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:
145°
150°
155°
160°
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:
88 comments Page 6 of 9.

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 :)

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.

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).

Navaneetha krishnan said:   1 decade ago
Sir i can't understand that 155 degree for which timing?

Santthosh said:   1 decade ago
I accept all of your comments, but what my doubt is if minute hand makes 5 ticks of 6 degree to contribute 5 minutes, then hour hand is making 6 ticks of 5 degree to contribute 1 hour. Why this variations in the ticks?

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

Naveed Mohammad said:   1 decade ago
Formula for finding degree when min and hr ar given is

angle = (11/2)*m - 30*h when (11/2)*m > 30*hr
angle = 30*hr-(11/2)*m when (30hr > (11/2)*m

where m = min, hr = hours

=30*5-(11/2)*10
=150-(120/2)
=(300-120)/2
=180/2
=90 degrees

Its a time institute materiel solution.


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