Solve difficult puzzles. The most difficult logic problem in the world

In this article we will look at the most interesting puzzles intended for children, but not every adult can master them. They managed to stupefy more than one Internet user and gained enormous popularity on the Internet, as did comic tests with answers - but how quickly can you cope with them? The correct answers are waiting for you at the end of the article!

Where does the bus go?

If we talk about the most popular children's tasks on the Internet, this is one of them. Here is a picture of a bus. Which way is he heading?

How many points are there?

More attentiveness tasks for the most eagle-eyed users: how many black dots do you see at the intersections of lines?

Which circle is bigger?

Now let's solve interesting graphic puzzles. Can you answer which of the yellow circles shown in the picture is larger?

Moving the matches

The following children's puzzles are also often given to first-graders to solve: they require you to move matches in a certain way to get a given figure.

Find the panda!

The Internet was also blown up by the following graphic puzzles by artists who placed an image of a panda in complex pictures and invited other users to find it. They hid the panda in the crowd of stormtroopers from " Star Wars”, in a gathering of metalheads, and even tried to hide it among the myriad of massage tables. Check your attentiveness!

Japanese IQ test

But what kind of IQ test did the Japanese come up with? On the shore there is a man with two sons, a mother with two daughters and a policeman with a criminal. In front of them is a raft on which they need to get to the other side. Try to think about how they can be transported there, taking into account such interesting conditions:

  • Only two people can fit on the raft at a time, and it cannot float without people at all.
  • Children can only travel on the raft with an adult. But sons cannot remain alone with the girls’ mother, and daughters cannot remain alone with the boys’ father.
  • And the criminal cannot be left alone with others without the supervision of a policeman.

Found the answer? If not, watch this interesting test in the video:

Right answers

There can be two correct answers to this puzzle. The first is that the bus goes to the left, since on the other side, invisible to the viewer, there are doors through which passengers get inside. This answer is valid for our roads with right-hand traffic. But for countries where traffic left-handed, the correct answer is right.

The picture shows parking spaces, and a car occupies one of them. If you turn the picture over, you will realize that you originally saw the numbers upside down. Therefore, the number under the car is 87. No matter how much you try to calculate some clever polynomial here, such interesting puzzles are not designed for algebraic logic, but rather for ingenuity.

Missing value = 2. To solve such children's puzzles, you need to put yourself in the shoes of the children. Do kids know how to solve complex equations and count? arithmetic progressions? But they notice that the values ​​in the columns depend on the number of circles in each set of numbers. Let's take, for example, the row 6855: in the number 6 there is one circle, and in the number 8 there are two, so the output is 1+2 =3, that is, 6855=3. And in row 2581 only the number 8 has two circles, so the solution is 2.

There are 12 points in total in the figure. But our brain is designed in such a way that it does not allow us to see them all at the same time, so at a time we can only notice three or four black dots.

The mugs are exactly the same! These simple puzzles are based on visual illusion. The blue circles on the left side of the picture are large and some distance from the yellow one. The circles on the right side are small and stand close to the yellow circle, which is why it seems to us that it is larger than the first one.

Here's how to solve interesting children's puzzles with matches:


Unmasking the panda:

Will help you develop memory and intelligence different types puzzles for adults - logic tasks, complex, funny or tricky questions, a variety of intellectual math games

Logic games and puzzles for adults

To solve various logic puzzles not required high level education, start solving them - useful activity for absolutely everyone. A variety of riddles with a trick for adults train non-standard thinking, which will help in Everyday life quickly find rational solutions in difficult everyday situations.

Riddles for adults

This type of task will allow you to immediately check the correctness of the solution you have found. What's good about these short riddles? Based on the answers, you can make a thematic selection for a specific holiday or feast to entertain guests. Depending on the composition of the guests, riddles with a trick, tasks that will make your friends laugh, or math problems.

With a catch

In tasks with a trick, the question itself often looks illogical at first glance, for example: what language is spoken silently? When the answer is announced, the person’s first reaction manifests itself as disagreement with it. At first glance, the question and the chosen answer are connected in an unusual way and with double implications. But after thinking a little, you can’t help but agree that such a daring decision is correct and very logical (answer: in sign language).

funny

Play guessing game funny riddles- pure pleasure. While your guests are expressing possible answers to tricky questions, the whole company is guaranteed to be shaken by bursts of laughter.

Mathematical

In such riddles, you need to guess a given number, or calculate the result, relying less on arithmetic than on intelligence. The answer that seems obvious and seems to lie on the surface is often incorrect.

Mind games

Logic problems for adults are multi-step combinations for training thinking. To solve them correctly, you need to think through your actions several steps ahead. Such tasks are relatively difficult, often in the form original pictures, where you need to rearrange or add some elements.

Well, such puzzles are definitely not for the average mind.. Let's try to decipher some of the most difficult puzzles I have ever seen in my life.

The most interesting problem from the game Go

Go was invented in China more than 2.5 thousand years ago, making it one of the most ancient games on Earth. Despite enough simple rules, it continues to attract thousands of people with the opportunity to solve interesting strategic problems. The goal of the game is to fence off a larger area than the enemy with stones of your own color. The situation depicted above is one of the most difficult in the history of Go: to solve it the most experienced players spent more than 1 thousand hours of gaming time. How can black win in this game?

The most difficult sudoku in the world

One of the most popular types of crossword puzzles in the world is Sudoku - Japanese puzzle with numbers. Its principle is simple, so many amateurs try to create their own versions. In 2012, Finnish mathematician Arto Incala claimed to have developed “the world’s hardest Sudoku.”

As the British newspaper “The Telegraph” reports, if the simplest of the common variants of Sudoku on the difficulty scale are designated as “1”, and the most complex of the popular ones are rated as “5”, then the version proposed by the mathematician is “11”.

The most difficult sum-do-ku in the world

One of the popular varieties of Sudoku is sum-do-ku, also called “killer Sudoku”. The only difference is that sum-do-ku contains additional numbers - the sums of values ​​in groups of cells, while the numbers contained in the group should not be repeated. In the popular puzzle service Calcudoku.org, you can track the difficulty rating of published problems, one of them was sum-do-ku, which is shown here.

Bongard's most difficult "Problem of Recognition"

This type of puzzle was invented by the outstanding Russian cyberneticist, the founder of the theory of pattern recognition, Mikhail Moiseevich Bongard: in 1967, he first published one of them in his book “The Problem of Recognition.” The “Bongard problem” gained wide popularity when the famous American physicist and computer scientist Douglas Hofstadter mentioned them in his work “Gödel, Escher, Bach: This Infinite Garland.”

The most difficult tracing paper puzzle

This type of Sudoku is similar to sum-do-ku, but, firstly, any arithmetic operations are used to calculate the value of the cells, not just addition, secondly, the field can be a square of any size (the number of cells is not limited), and -third, unlike Sudoku, there does not have to be clues from 1 to 9 in each 3x3 square. Such problems were developed by Japanese mathematics teacher Tetsuya Miyamoto.

Kakuro's hardest puzzle

Kakuro puzzles combine elements of Sudoku, logic, crosswords and basic math. The goal is to fill the cells with numbers from one to nine, and the sum of the numbers in each horizontal and vertical block must converge with the specified number, and the numbers within the same block must not be repeated. For horizontal blocks, the required amount is written directly to the left, and for vertical blocks, at the top.

One of Martin Gardner's tasks

American mathematician Martin Gardner is the author of many different problems and puzzles. One of his most interesting works is calculating the number that will require the fewest steps to reduce it to a single digit by multiplying the digits of that number. For example, the number 77 will require four such steps: 77 - 49 - 36 - 18 - 8. Gardner calls the number of steps the “persistence number.” The smallest number with a toughness number of one is 10, for a toughness number of 2 it would be 25, the smallest number with a toughness number of 3 is 39, if the toughness number is 4 the smallest number for it would be 77. What is the smallest number with a toughness number of 5 ?

The Hardest Fill-A-Pix Puzzle

Intelligence is the most important thing that distinguishes people from other representatives of the animal world. Man used his mind to achieve unprecedented heights in science and technology, but sometimes the games of the mind were not only of a purely practical and utilitarian nature: this is how many various puzzles, for the solution of which you have to thoroughly “think about it.” You will find ten of them in this collection.

1. The most difficult Sudoku in the world

One of the most popular types of crossword puzzles in the world is Sudoku - a Japanese number puzzle. Its principle is simple, so many amateurs try to create their own versions. In 2012, Finnish mathematician Arto Incala claimed to have developed “the world’s hardest Sudoku.”

As the British newspaper “The Telegraph” reports, if the simplest of the common variants of Sudoku on the difficulty scale are designated as “1”, and the most complex of the popular ones are rated as “5”, then the version proposed by the mathematician is “11”.

2. The most difficult logic puzzle

There are three gods, A, B, and C, one of which is the god of truth, another the god of lies, and the third the god of chance, and it is not clear which is which. The god of truth always tells the truth, the god of lies deceives, and the god of chance can say both in any order. It is necessary to determine who each of the gods is by asking three yes or no questions, each question being asked of only one god. The gods understand the questions, but answer in their own language, which contains the words “da” and “ja”, but it is not known which word means “yes” and which “no”.

This logic problem by American philosopher and the logic of George Boulos was first published in Italian newspaper"la Repubblica" in 1992. In his comments to the riddle, Boulos makes an important point: each god can be asked more than one question, but more than three cannot be asked.

3. The most difficult sum-do-ku in the world

One of the popular varieties of Sudoku is sum-do-ku, also called “killer Sudoku”. The only difference is that sum-do-ku contains additional numbers - the sums of values ​​in groups of cells, while the numbers contained in the group should not be repeated. In the popular puzzle service Calcudoku.org, you can track the difficulty rating of published problems, one of them was sum-do-ku, which is shown here.

4. Bongard's most difficult "Problem of Recognition"

This type of puzzle was invented by the outstanding Russian cyberneticist, the founder of the theory of pattern recognition, Mikhail Moiseevich Bongard: in 1967, he first published one of them in his book “The Problem of Recognition.” The “Bongard problem” gained wide popularity when the famous American physicist and computer scientist Douglas Hofstadter mentioned them in his work “Gödel, Escher, Bach: This Infinite Garland.”

The two most difficult examples of such problems are taken from Foundalis.com, to solve them you must find a rule that matches the six images on the left page, but does not match the six pictures on the right side.

5. The most difficult tracing paper puzzle

This type of Sudoku is similar to sum-do-ku, but, firstly, any arithmetic operations are used to calculate the value of the cells, not just addition, secondly, the field can be a square of any size (the number of cells is not limited), and -third, unlike Sudoku, there does not have to be clues from 1 to 9 in each 3x3 square. Such problems were developed by Japanese mathematics teacher Tetsuya Miyamoto.

Here you can try to figure out the most difficult calcu-doku, which was published on Calcudoku.org on April 2, 2013. Only 9.6% of regular visitors to the resource managed to solve it.

6. The most difficult task from IBM

It is necessary to develop an information storage system that would encode 24 bits of information on eight disks of four bits each, provided that:

  1. Eight 4-bit disks are united by one 32-bit system, in which any function from 24 to 32 bits can be calculated with no more than five mathematical operations from the set (+, -, *, /, %, &, |, ~).
  2. After the failure of any two disks out of eight, these 24 bits of information can be restored.

On the IBM website there is a regular column “Think About This!”, in which interesting logical problems have been published since 1998. The task given here is one of the most difficult.

7. Kakuro's hardest puzzle

Kakuro puzzles combine elements of Sudoku, logic, crosswords and basic math. The goal is to fill the cells with numbers from one to nine, and the sum of the numbers in each horizontal and vertical block must converge with the specified number, and the numbers within the same block must not be repeated. For horizontal blocks, the required amount is written directly to the left, and for vertical blocks, at the top.

This example of one of the most difficult kakuro puzzles is taken from the popular puzzle resource Conceptispuzzles.com.

8. One of Martin Gardner's problems

American mathematician Martin Gardner is the author of many different problems and puzzles. One of his most interesting works is calculating the number that will require the fewest steps to reduce it to a single digit by multiplying the digits of that number. For example, the number 77 will require four such steps: 77 - 49 - 36 - 18 - 8. Gardner calls the number of steps the “persistence number.”

The smallest number with a toughness number of one is 10, for a toughness number of 2 it would be 25, the smallest number with a toughness number of 3 is 39, if the toughness number is 4 the smallest number for it would be 77. What is the smallest number with a toughness number of 5 ?

9. The most interesting problem from the game Go

Go was invented in China more than 2.5 thousand years ago, making it one of the most ancient games on Earth. Despite the fairly simple rules, it still attracts thousands of people with the opportunity to solve interesting strategic problems. The goal of the game is to fence off a larger area than the enemy with stones of your own color. The situation depicted above is one of the most difficult in the history of Go: the most experienced players spent more than 1 thousand hours of game time solving it. How can black win in this game?

10. The Hardest of the Fill-A-Pix Puzzles

Fill-A-Pix was invented by English mathematician Trevor Truran. This game is similar to the well-known “Mineweeper”: the player must, guided solely by logic, determine which cells should be colored and which will remain empty until the image is formed. Since one cell is affected by several at once key values, it will take some time to get the final image.

Above you can see the Fill-A-Pix puzzle, prepared by the staff of Conceptispuzzles.com, where you can find many variations of this game and other interesting problems.

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