Aptitude - Clock - Discussion

How 31/6?

Still can't understand.

How 31/6 will come? Please explain me.

Best explanation, thanks @Shreya Raut.

@ALL.

I AM NEW TO THIS COMMUNITY,
NOW I WANT TO SHARE ABOUT CLOCK,
BEFORE GOING TO ATTEMPT ANY CLOCK PROBLEMS,
1.HOUR'S HAND TAKES.
=============HOURS HAND/ SHORT HAND=============
Time to finish one cycle = 360's.
i.e in 12hrs of time =360 degrees.
Within 1 hour of time = 360/12 =30 degrees.
Which means 60 mins = 30 degrees.
In one minute = 1/2 degree (half degree).
=============MINUTES HAND/ LONG HAND=============
Within 1 hour of time =360 degrees.
Which means 60 mins = 360 degrees.
In one minute = 360/60 = 6 degrees.

I think this stuff will help to solve any clock problem.

Why we multiple it by 31/6?

360/12*31/6=155.

How? Anyone please explain.

12hr=360° so,
1hr=30°
Coming to Question
10 past 5 = 5:10.

Here, from 12 noon to 5 indicate= 5*30=150° This is the angle when Time is exactly 5 o'Clock but,

In this question, Time is 5:10. Now we need to calculate how much extra distance travelled by the hour hand in that 10 min.

Converting 10 min in Hours= 10/60 = 1/6.
The Angle travelled by the minute hand in 10 = 1/6*30= 5°.
So the total Angle= 150°+ 5° = 155°.

1 hour it takes 30 degree, 5:10, 5*30=150, 1 miniute =1/2.

10 miniutes =5, total =150=5=150.

(30*hr+11/2*min)-360.
(30*5+11/2*10)-360=155.

5 hours + 10 minutes.

5*30°+ 10*0.5° {Angle made by hour hand in 1 hour =30°, the angle made by hour hand in 1 min=0.5°}
150°+5°
155°.