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'Weekly Problem 16 - 2013' printed from http://nrich.maths.org/

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The time shown on a digital clock is 5:55.

How many minutes will pass before the clock next shows a time for which all the digits are the same?
 
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.  

This problem is taken from the UKMT Mathematical Challenges.

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