Question

At what time between twelve o’clock and one o'clock will the hands of the clock overlap again?
A. 12 hours \[50\dfrac{{12}}{{11}}\]minutes
B. 12 hours 45minutes
C. 12 hours 59minutes
D. Never happen
E. None of these

Answer 1

Hint: First we need to imagine a clock with the hour and the minute hand colliding every other. Consider the clock hand overlapping at what time after which evaluate it with the time given inside the question. If it overlaps among the time given inside the question we arrive at an answer.

Complete step by step answer:
 Given the time in the question we can bear in mind the time between twelve o’ clock and one o’ clock. At twelve o'clock, the fingers are overlapping, because the minutes pass, the minute hand moves farther far from the hour’s hand. Consequently they move far from each other because time passes. There’s no possibility that the 2 arms will overlap again in the given time frame.

Inside the given photograph we are able to see that the hour hand is overlapping at 12 o'clock which is simplest possible as soon as. there may be no such time between 12 o'clock and one o clock the hands overlap again.

So, the correct answer is “Option D”.

Note:
 The hands of a clock overlap \[22\] times a day. Thus the hands of the clock overlap \[12:00,{\text{ }}1:05,{\text{ }}2:10,{\text{ }}3:15,{\text{ }}4:20,{\text{ }}5:25,{\text{ }}6:30,{\text{ }}7:35,{\text{ }}8:40,{\text{ }}9:45,{\text{ }}10:50.\]Note that there is no \[11:55\]as it is considered to be \[12:00\] However between 12 o'clock and 1 o’clock there is no overlapping because the next time it overlaps is \[1:05\]