The clock

Considering an exact 12 hours clock, with hours, minutes and seconds hands.

How many times in a day are the hours and minutes hands one over the other ?
At what time the first time (other than 0h 0mn 0s) ?
Solution

Same questions but making a right angle ?
Solution

Same questions for the three hands making 120 degree angles ?
Solution

At what time are the three hands closest (other than 0:00:00) ?
Solution

Details

 

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