Library / /198 of 472

, 2011

Number theory Difficulty 2.0 Junior Find the answer Canada

If $m$ and $n$ are consecutive positive integers and $n^2 - m^2 > 20$ , then the minimum possible value of $n^2 + m^2$ is

(A) $29$ (B) $181$ (C) $265$ (D) $23$ (E) $221$

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.