Maths Olympiad Prep

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Problem 377

Combinatorics Difficulty 2.0 Find the answer UKMT Grey Kangaroo · United Kingdom · 2018

A lion is hidden in one of three rooms. A note on the door of room 1 reads "The lion is here". A note on the door of room 2 reads "The lion is not here". A note on the door of room 3 reads "2+3=2×32+3=2\times3". Only one of these notes is true. In which room is the lion hidden?

(A) In room 1. (B) In room 2. (C) In room 3. (D) It may be in any room. (E) It may be in either room 1 or room 2.

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