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While going to the town fair, Tristan met 5 clowns on his way. Each clown had 4 dogs, each dog had 2 cats and each cat had 2 mice. How many in total were going to the fair?
Only Tristan. He met the others on his way to the fair, so they were coming back from there.
Two friend mathematicians meet each after
– I have 3 daughters, the product of their ages is 36.
– I can’t figure out how old they are, can you tell me more?
– Sure, the sum of their ages is equal to the number of my house.
– I know your house number, but still can’t figure out the ages of your daughters.
– Also, my eldest daughter is called Monica.
– OK, now I know how old your daughters are.
What ages are the three daughters of the mathematician?
Using the first clue, we find that there are 8 possibilities:
(1, 1, 36) -> sum 38
(1, 2, 18) -> sum 21
(1, 3, 12) -> sum 16
(1, 4, 9) -> sum 14
(1, 6, 6) -> sum 13
(2, 2, 9) -> sum 13
(2, 3, 6) -> sum 11
(3, 3, 4) -> sum 10
Since the second mathematician couldn’t guess the ages even after the second clue, the sum has to be 13. Therefore the only possible options are (1, 6, 6) and (2, 2, 9). However, the third clue suggests that there is an “eldest” daughter and then the correct answer is 2, 2 and 9.
You have to descend a 100-meter vertical cliff. However, you have only a 75-meter long rope and a knife with yourself. On the top of the cliff and halfway down – 50 meters above the ground, there are two big pins stuck in it. How can you get safely down to the ground?
First, you cut the rope at 25 meters and make a loop at the end of the short part. Then you pass the longer part through the loop so that you get a 50-meter long rope (the second 25 meters are doubled). You use this rope to descend to the pin and grab it. Then tie one of the ends of the 50-meter rope to the pin, pull the rest back through the loop and let it fall to the ground.
The police found a murdered man in a car. The windows of the car were raised, the doors were locked, and the keys were inside, in the man’s hands. The man was shot several times with a gun, but there were no holes anywhere on the car. How is this possible?
The car was convertible, with the top retracted back.
Add just one line to create a correct equality.
Add a line to the plus to transform it into a four.
Which number must be written in the place of the dots?
Remark: The missing number does not necessarily have 3 digits.
If you turn the paper around, the text will read:
… = 19969 + 68199
99106 = 18108 + 80998
Therefore, the missing number is 88168, which after 180 degrees rotation becomes 89188.
White starts and mates in 2 moves.
White plays Rh6. If Black moves the bishop, Rxh7 is a mate. If Black takes the rook, g7 is a mate.
100 prisoners are given the following challenge: They will be taken to a room and will be arranged in a column, such that each of them faces the backs of the prisoners in front. After that, black and red hats will be placed on their heads, and the prisoners will be asked one at a time what is the color of their hat, starting from the one at the back of the column. If a prisoner guesses his color correctly, he is spared; if not – he is executed. If every prisoner can see only the hats of the prisoners in front of him in the line, what strategy should they come up with, so that their losses are minimized?
There is a strategy which ensures that 99 prisoners are spared and there is 50% chance that one of them is executed. Clearly, one can not do better.
The strategy is as follows: The first prisoner (at the back of the line) counts the number of black hats worn by the prisoners in front. If the number is odd, he says “BLACK”. If the number is even, he says “RED”. Then, the second prisoner counts the black hats in front of him, figures out the color of his own hat, and answers the question.The third prisoner sees the number of black hats in front of him and uses this information, along with what the second prisoner’s hat is, to determine the color of his own hat. The prisoners continue in the same manner until all 99 prisoners in the front guess their hat colors correctly. The chance for survival of the first prisoner is 50%.
John is talking to his lawyer in jail. Both of them are very upset
John was visiting his lawyer who was the one in jail.
Manifold is a brilliant puzzle invented by Jerome Morin-Drouin. Based on the origami principle, the goal of Manifold is to fold the printed paper several times, so that eventually you will end up with a 4 × 4 square which is white on one side and black on the other. The Manifolds here are provided by The Incredible Company and are part of their Manifold game which contains a total of 100 puzzles. Click the images, download them, print them, and solve the puzzles.
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