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, 2010

Combinatorics Difficulty 2.0 Junior Find the answer Canada

The time on a digital clock is $10:25$ . In minutes, what is the shortest length of time until all the digits on the clock will be equal to one another?

(A) $36$ (B) $107$ (C) $86$ (D) $46$ (E) $187$

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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.