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A puzzle related to mathematical facts and objects, whose solution needs mathematical arguments. General mathematics questions are off-topic but can be asked on Mathematics Stack Exchange.
1
vote
Manage Sample Segregation
Assumptions:
I have 2 buckets (items capable of holding more than 1 lb of material). Based on the OP wording "your other bucket"
I can't measure exactly. I can either measure 2 pounds or "everything …
2
votes
Making perpetual motion machine from candy-sharing cats
I decided to see how far I could get just using the numbers in order with cat #1 primed. Which leads to the following:
My notation will simply be lists of numbers
1 2 3 (Cat # in bold)
1 1 1 (Candy #, …
16
votes
First odd number in a "number dictionary"
Under the belief that Kevin has the correct answer with
8,018,018,885
I decided to look at the bonus. Pulling the prime numbers from http://www.primos.mat.br/, #37 (includes all primes that start wi …
7
votes
Accepted
The largest Friday number
I have an answer of
Using the primes
When attempting to solve the Thursday number, I ended up with a list of 260 groups of 24 3-digit primes, where all primes only contained 1, 3, 7, and 9.
All …
2
votes
Arrange the digits from 0 to 9 into a number which is divisible by every integer from 12 to 21
If I take all the factors of 12-21 and multiply them together, I get
So now all that is left to do is to keep adding it to itself until I get a 10 digit number that satisfies the requirements. The …
6
votes
Accepted
Puzzle with numbers in rings
The X is
That gives us the following equations:
28
votes
Accepted
The frog concerto
The answer is
This is because
Now, to calculate the position for 24 frogs, I broke it up into 2 parts:
Therefore
25
votes
10 9 8 7 6 5 4 3 2 1 = 2016
22 characters
I looked at @Will's answer and found a way to improve on it.
19
votes
Coin weighing with a single weighing device
I can manage it in 8 weighings.
I started with mdc32's answer and expanded on it. I was able to weigh 6 coins in 4 weighings. I suspect 12 can be done in 7 weighings, but I haven't figured out a way …
2
votes
Musings at a chess tournament
I used a different approach than Callidus, but ended up at exactly the same target, and made exactly the same mistake.
To get the highest possible number of nonsensical games, the ideal situation wou …
13
votes
Accepted
The Ebbozonian coin weighing puzzle
The answer is
I ran a test with 6 coins, leaving 2 off each time. I got that to work. This made me think I could scale it up to 10 coins by doing 3 on each side. I tried that and got all the cases …
2
votes
Another Ebbozonian coin weighing puzzle
As I mentioned in a previous comment, checking all weighings can take more than an hour on a fast machine. So I stopped trying to solve it that way, and only used it to check possible answers.
Weighi …
6
votes
Strategy to beat the Casino
I have an answer that is similar to TTT's answer and always gets you $5/9$, but sometimes fails to get $6/9$. I'm hopeful that it can be tweaked to always get $6/9$ but I haven't figured that part out …
2
votes
Accepted
Matchsticks 9 + 9 = 8
Since it's "lateral"
7
votes
A function. Really?
It looks like the answer is
So 5 is
6 is
7 is
And 10 is