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You just got a new clock, but it's broken. Your friend tells you he can fix it, but he needs a little bit of data from it. One thing he needs is how many times 1 appears in the run of 2 days.
The rules of this broken clock;
* This is a digital, 12 hour display (AM/PM) clock
* Every second hour it is blank (odd... |
N is a number where each digit is divisible by its place, for example:
> 1527
1 has to be divisible by 1, 5 divisible by 2, 2 divisible by 3, and 7 divisible by 4.
Additionally, N must be divisible by all of its digits.
It has to be at least 5 digits long, and have at least 3 different digits.
Does N exi... |
Question:
**How many times does *variable* appear?**
Answer: (is in the question)
>! Twice.
Explanation:
>! The word *variable* appears in the question once, and also once in the extraneous data. |
Consider the following diagram of your prized 9' x 12' Persian rug:
![Persian rug diagram][1]
During some recent fes... |
I am not from US. I have heard that US laws don't allow to cremate a man living in Texas, in New York. Can anyone tell me why?
Note: Don't think that I have posted this question here by accident. It's a puzzle. Really. Trust me. ;) |
I am not from US. I have heard that US laws don't allow to cremate a man living in Texas, in New York. Can anyone tell me why?
---
*Note: Don't think that I have posted this question here by accident. It's a puzzle. Really. Trust me. ;)* |
Here is a quick riddle.
We are twins. Between us something smells. Can you guess who we are??
________________________________________
*Note: Please place your answers in spoiler tags.* |
_ _ _ _ _ × 8 = _ _ _ _ _
There is a number that you can put in the left-hand side of the above equation so that the blanks are filled in using every digit from 0 to 9 exactly once. What is that number? |
Consider the following diagram of your prized 9' x 12' Persian rug:
![Persian rug diagram][1]
During some recent fes... |
A small family of chickens were discussing very important business, the conversation went like this:
"The farmer needs eggs! Someone has to lay them!"
"No quiet down! You have to be quiet! The farmer will hear you!"
"But mom!"
"No buts! I'll lay the eggs! Go back to your rooms!"
"Fine!"
Later that nig... |
Can you form a 3x3 square using all of the following numbers
1, 2, 4, 8, 16, 32, 64, 128, and 256
In such a way as have it so every row, column and diagonal had the same product? If so how?
**The product is the result of a multiplication equation. *e.g. 5x5=25; 25 is the product*** |
How many possibilities are there for n and m when given this equation?
n^m = m^n
How many possibilities are there when dealing with positive integers? What about any integers? Or fractions and decimals?
*Please include if there are a pattern to the numbers; that is, if any exist*
**Bonus: What if we open it... |
How many possibilities are there for n and m when given this equation?
n^m = m^n
How many possibilities are there when dealing with positive integers? What about any integers? Or fractions and decimals?
*Please include if there are a pattern to the numbers; that is, if any exist*
**Bonus: What if we open it... |
Is it possible to form a $3\mbox{x}3$ grid containing the set of numbers: $${1,2,4,8,16,32,64,128,256}$$
in such a way that the product of the numbers in every row, column and diagonal are the same? If so, how? |
Can you fill a 3x3 grid with these numbers so the products of the rows and columns are the same? |
Consider a variant of Tic-Tac-Toe and [Gomoku][1] on a board that's infinite in every direction. `X` wins by getting a line of 1000 `X`'s horizontally, vertically, or diagonally. `O` can only win by preventing `X` from winning indefinitely. `X` gets to move twice each turn and starts, so the turn order goes `XXOXXOXXO.... |
Consider a variant of Tic-Tac-Toe and [Gomoku][1] on a board that's infinite in every direction. `X` wins by getting a line of 1000 `X`'s horizontally, vertically, or diagonally. `O` cannot win but plays for a draw by preventing `X` from winning indefinitely. `X` gets to move twice each time and starts, so the turn ord... |
Yes, X can win.
To simplify things I'm going to take advantage of your rules that O cannot win, so that X doesn't need to worry about O getting 1000 in a row.
Just consider a 1 dimensional game, chose an origin, and label the locations with integers in order.
Define the "bin $K$" as the set of spaces $x$ such ... |
Yes, X can win.
To simplify things I'm going to take advantage of your rules that O cannot win, so that X doesn't need to worry about O getting 1000 in a row.
Just consider a 1 dimensional game, chose an origin, and label the locations with integers in order.
Define the "bin $K$" as the set of spaces $x$ such ... |
What word follows AMPLE in this sequence:
> REDDEN
> SEAM
> PLEA
> REARED
> DENSE
> AMPLE
> ? |
What is the next word in this sequence? |
Consider an infinite N dimensional Cartesian lattice. For N=1 we just have a line, with each point having two neighbors. For N=2 the game surface is a plane, with each point having 8 neighbors (4 on "diagonals"). For N=3, each point has 26 neighbors (20 on "diagonals"). Etc.
The rules are `X` moves first, but `O... |
Consider the game surface to be an infinite N dimensional Cartesian lattice.
The rules are `X` moves first, but `O` gets to move twice each turn, so the move order goes `XOOXOOXOO...`. The goal is for `X` to get as long a sequence of neighboring `X` pieces in a straight line as possible. The goal of `O` is only to ... |
You're writing the final exam for your Introduction to Probability and Statistics course, and once again you've failed to study (you were up all night solving online brainteasers).
The exam is multiple choice. It asks 120 questions, each of which has possible answers **A**, **B**, and **C**. You haven't the faintest... |
Let's say you have a standard bagel (one that is NOT pre-sliced). How can you cut this bagel into two interlocking rings? The rings must never be broken. |
Since the rule was clarified and a more fitting answer proposed, this answer should be on hold (though I don't know how to do that), as I haven't thought of any better solutions to the current problem. Admittedly, I couldn't think of a formal way for bad guys to beat that strategy within its framework. But it feels rat... |
#The answer is 'a wave'
One thing that can pass through the mirror is a (perfect harmonic?) wave.
This is due to the fact that the wave that coming from 'the other side' is reflected, and as such actually continues the wave from your side.
Of course this effect goes both ways. |
It is not a physical object, but one thing that can pass through the mirror is a (perfect harmonic?) wave.
This is due to the fact that the wave that coming from 'the other side' is reflected, and as such actually continues the wave from your side.
Of course this effect goes both ways. |
You're taking the final exam for your Introduction to Probability and Statistics course, and once again you've failed to study (you were up all night solving online brainteasers).
The exam is multiple choice. It asks 120 questions, each of which has possible answers **A**, **B**, and **C**. You haven't the faintest ... |
Two sisters were born on the same day in the same year, yet they aren't twins. They have other sisters, but they don't share their birthday. What's going on? Explain. |
Two sisters were born on the same day in the same year, yet they aren't twins. None of their other sisters share the birthday. What's going on? Explain. |
Ok Just to ensure that this question gets an answer I am posting this, and attributing it to community.
Credits to http://www.dailymail.co.uk/sciencetech/article-2232924/How-make-Mobius-bagel-Sliced-just-right-breakfast-snack-makes-linked-halves-curious-mathematical-properties.html
The basic concept is to consid... |
How to many 21 from the numbers 1, 5, 6, 7? You can use the operations of addition, subtraction, multiplication and division, as well as brackets. You must use each number once.
Hint:
>! Try to make 1 from 5, 6, 7, 21. You must use all the numbers. |
How to make 21? |
>!Same day, same year but what about a different month? e.g. 1st January 2000 and 1st December 2000 (more than 9 months apart) |
How to many 21 from the numbers 1, 5, 6, 7? You can use the operations of addition, subtraction, multiplication and division, as well as brackets. You must use each number once.
Hint:
>! Try to make 1 from 5, 6, 7, 21. |
How to make 21 from the numbers 1, 5, 6, 7? You can use the operations of addition, subtraction, multiplication and division, as well as brackets. You must use each number once. You cannot combine two numbers i.e. 15 cannot be used as 15
Hint:
>! Try to make 1 from 5, 6, 7, 21. |
OK, I did a computer search.
But 4x4 is too big for a brute-force search. The case 3x4 took a night to complete.
But here are the maximum nb of moves for smaller sizes:
1 2 3 4 5 6 7 8 9 10
+-------------------------------
1 | 0 1 3 6 10 15 21 28 36 45
2 | 1 4 9 14 21 ... |
What is the lowest number you cannot make with 1, 5, 6, 7? |
So, I have played [this game](http://boardgamegeek.com/boardgame/128882/resistance-avalon) probably 50+ times with friends, though not always with 10 and not always with the leader variant in the proposed puzzle.
One difficulty I have with the proposed solutions involving the leader are the weakness you correctly id... |
So, I have played [this game](http://boardgamegeek.com/boardgame/128882/resistance-avalon) probably 50+ times with friends, though not always with 10 and not always with the leader variant in the proposed puzzle.
One difficulty I have with the proposed solutions involving the leader is the weakness you correctly ide... |
Prompted by http://puzzling.stackexchange.com/questions/3641/how-to-make-21, I wondered what numbers you can form with the allowed numbers and operations.
Generally, what numbers cannot be formed with a combination of 4 given numbers and the operators +, -, *, /?
More specifically, what is the lowest positive in... |
What is the lowest number you cannot make with a set of 4 numbers and the 4 basic operators? |
Prompted by http://puzzling.stackexchange.com/questions/3641/how-to-make-21, I wondered what numbers you can form with the allowed numbers and operations.
Generally, what numbers cannot be formed with a combination of 4 given numbers and the operators +, -, *, /?
More specifically, what is the lowest positive in... |
What is so fascinating over a puzzle, why is it so much fun to solve? Especially a puzzle game, what makes it so fun to complete? |
What makes Puzzles so Appealing? |
This is an old one but I don't see it here.
A man Stepped out of his tent with his rifle and walked 1 mile south, 1 mile East and 1 Mile North. Then he shot a bear in front of his tent.
What color was the bear? |
What is so fascinating over a puzzle, why is it so much fun to solve? Especially a puzzle game, what makes it so fun to complete?
I want to make a puzzle game so I need a little bit of information on why they are so enjoyable. |
"According to neuroscientist Daniel Bor, a research fellow at the University of Sussex in England and author of the new book The Ravenous Brain: How the New Science of Consciousness Explains Our Insatiable Search for Meaning, it’s because we take great pleasure in pattern-finding. What’s more, that conclusion has big i... |
If I cut a perfectly circular pizza through its center 6 times at 30° angles, I get 12 pieces of equal area.
If I don't have to cut through the center, I can cut in a grid shape to divide the pizza into 16 pieces, but only the middle four will be of equal area.
Theoretically I could cut the pizza into a total of ... |
If I cut a perfectly circular pizza through its center 6 times at 30° angles, I get 12 pieces of equal area.
If I don't have to cut through the center, I can cut in a grid shape to divide the pizza into 16 pieces, but only the middle four will be of equal area.
Theoretically I could cut the pizza into a total of ... |
Cut two equilateral triangles?
This should give you both the same size pieces on the outside, as well as same size pieces on the inside.
![enter image description here][1]
[1]: https://i.stack.imgur.com/GknR6.gif |
Here is a quick riddle.
> We are twins. Between us something smells. Can you guess who we are??
Please place your answers in spoiler tags. |
Here is puzzle that was lifted from an old essay of mine, that was adapted from a puzzle in an old puzzle book.
> The great shah has invited a young boy into his palace as a student. While he is not busy managing his kingdom, he is a scholar of mathematics and invites the brightest learners from all over the country... |
If each player takes 1, 3 or 5 stones, **the key number in this puzzle is '6':**
Regardless of what one player takes, the other can adjust accordingly so that 6 in total are removed. (1+5, 3+3, 5+1). So as long as the number of remaining stones before the shah's turn is dividable by 6, the student can force a win.
... |
Here is puzzle that was lifted from an old essay of mine, that was adapted from a puzzle in an old puzzle book.
> The great shah has invited a young boy into his palace as a student. While he is not busy managing his kingdom, he is a scholar of mathematics and invites the brightest learners from all over the country... |
There are some weights on the two sides of a balance scale. The mass of each weight is an integer number of grams, but no two weights on the same side of the scale share the same mass. At the moment, the scale is perfectly balanced, with each side weighing a total of W grams.
Suppose W is less than the number of weigh... |
- Cade has six red stamps and three blue ones.
- In his collection, seven stamps are from Argentina and six stamps are
from Sweden.
- One stamp is purple and it is not from Argentina or Sweden.
- Two of his Argentine stamps are red and one is blue.
- Two of his Swedish stamps are blue and three are red.
... |
How many stamps? |
How to make 21 from the numbers 1, 5, 6, 7? You can use the operations of addition, subtraction, multiplication and division, as well as brackets. You must use each number once.
You cannot combine two numbers i.e. 1 and 5 cannot be used as 15
Hint:
>! Try to make 1 from 5, 6, 7, 21. |
A drawer contains a mixture of red socks and blue socks, at most 2014 in total. It so happens that, when two socks are selected randomly without replacement, there is a probability of precisely 2/3 that both are red or both are blue.
What is the maximum possible number of red socks in the drawer that is consistent w... |
Number of socks? |
Regardless of what one player takes, the other can adjust accordingly so that 6 in total are removed. (1+5, 3+3, 5+1). So as long as the number of remaining stones before the shah's turn is dividable by 6, the student can force a win.
The 'trick' lies in the first turn. Given 42 is a multiple of 6, no matter what op... |
If I give you one of each letter in the alphabet, what's the largest you can spell (In word form)?
**Bonus: What's the smallest?**
**Bonus 2: What if you can use the words "minus", "subtract", "plus" and "times"?** |
What's the Largest number you can Spell? |
I think the answer isn't as simple as the question. So, I need your help. :)
Assumed I have a box, sized 100cm X 100cm X 100cm (width X length X height). How many balls can fit in that box (the ball is 1cm in diameter)? Thanks. |
How many balls can fit in the box? |
Canada is full of Canadians—about 34 million of them at present. What you may not have known is that all Canadians are the same age.
Don't believe me? I'll prove it to you.
Suppose there are exactly $n$ people in Canada, where $n$ is a whole number. An inductive proof of my claim is simple: we assume that a... |
Why are all Canadians the same age? |
Last year, December 21 2013, you were awarded the "#1 detective in the world" for solving more than 50 murder crimes. Your boss gives you a promotion but you would have to move to Chicago, you agreed and took your new position. Your boss tells you that you will be taking a plane to Chicago, the ticket and everything ha... |
(Got this from my facebook news feed.)
A friend of mine, upset after the earlier housing number [conundrum][1], decided to make me guess his. He said:
1. If my house number is a multiple of 3, it's from 50 to 59.
2. If it is not a multiple of 4, then it is a number from 60 to 69.
3. If it is not a multiple... |
I don't think I've got it 100% solved, but here's what I'm thinking...
The suspect interviews are happening THE DAY AFTER the body was found. There's nothing odd about the woman from jogging at 6:30am one day and then being in fancy outfit during business hours the next day.
The murder seems to have happened in t... |
An old man and his mute nephew always wanted to visit some beatiful tropical island.
"_Before my sight leaves me, I want to see how a real palm looks like!_", said the old man. He was lying. His sight had already left him, he could still see silhouettes and shadows, but comunication in sign language with his niece ... |
An old man and his mute niece always wanted to visit some beatiful tropical island.
"_Before my sight leaves me, I want to see how a real palm looks like!_", said the old man. He was lying. His sight had already left him, he could still see silhouettes and shadows, but comunication in sign language with his niece w... |
An old man and his mute niece always wanted to visit some beatiful tropical island.
"_Before my sight leaves me, I want to see how a real palm looks like!_", said the old man. He was lying. His sight had already left him, he could still see silhouettes and shadows, but comunication in sign language with his niece w... |
Objection!
>! Why is the letter e considered as tiny? If we're talking about written language components, the dot would be more appropriate in my opinion. "It's in here" can imply that the variable is present in the question block, not just the word "here".
My two cents:
>! The dot. It appears multiple times in... |
If I cut a perfectly circular pizza through its center 6 times at 30° angles, I get 12 pieces of equal area.
If I don't have to cut through the center, I can cut in a grid shape to divide the pizza into 16 pieces, but only the middle four will be of equal area.
Theoretically I could cut the pizza into a total of ... |
Examine the following sequence:
O, T, T, F, F, S, S, E, ?
Can you determine what comes next?
|
What comes next in this sequence? |
With a bit of lateral thinking, all available balls of the given size (infinity?) can **individually** fit in the box. |
With a bit of lateral thinking, all available balls (infinity?) can **individually** fit in the box. |
Carl and Mike are two great friends. They grew togheter and stay together a lot. They both _LOVE_ the deliciuos turkish meal [Kebab][1] and eat it very often.
One day Carl comes to Mike with great news.
"A new fantastic kebab shop recently opened in town!", said Carl. "_There are already a lot of kebab shops in t... |
Pointlessly difficult to get a meal here, isn't it? |
> 4, 23, 20, 12, 14, 9, 20, 19, ?
Also explain your reasoning. |
**Known Evidence:**
>!1. Victim has 2 gun wounds, 3 stab wounds, and red marking from strangle
>!2. Artifacts: piece of paper "He deserved it! 1H8H1M" with no finger prints, clean new knife, poodle blood, size 9 men's shoe
**Known Suspects:**
>!1. Young white man<br>
>!2. Tall blond woman<br>
>!3. Homeless man
... |
> 4, 23, 20, 12, 14, 9, 20, 19, ?
> 19, -3, -8, 2, -5, 11, -1, ?
> -22, -5, -6, -7, -16, -12, ?
> 17, -1, -1, -9, 4, ?
> -18, 0, -8, 13, ?
> 18, -8, 21, ?
> -26, 29, ?
> 45, ?
We can achieve that by using a difference table. Then starting by the bottom we can work out way up by rep... |
Carl and Mike are two great friends. They grew together and stay together a lot. They both _LOVE_ the deliciuos turkish meal [Kebab][1] and eat it very often.
One day Carl comes to Mike with great news.
"A new fantastic kebab shop recently opened in town!", said Carl. "_There are already a lot of kebab shops in t... |
>! It was the road raged driver.
>! `1H8H1M` is his licence plate. He is unapologetic about it, since he thinks the victim deserved it (due to bad driving). You see, he is the owner of the poodle. Have you never heard of dogs looking like their owners?
>! "(...) shaggy brown hair, small nose, and big ears (...)"... |
**Experimenting with smaller boards**
I did a computer search.
But 4x4 is too big for a brute-force search. The case 3x4 took a night to complete.
But here are the maximum nb of moves for smaller sizes:
1 2 3 4 5 6 7 8 9 10
+-------------------------------
1 | 0 1 3 6 10 15... |
> It is invisible to the eye, yet it is a stranger to no one. It weighs
> less than air, yet it is sharper and more keen than any knife, sword, or
> blade. It comes from nothing, but it has the power to vanquish armies and
> destroy cities
What is it?
(Don't forget those spoiler tags!) |
> It is invisible to the eye, yet it is a stranger to no one. It weighs
> less than air, yet it is sharper and more keen than any knife, sword, or
> blade. It comes from nothing, but it has the power to vanquish armies.
> What is it that I am speaking of?
(Don't forget those spoiler tags!) |
This puzzle is quite hard especially trying to link every clues in the story. Let's try:
**Wounds**
>! -Gun Shot<br/>-Red signs on his neck<br/>-Knife wounds<br/><br/>I would be surprised if a gun shot in the lip would kill. AndMoreover, he assumed he was strangled but we can't be sure. The victim could possibly be... |
Tomorrow you will meet three sisters, and be married to one of them. The eldest always tells the truth, the youngest always lies. The middle sister lies or tells the truth at random. Knowing this, **you would like to marry the either the eldest or the youngest**—so you'll know where you stand.
Conscious to their own... |
Which sister to marry? |
This puzzle is quite hard especially trying to link every clues in the story. Let's try:
**Wounds**
>! -Gun Shot<br/>-Red signs on his neck<br/>-Knife wounds<br/><br/>I would be surprised if a gun shot in the lip would kill. AndMoreover, he assumed he was strangled but we can't be sure. The victim could possibly be... |
Name the sisters A, B and C. A is the one who came to you. You now ask her:
"You are the oldest $\oplus$ B is the middle sister?"
If you get back the answer yes, then B is either the youngest or the oldest - pick B.
If you get back the answer no, then C is either the youngest or the oldest - pick C.
This hi... |
First off, I find it odd that while it seems that the action is placed in Chicago, I can't actually find a Peele street (or boulevard or avenue etc.) on the city map.
Additionally, it seems to me like the *"red markings"* are a red herring of sorts. Given that the body is found at the intersection of Peele and Mai... |
Ask Abigail:
"Is Lucy older than Eleanor?"
Marry the sister she indicates as younger.
Explanation:
- If Abigail is the eldest: She is telling the truth, and so marrying
the person she indicates as the youngest is marrying the person who
is always lying, which is acceptable.
- If Abigail is the mi... |
While browsing the Internet for medical lore, you happen on a medical encyclopedia article about purple spots disease.
Instances of purple spots disease have been documented in 150 countries. The disease affects one in every 100,000 individuals and there is no known cure. Individuals who have the disease remain comp... |
If I give you [one of each letter in the alphabet](https://en.wikipedia.org/wiki/Isogram), what's the largest you can spell (in word form)?
**Bonus: What's the smallest?**
**Bonus 2: What if you can use the words "minus", "plus" and "times"?** |
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