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 23 of 27.

Manish said:   6 years ago
(11/2)*25 = 30*10(+-)θ.
11*25-600/2 = (+-)θ.
162.5.

Reflex angle = 360- 162.5.
192.5 (option D).

Salma said:   6 years ago
Use direct formula.

Which is used to find angle between the two hands at a time, h, m is;
30*h - 5.5*m.
So here,
h=10, m=25.
300*10 - 5.5 * 25 = 162.5.
360 - 162.5 = 197.5 (option D).
(1)

Vru said:   6 years ago
Answer is 180 degrees.

In one hour, the hour hand rotates 30 degrees.

In 6 hours, the hour hand rotates 180 degrees.

Hence, the answer is D.

ARUL M S said:   6 years ago
What is the angle between the hour hand and minute hand, when the clock shows 10.25?

Suvetha said:   6 years ago
Thanks for explaining it @Shreekanth.

Ravi said:   6 years ago
Nice, thanks for the explanation. @Salma.

Aanand said:   6 years ago
Simply;

Angle: (30*hours given)-(11/2 * minutes given).

And here it is told to find the reflex angle so subtract 360° from the angle, we will get the answer.

Sachin said:   6 years ago
10:25 ,
10*60+25=625 min.

And 625/2 degree.
25*6 = 150 degree.

∠ = 625/2 - 150 = 325/2.
The reflex angle = 360-325/2 = 395/2 = 197.5.

Sandhya Reddy said:   6 years ago
What is a reflected angle? Please explain.

Harshini said:   5 years ago
Thanks all for explaining this.


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