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 12 of 27.
Thangarajesh said:
1 decade ago
Angle between 2 hands = 30 hours - 11/2 minutes
= 30 (10)- 11/2 (25)
=162.5 degree
Reflex angel = 360 - angle between 2 hands
= 197.5
= 30 (10)- 11/2 (25)
=162.5 degree
Reflex angel = 360 - angle between 2 hands
= 197.5
Nikhila said:
1 decade ago
It can even be solved like this:
HOUR HAND:
For 1 hour, i.e., 60min angle covered by hour hand =360/12=30deg
For 25 min= (30*25/60) (cross multiply)= 12.5 deg.
Minute hand:
It goes from 10 and stops at 5 for 10.25
Therefore angle covered=(360*7/12)=210
Now subtact angle moved by minute hand from hour hand
210-12.5= 197.5 deg.
HOUR HAND:
For 1 hour, i.e., 60min angle covered by hour hand =360/12=30deg
For 25 min= (30*25/60) (cross multiply)= 12.5 deg.
Minute hand:
It goes from 10 and stops at 5 for 10.25
Therefore angle covered=(360*7/12)=210
Now subtact angle moved by minute hand from hour hand
210-12.5= 197.5 deg.
Akshay said:
1 decade ago
If have to calculate angle at time hh:mm
Use formala as
Angle=|30(hh)-11/2(mm)|
To calculate calculate reflex angle use
Reflex Angle= 360-|30(hh)-11/2(mm)|
Use formala as
Angle=|30(hh)-11/2(mm)|
To calculate calculate reflex angle use
Reflex Angle= 360-|30(hh)-11/2(mm)|
M Satheesh said:
1 decade ago
Short hand or hour hand = 360/12 = 30
Long hand or minute hand= 360/60 = 6
When 10.25 is the short hand in the clock then 10x30=300 and 25x30/60=12.5
Adding this 300+12.5=312.5
When 25 minute long hand is 25x6=150
=360-[312.5-150]=197.5.
Long hand or minute hand= 360/60 = 6
When 10.25 is the short hand in the clock then 10x30=300 and 25x30/60=12.5
Adding this 300+12.5=312.5
When 25 minute long hand is 25x6=150
=360-[312.5-150]=197.5.
Reshma john said:
1 decade ago
THERE IS A READY MADE FORMULA FOR THIS KIND OF PROBLEM:
1/2(60H-11M).
WHERE ,
H = HOUR
M = MINUTE.
Eg:10.30 can be written as
1/2(60*10-11*30).
As per problem.
1/2(60*10-11*25)
= 1/2(600-375)
= 1/2(325)
= 162.5.
In question it is asked reflex angle so,
= 360 - 162.5.
= 197.5.
1/2(60H-11M).
WHERE ,
H = HOUR
M = MINUTE.
Eg:10.30 can be written as
1/2(60*10-11*30).
As per problem.
1/2(60*10-11*25)
= 1/2(600-375)
= 1/2(325)
= 162.5.
In question it is asked reflex angle so,
= 360 - 162.5.
= 197.5.
Vani said:
1 decade ago
How is the angle traced by hours hand is 125/12.
Vikrant shukla said:
1 decade ago
10:25 converted min. and div. 60 that is ((10*60)25)/60 = 125/12.
IRSHAD said:
1 decade ago
@Vani here 10.25 means 10 + (25/60).
i.e. 10 + (5/12).
i.e. 125/12.
i.e. 10 + (5/12).
i.e. 125/12.
Raambharath said:
1 decade ago
Finding the angle= (11/2) M - (30) H.
M is the minutes.
H is the hours.
10:25.
(11/2) 25 - 30*10.
M is the minutes.
H is the hours.
10:25.
(11/2) 25 - 30*10.
Thejas said:
1 decade ago
|30h-(11/2)m| ----> Formula to find angle between 2 hands.
|30*10-(11/2)25|
|300-275/2|
|(600-275)/2|
|325/2|
162.5 degrees.
Reflex angle is 360 - 162.5 = 197.5.
|30*10-(11/2)25|
|300-275/2|
|(600-275)/2|
|325/2|
162.5 degrees.
Reflex angle is 360 - 162.5 = 197.5.
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