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On this page you can test your mind by solving the problem. Solving examples and problems will further strengthen your knowledge. Through this, you sharpen your mind. because solving a problem related to the knowledge you have acquired will help you to keep the science and formulas firmly in your memory. Problem solving is a practical exercise, through which you will learn about the shortcomings in your thinking and knowledge. Please try to resolve the issues on the page. If you also have interesting issues, send them to our site, we will be happy.
Three villages
In one country there are Mixed Villages where Honest, Liars, Honest and Liars live mixed. Correspondingly, in the first village there are only honest people, in the second only liars, and in the third village both groups live in a mixture. Suddenly there was a call to the fire department:
- Our village is on fire.
-Where do you live ?
- In the village of "Mixed".
Q: In which village do firefighters live?
How old is the mathematician?
One day the two mathematicians met. When asked about the situation, the first mathematician asked his friend:
"How old are you now?"
the second mathematician answered:
- My father was 25 years old when I was born, now my father and I are 89 years old.
Q: How old is the mathematician?
Soat
The clock rings 5 times in 6 seconds. How long does it take to ring the bell 12 times?In the market
The butcher entered the market with 1 soums. He has to buy exactly 000 animals. There are cows, geese and chickens on sale. A cow costs 000 soums, a goose 100 soums and a chicken 150 soums. He must take at least one from each animal and use all the money.
What does the butcher buy?
Mother and child
A mother is 4 times older than her daughter. After 20 years, the mother will be 4 times older than her daughter. Determine the age of the mother and daughter.
In the cafe
The cafe sells mineral water for 30 kopecks, along with a bottle. It is possible to return 20 coins by handing over the container. Tell me, how much mineral water can you drink for no more than 1 sum?
Economical cut
How can you give any of the 5 apples to 6 people without dividing them into 6 pieces?
How many cats?
There is a cat sitting in each corner of the rectangular room. In front of each cat sat three cats. How many cats are there in the room?
Price
How much will the price change if we increase the price of the product by 50% and then lower it by another 50%?Group students
There are 10 students in the group. If each of them shakes hands with all the students, what will be the number of handshakes?
Interest
10% of 5 is big, 5% of 10 is big?
Equation
the sum of the two numbers is 10, and their product is also 10. What numbers are these?
Filling the pool
The pool needs to be filled with water through 2 pipes, If the first pipe fills in 5 minutes and the second pipe fills in 10 minutes, how many minutes will the two pipes fill together?
Temperature
If we add 3 liters of water with a temperature of -2 C and 5 liters of water with a temperature of -10 C, what will be the temperature of this water?
The distance between the columns
There are 10 columns in a row along the long road, with a distance of 1 km from each column to the next. distance. How many km from the first column to the tenth column. distance?
An unexpected situation
Airplanes A and B, each carrying 40 wagons, collided on a single railroad track (see photo). How can maneuver trains get rid of this unexpected situation and continue moving in their own direction?
Getting water from the pool
How to get 5 liters of water from the pool using 9 and 3 liter buckets?Silver chain
The tourist wants to book a place in the caravanserai with the intention of staying in a city for a week. The owner of the caravanserai asks him to give him a coin every day. The tourist says that he does not have any coins of this country, but that he has 7 silver chains (see picture) and offers to pay for one ring every morning. The owner of the caravanserai agrees, only to be ordered to cut the rings as little as possible. How many rings do you have to cut to do this?
Two tribes
On one island live two tribes - the truthful and the deceitful. All of the first tribe are only true, all of the second tribe are only lying. A traveler who arrives on the island sees one of the islanders and asks who he is. The islander claims to be from a tribe of liars.
Q: Isn’t the island deceiving the tourist? What tribe is he actually from?
Pythagoras and his disciples
When Pythagoras was asked, “How many students do you have?” He replied, “Half of my students are studying math and a quarter are studying nature. one in seven spends their time meditating, and the rest are three girls. ”
How old is Pythagoras?
Three pigeons
Three doves, frozen on the flat ground, soared into the sky. Tell me, when will they be on another plane?
Coffee
Once 97 percent of the caffeine in natural coffee is extracted, a drink is made from the rest. How many cups of this brewed beverage do you need to drink in order to consume the same amount of caffeine as a cup of natural coffee?City dwellers
Eighty-five percent of Tashkent's population speaks Uzbek. And 85 percent can speak Russian. If every citizen of the city knows at least one of these two languages, what is the percentage of people who can speak both languages?
Across the equator
If we could walk the earth around the equator, our heads would be more traversed than our heels. Tell me, what do you think this difference is equal to?
In the subway
On the self-propelled stairs of the subway, two people are running in the direction of the stairs, one of them running faster than the other. Q: Which one of them counts the more stair steps until they go up?
Ahil class
There are 35 students in our class. each of us is friends with exactly 11 of our classmates.
"It can't be," Ahmad immediately told his comrade.
And he was right. Why?
Einstein's riddle
There are five houses in one city. The color of each house, the nationality of the homeowners, the drink they drink, the pet they feed, the cigarettes they smoke are different.
The information known to us is as follows:
1. English lives in a red house.
2. A Swedish dog is fed.
3. Drink Danish tea.
4. The green house is on the left side of the white house and…
5.… its owner drinks coffee.
6. Pall Mall feeds a smoking bird.
7. The person living in the house in the middle drinks milk.
8. Yellow host Dunhill smokes.
9. The Norwegian lives in the first house.
10. Marlboro lives next to a smoking cat owner.
11. Horse owner Dunhill lives next to the smoker.
12. Winfield smokes beer.
13. The Norwegian's house is next to the blue house.
14. German Rothmans smokes.
15. Marlboro smoker lives next to a drinker.
Q: Who feeds the fish?