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, 2011

Algebra Difficulty 1.0 Junior Find the answer Canada

Which of the following must be an even integer?

(A) The average of two even integers (B) The average of two prime numbers (C) The average of two perfect squares (D) The average of two multiples of $4$ (E) The average of three consecutive integers

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.