Aptitude - Clock - Discussion
Discussion Forum : Clock - General Questions (Q.No. 3)
3.
A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:
Answer: Option
Explanation:
Angle traced by hour hand in 12 hrs = 360°.
| Angle traced by hour hand in 5 hrs 10 min. i.e., | 31 | hrs = |  |
360 | x | 31 |  |
° | = 155°. |
| 6 | 12 | 6 |
Discussion:
87 comments Page 6 of 9.
Mohd faisal said:
10 years ago
Formula = (Section-Difference) multiply by 30 +or- minute/2.
According to Formula time = 5:10.
(10-5) multiply 30+10/2.
= 5*30+5 = 150+5.
155 is answer.
According to Formula time = 5:10.
(10-5) multiply 30+10/2.
= 5*30+5 = 150+5.
155 is answer.
Hemanth reddy said:
10 years ago
5 hrs 10 min's (given) > 1 hr = 30 degrees > 5 hrs = 150 degrees.
60 min = 30 degrees > 1 min = 0.5 degrees > 10 min = 5 degrees 5 hrs 10 min = 150+5 = 155.
60 min = 30 degrees > 1 min = 0.5 degrees > 10 min = 5 degrees 5 hrs 10 min = 150+5 = 155.
Sarawar said:
10 years ago
At n'o clock the angle of hour hand from vertical is 30 n; speed of hour hand is 5 degree per minute; speed of minute hand is 6 dpm.
At 5.10 angle of hour hand from vertical 5*30+0.5*10 = 155 degree.
Angle of minute hand from vertical 6*10 = 60;
Angle between hour and minute hand = 155-60 = 96.
Reflex angle 360-96 = 264.
At 5.10 angle of hour hand from vertical 5*30+0.5*10 = 155 degree.
Angle of minute hand from vertical 6*10 = 60;
Angle between hour and minute hand = 155-60 = 96.
Reflex angle 360-96 = 264.
Shiv said:
1 decade ago
@Shravan Sir your explanation is mind blowing.
Jatinder said:
1 decade ago
In 1 min hour hand = 1/2 degree /min.
For 10 min = 10*(1/2) = 5 degree.
In 1 hr hour hand takes 30 degree.
For 5 hr = 5*30 = 150.
And total angle traveled by hr hand = 150+5 = 155 degree.
For 10 min = 10*(1/2) = 5 degree.
In 1 hr hour hand takes 30 degree.
For 5 hr = 5*30 = 150.
And total angle traveled by hr hand = 150+5 = 155 degree.
SAGAR BISWAS said:
1 decade ago
Nice solution I appreciate.
Abina said:
1 decade ago
It is very simple, the question is 5hrs and 10 mns. They are asking short hand. So,
In short hand 1 min = 1/2 degree.
1 hr = 60min/2 = 30.
5hr = 5*30 = 150.
1 min = 10/2 = 5.
= 150+5 = 155 degree.
Answer : 155 degree.
In short hand 1 min = 1/2 degree.
1 hr = 60min/2 = 30.
5hr = 5*30 = 150.
1 min = 10/2 = 5.
= 150+5 = 155 degree.
Answer : 155 degree.
Bilal said:
1 decade ago
Very simple we know that an hour hand covers 30' when moving from one number to next as total circle has 360/12 so 5 hour means it has covered an angle of 150' the rest 10 min should be converted first into hour as 10/60 and then multiplied with the same 30' to get 5. Now add 150+5 and you will get 155.
John said:
1 decade ago
@Shravan Purohit's explanation is superb. I found it difficult understanding it initially but after @Shravan's explanation, I now understand it perfectly. Thanks Shravan.
Goutam pramanik said:
1 decade ago
Angle = 60*h-11*m/2.
Where, h=hour, m=minute.
Where, h=hour, m=minute.
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