A Swiss watch is being shown in a museum which has a very peculiar property.
It gains as much in the day as it loses during the night between $8 p m$ to $8 a m$
In a week how many times will the clock show the correct time?

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Solution

Let us assume the watch loses $x$ minutes between $8 p m$ to $8 a m$ .
So, in the day it will gain $x$ minutes.
Hence it will show the correct time every day.
And on the last day it will show the correct time at $8 p m$ also. Therefore, in a week, the clock shows $8$ times the correct time.

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