Aptitude - Clock - Discussion

Angle made by hour hand for every hour is 360/12 = 30.
Angle made by hour hand for every minute is 30/60 = 0.5,
Angle made by hour hand when the time is 10 is 300.
Angle made by hour hand when the time is 10:25 is 300+(25*0.5) = 312.5,
Angle made by minute hand when the time is 10:25 is 30*5 = 150,
Angle between the hour hand and minute hand at 10:25 is 312.5-150 =162.5,
The reflex angle between the hour and minute hand at 10:25 is 360-162.5 = 197.5.

Guys, I have another formula applicable to find the angle between two hands of the clock,
Angle.

A = ((60 * hour given) - (11 * mins given))/2.

Therefore from the above problem - given 10:25.

A = ((60*10) - (11*25))/2.
After solving the above equation we get Angle A=162.5 Deg.
Now reflex angle = 360 - angle obtained.
= 360 - 162.5.
= 197.5 Deg.

@All.

We have to give 10.25 min.
It means 10 hours 25 min.
We need to convert 25 min into hours.
That's, why I m going for 25 divides by 60 that converts into an hour and then we calculate.

Thanks, guys

11/2m-30 x h,
11/2x25-30 x 10,
137.5 - 300,
162.5.

A reflex angle is 360 degree.
So, 360 - 162.5= 197.5 degree.

We can use the formula angle=30h-11/2 m ; m=minutes, h=hours.
Since they asked for reflex angle subtract the result from 360.
Angle = 30(10)-11/2(25)=325/2.
360-325/2 = 197.5

When we calculated the angle swept by hr hand we added the minutes, like 10 + (25/60). Why?
Why can't it be just 10? Please anyone explain.

Using formula:

Reflex angle = 360 - 11 * M/2 - 30 * H.

For some angle θ (theta),
Original angle = θ ,
Reflex angle = (360 - θ).

@All.

10.25 is actually ten hours and 15 mins (.25*60).

Hand at 10:25,it means;

See Hour hand first, in terms of minutes=10*60+25 = 625min.
Convert it into Hours,:625/60=125/12 (Divide in both by 5).
Since we know angle made by Hours hand is: in 12Hours = 360degree.
So in 1Hours=360/12=30degree.

So in 125/12Hours=125/12 * 360/12=45000/144 = 312.5 = 312 ,1/2degree.
In Minutes hand in 25Min = 25 * 6 = 150degree.
Angle between Hands = 312.5 - 150 = 162.5degree.
So, the Reflex angle = 360 - Angle between Hands.
360-162.5=197.5.
it means 197 1/2 is the correct Answer.