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Weekly Problem 29 - 2015

Stage: 3 and 4 Challenge Level: Challenge Level:1
 
Beatrix has a $24$-hour digital clock on a glass table-top next to her desk. When she looked at the clock at $13:08$, she noticed that the reflected display also read $13:08$, as shown.

How many times in a $24$-hour period do the display and its reflection give the same time?


 

This problem is taken from the UKMT Mathematical Challenges.

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