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:
89 comments Page 6 of 9.
Rupa said:
1 decade ago
If 1hr=30degrees.
Then 5hrs= (5*30) =150degrees.
And then 10min= (10/60) =1/6.
1/6*30=5degrees.
The total is 155degrees.
Then 5hrs= (5*30) =150degrees.
And then 10min= (10/60) =1/6.
1/6*30=5degrees.
The total is 155degrees.
Sowmya said:
1 decade ago
How can it be 360-95=155? it is 265. I don't understand the logic.
Mary said:
1 decade ago
Its easy
1hr=30 degree
ie 5hr=5*30=150 degree
also
10 min=10/60hr=1/6hr
we know 1hr=30 degree
ie
(1/6)*30=5 degree
so 150 deg+5 deg=155 deg.
its solved :)
1hr=30 degree
ie 5hr=5*30=150 degree
also
10 min=10/60hr=1/6hr
we know 1hr=30 degree
ie
(1/6)*30=5 degree
so 150 deg+5 deg=155 deg.
its solved :)
Leenus said:
1 decade ago
I can't understand "by 10 mins past 5".
Madesh said:
1 decade ago
Don't worry I will explain Clearly....
Past 5 means 5 hours.. and 10 mins out of 60 mins.. that's (10/60)
So.. 5hrs + 10 mins= 5+(10/60) = 5+(1/6).. so. 6*5+1= 31/6hrs..
1hr= 30 degree... so 5hrs= 150 degree and that past 5(means 5degree)...
So 150+5 = 155.
Past 5 means 5 hours.. and 10 mins out of 60 mins.. that's (10/60)
So.. 5hrs + 10 mins= 5+(10/60) = 5+(1/6).. so. 6*5+1= 31/6hrs..
1hr= 30 degree... so 5hrs= 150 degree and that past 5(means 5degree)...
So 150+5 = 155.
Kranti said:
1 decade ago
Very nice explanatoin given by shravan.
Vinay said:
1 decade ago
It is for 5 hours 10 minutes from noon (12).
Riyaz said:
1 decade ago
A simple process is available Here:
Angle made by hour hand in one hour = 30 degrees.
By 5 hours = 5*30=150 deg.
Angle made by hour hand in one minute= 0.5 degrees.
For 10 min = 10*0.5 = 5 degrees.
Total angle made by Hour hand = 150+5 = 155 degrees.
Angle made by hour hand in one hour = 30 degrees.
By 5 hours = 5*30=150 deg.
Angle made by hour hand in one minute= 0.5 degrees.
For 10 min = 10*0.5 = 5 degrees.
Total angle made by Hour hand = 150+5 = 155 degrees.
Narendran, S S said:
1 decade ago
Angle between hr and min is given by
A =30*hr~(11/2)*min
= 30*5 - (11/2)*10
= 95 degrees
Now the angle swiped by the min hand alone is
6 degrees per min
hence 60 degrees per 10 min
Angle swiped by hr hand alone is
A+60 = 95+60 = 155 degrees.
A =30*hr~(11/2)*min
= 30*5 - (11/2)*10
= 95 degrees
Now the angle swiped by the min hand alone is
6 degrees per min
hence 60 degrees per 10 min
Angle swiped by hr hand alone is
A+60 = 95+60 = 155 degrees.
Resham said:
1 decade ago
Initially both hands are at 12(noon)
1 hr= 30 dgrs ( 12 to 5 = 5 hrs)
so 5*30 = 150 dgrs and
in 60 mins cover 30 dgrs
in 10 mins= 30/60
in 1 min= 30/60*10= 5 dgrs
so
150 + 5 = 155 dgrs
1 hr= 30 dgrs ( 12 to 5 = 5 hrs)
so 5*30 = 150 dgrs and
in 60 mins cover 30 dgrs
in 10 mins= 30/60
in 1 min= 30/60*10= 5 dgrs
so
150 + 5 = 155 dgrs
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