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The clock was set correctly at 12 o’clock. It loses 10 minutes per hour. What will be the angle between the hour and the minute hand of the clock after one hour?

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answer is A.

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Detailed Solution

Now, we have been given that the clock loses 10 minutes per hour. This means that the minute hand will move for

minutes in one hour instead of 60 minutes and then

minutes in the next hour and so on.
Thus, after 1 hour, the minute hand will show 50 minutes. So the time will be 12:50 instead of 1 o’clock.
Thus, the clock will look some like this:

https://www.vedantu.com/question-sets/3c420872-be66-4a05-a3ee-16e6866bd0ad2470031581461337200.png

So, in 1 hour, the angle covered by the minute hand is given as:
Question Image

Thus, the angle between the minute hand and the hour hand will be

minus the angle covered by the minute hand in 1 hour.
Thus, the required angle is given as:

We have the required angle is

So, option 1 is correct.

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