Overlapping

Logic Level 3

How many overlaps are made by the minute hand and hour hand in 24 hours in an analog clock?

This question was asked in a Microsoft Interview.


The answer is 22.

Md Zuhair by Md Zuhair , 20, India

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2 solutions

Oliver Papillo
Apr 12, 2017

The Minute Hand goes round 24 24 times in a 24 24 hour cycle.

The Hour Hand goes round 2 2 times in a 24 24 hour cycle.

So The Minute Hand must overlap the Hour Hand 24 − 2 = 22 24 - 2 = 22 times.

1 Helpful 1 Interesting 1 Brilliant 0 Confused

Can you show why this should be the procedure and isn’t a mere coincidence? \color{#D61F06}{\text{Can you show why this should be the procedure and isn't a mere coincidence?}}

Harsh Poonia - 2 years, 3 months ago

In 12 12 hours, the minute-hand and the hour-hand of the clock overlap each other for 11 11 times (not 12 12 times). So in one day, they will be together for 22 22 times.

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