Fun pastime!in finnish

Blue eyes

island

Everyone with blue eyes is able to get out from the banned island, if he/she is smart enough to figure out current situation. But would you be able to figure it out?

Level: difficult

Blue eyes

There is 5 persons in the island with blue eyes, 5 persons with braun eyes and 5 with green eyes. One day a smart man arrives to island with a ship and says he will come back each and he will pick everyone with him who knows the color of their own eyes. He gives people only one hint: "There is at least one person with blue eyes."

People in the can't see their own yeys, but they see eyes of all the others. They are not able use any kind of communication with each others but they all will be witnessing every day when the smart man comes and asks if anyone have figure out the color. At the end which persons are able to figure out the colors of their eyes and when does that happen?

Those five persons with blue eyes will be able escape from the island after five days. No one else will. If there would be only one with blue eyes, he would immediately understand the situation and he would be free to go in a first day. If there would be two persons with a blue eyes they would understand that the other person didn't leave the island because he/she wasn't the only one in there. So they would both leave the island after two days. The same logic goes with five persons so it will take them five days to figure the situation and then they will be free.

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Two buckets

Ämpärit

You have two buckets and you should measure a certain amount of water. This mathemetical riddle is quite easy but you have think about it for second.

Level: easy

Two buckets

You have two, 5 litre and 3 litre buckets. How you are able to measure 4 litres afo water with those two?

First you fill the 5 litre bucket with water. You spill 3 litre to the other bucket so that there is only two litres left in bigger one. Then you empty that 3 litre bucket and spill the rest two litres from the 5 liter bucket to 3 liter bucket. Now you can fill the 5 litre bucket and spill one liter from it to the 3 littre bucket.

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100 Prisoners

Lauri

One hundred prisoners and a one day. You should be able to find out the strategy that frees the prisoners as soon as possible. But that might not be easiest task to do.

Level: impossible

100 Prisoners

There are 100 prisoners in solitary cells. Everyday, the warden picks a prisoner randomly and that prisoner visits the room, which only includes one light bulb (which is initially off). While there, the prisoner can toggle the bulb if he or she wishes. They can't see the light bulb from their own cells, only when they are inside of the room. At any time, any prisoner has the option of asserting that all 100 prisoners have been to the living room by now. If this assertion is false, all 100 prisoners will be shot. However, if it is true, all prisoners are set free. Thus, the assertion should only be made if the prisoner is 100% certain of its validity. The prisoners are allowed to get together one night in the courtyard, to discuss a plan. What plan should they agree on, so that eventually, someone will make a correct assertion?

At the beginning, the prisoners select a leader. Whenever a person (with the exception of the leader) comes into a room, he turns the lights on (but he does this only once). If the lights are already on, he does nothing. When the leader goes into the room, he turns off the lights. When he will have turned off the lights 99 times, he is 100% sure that everyone has been in the room.

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Roof of the block

block

This riddle requires practical smartness. Can you figure out the way to get away from the roof with only short rope.

Level: challenging

Roof of the block

You are standing at the top of a 100 meter building and you have a 75 meters long rope with you. and the only way he can come down isthrough the rope. In the middle of the wall (50 mt) there is a balcony, which can be used. You can tie the rope easily to the roof or to the balcony, but you cant jump (of course dont even think about the stairs). Also you are able cut the rope which ever point you want. Who you manage to get down from the roof?

Cut the rope into two parts, 50 mts and 25 mts. Tie the 25 mts at the top of the building and make the loop to the other end. Thread the remaining 50 mts rope left through the loop and use the combination of these to get to the balcony 50 meters away from ground level. Then just pull the 50 mt rope out from the loop and tie to to the balcony. Now you can descent the rest of the way safely.

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Watermelon

Watemelon

Mathematical riddle, where the weight of watermelon change after it has been dried. Are you able to count the new weight?

Level: easy

Watermelon

Watermelon weights 100 kg. 1 percent of the weight is solid materials and 99 percent is water. After you have dried melon so that only 50 percent of its weights is water, what is the weight of watermelon?

2 kg. 50 percent (= 1kg) of its weights is water and 50 percent (=1kg) is solid materials.

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Three hats

kolme_hattua

In this difficult riddle you must try to figure out how three prisoners manage to survive from a difficult situation.

Level: difficult

Three hats

The three prisoners are ordered to sit in a queue. The last one can see the other two, the one in the middle can see the first one, who can't see anyone. They are told that there will be two black hats and three white hats. One hat is then put on each prisoner's head. If any of them is able to announce the colour of his hat correctly, they all will be released. No communication between the prisoners is allowed. It takes a while and another while before the prisoner who is first in the line, and who can't see anyone's hat, is able to announce (correctly) what is the colour of his hat. Which colour did he had and why so?

White. If both first and second prisoners are wearing black hats, prisoner that is last in a queue can immediately tell that he is wearing a white hat after looking at the two black hats in front of him. It takes a while (last one is not saying anything) and then all prisoners know that first two of them are wearing either two white hats or a white hat and a black hat. Now, prisoner in the middle can deduce to he/she has a white hat if first prisoner in the queue is wearing the black hat. It takes another moment and now because prisoner in the middle does't say anything, the first prisoner knows that he is not wearing the black hat.

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Bear

karhu

If you don't stuck with strange situation at the beginning, this riddle will be quite easy.

Level: easy

Bear

A man builds a house which every wall points to the south. He decides to go to market but when he is on his way a bear walks towards him. What colour is the bear and why?

White. The only place in the earth where you can build house with all the walls pointing to south is north pole.

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Bus driver

Bussikuski

This riddle is more about attentiveness than problem solution, but don't pay attention to wrong details...

Level: easy

Bus driver

You leave the first city and you have 57 passengers in the bus. You drive to the next city where 45 people get off and 73 people get on. At the second stop, which is bit smaller city, 58 people get off and 67 get on. At the third stop 27 people get off and 67 get on. The next stop is last one for you and all the passengers get off. What's the bus driver's name?

Your name.

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Nine coins

Lauri

Mathematical riddle where you try to optimize the measuringtimes and find out the weights of the coins.

Level: easy

Yhdeksan kolikkoa

You have nine identical coins but one them is just slighly heavier than the others. You also have oldfashion weight scale (see the picture). How you measure which one of the coins is heavier by using the scale only two times?

You put three coins both side of the scale. If one side is heavier then you know that the coin you are looking for is in one of those three. If the weights are even you know that the coin is one of the three coins you haven't yet put to the scale. When you have only three coins left you put two coins into scale. If neither them is heavier than the other you know that the coin you are looking for is the one you haven't measure.

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Judgement

tuomiolla

You are accused for a crime but the judge gives you inadvertently chance to release yourself. Can you take advantage of it?

Level: challenging

Tuomiolla

You are accused for a crime but the judge defines you future by saing: " If you give a statement that is true, you are going to in prison 4 years. But if give me a statement that is a lie, you go to prison for 6 years." In which statement you are able avoid prison totally?

I will go to prison for six years.p

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Weights

punnukset

This mathematical riddle can be solved by testing or deducting, but either way it won't be an easy task.

Level: difficult

Punnukset

You have the oldfashion scale (check picture from nine coins). Which four weights you need to measure all the weights between 1 and 40 kilos? Hint: all four of weights are between 1 and 40 kilos.

Weights are: 1, 3, 9 and 27 kilos.

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In queue

jonossa

10 prisoners need to formulate a plan to maximize the possibility of freedom. Are you able to help them?

Level: challenging

In queue

10 prisoners each is assigned a random hat, either red or blue, but the number of each color hat is not known to the prisoners. The prisoners will be lined up single file where each can see the hats in front of him but not behind. Starting with the prisoner in the back of the line and moving forward, they must each, in turn, say only one word which must be "red" or "blue". If the word matches their hat color they are released, if not, they are killed on the spot. How would you advice the prisoners since they have one hour beforehand to formulate a plan where by following the stated rules, 9 of the 10 prisoners will definitely survive, and 1 has a 50/50 chance of survival.

The prisoners can use a binary code where each blue hat = 0 and each red hat = 1. The prisoner in the back of the line adds up all the values and if the sum is even he says "blue" (blue being =0 and therefore even) and if the sum is odd he says "red". This prisoner has a 50/50 chance of having the hat color that he said, but each subsequent prisoner can calculate his own color by adding up the hats in front (and behind after hearing the answers [excluding the prisoner in the back]) and comparing it to the initial answer given by the prisoner in the back of the line. The total number of red hats has to be an even or odd number matching the initial even or odd answer given by the prisoner in back.

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Two doors

kaksi_ovea

You need logical deduction in order to make a right choice in this riddle.

Level: challenging

Two doors

In front of you is two doors and two guardians. The other door leads to haven and the door leaves to hell. The other guard always lies and other always tells the truth but you don't which one. You only have question before you need to decide which door to choose. What is your question?

You have ask a question that takes into account both guardian, for example you can either one: "Does this door lead to the haven according to you your fellow guardian?". The answer is always a lie, so you know which one to choose.

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Over the river

joen ylitys

Can you help a man to cross the river with a quite challenging company?

Level: easy

Over the river

A man is travelling with fox, chicken and a bag of grains. They need to cross the river but the boat can only carry the man plus one of the three. Man can't leave fox alone with chicken or chicken alone with grains. How does he manage to cross the river with those three succesfully?

First he goes to the other side with chicken. Then he comes back and takes fox with him to the opposite shore. Now when he is coming back second time, he takes chicken with him. He leaves chicken and takes grains with him to the opposite shore. Then he finally comes back and takes chicken with him.

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In a row

rivissa

In this quite easy riddle you have to figure out how to form a simple line.

Level: easy

Rivissä

Each prisoner is assigned a random hat, either red or yellow, but the number of each color hat is not known to the prisoners. They need to walk 30 meters to the line infront of them. They can't see the colour of their own hats, only the colors of the prisoners that have walked to finish line before them. If they manage to form a row where all the red hats are in the left side and all the yellow hats in the right side they will be granted an amnesty. They can't talk to each other before or in the middle of the task. How should a prisoner position him self when walking towards the finish line?

First prisoner should go to the middle. The next one goes to his/her left side the hat was yellow and to right side the hat was red. Third prisoner goes to the middle if sees both yellow and red hat in the finish line. If he sees only yellow hats he goes to left side of the row and if only red hats then right side of the row. It continues same was till the end.

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!-- Example row of columns -->

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