Reason + divisibility - practice problems - page 2 of 10
Number of problems found: 188
- Five-digit 30481
Find the smallest five-digit number A432B that is divisible by 15. - Probability
How probable is a randomly selected three-digit number divisible by five or seven? - Divisible 68644
List all divisible numbers by six and seven that are greater than 79 and less than 91. - Twenty-five
How many are three-digit natural numbers divisible by 25? - Determine 2757
The sum of all divisors of a certain odd number is 78. Determine the sum of all divisors of twice this unknown number. What is an unknown number? - Six-digit primes
Find all six-digit prime numbers that contain each one of digits 1,2,4,5,7 and 8 just once. How many are they? - Divisibility
Write all the integers x divisible by seven and eight simultaneously, for which the following applies: 100 < x < 200. - Even five-digit
How many can even five-digit natural numbers with different digits be created from the digits 0 - 6? - Number
What number should be placed instead of the asterisk in the number 702*8 to get a number divisible by 6? - Consecutive 68154
Determine the group of numbers for which the following relations hold: a) The sum of the searched three consecutive even numbers equals 978. b) The sum of the searched four consecutive odd numbers equals 312. - Asymmetric 5407
Find the smallest natural number k for which the number 11 on k is asymmetric. (e.g. 11² = 121) - Arithmetic progressions.
Find the sum of all the numbers between 9 and 204, which is exactly divisible by 3. - 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. - 7 digit number
If 3c54d10 is divisible by 330, what is the sum of c and d? - 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? - Determines 80517
Determines all two-digit numbers that have a greatest common divisor of 19 with the number 76 - Reminder and quotient
There are given the number C = 281, D = 201. Find the highest natural number S so that the C:S and D:S are with the remainder of 1. - 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? - Perpetrator
A perpetrator is a number that is smaller than the number 80. It is a multiple of five, and it is odd. If we add up the tens and ones of this number, we get the number 8.
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