Symmetry
Eve loves symmetry in shapes and numbers. Yesterday she invented an entirely new kind of symmetry - divisible symmetry. She wrote all five-digit numbers with different digits with the following property:
The first digit is divisible by 1, the second by 2, the third by 3, the fourth by four, and the fifth by 5, regardless of whether the digit reads from left to right or right to left.
List all five-digit numbers with Eve's divisible symmetry. How many are there?
The first digit is divisible by 1, the second by 2, the third by 3, the fourth by four, and the fifth by 5, regardless of whether the digit reads from left to right or right to left.
List all five-digit numbers with Eve's divisible symmetry. How many are there?
Final Answer:
You need to know the following knowledge to solve this word math problem:
algebrabasic operations and conceptsnumbersGrade of the word problem
Related math problems and questions:
- Seven-segmet
Lenka is amused that he punched a calculator (seven-segment display) number and used only digits 2 to 9. Some numbers have the property that She again gave their image in the axial or central symmetry some number. Determine the maximum number of three-dig - The missing digit
Complete the missing digit in the number 3 ∗ 43 to form a number divisible by three. If there are multiple options, list them all. (The omitted digit is marked with the symbol ∗. ) Answers must be justified! - Three-digit numbers
How many are all three-digit numbers made up of digits 0,2,5,7 and are divisible by nine if the digits can be repeated? - Divisible number
Six cards with digits 1, 2, 3, 4, 5, and 6 are on the table. Agnes made a six-digit number from these cards, divisible by six. Then she gradually removed the cards from the right. A five-digit number divisible by five remained on the table when she remove - Magic number conjuring
Roman likes magic and math. Last time he conjured three- or four-digit numbers like this: • created two new numbers from the given number by dividing it between digits in the place of hundreds and tens (e.g., from the number 581, he would get 5 and 81), • - Number symmetry divisibility
Complete the digits to create a symmetrical number divisible by 5 to the number 346. - 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
