Aptitude - Clock - Discussion

Its simple just crosscheck each option given, you will get the desired answer like,
for option A:

4:45
4 + 45/60 = 19/4.
360/12 * 19/4 = 285/2°.

And
360/60 * 45 = 270°.

Clearly,
285/2 - 270 = Not equal to 180° (exact opppsite angle) likewise crosscheck all options you will get option D as the right answer.
D:
4 + 600/11 * 1/60 = 54/11°.
360/12*54/11 = 1620/11°.
And
360/60 * 600/11 = 3600/11°.

Then,
3600/11 - 1620/11 = 180° (exact opposite angle).

At 5 O' clock, the minute hand is 25 min spaces behind the hour hand.

Case 1:

The minute hand is 6 min spaces behind of the hour hand.
In this case, the minute hand has to gain (25 - 6) = 19 minutes spaces,
55 min spaces are gained in 60 min, 19 min spaces are gained in [(19/55) * 60] = (20) 8/11 min.

Case 2 :

Minute hand is 6min spaces ahead of the hour hand
In this case, the minute hand has to gain (25 + 6) = 31 minutes spaces
55 min spaces are gained in 60 min, 31 min spaces are gained in [(31/55) * 60] = (33) 9/11 min.

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.

Use this formula:

(5n-30)*12/11 for n>6.
(5n+30)*12/11 for n<6.

As per my calculation, the correct answer will be 55.38 min.