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Problem 355

Number theory Difficulty 2.0 Find the answer UKMT Intermediate Mathematical Challenge · United Kingdom · 2018

Which of these integers cannot be expressed as the difference of two squares?

(A) 55 (B) 77 (C) 88 (D) 99 (E) 1010

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Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project. Solutions are the publisher's, linked not copied.