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 21 of 27.
MOHIT KUMAR said:
9 years ago
Solution:
12 hrs=360 degree.
means 10.25 hrs = 625 mins.
Total angle covered by 10.25 hrs = (625/720)*360 = 312(1/2) degree //Angle from 12 to 10:25.
Now angle for min hand 25 mins = (25/60)*360= 150 degree.
Reflex angle = 150+ remaining angle between 10:25 and 12.
= 150+(360-312(1/2)).
= 150+47.5.
= 197.5 degree.
Thank You.
12 hrs=360 degree.
means 10.25 hrs = 625 mins.
Total angle covered by 10.25 hrs = (625/720)*360 = 312(1/2) degree //Angle from 12 to 10:25.
Now angle for min hand 25 mins = (25/60)*360= 150 degree.
Reflex angle = 150+ remaining angle between 10:25 and 12.
= 150+(360-312(1/2)).
= 150+47.5.
= 197.5 degree.
Thank You.
Durai said:
9 years ago
1 min = 0.5 deg, 1hrs =30 deg. becz. 12h = 720 min, clock 12h = 360 deg.
Reflect angle mean measure angel more than 180 deg side.
So on clock 10.25 hrs mean the clock needle lies between 10-5.
So from 5 to 10 measure angle hours is 7 hr(Becz reflex angle method)=7X30 deg=210 deg.
25 min = 25X0.5 deg =12 1/2 deg.
Reflex angle method
Subtract hours by minutes (10hrs-25min) =210-12.5 = 197.5
Reflect angle mean measure angel more than 180 deg side.
So on clock 10.25 hrs mean the clock needle lies between 10-5.
So from 5 to 10 measure angle hours is 7 hr(Becz reflex angle method)=7X30 deg=210 deg.
25 min = 25X0.5 deg =12 1/2 deg.
Reflex angle method
Subtract hours by minutes (10hrs-25min) =210-12.5 = 197.5
Vijay Gupta said:
9 years ago
Sir, at 2:10, what will be the angle between minute and hour hand?
Soujanya said:
9 years ago
The correct method is;
1 hour = 30 degree,
1 min = 5.5 degree.
At 10 o'clock angle between them = 30*10=300
For 25min displacement between them = 25*5.5 = 137.5
So, angle between them = 300-137.5 = 162.5, for reflex angle = 360 (total angle is 360 degree) -162.5 (so, angle between them)= 197.5.
1 hour = 30 degree,
1 min = 5.5 degree.
At 10 o'clock angle between them = 30*10=300
For 25min displacement between them = 25*5.5 = 137.5
So, angle between them = 300-137.5 = 162.5, for reflex angle = 360 (total angle is 360 degree) -162.5 (so, angle between them)= 197.5.
Hai said:
8 years ago
Guys, 10:25 us equal to 10 hours and 25 minutes.
When you convert 10 hours to minutes, it is 600 minutes,
So 600+25/60.
Then simplify the fraction by dividing to their GCF, which is 5.
So, (625/60) / 5 = 125/12.
When you convert 10 hours to minutes, it is 600 minutes,
So 600+25/60.
Then simplify the fraction by dividing to their GCF, which is 5.
So, (625/60) / 5 = 125/12.
Imtiyaj said:
8 years ago
11M-60H/2 = angle.
Here, M=minute, H=hour.
Here, M=minute, H=hour.
Viraj said:
8 years ago
Formula:30(M/5-H)-M/2 if the minute hand is ahead of the hour hand.
30(H-M/5)+M/2 if the hour hand is ahead of the minute hand.
EXAMPLE: Angle for 4.15,
H=4 M=15.
Here we use the second formula because the value M/5 is less than the H.
= 30(H-M/5)+M/2,
= 30(4-15/5)+15/2,
= 75/2,
= 37.5.
30(H-M/5)+M/2 if the hour hand is ahead of the minute hand.
EXAMPLE: Angle for 4.15,
H=4 M=15.
Here we use the second formula because the value M/5 is less than the H.
= 30(H-M/5)+M/2,
= 30(4-15/5)+15/2,
= 75/2,
= 37.5.
Madhuri said:
8 years ago
Can anyone please explain me the calculation part of (360/12 *125/12)degrees?
Charu said:
8 years ago
Can anyone explain what is a reflex angle (definition)?
Pradip said:
8 years ago
@Madhuri.
We need to calculate total angle made by hour hand in 125/12 hours.
In 12 hours, hour hand cover 360 degrees.
Therefore for 1 hour = 360/12 degrees.
To calculate angle cover in 125/12 hours we multiply it with 360/12.
That is 360/12 * 125/12.
Which is similar to 30 * 125/12 { since hour hand cover 30 degrees in one hour}.
We need to calculate total angle made by hour hand in 125/12 hours.
In 12 hours, hour hand cover 360 degrees.
Therefore for 1 hour = 360/12 degrees.
To calculate angle cover in 125/12 hours we multiply it with 360/12.
That is 360/12 * 125/12.
Which is similar to 30 * 125/12 { since hour hand cover 30 degrees in one hour}.
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