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If the clock loses 1 minute every hour, it means that for every 60 minutes that pass in real time, the clock will only show 59 minutes.

Let's calculate the time it takes for the clock to show 12 noon on Friday, starting from 12 noon on Monday:

Between Monday 12 noon and Tuesday 12 noon, 24 hours have passed in real time. However, the clock has lost 1 minute per hour, so it will show 23 hours and 59 minutes.

Between Tuesday 12 noon and Wednesday 12 noon, another 24 hours have passed, with the clock losing 1 minute per hour. Again, the clock will show 23 hours and 59 minutes.

The same pattern continues for Wednesday 12 noon to Thursday 12 noon and Thursday 12 noon to Friday 12 noon. In both cases, 24 hours have passed, but the clock will show 23 hours and 59 minutes.

So, in total, four days have passed, which is equivalent to 96 hours. The clock loses 1 minute every hour, so it will lose a total of 96 minutes over the four days.

Starting from 12 noon on Monday, when the clock is set correctly, we subtract 96 minutes from the time to determine the time it will show on Friday:

12:00 PM on Monday - 96 minutes = 11:04 AM on Friday

Therefore, the clock will show 11:04 AM when it is actually 12 noon on Friday.

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