Question 30
Take a number between 100 and 999. The digits of the number are then rearranged so that no digit occupies its original position. The difference between these two numbers is less than 100 and is a perfect cube. List all such possible numbers. Note: 8, 27 and 64 are examples of perfect cubes.
Editorial convention: the rearranged result must also be a three-digit number, as intended by the supplied answer key.
Editorial convention: the rearranged result must also be a three-digit number, as intended by the supplied answer key.