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, 2010

Number theory Difficulty 2.0 Junior Find the answer Canada

The number of positive integers $p$ for which $-1 < \sqrt{p} - \sqrt{100} < 1$ is

(A) $19$ (B) $21$ (C) $38$ (D) $39$ (E) $41$

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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.