Maths Olympiad Prep

Library / CEMC Gauss (Grade 7) /300 of 462

CEMC Gauss (Grade 7), 2003

Combinatorics Difficulty 2.0 Junior Find the answer Canada

A different letter is painted on each face of a cube. This cube is shown below in 3 different positions: What letter belongs on the shaded face of this cube in the following diagram?

(A) TT (B) PP (C) XX (D) EE (E) VV

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.