A broken clock that loses 12 minutes every hour is set at 12:00 noon at the same time a normal clock has it's time set to 12:00 noon when the broken clock reaches midnight what will the normal clock read?

02:24 am

Explanation:

Between noon and midnight there is 12 hours. After 12 hours, the broken clock will be 12x12 = 144 min late.

Let's translate 144 min to hours:

144 min = 2*60 min + 24 min = 2 h 24 min

So, the normal clock will read 2 h 24 min after midnight.

2:24 am is your final answer