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Aptitude - Clock - Discussion

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"Forgiveness is a virtue of the brave."
- Indira Gandhi
5. 

How much does a watch lose per day, if its hands coincide every 64 minutes?

[A].
32 8 min.
11
[B].
36 5 min.
11
[C]. 90 min.[D]. 96 min.

Answer: Option E

Explanation:

55 min. spaces are covered in 60 min.

60 min. spaces are covered in 60 x 60 min. = 65 5 min.
55 11

Loss in 64 min. = 65 5 - 64 = 16 min.
11 11

Loss in 24 hrs = 16 x 1 x 24 x 60 min. = 32 8 min.
11 64 11


K.Kiran Kumar said: (Wed, Aug 4, 2010 12:48:55 AM)    
 
I cant get the question what it means. Please someone try to explain it.

Ravi said: (Tue, Aug 24, 2010 12:52:05 PM)    
 
I can't understand this: (60/55*60) why this step is used....plz someone explain me ?

Tarak B Patel said: (Wed, Aug 25, 2010 03:21:35 PM)    
 
Solution:

In 1 hour both the hands cover 55 min space.
=> 60/55 = 12/11 min space covered in 1min of the actual time.

for the hand to coincide hands have to cover 60 min space
=> 12/11 * 60 = 720/11 = 65.5/11 min in actual clock.

But the clock coincides every 64 min.
=>65.5/11 - 64 = 1.5/11 = 16/11 min loss in 64min.
=>16/11 * 1/64 = 1/44 min loss in 1min.

Loss In 24 Hrs => 1/44 * (24 *60) = 360/11 = 32.8/11 min the clock looses in a day.

Soumya said: (Wed, Jan 12, 2011 01:18:58 AM)    
 
Why we multiply 1/64 ?

Priya said: (Fri, Jun 24, 2011 12:12:21 PM)    
 
How 55 spaces in 60 mins? couldnt get that.

Sharat said: (Wed, Dec 14, 2011 11:01:53 AM)    
 
What is this min. space?

Does it mean the min. hand lags the hour by 5 min. space ?

Maddy said: (Fri, Jan 13, 2012 05:58:35 PM)    
 
To coincide with each other space(ticks) between them should be ZERO(no space).

Consider starting from 12 noon.

in 1 hr--> min hand covers spaces(ticks) =60
in 1 hr--> hour hand covers spaces(ticks) = 5
so in 1 min --> hour hand covers 5/60=1/12 space(tick)

so after 1 hr=60 mins (1.00) spaces between them will be equal to 5
so have to cover 5 places for minute hand to meet hour hand
total time = 60+5 ... but in 5 mins hour hand will further go ahead by 5*1/12 ticks
so have to cover 5/12 ticks for minute hand to meet
total time = 60+5+5/12 ... but agin in 5/12 mins hour hand will go ahead buy 5/12*1/12= 5/12^2... and so on

So total time will be = 60+5+(5/12+5/12^2+5/12^3+.........) this GP
total time to meet = 720/11 i.e., 65.(5/11).

This time required to coincide hands in correct clock... solve accordingly.

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