Maths Olympiad Prep

Library / /21 of 149

, 2017

Number theory Difficulty 1.0 Junior Find the answer United Kingdom

In the sequence of letters KANGAROOKANGAROOKANG... the word KANGAROO is repeated indefinitely. What is the 20172017th letter in this sequence?

(A) KK (B) NN (C) GG (D) RR (E) OO

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.