What tasks will make you break your head better than any crossword puzzle

Summer seems to be created in order to forget about all the worries and especially about studying. But we know that our brains, like our muscles, are not designed for idleness and require constant exercise. And to load him with work while resting will help our test of intelligence.



Solving our fun tasks, adults and children will spend time with great benefit. After all, ingenuity helps us to look for unusual, interesting and simple solutions, achieving results both in the game and in life in the shortest way.

A quick test.

1. For warm-up, we start with not very difficult.
   
   
   
2. To open the lock, using our tips, you will have to sweat.
   
   
   
3. Where's the bus going? The logical answer in August is: “Towards the sea.” But logic and common sense can suggest a more accurate solution.
   
   
   
4. To find a pattern in a number of numbers, you need to think outside the box. By the way, such tasks are offered to applicants for interviews at Google and Microsoft.
   
   
   
5. What do some walls have to do with the color of the bear? But there's a connection, I assure you.
   
   
   
6. I found a similar problem in the tasks that my son, a third-grader, has to complete during the summer holidays. This is not Newton’s binomy, but how do you do without equations and only elementary school methods? And how many children can solve the problem without a father who is “strong in mathematics”?
   
   
   
7. Counting all the triangles in the picture can be difficult. I have counted three times (even though I know the correct answer). Hint: Since the correct pentagon has 5 axes of symmetry, the answer will be a multiple of 5.
   
   
   
8. We offer a simple and elegant solution. Tip: Three actions are enough.
   
   
   
9. This task will require spatial imagination. Or cube and thread.
   
   
   
10. Another problem with IT interviews. See if you can get a job at one of the Silicon Valley companies.
    
    
    

Correct answers

1. I began to go through all these names in my mind, compare the first letters, look for some pattern. I should have just been a little more careful. They say, “The right question is half the answer.”
2. So, what valuable information can a hacker glean from clues? First, the numbers 7, 3 and 8 are immediately brushed aside (Hint No. 4). Back to the first clue. So in its place is either the number 6 or 2. How do you check which one? Let’s go to tip #2: if the number 6 is in the code, it certainly can’t be the first. In third place is the number 2. One sign already!
   
   Only one digit on the first clue is correct (and that's 2), so there's no 6 in the code. Let's move on to clue 3. It follows that the two digits are correct (excluding 6) and are 0 and 2.
   
   About 0 we know that this is not the second (Hint #2) and certainly not the third sign. So the first sign of the code is 0! We have two signs (the first and the last), it remains to find the one in the middle.
   
   This will help us with clue 2. 6 we ruled out. That leaves 1 or 4. But the correct number is not in its place, which means that it can not be 1. The correct number is 4 and the desired code is 042.!
   
   
3. It's a simple test of intelligence, but it makes you think. The bus in the picture is absolutely symmetrical. No hint of a cabin... Or -- stop, of course! There should be a door to the right of the driver. And if it is not in the picture, then it is logical to assume that the bus goes from right to left.
4. You can long and unsuccessfully multiply, divide and rearrange the numbers from the picture. But the question lies more in the field of non-standard thinking than pure mathematics. The answer is that all the numbers are arranged in the alphabetical order of their names. B is eight, D is two, and so on.
5. If you imagine such a house, it can be located only in one point on the globe. And this point is the North Pole. Consequently, the bear is white.
6. It doesn't work without variables. Suppose that the first postcard cost a rubles, the second - b, the third - c, the fourth - d. Then b+c+d=42; a+c+d=40; a+b+d=38; a+b+c=36. What should we do with this wealth? It is clear that something needs to be added, but it is not very clear on what basis. Let’s say we put together all the left-hand parts of our expressions. It turns out b+c+d+a+c+d+a+b+d+a+b+c=3a+3b+3c+3d or 3(a+d+c+d). You can see that this is triple the value of all the cards. From here we find its value (42+40+38+36):3=52 rubles.
   
   Now it's a matter of technology. 52-42=10 is the first postcard; 52-40=12 is the second postcard; 52-38=14 is the third postcard; 52-36=16 is the fourth postcard. But how to explain this decision to a child, I do not understand. Maybe someone will suggest a simpler option.
   
   
7. The correct answer is 35 triangles.
   
   
   
8. All presented numbers can be divided into pairs in which the sum of numbers will be equal to 100. For example, 1+99, 2+98, 3+97 and so on. It's a total of 49 pairs. The numbers 50 and 100 will remain without a pair. Thus, the required amount can be easily obtained in three actions: 49x100+50+100=505050.
9. First came to mind this decision: to pass the first face on the diagonal of the square, and then move along the edge. But if you map the cube on a plane, it becomes clear that there is a better option.
   
   
   
10. Everyone knows that the arrows overlap at 12:00. At 18:30, but wait a minute. It is believed that at 18:30, but in fact at about 18:32:43. But that doesn’t change the answer to the question. It is easy to make sure that in 12 hours the overlay occurs 11 times. With the addition of the second hand to the equation, everything becomes both simpler and more complex. And we will not give the answer to the second part of the question so as not to deprive readers of the joy of independent discovery. We hope you will share your options in the comments.
    
    
    

Some people may find the tests too simple. We would like to include even our youngest readers. After all, it is useful for children to understand that they are able to cope with many tasks completely independently.