Part 1.
Find a 5-digit integer that consists of five consecutive digits, not necessarily in numerical order, such that, when multiplied by 8, the product is a 5-digit number consisting of the other five digits.

Part 2.
Find a 5-digit integer that consists of five consecutive digits, not necessarily in numerical order, such that, when divided by 8, the quotient is a 5-digit number consisting of the other five digits.

(In reply to This seems like one problem, not two (spoiler) by Steve Herman)

98760 does not consist of 5 consecutive digits, and so does not work for part 2 as the number to be divided by 8. (There is no "wrap around" so that 0 would be adjacent to 9.)

Posted by Charlie on 2006-10-07 09:15:21