A grid has the middle square shaded out. The digits to are placed in the grid once each to form four three-digit numbers: two reading left-to-right (the top and bottom rows) and two reading top-to-bottom (the left and right columns), in such a way that all four three-digit numbers are multiples of .
How many ways can this be done?
Sign in or create an account to reveal answers, view the solution, and save your progress. Create a free account to unlock practice and keep track of your work.
Cayley Mathematical Olympiad (2026)
One puzzle per day. Cryptarithm, Magic Square, Summit. No sign-up required to play.
Play daily puzzle →Interactive problems and curated lessons—water pouring, magic squares, knight's tour, and more.
Browse library →See how you rank. Top solvers by problems solved correctly. Sign in to climb the ranks.
View leaderboard →