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.

Ravikiran said:   7 years ago
1hr=30degrees.

Therefore 5hr and 10min=5*30=150=X.
=10min=5degree=Y,
Z=X+Y,
Z=150+5,
Z=155 degree.

Phaneendra said:   7 years ago
10 min past to 5 means time is 4:50.

Suhana said:   7 years ago
Hello everyone.

min=10 past=5 it means,
10 hours 5 min,
so, 10+5/60 = 31/6,
Therefore, hour hand = (360/12 * 31/6) = 155 Ans.
(1)

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.

Anil said:   7 years ago
5 hours + 10 minutes.

5*30°+ 10*0.5° {Angle made by hour hand in 1 hour =30°, the angle made by hour hand in 1 min=0.5°}
150°+5°
155°.

Renoop said:   7 years ago
(30*hr+11/2*min)-360.
(30*5+11/2*10)-360=155.

Veeeateja said:   8 years ago
1 hour it takes 30 degree, 5:10, 5*30=150, 1 miniute =1/2.

10 miniutes =5, total =150=5=150.

Thambi said:   8 years ago
Hint : Clock started at noon therefore 10min past of 5 means that the clock time is 4:50
hence, now observe the clock 12(-6),1,2,3,4,5,6,7(-1),8(-2),9(-3),10(-4),11(-5) here - indicates opposite.

So now 4:50 means 4 is hours hand 50 is min hand which is -4.

Therefore 4-4=180(complete cycle). Now answer is (180-(50/2))=155. Why 50/2 means 50 is min covered, we know in 1hr it covers 30 degrees then in 1min it covers 1/2degrees therefore in 50min it covers 50/2 degrees.
(1)

Mudasir rashid said:   8 years ago
Firstly, convert 5hrin minutes.
5*60=300
Add 10 min
=310min.

Now convert 310min in hr.

310min=310/60=31/6hr.
1 hr=(360/12)°.
31/6hr=(360/12)*31/6=155°.

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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