GAUSS8 2010 Problem 8

Past Contests GAUSS8 GAUSS (GR. 8) - 2010
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1

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?

Answer Choices
A. 36
B. 107
C. 86
D. 46
E. 187