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Aptitude - Clock - Discussion

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"Love is like a war, Easy to begin Hard to end."
- (Proverb)
8. 

The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:

[A]. [B]. 10º
[C]. [D]. 20º

Answer: Option B

Explanation:

Angle traced by hour hand in 13 hrs = 360 x 13 º = 130º.
3 12 3

Angle traced by min. hand in 20 min. = 360 x 20 º = 120º.
60

Required angle = (130 - 120)º = 10º.


Kittu said: (Mon, Aug 23, 2010 02:11:35 AM)    
 
Please give clear formula how 13/3 came?

Sundar said: (Tue, Aug 31, 2010 09:43:49 AM)    
 
Hi All,

We can write 4 hrs. 20 mins. as 13/3 hrs.

13/3 = 4 and (1/3)hrs

= 4.20 ( Here 1 hour = 60 mins, 1/3 of 60 is equal to 20).

Hope you understand guys. Have a nice day!

Reddilavan said: (Sun, Oct 31, 2010 11:43:47 AM)    
 
angle=(11/2)*min-30*hrs
apply this formula you can get the answer ......

Anuj said: (Wed, Dec 22, 2010 08:42:30 AM)    
 
we can convert it in hours as:
20min.=1/3hours
so total hours as 4+1/3=13/3

Nitin said: (Tue, Dec 28, 2010 08:38:10 AM)    
 
By common sense it is clear that in 20 minutes the minute hand will move 20*6=120degree and the hour hand will move20*(1/2)=10degree.
Clearly min hand will be at 20 and hour hand will be 10degree apart.

Prasad said: (Wed, Jan 5, 2011 12:17:21 PM)    
 
Apply the formula suggested by Reddilavan..
ie: Angle = 30Hr-(11/2)Min

Srilu said: (Wed, Apr 27, 2011 01:14:33 PM)    
 
In first can we take 12/3 instead of 13/3 ?

Arc said: (Sat, May 28, 2011 11:21:39 AM)    
 
Thanks Sundar.

Karan Bajaj said: (Wed, Jun 1, 2011 08:47:46 AM)    
 
Hi girls ! we can write 4.20 also as 13/3, we covert 20 min into hrs 20/60=1/3 and we add with4 hrs 4+1/3=13/3.

Have a nice day.

Anil said: (Sat, Oct 29, 2011 11:16:01 PM)    
 
Direct formula:

|11M-60H|/2

where M=minute, H=hour hands.

Saum said: (Fri, Nov 18, 2011 05:45:18 PM)    
 
Why we are substracting angle traced by hour hand and angle traced by minute hand ?

One another thing is that - if we see the clock at 4.20 hour hand is at 4 and minute hand is also at 4. So angle between them must be 0 degree.

Please clear me.

Aashish said: (Tue, Jan 3, 2012 03:45:14 PM)    
 
I agree with Saum. Can someone please clear our doubt?

Tejkishor said: (Sun, Jan 29, 2012 04:38:30 PM)    
 
@Saum

We take 12 O'clock point as reference point (r.p).

So we subtract the angle move by hr hand from the r.p. and the angle move by the min hand from the same to get the separating angle between them
and also at 4:20 the hands doesn't coincide in my watch.

Javan said: (Tue, Jan 31, 2012 11:35:22 PM)    
 
Thanks anil..

Hemant said: (Wed, Feb 1, 2012 09:35:31 PM)    
 
We can also mark the ans by common sense..ie,

1. It is clear that the angle could not be 0.

2. Since the hour hand leads the min hand, and it will be in between 4 to 5, if the time will be 4.30, hour hand exactly in mid of 4 n 5, i.e 5min=30 degree, than half is 15 degree if the time would 4.30, but it is less than the 4.30, so angle will be slightly less than the 15 degree.

Mouparna said: (Mon, Feb 27, 2012 12:02:23 PM)    
 
Thanks Prasad.........

Raviteja said: (Sat, Mar 17, 2012 11:35:04 AM)    
 
Here is a simple formula to get an angel between hands..

30*[ Difference b/t hours and ( min /5) ]+ (min/2)

Take an example 4:20

30*[4~20/5]+(20/2)=0+10 = 10

Prasant said: (Thu, Mar 29, 2012 03:23:36 PM)    
 
60 parts by min hand = 5 parts by hr hand.

20 parts by min hand = (5/60) *20 = 1 2/3 part by hr hand.

1 part = 6 degree.

1 2/3 part = 10 degree.

Mohan said: (Sat, Jul 14, 2012 09:07:46 PM)    
 
To find angle take this formula.

Angle= ( (11/2) *min-30*hour).

If we get angle value as negative take that value as positive. That will be the answer.

Nikhila said: (Wed, Nov 28, 2012 05:43:28 PM)    
 
Hey all.

We know that the minute hand is at 4 at 4. 20. We jst hav to calculate the angle moved by hour hand from 4 for 20 min.

For 60 min, Hour hand covers 360/12=30 degree.

For 20min, it covers 30*20/60= 10 degree. (Just cross multiply. ).

Arko said: (Sat, Jan 12, 2013 11:50:42 PM)    
 
The formula is 30*h- (11/2) *m.

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