Divisibility - math word problems - page 11 of 21
Number of problems found: 419
- Bricks pyramid
How many 50cm x 32cm x 30cm bricks are needed to build a 272m x 272m x 278m pyramid?
- Odd/even number
Pick any number. If that number is even, divide it by 2. If it's odd, multiply it by three and add one. Now, repeat the process with your new number. If you keep going, you'll eventually end up at one every time. Prove.
- Year 2018
The product of the three positive numbers is 2018. What are the numbers?
- Divisible 7255
Delete two digits from the number 547 191 807 to get the smallest number divisible by 5. Write the sum of the deleted numbers
- Three-digit number
Find all three-digit numbers n with three different non-zero digits divisible by the sum of all three two-digit numbers we get when we delete one digit in the original number.
- Multiples
What is the sum of the multiples of number 7 that are greater than 30 but less than 56?
- Trees in alley
There are four trees in the alley between which the distances are 35m, 15m, and 95m. Trees must be laid in the spaces so that the distance is equal and maximum. How many trees will they put in, and what will be the distance between them?
- MO C–I–1 2018
An unknown number is divisible by just four numbers from the set {6, 15, 20, 21, 70}. Determine which ones.
- Prime number
Jan wrote any number from 1 to 20. What is the probability that he wrote the prime number?
- Exercisers
How many exercisers are in the gym (minimum number) if there is one left after ordering into three, four, and five steps?
- Interested 7090
We call a natural number N bombastic if it contains no zero in its notation and if no smaller natural number has the same product of digits as the number N. Charles first became interested in bombastic prime numbers and claimed that there were not many of
- Dance ensemble
The dance ensemble took the stage in pairs. During dancing, the dancers gradually formed groups of four, six, and nine. How many dancers have an ensemble?
- Mathematical 7034
Jaroslav and his grandfather often played mathematical games. His grandfather gave him the following puzzle: The sum of four consecutive even numbers is 116. What are they?
- Clock's gears
In the clock machine, three gears fit together. The largest has 168 teeth, the middle 90 teeth, and the smallest 48 teeth. The middle wheel turns around its axis in 90 seconds. How many times during the day do all the gears meet in the starting position?
- Notation 7014
There is no 0 in the decimal notation in natural numbers; there are even numbers or odd numbers, each at least once. Find the number of all k-digit natural numbers.
- Inverted nine
In the hotel Inverted Nine, each hotel room number is divisible by 6. How many rooms can we count with the three-digit number registered by digits 1, 8, 7, 4,9?
- Integers 6915
Which even integers are greater than -1 1/4 and less than 7 1/4? The mark is on the number axis.
- PIN code
The PIN on Michael's credit card is a four-digit number. Michael told his friend: • It is a prime number - a number greater than 1, which is only divisible by the number one and by itself. • The first digit is larger than the second. • The second digit is
- 7 digit number
If 3c54d10 is divisible by 330, what is the sum of c and d?
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