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Examine the clock again. Enter 6: Enter 10: Enter 50 for the seconds.
Head back to the Inn and look at the clock. Now that you have all the clues needed for the puzzle, it's time to open the door and access the clock. 00 when the clock asks for the hour. Previously you asked a bunch of men what time it was, and they answered "2:00," "12:00," "4:00," "8:00," and "10:00." The pattern of numbers given is based on a two hour time difference. With that in mind, it's noticeable that there is a number in that pattern missing - "6:00." Enter the number into the clock. 00 for the minutes. The man behind the tower told you that his clock doesn't have a minute hand and that it always points to the wrong time. Since he was lying, it's safe to assume that the clock pointing at 2 is correct; since 2 means 10 minutes on a clock, the answer is 10:00. This one is a bit tough; you already know that it isn't divisible by 20 because of the man on the tower, which eliminates 20, 40, and 60.  Another man informed you that it's 30, but since he was lying, it's not 30. Now you're left with 10 or 50. Try both 10 and 50 and see which one works. In this case, 50 will be correct. Entering "6:10:50" into the clock will open a portion of the wall on the right side of the room. Climb up the stairs and open the chest to receive Edgar's chainsaw weapon.