THE MYSTIC ELEVEN
Can you find the largest possible number containing any nine of the ten digits (calling nought a digit) that can be divided by `11` without a remainder? Can you also find the smallest possible number produced in the same way that is divisible by `11`? Here is an example, where the digit `5` has been omitted: `896743012`. This number contains nine of the digits and is divisible by `11`, but it is neither the largest nor the smallest number that will work.
Topics:
Arithmetic
Number Theory
->
Modular Arithmetic / Remainder Arithmetic
->
Divisibility Rules
->
Divisibility Rule by 11
- Amusements in Mathematics, Henry Ernest Dudeney Question 93
There are no comments yet.