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How many positive integers between 10 and 2026 have all their digits the same and are divisible by 3?

(A) $8$ (B) $10$ (C) $12$ (D) $14$ (E) $16$

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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.