Reason + divisibility - practice problems - page 2 of 10
Number of problems found: 192
- Four-digit 67444
Emil forgot the PIN for his payment card. It knows that it is four-digit, starts with 1, ends with 2, and does not repeat digits; its digit sum is 15. How many such codes are there? List all the options.
- Divisible 67434
The number of Beata's house is 2018. The numbers of Jura's and Dan's houses are made up of the same numbers. A) What number of Jura's house can be if it is divisible by 4? List all the options. B) What can Dan's house number be if it is divisible by 5? Li
- Three-digit 66854
How many three-digit numbers with a digit sum of 9, in which no digit can repeat?
- Expression 66754
Find the largest natural number n for which the expression value (37-2n) / 3 equals the natural number.
- Conditions 66544
I have a box that contains white, milk, and dark chocolate candies. The ratio of white to milk candies is 3:4. The ratio of white to dark candies is 4:3. The least amount of candies in the box if the conditions of the ratio of candies are met.
- Prepared 66494
Benches were prepared around the fire. When seven tourists sit on them, one tourist will sit alone on the last bench. When six of them all sat down, one had to stand. How many tourists were at the campfire if we know there were less than 100, and how many
- Find two digits
Find the possible values of A and B if the six-digit number 2A16B6 is divisible by 4 and 9. Please write the result as a composed number.
- How many
How many double-digit numbers divided by nine give the rest of the seven?
- Even five-digit
How many can even five-digit natural numbers with different digits be created from the digits 0 - 6?
- Rectangular 56801
We are to create a square in the shape of a rectangle with an area of 288 m² (square) so that the sides are whole numbers. What are all the dimensions of the rectangular box we can make? How many is the solution?
- Dividing
One always remained when dividing the tangerines into packages of 8 or 10. If there were more than 250 and less than 300, how many were there?
- Three-digit 56441
Determine the number of all-natural three-digit numbers divisible by 9, consisting of the numbers 0, 1, 2, 5, 7:
- Lcm = 22 + gcd
The least common multiple of two numbers is 22 more than their greatest common divisor. Find these numbers.
- Most divisors
Find the number with the most divisors from the natural numbers 1 to 100.
- Directly 55591
If n is a natural number that gives a division of 2 or 3 when divided by 5, then n gives a residue of 4 when divided by 5. Prove directly
- Four-digit 55481
Find all four-digit abcd numbers to which abcd = 20. ab + 16. cd, where ab and cd are double digits numbers from digits a, b, c, and d.
- Rectangular 54871
The arranger has at his disposal a certain number of colored targets, from which he wants to create a rectangular pattern of a flower bed. If he puts 4,5,6,8,9, or 10 targets in one row, he always has three extra targets. How many targets does it have? De
- Consecutive 47011
The sum of two consecutive odd numbers is 184. What are these numbers?
- We roll
We roll two dice A. - what is the probability that the sum of the falling numbers is at most 4 B. - is at least 10 C. - is divisible by 5?
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