Natural numbers + reason - practice problems - page 6 of 28
Number of problems found: 543
- Neither 4182
Hanka gave Simon a riddle: guess a pair of numbers whose GCD is 7, and LCM is 90. Katy wanted Šimon to guess such a pair for which GCD is 7, and LCM is 91. Which riddle could Šimon guess? A: Katy B: Hankina C: neither D: Both - Digits of age
The product of the digits of Andrew's age six years ago is the same and not equal to 0. Andrew's age is also the youngest possible age with these two conditions. After how many years will the product of the digits of Andrew's age again be the same as toda - Multiply 6257
If we multiply the numbers of the last three pages of the book on pyramids, we get the product 23639616. How many pages does the book have if the last page's number is steam? - Pigs
A buyer said, "I want to buy 100 pigs for 100 denarii. An adult pig costs ten denarii, a sow five denarii, and two little piglets are worth one denarius. " How many pigs, cows, and piglets could he buy for exactly 100 denarii?
- Fewer than 500 sheep,
There are fewer than 500 sheep, but if they stand in a double, triple, quadruple, five, and sixth-order, one sheep will remain. But they can stand in the seventh order. How many sheep? - Individual 4881
There are 32 rooms in the hostel. Some have double beds, others have four beds and the rest have 7 beds. There are a total of 139 beds in the hostel. How many are there if a two-digit number gives the numbers of individual species? - Distinguished 37083
Three circles of the same size are drawn on the playing field. Arrange the 16 pins so that there are 9 pins in each circle. Find at least eight significantly different layouts, i.e. J. such layouts in which pins or circles are not distinguished. - Incorrectly 7492
The test has 50 questions. Four points are counted for each correct answer, 3 points are deducted for an incorrect answer, and 2 points are deducted for an unanswered question. Peter scored 108 points on the test but answered only 6 questions. How many qu - Organizes 4152
Shepherd has less than 500 sheep. If he organizes them in 4 rows, he will remain three sheep. If he manages them in 5 rows, he will remain four sheep. If he arranges them in 6 rows, he will remain five sheep. But it can manage them exactly in 7 rows. How
- Two-digit number
In a two-digit number, the number of tens is three greater than the number of units. If we multiply the original number by a number written in the same digits, but in reverse order, we get product 3 478. Find the original number. - Competition 5095
Ninety boys and 48 girls signed up for the sports competition. How many members of boys' and girls' teams can we assemble so that they have the largest number of members and the same number of members in the boys' and girls' teams? - Three-digit 4882
There were 301 postage stamps in the desk drawer. They were stamps for 2, 3, and 5 crowns. The number of each species can be written as a three-digit number. The total price of all stamps is CZK 1,003. How many stamps were there? - Dividing
One always remained when dividing the tangerines into packages of 8 or 10. How many were there, if more than 250 and less than 300? - Collection of stamps
Jano, Rado, and Fero created a collection of stamps in a ratio of 5:6:9. Two had 429 stamps together. How many stamps did their shared collection have?
- Arranged 80453
There are 390 trees arranged in rows in the orchard. How many rows are there if each row has the same number of trees greater than 30 and less than 40? - Numbered 31051
Pavel walks down the street on the side where the houses are numbered with even numbers. From the number 2, count the number of twos in the house numbers. He stops at home, in front of which he counts the fifteen two. What is the number of this house? - Regularly 7749
Three steamers leave the port. The first regularly returns after three months, the second after four, and the third after six months. How long before they meet again in the port? - Three-digit 7463
Dominika wrote a three-digit number ending with the number 6. When she crossed out the last digit and wrote it at the beginning of the number, she noticed that the new number was as much greater than 600 as the original number was less than 600. What numb - Bullets 7405
Pavol, Igor, and Kubo played bullets. They had a total of 25 marbles. Palo had 6 more bullets than Kubo at the start. Then Igor won 8 bullets from Pavol, and thus Igor had the same number of bullets as Kubo. How many marbles does Pal have left?
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