Maths Olympiad Prep

Track / Stage 2 / 37 of 320 #357 of 2604

Problem 357

Combinatorics Difficulty 2.0 Find the answer CEMC Gauss (Grade 8) · Canada · 2010

The time on a digital clock is 10:2510:25. In minutes, what is the shortest length of time until all the digits on the clock will be equal to one another? (A) 3636 (B) 107107 (C) 8686 (D) 4646 (E) 187187

The source for this one didn't record the answer, so there is nothing to check what you type against. Work it on paper and mark yourself against the solution below.

Next problem →

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project. Solutions are the publisher's, linked not copied.