The current time is between 1 o'clock and 12 o'clock in a wall clock and both the minute hand and the hour hand are situated precisely on two distinct minute marks.

It is observed that the hour hand is precisely a pentagonal number of minute marks ahead of the 12 hour mark. The number of minute marks by which the hour hand is ahead of the minute hand is also a pentagonal number greater than 1.

Determine the current time from the information provided in the above statements.

Thanks for the fix. The answer is 4:12 with the minute hand 51 marks ahead. The series of new differences is 60 minus the old differences: (M - H) = 60 - (H - M).  The (M-H) differences are:

Edited on January 30, 2022, 4:20 pm

Posted by Steven Lord on 2022-01-30 15:55:47