How Many Times A Day Do Clock Hands Overlap

The approximate times are listed below. Noon midnight and noon again and other times each twelve hour period.

51d3bc98165d5e9aa90f715c96393a87 Solution For Overlapping Hands Of A Clock Clock Clock Hands Overlap

In a 24 hour period it will occur 23 times.


Bmo Show. M t h t 360 n. Remember that they repeat themselves for the next sequence. If midnight is considered part of both days then the answer is 23 times otherwise the answer is 22 times.

A really nice logical question is Bmo Show. As a result if you count the last case there are 23 times when a clock s hour and minute hands overlap in a day. 360t 30t 330t 360n.

Well that s easy 22 times. Well that s easy 22 times. 12 1 05 2 11 3 16 4 22 5 27 6 33 7 38 8 44 9 49 and 10 55 and midnight.

We can find the times by insterting in n 0 1 2 t 12n 11. If you exclude one of the midnights we can conclude that there are 22 times when a clock s hands overlap in a day. Strategy and approach to answering a problem solving interview question.

The hands overlap every 12 11 hours. They are evaluating the approach you use to think out and solve the problem. For the precise times see the related question 2 times a day if you only count.

So the hands match up every 65 5 11 minutes and this occurs 12 times is a 12 hour period if you consider that this occurs at 12 noon and 12 midnight. For the hands to be aligned the difference between the hour and minute hand needs to be zero after an arbitary number of rotations where n is an arbitrary integer number of rotations. How many times a day does a clock s hands overlap.

During the first half of the day they overlap 11 times. The big game hunter inc asheville nc 2020. 00 00 01 05 02 10 and so on but not 11 55 since they overlap at 00 00.

If you get asked a problem solving question in an interview remember that they are not looking for the right answer. At first it might be tempting to just say 24 but the correct answer is 22 this can be surmised because the clock hands approximately overlap at 12 00 1 05 2 10 3 15 4 20 5 25 6 30 7 35 8 40 9 45 and 10 50 twice a day. The hands of the clock overlap 22 times a day.

The mass translates at the overlap at. 22 times a day if you only count the minute and hour hands overlapping.

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