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:
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 | 1° | . |
| 2 | 2 | 2 |
Discussion:
270 comments Page 9 of 27.
Ravi said:
1 decade ago
Angle traced in 1 hour=360/12=30 angle
Angle traced in 10 hours=30*10=300 angle
Angle traced in 25min=25/60hour=30*25/60 angle=25/2=12.5 angle=12(1/2)
total Angle traced in 10hour25min=300+12.5 angle =312(1/2)
Angle traced by minute hand in 25 min =(360/60)*25=150 angle
hence 312(1/2)-150=197.5=197(1/2)
Angle traced in 10 hours=30*10=300 angle
Angle traced in 25min=25/60hour=30*25/60 angle=25/2=12.5 angle=12(1/2)
total Angle traced in 10hour25min=300+12.5 angle =312(1/2)
Angle traced by minute hand in 25 min =(360/60)*25=150 angle
hence 312(1/2)-150=197.5=197(1/2)
Jitendra chauhan said:
1 decade ago
It is very easy. We can solve it like
10.25 hr=10hr+25 min
=(10+25/60)hr
=10+5/12
=(120+5)/12
=125/12 hr
10.25 hr=10hr+25 min
=(10+25/60)hr
=10+5/12
=(120+5)/12
=125/12 hr
Wasim said:
1 decade ago
Reflex angle is defined as the angle obtained when the angle between hour and minute hand is subtracted from 360 degree.
Gouthamprasanna said:
1 decade ago
To calculate the reflex angle formula is
= 360-(30*H-11/2*M)
Where His hours hand and M is minute hand.
= 360-(30*H-11/2*M)
Where His hours hand and M is minute hand.
Jyothipriya said:
1 decade ago
Please explain the concept clearly how to find the exact reflex angle.
Balaji said:
1 decade ago
Prassaa is correct. First use the formula 30h-(11/2)m. if the answer comes 180 below. I think all of you got the answer is 137.5
Then simply subtract it from 360. Then we get the 197.5 like that.
Otherwise I mean if the answer comes 180+ then that is the answer no need subtract it from 360.
Then simply subtract it from 360. Then we get the 197.5 like that.
Otherwise I mean if the answer comes 180+ then that is the answer no need subtract it from 360.
Vasuroshan said:
1 decade ago
Nice expalnation guys. I have a known formula.
30H-(11/2)M where H----Hours
M----Minutes
So, sub.. 30(10)-(11/2)(25)
(600-275)/2=162.5
If the angle is <180 sub from 360 viceversa...
360-162.5=197.5
I Hope You guys can understand.
30H-(11/2)M where H----Hours
M----Minutes
So, sub.. 30(10)-(11/2)(25)
(600-275)/2=162.5
If the angle is <180 sub from 360 viceversa...
360-162.5=197.5
I Hope You guys can understand.
Bhavana said:
1 decade ago
I cannot understand how to calculate 125/12
Durga said:
1 decade ago
Here we have given 10.25
=>the hour hand will rotate 10 hrs and 25 minute
But we know that 60minute =1hr
so 1min=1/60hrs
25 min=25/60=5/12 hrs.........................................(1)
the hour hand covered 10 hrs and 25 minute
So total hour covered=
10+5/12 hrs {from equation 1}
=(120+5)/12
=125/12
=>the hour hand will rotate 10 hrs and 25 minute
But we know that 60minute =1hr
so 1min=1/60hrs
25 min=25/60=5/12 hrs.........................................(1)
the hour hand covered 10 hrs and 25 minute
So total hour covered=
10+5/12 hrs {from equation 1}
=(120+5)/12
=125/12
Madhu said:
1 decade ago
Even I wanted to know why hte reflex angle is calculated as 125/12.
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