Reading from behind

Can you find the time between 3 o'clock and 10 o'clock when my digital clock looks the same from both the front and back?
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Problem



The ten digits of a digital clock are shown below.

 

Image
Reading from Behind


I have a 12 hour digital clock which shows the time, using four digits, on a piece of glass, so it can be seen from both sides.

At what time between 3 o'clock and 10 o'clock will the time look the same from both sides?

 

 

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.