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:
87 comments Page 3 of 9.

Sabungar said:   6 years ago
The clock is started noon matlab 12 o clock.

15 min =90 degree,
1 hr =360 degree,

Clock is start 12 o clock to 5 o clock .
Min hand is 10.
10*0.5=5
=> 5 and 6 gap between the 30 degrees.
So,30 -5 =25
And180-25=155°.

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.

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?

Kailash patria said:   7 years ago
Hour hand completed 150 (90+60) upto 5 o'clock.

Now, for more 10 minutes past hour hand will move 5° (30° in 60 minutes multiplied by 10 (i.e. 1/2 degree per minute).

Hence total movement 150+5=155.

Soundarya said:   9 years ago
5 min past 10.

Number of hours = 5.

Degrees rotated in 1 hour or 60= 30deg.
Degrees rotated in 5 hours = 150deg.
Degree rotated in 10 min = (30/6) =5.
Degrees rotated in 10 min past 5 = 155deg.

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.

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

Gyanendra said:   1 decade ago
I agree with @Riyaz.

The simplest way:

i.e 1 min space = 6 degree.
And in 1min hr hand travel 1/2 degree.

5*5*6 = 150 degree.
10*(1/2)degree = 5 degree.

Total = 155 degree.

Sasidhar said:   1 decade ago
Here angle In 12h is = 360 degree
angle in 10 PAST 5 means 5:10

h=5, m=10

Now

|30h-11/2m|= degree
|30*5-11/2*10| = 95 degree

Now degree=360-95=155 degree. Got it friends?

Bhimnadh ravi said:   8 years ago
There are 5 hours between 12 to 5.
We know that 1hr =30 degree,
So 5*30=150degree,
We have 10 min.
So 1min= 1/2 degree,
10min= 10/2 = 5 degree,
By adding 5+150= 155 degree.
(1)


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