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.

Vinayak Mahadev said:   8 years ago
10.25.
10*60=600 min.

25 min
625min /60 min. = 125/12 hr.

Dony David said:   8 years ago
Use this formula (max of the problems will be solved).

Angle=30h-11/2(m)
so acc to given values the time is 10:25,
so h=10,m=25
on solving
angle=30(10)-11/2(25)
=300-11 x12.5
=300-137.5
=162.5(this is internal angle).

Therefore==> reflex=360(this is total angle of clock)-162.5,
=360-162.5,
=197.5,
==>197 1/2 deg.

ANAND MAURYA said:   8 years ago
Hour Hand: 10:25
1 Hour=30° 10*30=300°
1 Minute=1/2° 25*1/2=25/2°
(300+25/2)°;

Minute Hand: 25
1 Minute=6° 25*6=150°;

Angle b/w HH & MH = (300+25/2-150)°,

Reflexive Angle = [360-(300+25/2-150)]°,
Reflexive Angle = 197.5°.

Shaik salman said:   8 years ago
Formula:|11/2(M)-30(H)| here M=minutes, H=hour.

Given time 10:25 substitute in above formula.

|11/2(25)-30(10)| = 1621/2.

Reflexive Angle = [360-162.5] = 197.5deg.

Mitul said:   8 years ago
I have made a formula to calculate clock angle.

(h-(m/5))*30 + m/2 (for calculating ordinary angle)
360 - (this formula for calculating reflex angle)

Hope it Helps!

Mahi said:   8 years ago
1) For 12 hrs 360 degree (for 1 hr 30 degree) for 10 hrs 300 degree & for 25 min converted in to hrs ie ( 25 min/60 min*30 degree)=(25/60*30)12.5 degree total-300+12.5=312.5 degree.

2) for 60 min 360 degree for 25 min 150 degree we get 1)312.5 degree & 150 degree
diff 162.5 deduct rom 360 162.5 ans-197.5 deg.

Priya said:   8 years ago
How you get 125/12?

A.Margaret said:   8 years ago
The angle b/w 10 & 5(10:25) is 150.

For 25 min,hr hand moves 12.5 degrees.the actual angle now is 150+12.5=162.5.To calculate reflex angle 360-162.5=197.5

For simple understanding,let's assume the time is now 12.we can say the angle b/w hr hand & min hand is 0 or 360(reflex angle). At 1'o clock the angle is 30 or 330(reflex).likewise at 10:25 the angle is 162.5 or 197.5.

Mugdha said:   8 years ago
How did you get 162.5 or 197.5? @A.Margaret.

Dula said:   8 years ago
Thanks all for the given explanation.


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