Reason + divisibility - practice problems - page 7 of 10
Number of problems found: 192
- Z9–I–4 MO 2017
Numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 were prepared for a train journey with three wagons. They wanted to sit out so that three numbers were seated in each carriage, and the largest of the three was equal to the sum of the remaining two. The conductor sai - Big number
What is the remainder when dividing 10 by 9 to 47 - 111? - Remainder
A is an arbitrary integer that gives remainder 1 in the division with 6. B is a random integer that provides the remainder with division by two. What makes remainder in a division by three products of numbers A x B? - Difference 5419 Peter said to Paul: "Write a two-digit natural number with the property that if you subtract from it a two-digit natural number written in reverse, you get the difference 63. Which number could Paul have written?" Specify all options.
- Repeating digits There is a thousand one-digit number, which consists of repeating digits 123412341234. What remainder gives this number when dividing by nine?
- Asymmetric 5407
Find the smallest natural number k for which the number 11 on k is asymmetric. (e.g. 11² = 121) - Different 5402 Adélka had two numbers written on the paper. When she added their greatest common divisor and least common multiple, she was given four different numbers less than 100. She was amazed that if she divided the largest of these four numbers by the least, she
- One hundred stamps
A hundred letter stamps cost a hundred crowns. Its costs are four levels - twenty-tenths, one crown, two-crown, and five-crown. How many are each type of stamp? How many does the problem have solutions? - Three-digit 5312
Find the smallest four-digit number abcd such that the difference (ab)²− (cd)² is a three-digit number written in three identical digits.
- Paving - joints
We are paving with rectangular pavement 18 cm × 24 cm was placed side by side in height in a row and the second row in width etc. How many times will the joints meet at a distance of 10 m? - Odd numbers
The sum of four consecutive odd numbers is 1048. Find those numbers. - Garden
The garden is rectangular, measuring 19m 20cm and 21m 60cm. Mr. Novák will fence it. It wants the distance between adjacent pillars to be at least two meters and a maximum of three meters. He would also like the distances between the adjacent pillars to b - Sales of products
For 80 pieces of two quality products, the total sales are 175 Eur. Suppose the first quality product was sold for n EUR per piece (n natural number) and the second quality product after 2 EUR per piece. How many pieces of the first quality were sold? - 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?
- Bicycles
You're the owner of the transport's learning playground. Buy bicycles of two colors, but you've got to spend accurately 120000 CZK. The Blue bike costs 3600 CZK and the red bicycle 3200 CZK. - Three-digit 4791 How many three-digit numbers divisible by four can we create from the numbers 1, 2, 3, and five if we cannot repeat the digits in the number?
- Have solution
The sum of four consecutive even numbers is 92. Determine these numbers. - Real estate
The residential house has three entrances numbered by odd numbers in arithmetic progression. The sum of the two numbers on the corner entrances is 50. Calculate the highest of these three numbers. - Toy cars Paul has a collection of toy cars. He wanted to regroup them. But when he divided them into groups of three, four, six, and eight, he was always one left. Only when he formed groups of seven did he divide all toy cars. How many toy cars are in the collect
There are 15 seats in the cinema. If we know the number of seats, we will say that there are more than 390 but less than 410.Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
