Reason + divisibility - practice problems - page 3 of 10
Number of problems found: 192
- Five-digit number
Anna thinks of a five-digit number not divisible by three or four. If he increments each digit by one, it gets a five-digit number divisible by three. If he reduces each digit by one, he gets a five-digit number divisible by four. If it swaps any two digi - Together
The three friends divided the balls in a ratio of 6:5:4. Some two got 126 balls. How many balls were there together? - Coloured numbers
Mussel wrote four different natural numbers with colored markers: red, blue, green, and yellow. When the red number is divided by blue, it gets the green number is an incomplete proportion, and yellow represents the remainder after this division. When it - All pairs
Find all pairs (m, n) of natural numbers for which is true: m s (n) = n s (m) = 70, where s(a) denotes the digit sum of the natural number a.
- Repeated 33571
Use the digits 3, 4, 5, and 6 to write all even numbers. How many such numbers can you write when you can repeat the numbers? - Three-digit 33263
Calculate the difference between the smallest odd four-digit number and the largest even three-digit number, where we can form each number from only these digits: 0, 1, 3, 5, 7, 8, 9 without repeating digits. - Divisible by nine How many three-digit natural numbers in total are divisible without a remainder by the number 9?
- 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? - Five-digit 30481 Find the smallest five-digit number A432B that is divisible by 15.
- How many How many numbers are less than 222 with a digit sum of 8?
- Air draft The numbers 1,2,3,4,5 are written on five tickets on the table. Air draft randomly shuffled the tickets and composed a 5-digit number from them. What is the probability that he passed: and the largest possible number b, the smallest possible number c, a n
- Remembers: 28341
My mother forgot the PIN code of her ATM card, which consisted of 4 different numbers. Help her put it together if she remembers: And - all the numbers were even B - zero in the pin code was not C - the first number was a multiple of the second number, wh - Columns of two and three
When students in one class stand in columns of two, there is none left. When he stands in columns of three, there is one student left. There are five more double columns than three columns. How many students are in the class? - Four-digit numbers
Find four-digit numbers where all the digits are different. For numbers, the sum of the third and fourth digits is twice the sum of the first two digits, and the sum of the first and fourth digits is equal to the sum of the second and third digits. The di
- Probability
How probable is a randomly selected three-digit number divisible by five or seven? - The florist
A consignment of 200 roses arrived at the florist in the morning. She sold more than half of them during the day. She wants to tie bouquets of the remaining roses. One rose will always be left if she ties a bouquet of three, four, five, or six roses. Dete - Integer cube
The length of the cube edge is an integer. Its volume is in cm3, a five-digit number divisible by 1331. What is the length of the edge of this cube? - Yesterday 13711
If the day before yesterday was the day of the week, what day of the week would it be from today in 50 days? (0 = Monday, 6 = Sunday) - Twenty-five
How many are three-digit natural numbers divisible by 25?
Paľo, Jano, Karol, and Rišo were taking an intelligence test. Palo correctly answered half of the questions plus seven, Jano to a third plus 18, Karol to a quarter plus 21, and Risho to a fifth plus 25. After the test, Karol said, "I feel I was doing quitDo you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
