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 20 of 27.

Tanu said:   9 years ago
You cleared it all, Thanks @Hell Rider.

Dhruba said:   9 years ago
The hour hand moves 1/2 degree every minute and 30 degrees each hour so after 10.25 the hour hand moves (10 * 30) + (25 * .5) = 312.5 degree.

Now the minute hand moves 6 degrees each minute so (6 * 25) = 150 degrees the reflex angle will be 360 - (312.5 - 150) = 197.5 degrees.

Sivakumar P R said:   9 years ago
Kindly find my observation for the above question is.

I. Minute hand takes 5 minute that is 300 seconds to complete a 30* space
therefore in 1 sec; 1/10 degree space it covers.

II. Hour hand takes 60 minute that is 3600 seconds to complete a 30 degree space
therefore in 1 sec; it covers 1/120 degree space.

Therefore in 25 minutes,
minute hand rotates to 25x60x1/10 = 150 degree.
and hour hand moves to 25x60x1/120 = 17.5 degree.

ie., in 25 minutes from 10 o'clock; minute and hour hand forms an angle of 192.5 (150 + 30 +(30 - 17.5)) degree.

Therefore the reflex angle will be 167.5 degrees.

Please correct me if I am wrong.

Anonomous said:   9 years ago
The best way to do is using this formulae 11/2m - 30h.

Siri said:   9 years ago
But By using that formulate the answer is 162.5, So the answer is not matched with the given options. So how to correct the answer?

Trilok said:   9 years ago
General formulae is (30h-11/2m).

But for reflection angle 360-(30h-11/2m).

Ahmed Naqvi said:   9 years ago
A Reflex Angle is one which is more than 180° but less than 360°.

Anonymous said:   9 years ago
@Hell Rider cleared it very well.

Deepak k swami said:   9 years ago
the maxim angle 180° not possible greater than 180°.

Chintan said:   9 years ago
What is Reflex angle at 2:30?

Please give the answer.


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