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A string is wound symmetrically around a circular rod. The string goes exactly four times around the rod. The circumference of the rod is 4cm and its length is 12cm. Find the length of the string.

На цилиндр очень аккуратно и ровно накручена проволока. Проволоки хватило ровно на четыре оборота вокруг цилиндра. Длина цилиндра — 12 сантиметров, длина окружности поперечного сечения — 4 сантиметра. Найдите длину проволоки.Решение постарайтесь не подсматривать...
Я решал "с конца" и там просто нельзя ошибиться. Но вот со второй задачей случилась непонятка во время розыгрыша:The number on each cell tells you the number of steps you can jump horizontally or vertically from that cell. The asterisks (*) act as wildcards, behaving like the last number you landed on.
Start from the 2 in the top left corner and find the shortest series of jumps that will take you to the bottom right corner. Your solution should be written as a sequence of numbers, indicating the route through the maze, where 1 is the top left cell and 36 is the bottom right cell.
You have two glass jars and a 100-storey building. If you drop the jar from a give floor and it won't break, that means it will also survive and fall shorter than that one.У меня получилось 14 и вполне логичное объяснение, но выиграл некто с ответом 9. Я хотел было возмутиться и проверить решение, но постеснялся испортить радость победителю. А что вы думаете?
What is the minimal number of throws, to find the highest floor from which your jar will survive a fall in the worst case scenario?
Помимо всего прочего Sabre раздавала вот такие полезные батарейки с зарядками от розетки и автомобиля. Единственный минус, что шнурок может использоваться только для зарядки. Я не смог скачать с его помощью данные с телефона на ноут.
A building has 16 rooms, arranged in a 4 x 4 grid. There is a door between every pair of adjacent rooms (no diagonals). Only the room in the northeast corner has an exit door. There is one person in each room. The person in the southwest corner is a psycho killer. If he enters a room where there is another person, he immediately kills that person, but he also cannot stand the site of blood, so he will not enter any room where there is a dead person. As it happened the psycho killer managed to get out of the building after killing all other 15 people.☆☆☆:
What path did he take?
Let's play a game - said the Master to 7 tiny bears. - I have a lot of hats in 7 different colors and I'll put one of them on each of your heads. You see each other's hats, but not your own. Then, at the same time you have to shout the color of your hat. If none of you is right, then I'll kill you all. Prepare for the game. You have 5 minutes and we start!
Tiny bears managed to come up with the right strategy and they were saved. Are you as smart as them?
100 coins lie on the floor, 10 on the tails side, 90 on the heads side. How to split them into two groups, so that each group would have the same number of heads up? You cannot see or feel the side of the coin.☆☆ - за правильное решение выдавали чашку:
Interrogator had a soft spot for smart people, so he said to 100 prisoners - I like you folks, really, so I will give you a chance. Each of you will be interrogated in a room with one light bulb which you can turn on/off. I will not mess with it. You don't know in what order each of you will be interrogated. It will last forever, unless one of you says "we've all been interrogated". If you are right, all of you are free to roam around the country and do whatever you were doing before, otherwise I will kill you. Slowly...☆☆☆ - за правильное решение выдавали футболку:
Can prisoners free themselves? If so, how?
Agnieszka has chosen two numbers greater than 1. She multiplied them and gave the result to Darek. Then she summed them and gave the result to Rafal.Последнюю задачу я смог решить, только когда мне объяснили, что ограничение 20 не известно ни Дареку, ни Рафалу.
Darek - I don't know what the numbers are.
Rafal - I knew you wouldn't know.
Darek - Ha! Now I know!
Rafal - Now I know too!
What are the numbers if their sum is smaler than 20?
In a 3 x 3 grid, use the digits 1 through 9 to fill in the cells so each horizontal, vertical, and diagonal row of three has a sum of 15. No digit may be used more than once.☆☆ - за правильное решение выдавали чашку:
There are 100 attendees joining a Devoxx lecture. Each of them a sit assigned to them. Unfortunately the first attendant forgot which place was his, so he picked a random one. Each of the remaining attendees gets into the room and take their seat unless it's busy. In that case, they pick a random one.☆☆☆ - за правильное решение выдавали футболку:
What is the chance that the last attendee (number 100) will get his seat?
This meeting is so boooooring... - gasped one of 29 programmers.
You think this is boring? - replied the meeting organizer Rico - Let's play a game then. Each of you gets a hat. You see each other's hats, but not your own. When I change the slides and you know your hat color you can leave, otherwise you will listen to my talk forever!
That's not fair, you can't know it for sure - said Gregor.
What's with your attitude, you can do it! - replied Rico.
After the first slide everyone with blue hat left, after the second no one left, after the third 8 people left, after the next at least 1 person. Gregor and his friend left later, but not at the same time.
After how many slides, was Rico left alone?