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:
269 comments Page 18 of 27.
Darwin Lamsal said:
10 years ago
10 hrs and 25 minutes =125/12.
That's all.
That's all.
Ashwini said:
10 years ago
Formula:
0.5[60*H-11*M].
= 0.5[60*10-11*25] = 162.5.
If angle is greater than 180 degree than subtract from 360 degree.
= 360-162.5 = 162.5.
0.5[60*H-11*M].
= 0.5[60*10-11*25] = 162.5.
If angle is greater than 180 degree than subtract from 360 degree.
= 360-162.5 = 162.5.
Ashwini said:
10 years ago
@Rizwan,
Use this formula. You get answer for angle between 6.25.
Use this formula. You get answer for angle between 6.25.
Shez said:
10 years ago
At 10 o'clock angle between them = 300.
For 25 min displacement between them = 25*5.5 = 137.5.
So, angle between them = 300-137.5 = 162.5.
For reflex angle = 360-162.5 = 197.5.
OR 30H - (11/2) M.
H----Hours.
M----Minutes.
So, substitute 30(10) - (11/2)(25).
= (300-137.5) = 162.5.
If the angle is < 180 sub from 360 viceversa.
= 360-162.5 = 197.5.
For 25 min displacement between them = 25*5.5 = 137.5.
So, angle between them = 300-137.5 = 162.5.
For reflex angle = 360-162.5 = 197.5.
OR 30H - (11/2) M.
H----Hours.
M----Minutes.
So, substitute 30(10) - (11/2)(25).
= (300-137.5) = 162.5.
If the angle is < 180 sub from 360 viceversa.
= 360-162.5 = 197.5.
SAI CHAKRADHAR said:
10 years ago
Write 10:25 as.
10*25/60 = 10*5/12 = (10*12 = 120 + 5 = 125/12).
Therefore, now we should multiply with 30.
(125*30/12 = 625/2 = 312.5).
Now 25 minutes should be multiply with 6.
(25*6 = 150).
And then subtract 150 from 312.5.
(312.5 - 150 = 162.5).
Reflex angle = (360 - 162.5 = 197.5).
10*25/60 = 10*5/12 = (10*12 = 120 + 5 = 125/12).
Therefore, now we should multiply with 30.
(125*30/12 = 625/2 = 312.5).
Now 25 minutes should be multiply with 6.
(25*6 = 150).
And then subtract 150 from 312.5.
(312.5 - 150 = 162.5).
Reflex angle = (360 - 162.5 = 197.5).
Priyankasarkar said:
9 years ago
From where did you get 125/12?
Akshay salvi said:
9 years ago
Hi, friends.
It is very simple when we are calculating for hours hand we divide it by 60mins
while for minutes, we divide it by 60.
It is very simple when we are calculating for hours hand we divide it by 60mins
while for minutes, we divide it by 60.
Yugesh said:
9 years ago
@Akshay
Please give me the derivation of this formula Angle=|30(hh)-11/2(mm)|.
Please give me the derivation of this formula Angle=|30(hh)-11/2(mm)|.
Fahad said:
9 years ago
This is very simple method.
10.25 means hour hand is at 10 and the minute hand is at 5. So angle between them is 10 - 5 = 5hrs.
Since 12hrs is 360 degree.
1hr = 30degree. So, 5 * 30 = 150degree. But when it is 25minutes.
We have a small angle that has to be added ie. 25minutes = 12. 5degree.
Since 1minute is 1/2degree.
Therefore 150 + 12.5 = 162.5.
But they asked reflex angle so, 360degree - 162.5degree = 197.5degree.
10.25 means hour hand is at 10 and the minute hand is at 5. So angle between them is 10 - 5 = 5hrs.
Since 12hrs is 360 degree.
1hr = 30degree. So, 5 * 30 = 150degree. But when it is 25minutes.
We have a small angle that has to be added ie. 25minutes = 12. 5degree.
Since 1minute is 1/2degree.
Therefore 150 + 12.5 = 162.5.
But they asked reflex angle so, 360degree - 162.5degree = 197.5degree.
Priyanka said:
9 years ago
Simple calculation:
angle = (60H - 11M/2).
= 60 * 10 - 11 * 25/2.
= -162.5.
Now add it with 360.
360 + (-162.5).
197.5 -> Answer.
angle = (60H - 11M/2).
= 60 * 10 - 11 * 25/2.
= -162.5.
Now add it with 360.
360 + (-162.5).
197.5 -> Answer.
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