Find the digits a, b, and c of the two six digit numbers abcabc and ababab, given that
abcabc 55
------ = --
ababab 54
The 9 spots in a 3×3 grid are filled with distinct digits. Consider the 6 three-digit numbers obtained by reading left to right along rows, or down along columns. All 6 of these numbers are divisible by 6. How many are divisible by 5?
