Aptitude - Clock - Discussion

Find the time between 5 and 6 o'clock when the two hands of the clock are 6 minutes spaces apart.

Can anyone help me to solve this?

Why 30-20=10 is not considered as it is done in question number 6?

54 6/11 min. past 4 how?

Hi all,

Can someone explain me how is come space 30 and 55 min?

Please explain anyone how the answer is 54/12 from (60/55*50).

If we solve by the method of angle difference between hour hand and minute hand, there has to be a difference of 180 degrees for the hands to be opposite.

So I applied this in the equation. If they align 180 degrees opposite to each other after 'x' minutes, then degrees traversed by hour hand will be x*6 and that of hour hand will be (10*4) + (0.5*x).

Taking the difference, the equation formed will be 6x-40-0.5x = 180. Solving this equation gives x=40. So answer should be 40 minutes pas 4.

How 4 past come after dividing?

Angle = 11min/2-30hour.
4 opposite direction angle is 180.

Between 4 and 5 o clock hour is 4.
You will get the min.(answer).

TRICK OF THIS TYPE OF QUESTION.

-> Imagine if both the hands are 12 i.e time is 12:00 then at 1:00 -> Hour hand will be at 1:00 .

-> Minute hand will be at 12 again.Therefore the space gained by minute hand over hour hand is 55 min in 1 hour,i.e. 55 min in 60 min i.e logical data which is used in all problems.

-> Coming to the problem,the hour hand is at 4:00 and minute hand is at 12,therefore to cross hour hand the minute hand has to gain 20 min spaces i.e it means it has to move 20 min forward.

-> Between 4:00 and 5:00 if the hour hand and minute have to be in opposite directions,then hour hand will be at 5:00 and minute hand will be 55 then it has gain 30 minutes more.

-> Totally it has to gain 20+30=50 minutes.

-> If 55->60 then 50->? Ans = 54 6/11 min past 4 they will be in opposite directions.

How it 20 min spaces comes?