Symmetry
Eva 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 Eva'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 Eva's divisible symmetry. How many are there?
Correct answer:
You need to know the following knowledge to solve this word math problem:
Related math problems and questions:
- Four-digit numbers
Find four-digit numbers where all the digits are different. For numbers, the sum of the third and fourth digits is twice the sum of the first two digits, and the sum of the first and fourth digits is equal to the sum of the second and third digits. The di - 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 - Education - 5 modules
In a self-paced online class, there are five modules. The first four modules are worth the same, but the fifth module is worth as much as the other four combined. A student is one-fourth of the way through the last module and has done one-third of three o - Z9-I-4
Kate thought of a five-digit integer. She wrote the sum of this number and its half in the first line of the workbook. Write a total of this number and its fifth on the second line. She wrote a sum of this number and its one nines on the third row. Finall
- Three-digit 5524
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 - 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! - Characters 82998
Adam wrote the following sum with five secret adders: a + bb + ccc + dddd + eeeee. He revealed that the characters "a, b, c, d, e" represent the different digits 1, 2, 3, 4, and 5 and that the resulting sum is divisible by 11. Which is the smallest and wh