Maths Olympiad Prep

Library / /69 of 149

, 2019

Combinatorics Difficulty 2.0 Junior Find the answer United Kingdom

Amy, Bob, Cat and Dee occupy the top four positions in a chess tournament. The sum of Amy's position, Bob's position and Dee's position is 6. The sum of Bob's position and Cat's position is 6. Bob finished ahead of Amy. Who came first in the tournament?

(A) Amy (B) Bob (C) Cat (D) Dee (E) You can't be certain

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: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.