Aptitude - Clock - Discussion

I think the correct answer is 22.

The Correct Answer is 22.

@All.

It's because they are considering secondhand also.

@Rajvee 5:55 is wrong, so only 11 times in 12 hours (opposite direction).

In 1hr the minute hand rotate 60 min, and the hour hand rotate 5 min.

So 1 hr hour hand rotate 5 min.

24 hr hour hand rotate 24*5=120, that means (60+60) min=2 hr.

Hence 24-2=22 hr and you know that every hour the min hand and hour hand become straight.

So it is clear that answer is 22 hr.

22 hours is the answer.

What about, Hour hand on 12-minute hand on 6 then hour hand on 12 plus 1 minute and the minute hand on 6 plus 1?

It maybe equals 29 in 12 hours x 2 equals 58.

Thank you all for the explanation.

Thank you to all for the solution.

Initially hours hand, minutes hand and second hand are in overlapping condition so, the counting is started from 1:35 then 2:40 then 3:45....... 11:25. ( straight line is started from 1:35 to 11:25). from this counting, we get only 11 times in 12 hours.

Mathematically,
For 1 hours, minutes hand travel 60 min and hours hand move only 5 min that means hours hand loss 5 min that means hours hand travel 55 min.

So, when hours hand travel 55 min minutes hand travel 60 min.
1 ,, ,, ,, ,, ,, ,, (60/55).
30 ,, ,,, ,, ,,(60/55) * 30 = (360/11).
[ in straight line condition, minutes hand should 30 min apart from hours hand].
[ hand will be straight 2 times in hours].

So, in 1 hours minutes hand travel (360/11) * 2 = 720/11.

In 24 hours, {(24 * 60)/(720/11)} = 22 times.