1) Is it possible to draw 4 liters of water from the tap with two 3-liter and 5-liter jars?
2) The same question if there are only 6-liter and 9-liter jars?
Leaflet #transfusion
2) The same question if there are only 6-liter and 9-liter jars?
Leaflet #transfusion
Wikipedia
Mason jar
molded glass jar used in home canning to preserve food
Is it possible to draw 8 liters of water from the river using two buckets with a capacity of 15 liters and 16 liters?
Leaflet #transfusion
Leaflet #transfusion
Wikipedia
River
larger natural watercourse
There are two identical cups: one with coffee and one with milk. A spoonful of coffee is poured from the first cup into the second cup. Then a spoonful of the resulting mixture is poured back from the second cup into the first one.
Which is bigger?
Which is bigger?
Anonymous Quiz
32%
More coffee in the milk
23%
More milk in the coffee
44%
Equally
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There are three pots: 8 liters with compote, 3 liters and 5 liters empty. How do you divide the compote in half? (Compote, unlike water, cannot be poured out.)
Leaflet #transfusion
Leaflet #transfusion
Wikipedia
Kompot
non-alcoholic sweet beverage of Slavic origin
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Is it possible to pour 50 liters of gasoline into three tanks so that the first tank has 10 liters more than the second, and the second tank has 21 liters more than the third?
Leaflet #transfusion
Leaflet #transfusion
Wikipedia
Gasoline
Gasoline (North American English) or petrol (Commonwealth English) is a petrochemical product characterized as a transparent, yellowish and flammable liquid normally used as a fuel for spark-ignited internal combustion engines. When formulated as a fuel for…
There are two hourglasses: for 7 minutes and for 11 minutes. The porridge cooks for 15 minutes. How do you use this clock to measure the right time?
Leaflet #transfusion
Leaflet #transfusion
Wikipedia
Hourglass
device to measure the passage of time
There are three 3L, 4L and 5L vessels, a tap with water and 3L of syrup in the smallest vessel. Is it possible to get 6 liters of a mixture of water and syrup so that there is an equal amount of water and syrup in each vessel?
Leaflet #transfusion
Leaflet #transfusion
Wikipedia
Syrup
thick, viscous liquid consisting primarily of a solution of sugar in water
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A man says: "I am a liar". Can he be a resident of the island of knights and liars?
The action in almost all problems of the leaflet #amazing_island takes place on an island whose inhabitants are knights and liars. Knights always tell the truth and liars always lie.
📜 Leaflet #amazing_island
More about liar's paradox.
The action in almost all problems of the leaflet #amazing_island takes place on an island whose inhabitants are knights and liars. Knights always tell the truth and liars always lie.
📜 Leaflet #amazing_island
More about liar's paradox.
Wikipedia
Liar paradox
statement of a liar who states that they are lying: for instance, declaring that "I am lying" or "everything I say is false"
MathProblem 💙💛 pinned «There are two identical cups: one with coffee and one with milk. A spoonful of coffee is poured from the first cup into the second cup. Then a spoonful of the resulting mixture is poured back from the second cup into the first one.
Which is bigger?»
Which is bigger?»
Each of the islanders gathered in the square said to the others: You are all liars.
How many knights are there among them?
📜 Leaflet #amazing_island
Wikipedia
How many knights are there among them?
📜 Leaflet #amazing_island
Wikipedia
Wikipedia
Knights and Knaves
logic puzzle
Two residents of the island met on the street.
One of them said: "At least one of us is a knight."
The second one answered him: "You're a liar." Which one of them is which?
One of them said: "At least one of us is a knight."
The second one answered him: "You're a liar." Which one of them is which?
Anonymous Quiz
22%
Both are knights
32%
The first is a knight, the second is a liar
20%
The first is a liar, the second is a knight
26%
Both are liars
👍2
1) Each of the 7 residents of the island sitting at the round table said: "My neighbors are a liar and a knight."
How many knights and how many liars are sitting at the table?
2) The same question if 9 islanders were sitting at the table?
📜 Leaflet #amazing_island
How many knights and how many liars are sitting at the table?
2) The same question if 9 islanders were sitting at the table?
📜 Leaflet #amazing_island
Wikipedia
Round Table
element from the Arthurian legend
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What question do you have to ask an islander to find out if he has a pet crocodile living in his house?
💡 I remind you that there are knights and liars on the island. Knights always tell the truth and liars always lie.
🎯 Solution:
A question like this:
«If I asked, "Do you have a pet crocodile at home", would you say yes?»
Why:
1) A liar with a crocodile, always lies, would answer "no" to the question "Do you have a pet crocodile at home" and answer "yes" to my question;
2) A liar without a crocodile, similarly, "no."
3) A knight with a crocodile, always tells the truth, so "yes";
4) A knight without a crocodile, similarly, "no".
Bottom line: the resident of the island with a crocodile answers my question "yes", and without a crocodile - "no".
📜 Leaflet #amazing_island
💡 I remind you that there are knights and liars on the island. Knights always tell the truth and liars always lie.
🎯 Solution:
«If I asked, "Do you have a pet crocodile at home", would you say yes?»
Why:
1) A liar with a crocodile, always lies, would answer "no" to the question "Do you have a pet crocodile at home" and answer "yes" to my question;
2) A liar without a crocodile, similarly, "no."
3) A knight with a crocodile, always tells the truth, so "yes";
4) A knight without a crocodile, similarly, "no".
Bottom line: the resident of the island with a crocodile answers my question "yes", and without a crocodile - "no".
📜 Leaflet #amazing_island
Wikipedia
Crocodile
Crocodiles (family Crocodylidae) or true crocodiles are large, semiaquatic reptiles that live throughout the tropics in Africa, Asia, the Americas and Australia. The term "crocodile" is sometimes used more loosely to include all extant members of the order…
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A tribe of cannibals caught Robinson Crusoe. The leader said, "We would be happy to let you go, but according to our law you have to make some statement. If it turns out to be true, we'll eat you. If it turns out to be false, our lion will eat you."
What should I say to Robinson to avoid being eaten?
📜 Leaflet #amazing_island
What should I say to Robinson to avoid being eaten?
📜 Leaflet #amazing_island
Wikipedia
Robinson Crusoe
1719 novel by Daniel Defoe
Some of the islanders said that there are an even number of knights on the island, and others said that there are an odd number of liars on the island.
Can the number of islanders be odd?
Can the number of islanders be odd?
Anonymous Quiz
69%
It can
31%
It can't
👍2
Are there three integers whose sum is 201 and whose product is 30030?
Anonymous Quiz
50%
They exist
50%
They don't exist
👎1🥰1
9 identical candies cost $11 with change, and 13 of the same candies cost $15 with pennies. How much does one candy cost up to one cent?
📜 Leaflet #scales
📜 Leaflet #scales
Wikipedia
Penny (United States coin)
United States coin with a value of 1 cent
Three rhinos weigh the same as four hippos and one crocodile.
Which is heavier: the rhinoceros or the hippo?
Which is heavier: the rhinoceros or the hippo?
Anonymous Quiz
83%
Rhinoceros
17%
Hippo
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3 crucian carp are heavier than 4 perches.
Which is heavier: 4 crucians or 5 perches?
Which is heavier: 4 crucians or 5 perches?
Anonymous Quiz
83%
4 crucians
17%
5 perches
🐳3❤🔥1
A pear and a plum weigh as much as 2 apples; 4 pears weigh as much as 5 apples and 2 plums. Which is heavier: 7 apples or 5 pears?
Anonymous Quiz
44%
7 apples
56%
5 pears
🤣3