Aptitude - Clock - Discussion

Discussion Forum : Clock - General Questions (Q.No. 3)
3.
A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:
145°
150°
155°
160°
Answer: Option
Explanation:

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

Angle traced by hour hand in 5 hrs 10 min. i.e., 31 hrs = 360 x 31 ° = 155°.
6 12 6

Discussion:
87 comments Page 6 of 9.

Bhadra said:   9 years ago
Thanks for your explanation @Shreya Raut.

Mehak said:   9 years ago
How 31/6?

Still can't understand.

Mohan said:   9 years ago
How 31/6 will come? Please explain me.

Vinoth said:   9 years ago
Best explanation, thanks @Shreya Raut.

Yash said:   8 years ago
It is too much simple.do not complicate it.

Just convert hours into minutes..so, we can say.

12 hours = 360°.

Convert 12 hours into minutes= 720 minutes,
and 5 hours and 10 minutes= 310 minutes,


So simple formula fir that is;
720 minutes = 360°
310 minues = (?).

So,
Cross multiply it and then divide.

(310 * 360)/720.
It become 111,600/720= 155°.
(1)

Mayukumarswamy said:   8 years ago
@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.

Tejas said:   8 years ago
Why we multiple it by 31/6?

Bhimnadh ravi said:   8 years ago
There are 5 hours between 12 to 5.
We know that 1hr =30 degree,
So 5*30=150degree,
We have 10 min.
So 1min= 1/2 degree,
10min= 10/2 = 5 degree,
By adding 5+150= 155 degree.
(1)

Mudasir rashid said:   8 years ago
Firstly, convert 5hrin minutes.
5*60=300
Add 10 min
=310min.

Now convert 310min in hr.

310min=310/60=31/6hr.
1 hr=(360/12)°.
31/6hr=(360/12)*31/6=155°.

Thambi said:   8 years ago
Hint : Clock started at noon therefore 10min past of 5 means that the clock time is 4:50
hence, now observe the clock 12(-6),1,2,3,4,5,6,7(-1),8(-2),9(-3),10(-4),11(-5) here - indicates opposite.

So now 4:50 means 4 is hours hand 50 is min hand which is -4.

Therefore 4-4=180(complete cycle). Now answer is (180-(50/2))=155. Why 50/2 means 50 is min covered, we know in 1hr it covers 30 degrees then in 1min it covers 1/2degrees therefore in 50min it covers 50/2 degrees.
(1)


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