Aptitude - Clock - Discussion

Simple formula :- 1/2(60x-11y).

Here x=hour.
y=minute.

Put any value in time then got answer in degree.
And solve many other questions.

AS the question say time is 8am-2pm.
Time between 8am-2pm is 6 hours gap.

Now, we have 12 hours. Which is 12=360deg.(the clock rotates).
After that we take 6 hours and total degree(360)of 12 hours.

Which looks like this:
360/12*6=180deg.

For a 1 hour the angle is 360/12=30.

The distance between 8 and 2 is 6.

So for 6 hours the angle will be as 6*30=180.

Is it true in every case (2:13) ?

@Sarang !

If angle between minutes hand and Hour hand will be asked.
i.e.
Angle between Hour hand and minute hand at the time 2:13. etc.

Angle = 60*h/2.

Where, h=hour.

360°/12 = 30°.

8 to 2 o'clock = 6 hrs.

30° * 6 = 180°.

Simple method :

Total hours between 8 am to 2pm (H) = 6 hours (normal counting)
minutes (M)=0.

Use this formula {angle= [30*H - (11/2)*M] }.

Where H= hours, M= minutes. Put the values
Angle = 30*6 - (11/2)*0.
= 180-0 = 180 degrees.

P.S. If minutes are given put that value in same formula.

Explain every lines in detail:

In 60 minutes, the minute hand gains 55 minutes on the hour on the hour hand.

In every hour, both the hands coincide once.

The hands are in the same straight line when they are coincident or opposite to each other.

When the two hands are at right angles, they are 15 minute spaces apart.

When the hands are in opposite directions, they are 30 minute spaces apart.

Angle traced by hour hand in 12 hrs = 360°.

Angle traced by minute hand in 60 min. = 360°.

If a watch or a clock indicates 8.15, when the correct time is 8, it is said to be 15 minutes too fast.

On the other hand, if it indicates 7.45, when the correct time is 8, it is said to be 15 minutes too slow.

In 12 min min hand takes 6 degree.

So for 6 hrs it takes ?

(6*60*6)/12 = (3600*6)/3 = 180 deg.