Divisibility - practice problems - page 4 of 23
Number of problems found: 450
- In the city 2
In the city Náhoda (Coincidence), they abolished the timetables and the city buses run completely randomly. Imagine that you are standing at a bus stop, at which 5 buses stop with numbers 12, 14, 15, 21 and 27, and you can get home by two of them. a/What - Divisible without remainder
Determine the number by which all these numbers, 22, 18, 25, 15, 35, and 10, are divisible without remainder. The number is greater than 1. - Three-digit digit sum How many three-digit numbers have a digit sum of 6? Write the ratio of the number of created even and odd numbers and adjust it to the basic form.
- Two numbers
Numbers A and B differ by 95. If from number A we subtract two thirds of it, we get the same result as when we add three fifths to number B. Decide for each of the following statements whether it is true (T) or not (N). a) The larger of the two numbers is - Digit number difference The digits 1, 2, 4, and 8 form two four-digit numbers so that all 4 digits are used in the notation of each number. Calculate the difference between such largest even number and smallest odd number (in that order).
- Number divisor list List all composite positive two-digit numbers whose greatest common divisor with 51 is 17.
- Number divisible list List all divisible numbers by six and seven that are greater than 79 and less than 91.
- Number divisibility probability What is the probability that any two-digit number a) is divisible by five b) is it not divisible by five?
- Consecutive number groups 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.
- Three-digit number creation The number 0,3,7,4 are given. How many three-digit numbers are there: a) if the numbers can be repeated b) if the numbers cannot be repeated c) how many even three-digit numbers if the numbers can be repeated d) how many odd three-digit numbers if the num
- Three-digit number creation The numbers 1,3,7,4 are given. How many three-digit numbers are there: a) if the numbers can be repeated b) if the numbers cannot be repeated c) how many even three-digit numbers if the numbers can be repeated d) how many odd three-digit numbers if the nu
- PIN code options
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. - House number divisibility 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
- Number divisibility replacement Which number should replace the letter X so that the number 7618X is divisible by three and four?
- Number divisor sum Calculate the sum of all divisors of the number 70.
- Three-digit digit sum
How many three-digit numbers with a digit sum of 9, in which no digit can repeat? - Natural number expression Find the largest natural number n for which the expression value (37-2n) / 3 equals the natural number.
- Chocolate candy ratio
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. - Tourist bench seating
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 2 A16B6 is divisible by 4 and 9. Please write the result as a composed number.
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