instruction stringlengths 15 30k |
|---|
Once Valera left the house, walked to the villa, painted $11$ fence boards there, and returned home
$2$ hours after leaving. Another day, Valera went to the villa with Olga, together they painted $8$
fence boards (without helping or interfering with each other), left together and returned home
$3$ hours after leavin... |
>What is a minimum number of $1\times 3$ tiles that can be put on a table $5\times 5$ so that no more tiles $1\times 3$ can be put on it?
It is 5 but I can not prove that if we put 4 tiles there is still room for one more. |
What is a minimum number of $1\times 3$ tiles that can be put on a table $5\times 5$ so that no more tiles $1\times 3$ can be put on it? |
Completed Sudoku:
>! [![enter image description here][1]][1]
This is confirmed by the FUN FACT, which refers to
>! a [rickroll video](https://www.youtube.com/watch?v=dQw4w9WgXcQ) with the characters **4,9,X** removed. The green cells in the Sudoku grid are 4, 9, and two numbers which could have an X between.
... |
Once Valera left the house, walked to the villa, painted 11 fence boards there, and returned home
2 hours after leaving. Another day, Valera went to the villa with Olga, together they painted 8
fence boards (without helping or interfering with each other), left together and returned home
3 hours after leaving it. Ho... |
>What is a minimum number of $1\times 3$ tiles that can be put on a table $5\times 5$ so that no more tiles $1\times 3$ can be put on it?
>Borders of a tiles are paralell to sides of the table.
It is 5 but I can not prove that if we put 4 tiles there is still room for one more. |
>What is a minimum number of $1\times 3$ tiles that can be put on a table $5\times 5$ so that no more tiles $1\times 3$ can be put on it?
>Borders of a tiles are parallel to sides of the table.
It is 5 but I can not prove that if we put 4 tiles there is still room for one more. |
I've always been fascinated [Conway's Game of Life](https://en.wikipedia.org/wiki/Conway%27s_Game_of_Life), but one thing that always bugged me was the idea that a cell could live forever. There are alternate rulesets (e.g., [Generations](https://www.conwaylife.com/wiki/Generations)) which address the aging issue, but ... |
*I am of the order of the valiant Knights of the Square Table, an elite fraternity—far more so than those so-called Knights of the Round Table. There are so many of them, but only two of us. I serve my lord the King. We are at war. His Majesty’s mortal enemy has come to us on a most unusual diplomatic mission, accompan... |
*I am of the order of the valiant Knights of the Square Table, an elite fraternity—far more so than those so-called Knights of the Round Table. There are so many of them, but only two of us! I serve my lord the King. We are at war. His Majesty’s mortal enemy has come to us on a most unusual diplomatic mission, accompan... |
> What is the minimum number of 1×3 tiles that can be put on a 5×5 table so that no more 1×3 tiles can be put on it?
> Borders of a tiles are parallel to sides of the table.
It is 5 but I can not prove that if we put 4 tiles there is still room for one more. |
Recently I rewatched "[A Beautiful Mind][1]" based on the life of the American mathematician John Nash.
And the other day I came across a book spread photograph, in which one attentive reader connected exclamation marks, **!**, and got a certain figure (red lines).
[![enter image description here][2]][2]
Ha... |
Answers to some questions:
Coloring statorless p3's:
>! Just initialize them in the young state and let them run! After the initial generation, cells in the envelope of the oscillator will have three kinds, corresponding to the three possible states: dead, born-this-tick (young), and born-last-tick (old). Every cel... |
Answers to some questions:
Coloring statorless p3's:
>! Just initialize them in the young state and let them run! After the initial generation, cells in the envelope of the oscillator will have three kinds, corresponding to the three possible states: dead, born-this-tick (young), and born-last-tick (old). Every cel... |
Recently I rewatched "[A Beautiful Mind][1]" based on the life of the American mathematician John Nash.
And the other day I came across a book spread photograph, in which one attentive reader connected exclamation marks, **!**, and got a certain figure (red lines).
[![enter image description here][2]][2]
**... |
Recently I rewatched "[A Beautiful Mind][1]" based on the life of the American mathematician John Nash.
And the other day I came across a book spread photograph, in which one attentive reader connected exclamation marks, **!**, and got a certain figure (red lines).
[![enter image description here][2]][2]
**... |
If you're looking for some inspiration for making your own puzzle with this mechanism, I can think of two past examples right now (warning: spoilers for the mechanisms for these puzzles!):
- [Foreign Box Office](https://www.mit.edu/~puzzle/2020/puzzle/foreign_box_office/) (from MIT Mystery Hunt 2020): This puzzle in... |
Recently I rewatched "[A Beautiful Mind][1]" based on the life of the American mathematician John Nash.
And the other day I came across a book spread photograph, in which one attentive reader connected exclamation marks, **!**, and got a certain figure (red lines).
[![enter image description here][2]][2]
**... |
How can connecting marks in a text to form a picture be used as part of a puzzle? |
While sorting through things after a move, I came across my first ever crossword made without use of a computer. It was just me, sitting at my family table with a piece of paper and a dictionary. After I found it, I spent the rest of the day (rather than unpacking more boxes as I should've been) making some creative c... |
While sorting through things after a move, I came across my first ever crossword made without use of a computer. It was just me, sitting at my family table with a piece of paper and a dictionary. After I found it, I spent the rest of the day (rather than unpacking more boxes as I should've been) making some creative c... |
While sorting through things after a move, I came across my first ever crossword made without use of a computer. It was just me, sitting at my family table with a piece of paper and a dictionary. After I found it, I spent the rest of the day (rather than unpacking more boxes as I should've been) making some creative c... |
Here's a simple little puzzle.
With the help of the image below, can you figure out who I am?
----------------------
[![enter image description here][1]][1]
[1]: https://i.stack.imgur.com/KSHVo.png
Hint:
>! Look carefully at the second "term". What could possibly be the word i'm looking for? |
Remember the old puzzle?
Can you take just one letter out of an odd number and make it even?
Note the clever wording. It just says make it even; not "make it an even number"
So here is my version.
> Find the **smallest** odd integers and remove "n" letters. The
> remaining letters must be an **even number... |
This is my first time making a Fillomino. Hope you enjoy!
> Fillomino (taken from Nikoli):
>
> - Fill in all empty cells with numbers under the following rules.
> - Divide all of the board into blocks.
> - Fill each block with the same number horizontally or vertically.
> - Each block contains as many cells as ... |
<h3>Info</h3>
**[A .rule file, for Golly users][1]**, provided by AxiomaticSystem
Further features of this cellular automaton beyond the questions posed here, including new spaceships, a puffer and rakes that generate gliders, racers, and swimmers, are in [this thread](https://conwaylife.com/forums/viewtopic.php?... |
For those of you who don't know, these are soma cube parts:
[![enter image description here][1]][1]
They can be assembled into a 3x3x3 cube.
Is it possible to build a hollow cube with the extra little cube being on top, in the middle of the 3x3x3 cube? (So that it looks like you took the middle little cube that ... |
Let's call a positive integer N *self-indulgent* of degree K>2 if for every positive integer k<K the following is true:
More than half of the first k multiples N,2N,...,kN of N contain *with multiplicity* all the digits of N. So, if, for example, the digit 4 occurs three times in the decimal representation of N, the... |
Can you fill a 3x3 grid with every number from 1 to 9, such that the sum of numbers in the first row is equal to the sum of numbers in every 2x2 sub-grid? Can you find multiple solutions? |
Can you fill a 4x4 grid with every number from 1 to 16, such that every row, every column and every 2x2 sub-grid of numbers sum to the same value? |
At first I thought that
>! the thick-walled dots may represent the shape of the following figure.
>! That would mean, that number 2 is the solution, but it has one dot at
>! the top that does not fit the shape.
I then tried to find a pattern in the numbers, but I wasn't able to find one. But here are the number... |
While sorting through things after a move, I came across my first ever crossword made without use of a computer. It was just me, sitting at my family table with a piece of paper and a dictionary. After I found it, I spent the rest of the day (rather than unpacking more boxes as I should've been) making some creative c... |
Partial Answer
>! Perhaps one of the groups are PC, DIGITAL, MAINFRAME, and CAPACITY, connected to COMPUTER? |
"So here is a table of five cities and five countries", said Grandpa.
"With my logic, one city is perfectly matched to the country in the same row. Other four are not. Can you rearrange those four cities so they are a perfect match with the countries?" He asked.
I looked at the table. Did not make sense to me. D... |
"So here is a table of five cities and five countries", said Grandpa.
"With my logic, one city is perfectly matched to the country in the same row. Other four are not. Can you rearrange those four cities so they are a perfect match with the countries?" He asked.
I looked at the table. Did not make sense to me. D... |
The correctly matched pair is:
>! BEIJING and BELARUS
The others should be paired up as follows:
>! NAIROBI and SOMALIA
>! WARSAW and TURKEY
>! AGRA and SINGAPORE
>! KABUL and POLAND
Why? Because:
>! The capital cities all begin with **the symbol** of an element in the Periodic Table, while for ... |
The correctly matched pair in this puzzle is *not* the capital-country combo of WARSAW and POLAND, contrary to what you might expect. Instead, it is:
>! BEIJING and BELARUS
The others should be paired up as follows:
>! NAIROBI and SOMALIA
>! WARSAW and TURKEY
>! AGRA and SINGAPORE
>! KABUL and POLAND
... |
Divide a rectangular sheet of paper with a side length of 2 × 4 into eight 1 x 1 unit squares
and label them as shown in the sketch.
[![enter image description here][1]][1]
Then fold the sheet of paper along the boundaries of the square so that you get a square stack
of paper with the squares on top of each o... |
Divide a rectangular sheet of paper with a side length of 2 × 4 into eight 1 x 1 unit squares
and label them as shown in the sketch.
[![A rectangle grid divided into four columns and two rows, with a single number in each cell. From left to right the top row is 1, 8, 2, 7. From left to right the bottom row is 4, 5... |
Context: I played this game at one point (and lost) and now I'm wondering whether it was possible to win or not.<br><br>
We have a hexagonal board like this:
[![enter image description here][1]][1]
I'm defining the following terms:
1. Each hexagon is called a piece.
2. A wall is a border of the board. There are fo... |
Thanks for registering for our super-not-spam mailing list! We'll let you unsubscribe if you can find a super-special password!
Here are the criteria for the password:
* Matches the following regex expression: `\w.\w\w`
* Includes 3 digits, 1 special character/symbol, and 4 letters
* Contains the letter `r` and t... |
Thanks for registering for our super-not-spam mailing list! We'll let you unsubscribe if you can find a super-special password!
Here are the criteria for the password:
* Matches the following regex expression: `\w.\w\w`
* Includes 3 digits, 1 special character/symbol, and 4 letters
* Contains the letter `r` and t... |
Context: I played this game at one point (and lost) and now I'm wondering whether it was possible to win or not.<br><br>
We have a hexagonal board like this:
[![enter image description here][1]][1]
I'm defining the following terms:
1. Each hexagon is called a piece.
2. A wall is a border of the board. There are fo... |
*<sup>You can find the other Vowelburger™ Riddles [here](https://puzzling.stackexchange.com/search?q=vowelburger+is%3Aquestion)</sup>*
I ordered 9 Vowelburgers™ with buns and meat at the **linguistic restaurant** - help me identify each one from the description on the menu!
| Meat | Vowelburger™ |
|:----:|:-----... |
I think your buns are
>! k and n
and the burgers are
>! catch: con (not sure if this works?)
>! nickname: Ken (probably, thanks @JeremyDover)
>! seal: can (*canning* food is sort of *sealing* it)
>! type: kin
>! sharp: keen
>! stem: cane
>! chip: coin (as in poker chips)
>! mammal: [kine](... |
<sub>*In the spirit of the What is a [Word™](https://puzzling.stackexchange.com/search?q=%22I+call+it%22+title%3A%22what+is%22+title%3Aword+is%3Aquestion)/[Phrase™](https://puzzling.stackexchange.com/search?q=%22I+call+it%22+title%3A%22what+is%22+title%3Aphrase+is%3Aquestion) series started by [JLee](https://puzzling.s... |
<sub>*In the spirit of the What is a [Word™](https://puzzling.stackexchange.com/search?q=%22I+call+it%22+title%3A%22what+is%22+title%3Aword+is%3Aquestion)/[Phrase™](https://puzzling.stackexchange.com/search?q=%22I+call+it%22+title%3A%22what+is%22+title%3Aphrase+is%3Aquestion) series started by [JLee](https://puzzling.s... |
The correctly matched pair in this puzzle is *not* the capital-country combo of WARSAW and POLAND, contrary to what you might expect. Instead, it is:
>! BEIJING and BELARUS
The others should be paired up as follows:
>! NAIROBI and SOMALIA
>! WARSAW and TURKEY
>! AGRA and SINGAPORE
>! KABUL and POLAND
... |
> My prefix is when you do something bad.
>
> Somewhere in the middle you can see a choice between a yes and a no.
>
> And lastly I have a financial suffix.
>
> I also like keeping things in order!
**What am I?**
Hint:
>! The prefix *sounds like* - but not the same spelling. |
Remember the old puzzle?
*"Can you take just one letter out of an odd number and make it even?"*
Note the clever wording. It just says make it *even*; not "make it *an even number*"...
So here is my version:
> Find the **smallest** odd integers and remove "n" letters. The
> remaining letters must be an **... |
"So here is a table of five cities and five countries", said Grandpa.
"With my logic, one city is perfectly matched to the country in the same row. Other four are not. Can you rearrange those four cities so they are a perfect match with the countries?" He asked.
I looked at the table. Did not make sense to me. D... |
Here's a simple little puzzle.
With the help of the image below, can you figure out who I am?
----------------------
[![enter image description here][1]][1]
[1]: https://i.stack.imgur.com/KSHVo.png
Hint:
>! Look carefully at the second "term". What could possibly be the word i'm looking for?
... |
Can you tell what movie this image represents? (the answer is a 5-letter noun)
-------
[![enter image description here][1]][1]
[1]: https://i.stack.imgur.com/fsnhN.png |
Can you tell what movie these images together represents? (the answer is a 5-letter noun)
-------
[![enter image description here][1]][1]
[1]: https://i.stack.imgur.com/fsnhN.png |
There are a few things I do when creating a puzzle, and a few of my own rules I have created through experience, which I shall list below...
----------
### 1. Planning is important
Puzzlemaking takes time and effort. Without your puzzle will have a massive drop in standard. Remember this equation:
Puzzle ... |
First off **THIS ISN'T A PUZZLE.** It's a question about puzzle making, as the title suggests, though I thought I would make it clear, as I can see someone out there making a puzzle with such a title.
**The title is slightly misleading, I want this for my own personal gain. Though I feel others would benefit from th... |
[![enter image description here][1]][1]
**Across**
1\. Singer Collins is performing leads for Prince (6)
5. Broken spine leads to aches (5)
10. Say, 33 across and Cuiabá's northern tip, described by excellent lyric poems (9)
11. Predecessor to NATO's uniform is brown next to green light (5)
12. Invali... |
I know this is a very general question, but these kinds of puzzles are the only ones I can't figure out on my own. Rubik's cube, Twiddle, 16... (the last two are in Simon Tatham's Puzzle collection.)
Is there a general thinking principle that applies to puzzles like these? If not, can you give me an example of how... |
Inspired by [this recent Connect Wall](https://puzzling.stackexchange.com/questions/100752/connect-wall-visual-edition)
The 16 words below may be partitioned into 4 groups of 4 connected words.
The resulting four words also have a connection, but in this case, the final connection is a **picture**, not a word or ... |
A connect wall is usually a set of 16 words which can be split into four groups of four related words. Each of those groups can be described under a single over arching group as well. Unfortunately, that leaves the words feeling very segregated. They've gotten tired of being separated into groups, and they have formed ... |
"Five friends A, B, C, D, and E are working in 5 different departments M, N, O, P and Q and they earn different salaries i.e. 10,000, 15,000, 20,000, 25,000 and 30,000 and they all are of different ages i.e. 24, 26, 28, 30 and 32 years. These all informations are not necessarily in the same order.
· B works in departm... |
Five friends A, B, C, D, and E are working in 5 different departments M, N, O, P and Q and they earn different salaries i.e. 10,000, 15,000, 20,000, 25,000 and 30,000 and they all are of different ages i.e. 24, 26, 28, 30 and 32 years. These all informations are not necessarily in the same order.
· B works in dep... |
Five friends A, B, C, D, and E are working in 5 different departments M, N, O, P and Q and they earn different salaries i.e. 10,000, 15,000, 20,000, 25,000 and 30,000 and they all are of different ages i.e. 24, 26, 28, 30 and 32 years. These all informations are not necessarily in the same order.
- B works in dep... |
*<sup>You can find other Vowelburgers™ Riddles [here](https://puzzling.stackexchange.com/search?q=vowelburger+is%3Aquestion).
</sup>*
Once a restaurant renowned for its delectable burgers, the customers of the **Old Consonant's Diner** have been noticing the quality of food slowly slipping away. Finally, a day of r... |
I don't think a perfect arrangement is possible, but I have no proof. The best I've been able to find with computer assistance is one with 3-fold symmetry.
>! [![enter image description here][1]][1]
Here is [a SageMath link][2] where you can view it. The script is based on the one by PM 2Ring from their answer to... |
I don't think a perfect arrangement is possible, but I have no proof. The best I've been able to find with computer assistance is one with 3-fold symmetry.
>! [![enter image description here][1]][1]
Here is [a SageMath link][2] where you can view it. The script is based on the one by PM 2Ring from their answer to... |
I don't think a perfect arrangement is possible, but I have no proof. The best I've been able to find with computer assistance is one with 3-fold symmetry.
>! [![enter image description here][1]][1]
Here is [a SageMath link][2] where you can view it. The script is based on the one by PM 2Ring from their answer to... |
In a flashback sequence in the film Tomb Raider (2018), Lara is seen trying to solve a wooden puzzle box:
[![enter image description here][1]][1]
It is reminiscent of the [Karakuri group](https://karakuri.gr.jp/en/products/kk-1/)'s "small box" puzzles, but I was not able to find one in [their catalogue](https://k... |
After 10 years and many, many hours spent on this puzzle, I'm slowly seeing it worn out more and more. I'm completely stuck and whenever I pick this up again I end up doing the same that I've already tried before.
| [![An almost impossible one][1]][1] | [![Puzzle angles][3]][3] |
|-------------------------|------... |
Thanks to @JaapScherphuis for pointing me to a similar puzzle by Izumiya's Hakone Parquet Marquetry Shop. This appears to be by the same company/designer, shown [here](https://www.pinterest.co.uk/pin/145522631683961936/):
[![enter image description here][1]][1]
But [does not appear](http://www.yosegi.net/shop/cat... |
In a flashback sequence in the film Tomb Raider (2018), Lara is seen trying to solve a wooden puzzle box:
[![enter image description here][1]](https://www.youtube.com/watch?v=8ndhidEmUbI&t=22s)
It is reminiscent of the [Karakuri group](https://karakuri.gr.jp/en/products/kk-1/)'s "small box" puzzles, but I was not... |
How to deduce a grid for a three category? |
The Castle of Weshire recently declared war on the Castle of Boston. The two armies soon met, the Boston King and Weshire King giving out orders from behind their lines of soldiers, surround by their spiritual advisors.
However, due to recent political drama, the Boston King suspected that there was a traitor in the... |
I believe what you are asking is, "how can I go from a set of categories to drawing a grid"? I will demonstrate how to do this in two ways.
### Purpose of the logic-grid set up
First, let us establish the purpose of the logic grid. **All categories intersect, but only once**. This allows any information relating ... |
[![enter image description here][1]][1]
How do they make the three category setup here? I do not understand how this works. A detailed answer to this is most welcome.
[1]: https://i.stack.imgur.com/XXpit.png |
How to create a logic grid given three categories? |
<sub>*In the spirit of the What is a [Word™](https://puzzling.stackexchange.com/search?q=%22I+call+it%22+title%3A%22what+is%22+title%3Aword+is%3Aquestion)/[Phrase™](https://puzzling.stackexchange.com/search?q=%22I+call+it%22+title%3A%22what+is%22+title%3Aphrase+is%3Aquestion) series started by [JLee](https://puzzling.s... |
I believe what you are asking is, "how can I go from a set of categories to drawing a grid"? I will demonstrate how to do this in two ways.
### Purpose of the logic-grid set up
First, let us establish the purpose of the logic grid. **All categories intersect, but only once**. This allows any information relating ... |
If you choose an answer to this question at random, what is the chance you will be correct?
A) 25%
B) 50%
C) 60%
D) 25%
[![][1]][1]
<sub>(source: [twimg.com](https://pbs.twimg.com/media/B57kNq4IYAEA-Zj.jpg:large))</sub>
[1]: https://i.stack.imgur.com/qhIKi.jpg |
You are given a rectangle with base b and height h with $h>b>0$.
What is the minimum side length of a square, which completely covers this rectangle? |
Initially,
>! The obvious answer seems to be 25%, as there are 4 options.
However,
>! 2 of the options are 25%, so there would be a 50% chance of guessing it randomly so it cannot be the correct answer. 1 of the options is 50%, and of course, the chances of guessing this at random are 25% which is also wrong.
T... |
Initially,
>! The obvious answer seems to be 25%, as there are 4 options.
However,
>! 2 of the options are 25%, so there would be a 50% chance of guessing it randomly so it cannot be the correct answer. 1 of the options is 50%, and of course, the chances of guessing this at random are 25% which is also wrong.
T... |
Mary met her friend Jenny in the library. They gossiped about various things and then each chose a book and went to separate corners of the library and sat down to read. After half an hour Jenny went to Mary to say goodbye and gave her an encrypted message, the one shown below.
217622-1361336262576310-622-2526316832... |
A $3 \times 3$ grid $G$ is filled with every number from $1$ to $9$. Now a new grid $H$ is formed, such that $H_{ij}$ is the number of neighbors of $G_{ij}$ that are greater than $G_{ij}$. Two cells are neighbors if they are adjacent horizontally, vertically or diagonally. Given the grid $H$ shown below, can you derive... |
A $3 \times 3$ grid $G$ is filled with every number from $1$ to $9$. Now a new $3 \times 3$ grid $H$ is formed, such that $H_{ij}$ is the number of neighbors of $G_{ij}$ that are greater than $G_{ij}$. Two cells are neighbors if they are adjacent horizontally, vertically or diagonally. Given the grid $H$ shown below, c... |
> I am uncommon,
> But a worthy goal.
> Rare but abundant
> In hill and hole.
> Who am I?
You may already know the answer, so the task is not to answer the riddle per se, but to solve the following 'What is a Word' puzzle, use the words in the puzzle to find another four word phrase (2 from each side),... |
In the film *Tomb Raider* (2018) there is a wooden puzzle-box with rotating sections. Once the correct sequence of moves is performed, a drawer pops out. See [here](https://www.youtube.com/watch?v=8ndhidEmUbI&t=18):
[![enter image description here][1]][1]
Upon seeing it she says:
> Karakuri. Japanese puzzle.
... |
<sup>*What follows here is a little Easter Egg hunt I've pulled together for you all this year. Ultimately, you need to discover **a single word of four letters in length** which will be revealed by the puzzle once all steps have been fully resolved.*</sup>
<sup>*Happy hunting, and Happy Easter!*</sup>
---
>... |
The 16 words below may be partitioned into 4 groups of 4 connected words.
The resulting four words also have a connection which is a **seven-letter word**.
| | | | |
|:------:|:------:|:-------:|:---------:|
| ONE | POTATO | PINK | FOUR |
| CORN | RANCH | SOY | ... |
First group:
>! **SWEET** (sweetcorn, sweet potato, sweet dreams, sweet pea).
Second group:
>! **NUMBERS?** (one, four, Roman numbers, ???). This would also explain the title.
Third group:
>! **SAUCE?** (soy sauce, ranch sauce, ???, ???).
Remaining words:
>! plank, trick, pink, car, records, single... |
First group:
>! **SWEET** (sweetcorn, sweet potato, sweet dreams, sweet pea).
Second group:
>! **NUMBERS?** (one, four, Roman numbers, ???). This would also explain the title.
Third group:
>! **SAUCE?** (soy sauce, ranch sauce, pink sauce, ???).
Remaining words:
>! plank, trick, car, records, singl... |
Can anybody help me to solve this puzzle? It would be great if someone could help me out with this. I am preparing for some competitive exam but I have been stuck on this problem for the last 3 days.
MARRIED : 47:: BLESS:?
Options are :
62
57
26
32 |
How to solve this analogy? |
I have question about the answer given to [this problem][1]. The problem is reproduced below:
> This is a question from a very old American Mathematical Monthly, if I recall correctly. It has a very nice solution and illustrates an often useful technique.
>
> The integers 1, 2, ..., 225 are arranged in a 15×15 a... |
I am preparing for a competitive exam, and I am stuck on this problem.
MARRIED : 47 :: BLESS : ?
Options are:
1. 62
2. 57
3. 26
4. 32
What is the answer? |
MARRIED : 47 :: BLESS :? |
I have question about the answer given to [this problem][1]. The problem is reproduced below:
> This is a question from a very old American Mathematical Monthly, if I recall correctly. It has a very nice solution and illustrates an often useful technique.
>
> The integers 1, 2, ..., 225 are arranged in a 15×15 a... |
I have question about the answer given to [this problem][1]. The problem is reproduced below:
> This is a question from a very old American Mathematical Monthly, if I recall correctly. It has a very nice solution and illustrates an often useful technique.
>
> The integers 1, 2, ..., 225 are arranged in a 15×15 a... |
I have question about the answer given to [this problem][1]. The problem is reproduced below:
> This is a question from a very old American Mathematical Monthly, if I recall correctly. It has a very nice solution and illustrates an often useful technique.
>
> The integers 1, 2, ..., 225 are arranged in a 15×15 a... |
I have question about the answer given to [this problem][1]. The problem is reproduced below:
> This is a question from a very old American Mathematical Monthly, if I recall correctly. It has a very nice solution and illustrates an often useful technique.
>
> The integers 1, 2, ..., 225 are arranged in a 15×15 a... |
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