Faulty Clock
A faulty 12-hour clock gains 1 minute per day. On a particular day, it was set at the correct time on 12 noon. After how many days will it show the correct time ?
For example, after 1 day it shows 12:01 when it is actually 12 noon. After 2 days it shows 12:02 when it is actually 12 noon and so on.....
Image source: Google images
The answer is 720.
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1 solution
The clock gains 1 minute per day. After 60 days, it will have gained an hour. So, it will show 1:00 when it is actually 12 noon. At the same time after 120 days, it will show 2:00 and so on.
After 720 days, the clock will have gained 12 hours. So, it will show 12:00 when it is 12 noon. Actually, the clock is showing midnight but since it is a 12 hour clock, we cannot make out the difference. So, the answer is 720.