Maths Olympiad Prep

Library / CEMC Gauss (Grade 8) /392 of 525

CEMC Gauss (Grade 8), 1998

Combinatorics Difficulty 2.0 Junior Find the answer Canada

The figure shown is folded to form a cube. Three faces meet at each corner. If the numbers on the three faces at a corner are multiplied, what is the largest possible product?

(A) 144144 (B) 168168 (C) 240240 (D) 280280 (E) 336336

Figure for this problem

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.
Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.