn't know either!"
Bernhard says:
"Now I know when Cherryl's birthday is!"
Albert says:
"Now I know too when Cherryl's birthday is!"

Do you know now when Cherryl's birthday is?

Hidden: 

July 16
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ChanieMommy




 
 
    
 

Post Sat, Sep 26 2020, 11:07 pm
ExtraCredit wrote:
Hidden: 

July 16

Yes, that's right!

Applause Applause Applause Applause Applause Applause Applause Applause
Hooray Hooray Hooray Hooray Hooray Hooray
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ExtraCredit




 
 
    
 

Post Sun, Sep 27 2020, 5:41 pm
ChanieMommy wrote:
Yes, that's right!

Applause Applause Applause Applause Applause Applause Applause Applause
Hooray Hooray Hooray Hooray Hooray Hooray

This was a good one.
Gmar chasima tova and an easy fast!
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SisterSix




 
 
    
 

Post Mon, Sep 28 2020, 9:21 pm
ChanieMommy wrote:
Yes, that's right!

Applause Applause Applause Applause Applause Applause Applause Applause
Hooray Hooray Hooray Hooray Hooray Hooray


Can you please explain the result? I thought June 17
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ExtraCredit




 
 
    
 

Post Mon, Sep 28 2020, 9:22 pm
SisterSix wrote:
Can you please explain the result? I thought June 17

Maybe after my fasting headache will go away. Can't Believe It Can't Believe It Banging head
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doodlesmom




 
 
    
 

Post Tue, Sep 29 2020, 12:03 am
ChanieMommy wrote:
Cherryl's Birthday

Cherryl tells Albert and Bernhard:

"My birthday is on one of those days:

May 15, or May 16 or May 19 or
June 17 or June 18 or
July 14 or July 16 or
Aug. 14 or Aug. 15 or Aug. 17

Now I whisper into Albert's ear in which month my birthday falls
and I whisper into Bernhard's ear on which day of the month my birthday falls".

And she does it. Now Albert knows the month, Bernhard knows the day.

Albert says:
"I don't know when Cherryl's birthday is, but I know that Bernhard doesn't know either!"
Bernhard says:
"Now I know when Cherryl's birthday is!"
Albert says:
"Now I know too when Cherryl's birthday is!"

Do you know now when Cherryl's birthday is?


Hidden: 

July 16

Here’s how:
If Albert knew that Bernhardt can’t know then it wasn’t a date which was specific for a month like May 19 or June 18
So the month Albert has is either July or august

Once Bernhardt knows that Albert claims he can’t know and hat it must be July or august, and he claims he got it then it must be the date unique to that month and that is how Albert figures it out....

Guess I’m not very clear....
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ExtraCredit




 
 
    
 

Post Wed, Sep 30 2020, 12:08 pm
Nothing new here? Can use one on my coffee break!
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ChanieMommy




 
 
    
 

Post Wed, Sep 30 2020, 12:13 pm
An army can form either 13 equal squares (equal number rows and columns, with an equal number of men in each row and column) without the commander or one big square with the commander.

How many men are there in the army, including the commander?
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ChanieMommy




 
 
    
 

Post Wed, Sep 30 2020, 12:18 pm
doodlesmom wrote:
Hidden: 

July 16

Here’s how:
If Albert knew that Bernhardt can’t know then it wasn’t a date which was specific for a month like May 19 or June 18
So the month Albert has is either July or august

Once Bernhardt knows that Albert claims he can’t know and hat it must be July or august, and he claims he got it then it must be the date unique to that month and that is how Albert figures it out....

Guess I’m not very clear....


Yes, that's right, and you explained it perfectly...

Hidden: 

May and June were excluded, as you explained.

When Bernhard says he knows now, the 14th is excluded, because this day appears in July and August, so if it was the 14th, Bernhard could not know which month it was.

Now Bernhard said he knows. Albert, who knows the month, says he knows too. This means it cannot be August, because in August he would still have 2 possibilities left. So it has to be July 16th.
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ExtraCredit




 
 
    
 

Post Wed, Sep 30 2020, 12:21 pm
ChanieMommy wrote:
An army can form either 13 equal squares (equal number rows and columns, with an equal number of men in each row and column) without the commander or one big square with the commander.

How many men are there in the army, including the commander?

Oh thank you! Let’s see...
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ExtraCredit




 
 
    
 

Post Wed, Sep 30 2020, 12:44 pm
ChanieMommy wrote:
An army can form either 13 equal squares (equal number rows and columns, with an equal number of men in each row and column) without the commander or one big square with the commander.

How many men are there in the army, including the commander?

Hidden: 

I’m up to over 30,000 and still not getting it. Am I on the right track or I missed it already?
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ChanieMommy




 
 
    
 

Post Wed, Sep 30 2020, 12:58 pm
ExtraCredit wrote:
Hidden: 

I’m up to over 30,000 and still not getting it. Am I on the right track or I missed it already?


Yes, right track... it is over the number you cited... it's a big army
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ExtraCredit




 
 
    
 

Post Wed, Sep 30 2020, 1:40 pm
ChanieMommy wrote:
Yes, right track... it is over the number you cited... it's a big army

Ok I was afraid I might’ve missed it and then will keep working till 1M. So I’ll continue!
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ExtraCredit




 
 
    
 

Post Wed, Sep 30 2020, 1:50 pm
Ready to give up. My calculator is tired already. Surprised
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ChanieMommy




 
 
    
 

Post Wed, Sep 30 2020, 1:58 pm
Here is the answer:

Hidden: 

You can either have 13 sqaures with a side length of 180 men or one big square with a side lenght of 649 men
13*1802+1 = 6492 = 421'201
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malki2




 
 
    
 

Post Wed, Sep 30 2020, 2:49 pm
I got
Hidden: 

180 meaning 421199 soldiers
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malki2




 
 
    
 

Post Wed, Sep 30 2020, 2:51 pm
I used Excel again
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malki2




 
 
    
 

Post Wed, Sep 30 2020, 2:52 pm
Good riddle
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