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Aptitude - Clock - Discussion

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"No one is as deaf as the man who will not listen."
- (Proverb)
2. 

The reflex angle between the hands of a clock at 10.25 is:

[A]. 180º[B].
192 1 º
2
[C]. 195º[D].
197 1 º
2

Answer: Option C

Explanation:

Angle traced by hour hand in 125 hrs = 360 x 125 º = 312 1 º .
12 12 12 2

Angle traced by minute hand in 25 min = 360 x 25 º = 150º.
60

Reflex angle = 360º - 312 1 - 150 º = 360º - 162 1 º = 197 1 .
2 2 2


Pallavi said: (Tue, Jul 13, 2010 06:09:10 AM)    
 
Please let me know why "Angle traced by hour hand" is calculated for 125 /12 hrs

Pallavi said: (Tue, Jul 13, 2010 06:15:12 AM)    
 
I got the answer for my previous question. But one more thing I want to now is how reflex angle calculated . and why?

Ramya said: (Mon, Jul 26, 2010 07:46:09 AM)    
 
How did you get 125/12?

Sundar said: (Mon, Jul 26, 2010 07:55:58 AM)    
 
Hi Ramya and Pallavi,

We can write 10.25 (10 hrs 25 mins) as 125/12 hrs.

Have a nice day.!

Manoj said: (Tue, Jul 27, 2010 04:51:49 PM)    
 
10 hrs 25 min= 10.25/60. = 10.5/12 =(12*10+5)/12 =125/12

Ankit said: (Fri, Jul 30, 2010 07:07:36 AM)    
 
How to calculate reflex angle?

Bret said: (Mon, Aug 9, 2010 06:38:27 AM)    
 
@manoj how 10.5/12

Shalini said: (Tue, Aug 17, 2010 03:19:26 PM)    
 
Why multiplied by 12 and not 60?

Shreekanth said: (Thu, Aug 19, 2010 02:04:12 AM)    
 
Hello friend... time into fraction

10hrs 25 min should be taken as

10+25/60 = 10+5/12 =(120+5)/12 = 125/12

Thats all.

Kiran said: (Tue, Aug 24, 2010 06:13:03 AM)    
 
What is reflex angle?

Sharath said: (Fri, Aug 27, 2010 09:34:05 AM)    
 
The angle between 180 and 360 degrees is reflex angle.

Praveen said: (Sun, Aug 29, 2010 01:42:50 AM)    
 
Hi Srikanth, i'm sorry but the concept of reflex angle is not cleared.

Venkat said: (Sat, Sep 4, 2010 02:58:55 AM)    
 
Can you tell me defination of reflex angle.

Anuradha said: (Fri, Sep 10, 2010 01:14:21 PM)    
 
I know what is reflex angle but please tell me how they calculated it? why have they subtracted 150 from 312 and half degree and the obtained no. from 360 degree. Please explain.

Aashwin said: (Sat, Sep 18, 2010 01:05:44 PM)    
 
@Shreekanth absolute genius man! You have helped me to present my presentation in class tomorrow. Its brilliant. Keep it up man.

Venu.Lekkala said: (Thu, Sep 30, 2010 11:50:55 AM)    
 
Here we consider 10.25 hrs not in min

10.25 min then 10 hrs + (25 min/60)

= 10 + (5/12)

= (120+5)/12

= 125/12.

Nitesh Nandwana said: (Tue, Oct 12, 2010 07:59:40 AM)    
 
@ Sharath and all members

Don't miss guide , if you've not knowledge about anything.

An angle greater than 180 degrees (but less than 360).

Nitesh Nandwana said: (Tue, Oct 12, 2010 12:04:44 PM)    
 
@Hi Anuradha,

Have you got how to calculate reflex angle ?

Aravind said: (Thu, Oct 14, 2010 07:52:40 AM)    
 
Hi, a single formulae is used to caculate ange between two needles in the clock.... anybody know it? Please help me.

Haimanti said: (Wed, Oct 27, 2010 04:09:30 AM)    
 
Can you please clear if this is correct calculatioon for 10 hr 25 min i.e.:

(10*60 + 25)/60??

Arijit said: (Tue, Nov 9, 2010 03:09:28 AM)    
 
The formula to calculate the angle between the 2 hands is
(30 H - 11/2M)
Where H - the hour reading
M - the min reading

Chandra said: (Mon, Nov 15, 2010 12:50:48 AM)    
 
Why we have to find out 150 degree?

Vinothini said: (Mon, Dec 20, 2010 06:38:49 AM)    
 
Hi haimanti i think so ur guess is correct bcoz,10 is hour so to make it minute *60
ie)10*60=600+25
=625/60
=125/12

Aishwarya said: (Fri, Dec 24, 2010 08:40:56 AM)    
 
Hi I'm aishu I can't understand this quest completely please explain me.

Guru said: (Mon, Dec 27, 2010 01:07:41 AM)    
 
Hi arjith your formula is wrong I think.

Tanu said: (Thu, Jan 6, 2011 01:11:10 AM)    
 
@Guru Hi Arjit formula is correct.

Ravi said: (Mon, Jan 10, 2011 03:51:12 PM)    
 
@Haimanti

Yes. You can solve like that. But why not go for more faster step. 10+25/60. It will ease your calculation.

Karthik said: (Mon, Jan 17, 2011 10:38:00 AM)    
 
This is simple way to find angle between the hands in a clock.

|30h- (11/2) m| where "h"indiacates hours and m indicates minutes.

Lipu said: (Fri, Feb 4, 2011 04:54:22 AM)    
 
Please let me know why "Angle traced by hour hand" is calculated for 125 /12 hrs

Anu said: (Sun, Feb 13, 2011 01:03:44 AM)    
 
Why "Angle traced by hour hand" is calculated for 125 /12 hrs ?

Pallavi said: (Wed, Feb 23, 2011 01:53:33 AM)    
 
In this type of question you solve easily with the help of saw hand watch.

Jagadeesh said: (Wed, Feb 23, 2011 04:29:06 AM)    
 
Actually they are 12 hours and we are caluculating 10.25.

So we will be taking directly asa 10+25/12. Because in a clock they will be only 12 hours and in the next step we are calculating for 25 min ie 25/60.

Charan said: (Wed, Mar 2, 2011 11:35:28 AM)    
 
As venu said 10.25 can be simplified easily 10 in hrs and 25 in min so, totally in hrs it is 10+(25/60)=125/12.

Firstly 10.25 indicates the time which is exactly 10 but 25 min fast.

We have to subtract the angle subscribed by min hand.

Lastly reflex angle is the angle >180 and the remainin angle subtended by t, other than the acute angle.

Tarun said: (Fri, Mar 11, 2011 03:28:02 AM)    
 
What is reflex angle?

Akhilrajpandey said: (Fri, Mar 18, 2011 04:15:25 AM)    
 
Calculation

(10*60)+25/60

where 10 is hour converted into min and add 25 min which is equal to
125/12

Vikas said: (Wed, Apr 13, 2011 04:41:27 AM)    
 
Please let me know why "Angle traced by hour hand" is calculated for 125 /12 hrs

Gaurav said: (Thu, Apr 14, 2011 06:42:22 AM)    
 
10:25= 10+25/60=10+5/12=125/12

Sharad said: (Wed, Apr 27, 2011 12:32:31 PM)    
 
Guys. From above example. reflex angle formula it should be like this

Reflex Angle = 360(degree) - ( hour hand[it shd be in degree] - minute hand[it should be in degree] )

Priya said: (Sat, May 14, 2011 11:55:18 AM)    
 
Calculation for 125/12 are correct ...as sharad said the formula must be reflex angle= 360(deg)- [ang traced by hour hand(deg)- ang traced by min hand(deg)]........ since we consider evreything based on 12 o'clock ..and so subtract 2 hrs from it(10 o'clock) ..also subtract 25 mins in reverse (25 min)....see a clock for reference.... think logically may be...thanks friends for your discussion...

Deena said: (Fri, May 20, 2011 11:14:54 AM)    
 
Hi. Arijit please one example find out your formula please.

Rayudu said: (Wed, Jun 1, 2011 02:42:51 AM)    
 
Reflex angle means ?

Sumit said: (Wed, Jun 8, 2011 05:45:46 AM)    
 
Reflex angle means angle is greater than 180 and less than 360. for example angle 190,210,310 etc are as reflex angles.

Sandy said: (Sat, Jul 2, 2011 11:45:16 AM)    
 
From the above example, we have already got the answr for 10.25 in hour hand, then why we agin find the deg for minute hand that too only for 25 min not 10 hours? please clear my doubt.

Sathish said: (Thu, Aug 4, 2011 01:58:43 PM)    
 
Thank you sundar.

Aparna said: (Thu, Aug 4, 2011 06:09:46 PM)    
 
Thanks a lot Venu. Lekkala and Sumit.

Umesh said: (Mon, Aug 8, 2011 02:44:58 PM)    
 
Angle traced out by hour hand in 1 hour = 360/12 = 30 deg.
Angle traced out in 10 hours = 300 deg.
angle traced out in (25/60) hrs. = 30 *5/12= 25/2
total angle = 300 + 12.5 =312.5 deg

Avinash said: (Tue, Aug 9, 2011 10:06:06 PM)    
 
@Umesh

Your answer is quite good man! Thank you.

Deepa said: (Wed, Aug 17, 2011 10:42:33 AM)    
 
@umesh

Why did you multiply 30 to 5/12?

Gobi said: (Sun, Aug 21, 2011 01:32:24 PM)    
 
@Deepa

Because 30 degree is to mention for one hour so the angle traced out in (1 hr= 30 degrees) * (25 min ie., 25/60 hrs) = 25/2.

Gopal said: (Thu, Aug 25, 2011 06:40:04 AM)    
 
Thank you Venu. Lekkala.

B.Vamsi Srinivas said: (Thu, Aug 25, 2011 01:33:29 PM)    
 
Have a look at my solution once...

Time 10:25

Reflex Time...
11:60
-10:25
~~~~~~~
1:35

formulae to find angle

Angle = 11*(m)
---- - 30(h)
2
m = minutes
h = hours

so
now

11*35
= ----- - 30* 1
2


385 - 60
= --------
2

325
=---
2

1
=167 ---
2

Correct me if I'm wrong.

Nandhini said: (Fri, Aug 26, 2011 09:57:27 PM)    
 
This is the formula to calculate the angle.

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

Mayur said: (Mon, Aug 29, 2011 05:28:59 PM)    
 
Simple solution.

At 10 o'clock angle between them = 300

for 25min displacement between them = 25*5.5 = 137.5

so, angle between them = 300-137.5 = 162.5

for reflex angle = 300-162.5 = 197.5

Ravi said: (Sun, Sep 4, 2011 11:10:19 AM)    
 
Angle traced in 1 hour=360/12=30 angle
Angle traced in 10 hours=30*10=300 angle
Angle traced in 25min=25/60hour=30*25/60 angle=25/2=12.5 angle=12(1/2)

total Angle traced in 10hour25min=300+12.5 angle =312(1/2)


Angle traced by minute hand in 25 min =(360/60)*25=150 angle
hence 312(1/2)-150=197.5=197(1/2)

Jitendra Chauhan said: (Thu, Sep 15, 2011 10:02:22 AM)    
 
It is very easy. We can solve it like

10.25 hr=10hr+25 min
=(10+25/60)hr
=10+5/12
=(120+5)/12
=125/12 hr

Wasim said: (Thu, Sep 15, 2011 12:37:36 PM)    
 
Reflex angle is defined as the angle obtained when the angle between hour and minute hand is subtracted from 360 degree.

Gouthamprasanna said: (Tue, Sep 20, 2011 06:23:13 PM)    
 
To calculate the reflex angle formula is

= 360-(30*H-11/2*M)

Where His hours hand and M is minute hand.

Jyothipriya said: (Tue, Oct 4, 2011 01:48:03 PM)    
 
Please explain the concept clearly how to find the exact reflex angle.

Balaji said: (Mon, Oct 17, 2011 11:30:54 AM)    
 
Prassaa is correct. First use the formula 30h-(11/2)m. if the answer comes 180 below. I think all of you got the answer is 137.5

Then simply subtract it from 360. Then we get the 197.5 like that.

Otherwise I mean if the answer comes 180+ then that is the answer no need subtract it from 360.

Vasuroshan said: (Mon, Oct 17, 2011 09:38:34 PM)    
 
Nice expalnation guys. I have a known formula.

30H-(11/2)M where H----Hours
M----Minutes

So, sub.. 30(10)-(11/2)(25)

(600-275)/2=162.5

If the angle is <180 sub from 360 viceversa...

360-162.5=197.5

I Hope You guys can understand.

Bhavana said: (Sat, Nov 26, 2011 06:39:00 PM)    
 
I cannot understand how to calculate 125/12

Durga said: (Tue, Nov 29, 2011 06:37:33 PM)    
 
Here we have given 10.25
=>the hour hand will rotate 10 hrs and 25 minute

But we know that 60minute =1hr
so 1min=1/60hrs
25 min=25/60=5/12 hrs.........................................(1)

the hour hand covered 10 hrs and 25 minute
So total hour covered=
10+5/12 hrs {from equation 1}
=(120+5)/12
=125/12

Madhu said: (Fri, Dec 9, 2011 10:13:33 PM)    
 
Even I wanted to know why hte reflex angle is calculated as 125/12.

Sisi said: (Mon, Dec 12, 2011 12:33:56 PM)    
 
Vasuroshan explasnation is good but I have a doubt if the angle is lessthan 180 then sub it from 360 ok. But if the angle is graterthan 180 then what is the solution. Please tel me.

Alex said: (Tue, Dec 13, 2011 10:14:54 PM)    
 
30H-(11/2)M where H----Hours
M----Minutes..

How do you use this formula to calculate the angle when the clock is showing 3:25?

Jahir said: (Fri, Dec 30, 2011 12:30:53 AM)    
 
The below angles are defined

Acute angle Less than 90°
Right angle Exactly 90°
Obtuse angle Between 90° and 180°

Straight angle Exactly 180°
Reflex angle Between 180° and 360°
Full angle Exactly 360°

Sowmia said: (Thu, Jan 12, 2012 09:20:29 PM)    
 
Vasuroshan answer is very simple and well undestandable but please tel me one thing if the angle is graterthan 180 then what we should do?

Varun said: (Wed, Jan 18, 2012 11:54:09 AM)    
 
Minute hand speed= 6degree/min
thus in 25 minute= 6*25= 150 degree
hour hand speed = 1/2 degree/min
thus in 25 minute= 1/2 * 25= 12.5 degree
thus angle between these two hands= 150+12.5= 162.5 degree
thus reflex anlge= 360-162.5= 197.5 degree

Indu said: (Sun, Jan 22, 2012 10:05:02 PM)    
 
In reflex formula how you get 11/2? Please tell me.

Angu said: (Mon, Jan 23, 2012 08:48:46 AM)    
 
@ Shreekanth. Thank you.

Tejkishor said: (Thu, Jan 26, 2012 03:07:24 AM)    
 
Reflex angle means angle more than 180 but less than 360 . So, we should calculate larger angle not smaller angle betwn the hands . We can choose the angle between the hands in two ways one more than 180 and other less than 180(obtuse) .

10.25 hr =10hr + 25min = 10hr + 25/60hr = 125/12 hr

So, the angle movie by hr hand from 0 hr point(12 in our watch) is

360/12 * 125/12 = 312.5

Angle move my minute hand from 0 hr point is 360/60 * 25 = 150

So the smaller angle(obtuse) between the hands is 312.5 - 150 = 162.5

So the larger i.e. reflex angle = 360-162.5 = 197.5

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