Aptitude - Clock - Discussion

Discussion Forum : Clock - General Questions (Q.No. 2)
2.
The reflex angle between the hands of a clock at 10.25 is:
180°
192 1 °
2
195°
197 1 °
2
Answer: Option
Explanation:

Angle traced by hour hand in 125 hrs = 360 x 125 ° = 312 1 ° .
12 12 12 2

Angle traced by minute hand in 25 min = 360 x 25 ° = 150°.
60

Reflex angle = 360° - 312 1 - 150 ° = 360° - 162 1 ° = 197 .
2 2 2

Discussion:
269 comments Page 27 of 27.

Rahul said:   5 years ago
Thank you all.

Sachin Kumar H S said:   5 years ago
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.

Sumit said:   5 years ago
@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

Kezang said:   5 years ago
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.

Sahithis said:   5 years ago
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

Meghna said:   5 years ago
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.

Prajwal said:   4 years ago
Using formula:

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

Simit said:   4 years ago
@All.

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

Varun said:   4 years ago
@Meghna

Because in 25 minutes the hour hand would have moved ahead of 10. (At the rate of 0.5' per minute) '.

It was exactly at 10 when the minute hand was at 12.


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