16. at what time the angle between the two hands will be 300 between 3 o clock and 4 o clock.

Discussion :: Clock - General Questions (Q.No.2)

Clock - Important Formulas
«« Clock - General Questions

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

[A].	180°
[B].
[C].	195°
[D].

Answer: Option D

Explanation:

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

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

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

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

Pallavi said: (Jul 13, 2010)
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: (Jul 26, 2010)
How did you get 125/12?

Sundar said: (Jul 26, 2010)
Hi Ramya and Pallavi, We can write 10.25 (10 hrs 25 mins) as 125/12 hrs. Have a nice day.!

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

Ankit said: (Jul 30, 2010)
How to calculate reflex angle?

Bret said: (Aug 9, 2010)
@manoj how 10.5/12

Shalini said: (Aug 17, 2010)
Why multiplied by 12 and not 60?

Shreekanth said: (Aug 19, 2010)
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: (Aug 24, 2010)
What is reflex angle?

Sharath said: (Aug 27, 2010)
The angle between 180 and 360 degrees is reflex angle.

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

Venkat said: (Sep 4, 2010)
Can you tell me defination of reflex angle.

Anuradha said: (Sep 10, 2010)
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: (Sep 18, 2010)
@Shreekanth absolute genius man! You have helped me to present my presentation in class tomorrow. Its brilliant. Keep it up man.

Venu.lekkala said: (Sep 30, 2010)
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: (Oct 12, 2010)
@ 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: (Oct 12, 2010)
@Hi Anuradha, Have you got how to calculate reflex angle ?

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

Haimanti said: (Oct 27, 2010)
Can you please clear if this is correct calculatioon for 10 hr 25 min i.e.: (10*60 + 25)/60??

Arijit said: (Nov 9, 2010)
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: (Nov 15, 2010)
Why we have to find out 150 degree?

Vinothini said: (Dec 20, 2010)
Hi haimanti i think so ur guess is correct bcoz,10 is hour so to make it minute 60 ie)1060=600+25 =625/60 =125/12

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

Guru said: (Dec 27, 2010)
Hi arjith your formula is wrong I think.

Tanu said: (Jan 6, 2011)
@Guru Hi Arjit formula is correct.

Ravi said: (Jan 10, 2011)
@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: (Jan 17, 2011)
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: (Feb 4, 2011)
Please let me know why "Angle traced by hour hand" is calculated for 125 /12 hrs

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

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

Jagadeesh said: (Feb 23, 2011)
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: (Mar 2, 2011)
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: (Mar 11, 2011)
What is reflex angle?

Akhilrajpandey said: (Mar 18, 2011)
Calculation (10*60)+25/60 where 10 is hour converted into min and add 25 min which is equal to 125/12

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

Gaurav said: (Apr 14, 2011)
10:25= 10+25/60=10+5/12=125/12

Sharad said: (Apr 27, 2011)
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: (May 14, 2011)
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: (May 20, 2011)
Hi. Arijit please one example find out your formula please.

Rayudu said: (Jun 1, 2011)
Reflex angle means ?

Sumit said: (Jun 8, 2011)
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: (Jul 2, 2011)
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: (Aug 4, 2011)
Thank you sundar.

Aparna said: (Aug 4, 2011)
Thanks a lot Venu. Lekkala and Sumit.

Umesh said: (Aug 8, 2011)
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: (Aug 9, 2011)
@Umesh Your answer is quite good man! Thank you.

Deepa said: (Aug 17, 2011)
@umesh Why did you multiply 30 to 5/12?

Gobi said: (Aug 21, 2011)
@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: (Aug 25, 2011)
Thank you Venu. Lekkala.

B.Vamsi Srinivas said: (Aug 25, 2011)
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 1135 = ----- - 30* 1 2 385 - 60 = -------- 2 325 =--- 2 1 =167 --- 2 Correct me if I'm wrong.

Nandhini said: (Aug 26, 2011)
This is the formula to calculate the angle. Angle = min(11/2)-30hour.

Mayur said: (Aug 29, 2011)
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: (Sep 4, 2011)
Angle traced in 1 hour=360/12=30 angle Angle traced in 10 hours=3010=300 angle Angle traced in 25min=25/60hour=3025/60 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: (Sep 15, 2011)

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: (Sep 15, 2011)
Reflex angle is defined as the angle obtained when the angle between hour and minute hand is subtracted from 360 degree.

Gouthamprasanna said: (Sep 20, 2011)
To calculate the reflex angle formula is = 360-(30H-11/2M) Where His hours hand and M is minute hand.

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

Balaji said: (Oct 17, 2011)
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: (Oct 17, 2011)
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: (Nov 26, 2011)
I cannot understand how to calculate 125/12

Durga said: (Nov 29, 2011)
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: (Dec 9, 2011)
Even I wanted to know why hte reflex angle is calculated as 125/12.

Sisi said: (Dec 12, 2011)
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: (Dec 13, 2011)
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: (Dec 30, 2011)
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: (Jan 12, 2012)
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: (Jan 18, 2012)
Minute hand speed= 6degree/min thus in 25 minute= 625= 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: (Jan 22, 2012)
In reflex formula how you get 11/2? Please tell me.

Angu said: (Jan 23, 2012)
@ Shreekanth. Thank you.

Tejkishor said: (Jan 26, 2012)

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

Sireesha said: (Feb 15, 2012)
Hai guys u can solve any problem regarding clocks easily by using formula angle=(11/2)m-30h Simply substitute minutes in place of 'm' and hours in place of 'h'.

Prasad said: (Mar 10, 2012)
Minute hand moves 6 degree in a minute Hour hand moves 1/2 degree in a minute At 10:25, the minute hand is at 5 and hour hand is at 10 the difference between them is 35minute space there degree is 356 = 210, but hour hand is not exactly at 10 because it has moved to the extent of 25 minutes. so it has moved to the degree of 251/2 = 12.5 reflex degree of 10:25 = 210 - 12.5 = 197.5

Prashanth Varma said: (Apr 7, 2012)
I didn't get simplified formula to understand this problem so please help me by simple method.

Ashwin Kashyap said: (Apr 14, 2012)
Hi IndiaBix Users, It is a Cool Question;Just we have to apply the concept exactly to the analysis in this problem. Thank You for all those who helped the solvers. We usually measure angles in anti-clockwise direction. So,the angle which is the major part in the rotation is measured as reflex angle,and mostly it is between 180 and 360 degrees.

Akhter said: (Jun 25, 2012)
10.25=10hrs 15 minutes bcoz it is in decimal, we have to convert it into hrs and minutes

Anuj Shukla said: (Jun 25, 2012)
Hi guys.. 10.25 it can be written as in hrs. (10+25/60)=(10+5/12)=(125/12). Why we written .25 as 25/60 bcoz 10 is already in hrs.to change .25 min into hrs? we divided by 60.

Vamsi Singanapudi said: (Jun 26, 2012)
In a clear manner to explain about 125/12 is for 10 the angle is 1030 = 300. That is hours hand cover 30 degrees in one hour duration. In the same way within 25 minutes it cover ((30/12) 5 = 12.5). So that the angle is 312.5 degrees.

Mohan said: (Aug 18, 2012)
Short cut: use this formula... angel=(11/2)min-30hr........(1) here hr=10 min=20 ref_angle=360 from (1) angel=162.5 360-162.5=197.5....am i right....

Zain Ali said: (Sep 8, 2012)
Hour hand is at 10.25 and min hand is at 5. Forget about min hand. Take 10.25 o clock as a refrence point and move hour hand towards 5 o clock.Here 5 is final point suppose.So hour hand will travel a total of 6.35 hours.In each hour angle formed if 30.So 6.35*30 = 190'30". MY answer is wrong but i dont think that i have made mistakes. PLEASE DO TELL ME WHAT I AM DOING WRONG........

Yasin said: (Sep 9, 2012)
@B.Vamsi Srinivas final result you have to subtract from 360degree's now i mean yoy got finally 162 1\2 360-162 1\2=197 1\2 this is simple processes.

Hell Rider said: (Oct 18, 2012)

I don't know people are so confused over these small problem let me make you all clear. Hear we know 60 min = 360 degree. & 12 hrs =360 degree. When time is 10.25 it means hour hand is slight ahead 10 not exactly at 10 so 10.25 = 125/12 as said earlier so calculating angle using hour relation by unitary method its getting 312.5.

Now calculate the angle made by minute hand i.e 25 minutes it makes (360=60) *25=150 draw a clock and see the angle made by hour that is 312. 5 degree from 12 o clock and similarly see the angle made by minute hand its 150 degree from 12 0 clock here if reflex angle is asked so which is angle made by them in anticlockwise direction. Since clock rotates in clock wise direction. If you are not getting reflex angle just remember as anticlockwise concept. Hope you get it my friend.

Bharat Jee said: (Nov 3, 2012)
Hey friends, Reflex angle simply means opposite angle, for solving this problem first of all we have to find out the angle made between 10:25. After than this angle is subtracted in 360. Angle made b/w 10:25 == (360/12 x 10 + 25 x 1/2) - 25x6 = 325/2 Than reflexive angle == (360 - 325/2) = 395/2 = 197,1/2 So, Ans(D).

Bikash said: (Nov 25, 2012)
Hey guys. Reflex angle is nothing but the exterior angle.i.e. you got to subtract your angle with 360. Here: Using the formula : 30h-11/2m 3010-11/225=162.5. Reflex angle = 360-162.5 = 197.5.

Thangarajesh said: (Nov 25, 2012)
Angle between 2 hands = 30 hours - 11/2 minutes = 30 (10)- 11/2 (25) =162.5 degree Reflex angel = 360 - angle between 2 hands = 197.5

Nikhila said: (Nov 28, 2012)
It can even be solved like this: HOUR HAND: For 1 hour, i.e., 60min angle covered by hour hand =360/12=30deg For 25 min= (3025/60) (cross multiply)= 12.5 deg. Minute hand: It goes from 10 and stops at 5 for 10.25 Therefore angle covered=(3607/12)=210 Now subtact angle moved by minute hand from hour hand 210-12.5= 197.5 deg.

Akshay said: (Nov 28, 2012)
If have to calculate angle at time hh:mm Use formala as Angle=\|30(hh)-11/2(mm)\| To calculate calculate reflex angle use Reflex Angle= 360-\|30(hh)-11/2(mm)\|

M Satheesh said: (Dec 26, 2012)
Short hand or hour hand = 360/12 = 30 Long hand or minute hand= 360/60 = 6 When 10.25 is the short hand in the clock then 10x30=300 and 25x30/60=12.5 Adding this 300+12.5=312.5 When 25 minute long hand is 25x6=150 =360-[312.5-150]=197.5.

Reshma John said: (May 3, 2013)
THERE IS A READY MADE FORMULA FOR THIS KIND OF PROBLEM: 1/2(60H-11M). WHERE , H = HOUR M = MINUTE. Eg:10.30 can be written as 1/2(6010-1130). As per problem. 1/2(6010-1125) = 1/2(600-375) = 1/2(325) = 162.5. In question it is asked reflex angle so, = 360 - 162.5. = 197.5.

Vani said: (May 28, 2013)
How is the angle traced by hours hand is 125/12.

Vikrant Shukla said: (Jun 29, 2013)
10:25 converted min. and div. 60 that is ((10*60)25)/60 = 125/12.

IRSHAD said: (Jul 13, 2013)
@Vani here 10.25 means 10 + (25/60). i.e. 10 + (5/12). i.e. 125/12.

Raambharath said: (Jul 22, 2013)
Finding the angle= (11/2) M - (30) H. M is the minutes. H is the hours. 10:25. (11/2) 25 - 30*10.

Thejas said: (Aug 14, 2013)
\|30h-(11/2)m\| ----> Formula to find angle between 2 hands. \|30*10-(11/2)25\| \|300-275/2\| \|(600-275)/2\| \|325/2\| 162.5 degrees. Reflex angle is 360 - 162.5 = 197.5.

Karthik said: (Aug 24, 2013)
Follow this: Min hand 1 min movement swipes 6 deg. Min hand 1 min movement = hour hand 0.5 deg.

P.C. RAJASEKAR said: (Sep 10, 2013)
Hey thanks for everyone who gav the answer and who raised the questions. From you all I understood how to calculate angle between 2 hands and to calculate reflex angle. Angle between 2 hands = 30(h) - (11/2)*m. Reflex angle = 360 - angle between 2 hands. (if angle between 2 hands is < 180). Thanks to everyone.

Vyshnavi said: (Sep 15, 2013)
How to calculate reflex angle?

Jithin said: (Sep 18, 2013)
The equation for calculating the angle b/w the hands was given as (11/2)m-30h. For eg: We clearly know that in case of 9.00 am/pm, that the angle is 90 degree, using this formula I got as 60 degree is it correct? please explain me with example.

Jasna said: (Sep 18, 2013)
The equation to find the angle between the hands is (11/2)*m-30h. Where m:minutes. h:hour reading. Please explain the thing that in case of 3'oclock, that is 3.00. The angle b/w hands are 90 degree, with the given equation it is got as 120 degree. How is it possible?. please explain how to use the equation properly, and where to use.

Mani said: (Oct 8, 2013)
@Jasna. 3'o clock means 3.00. So, Hours - 3. Minutes - 0. Correct formula is 30h - 11/2m. So, 303-11/20 = 90°.

Jigar said: (Oct 16, 2013)
How is the angle traced by hours hand is 125/12?

Mahendra said: (Oct 28, 2013)
But 309-11/20 = 270 why please explain the angle between hands at 9.00 am.

Psm said: (Nov 20, 2013)
Correct formula is 30h - 11/2m. So this mean at 0 hours and 1 minute you get an angle of: 300 - 11 / 21 = -5.5 ? How come the minute arrow moves almost 6 degrees then?

Naresh said: (Dec 13, 2013)
We can easily solve this sum. The hour hand covers 1/2 Degree per minute means for 25 minutes 25/2= 12/2 means 30-12 1/2= 17 1/2 Degrees. 1 Hour hand 6 hours = 180 degrees. 180 + 17.5 = 197.5.

Sarah said: (Dec 18, 2013)

The formula is 6m-(30h+m/2) m=minutes h=hour. For example 11:26. 6(26)-(30(11)+(26)/2). 156-(330+13). 156-343. -187.

If you get a result that is negative, all it means is that the hour hand is ahead of the minute hand, simply multiply the answer by -1 and then subtract that from 360.

Bharath said: (Dec 20, 2013)
Reflex angle = 360-(angle between). Angle between = (30hour)-((11minute)/2). = (3010)-((1125)/2). = (300-137(1/2)). = 162 (1/2). Reflex angle = 360-(162 (1/2)). = 197 (1/2).

Naresh said: (Dec 26, 2013)

Reflex angle = 360-(angle between hours hand and minute hand). /*10.25 it can be written as in hrs.*/ Total hours = (10+25/60) = (10+5/12) = (125/12). Angle traced by hours hand = (125/12)*(360/12) = 312(1/2). Angle traced by minutes hand = 25*(360/60) = 150. Angle between 2 hands = 312(1/2)-150 = 162(1/2). /*The angle formed by a both hands and a perpendicular to the surface at the point of reflection. Here the surface is circular so ref angle is 360. */ Reflection angle = 360-(Angle between 2 hands). = 360-162(1/2).

= 197(1/2).

Harshit Dahiya said: (Dec 27, 2013)
Please not that 10.25 cannot be taken as 25 minutes past 10. Rather, it should be 15 mins past 10. Its basic maths.

Raghavendra said: (Apr 29, 2014)
This table show the movement angle of each hand in each time in a clock. TIME Hour Min Sec 1 hour 30° 360° 21600° 1 Minute 0.5° 6° 360° 1 Second 1/120° 0.1° 6°

Chetan said: (May 28, 2014)
Take simple solution, After every 12 minutes, Hour clock will move 1 step. =25 minutes = almost 2 steps moved hour sign from 10 to 10.02. Now difference between hour & minute clock is 25+8=33 step 1 step = 6 degree than 33 x 6 = 198, answer option near to 198 is given 197 1/2 which is correct.

SWAPNIL said: (Jul 12, 2014)
We can do this question very simply by using following formula.. 360-(30H- 11/2M ). Where H = 10 and M= 25.. easy na ?

Karthik said: (Aug 6, 2014)
We can use this formula too, Reflex angle = 360-theta. Theta = 1/2(60h-11m).

Akshay Uppal said: (Aug 24, 2014)
We have formula also angle = \|(11/2)min-(30hour)\|.

Sindhu said: (Sep 11, 2014)
But, @Karthik, using the formula that you have mentioned, I got wrong answer.

Mammu & Shravs said: (Oct 13, 2014)
Formula for cal angle = 11/2mins-30hrs. Therefore 11/225-3010 = 137.5-300 = 163.5. Reflex angle = 360-163.5 = 197.5 answer.

Ajay Kumar said: (Oct 25, 2014)
The formula is wrong. The correct formula is: The angle between the hands of the clock = (60xH - 11xM)/2.

Harshit Dhiman said: (Nov 12, 2014)
But in the above question, according to formula (60Xh-11Xm)/2. (60X10-11X25)/2. (600-275)/2. 375/2. = 162.5. Reflex angle = 360-162.5 = 197.5.

Username Or Email said: (Nov 22, 2014)
So, simple when the question asks between 1-11. Take a formula as 11:60 - Time. 11:60 - 10:25 = 1:35 is the answer.

Siddhartha said: (Dec 9, 2014)

10:25 = 10 hrs + 25 min. Therefore, total angle between them. [angle at 10 hrs (=60 deg) + angle during 25 min movement (=150(min needle)-12.5(hrs needle) = 137.5 deg)] = 60 + 137.5 = 197.5 or 197(1/2) degree. Refer explanation below: At 10 hrs, angle between them = 60 degree. During 25 min movement both needle will move. At 25 min minute needle will make an angle = 25 x 30 = 150 degree. Simultaneously, hrs needle also will move an angle = 12.5 degree. (as hrs needle make 360 degree in 12 hrs or 720 min. Therefore, in 25 min, angle = 25x360/720 = 12.5 degree.).

There is no easy way to understand in spite of this explanation.

Gupta said: (Jan 23, 2015)
I want clear definition of reflex angle and formula.

Divya said: (Jan 29, 2015)
What's the formula to calculate reflex angle if it is greater than 180 degrees? Anyone who know please tell me.

Soundarya said: (Feb 12, 2015)
Reflex angle is nothing but an angle greater than 180 degrees.

Ajay said: (Feb 16, 2015)
Equation for the angle of the hour hand, (Hour Angle) = (60H+M)/2. Where, H= Hour. M is the minutes past the hour. And, Equation for the angle of the minute hand, (minute Angle) = 6M. For Example: 10.25. (Hour Angle) = (6010+25)/2 = 312.5. (Minute Angle) = 625 = 150. Reflex angle = 360-(312.5-150) = 197.5.

Sweta said: (Feb 16, 2015)
Hi everyone, Please help me to solve clock problems because I am unable to understand the concept.

Murugesh said: (Mar 30, 2015)
What is flexible angle?

Kasinath@Hyd said: (Apr 17, 2015)
So simple, to find degrees for a value > 180 or > 6'o clock. Formula is 1/2 (60hrs-11min). = 1/2(6010-1125) ==> 1/2(600-275). ==>162.5. Since reflex angle i.e., 360 deg. Therefore 360-162.5 ==> 197.5.

Alok said: (Jun 7, 2015)
I think 125/12 is wrong. 10.25 hrs = 10h+0.25 hrs = (1060+0.2560) mins = 615 mins = 615/60 mins = 123/12 hrs.

Harindra said: (Jun 13, 2015)
10.25 = 10+25/60 = 10+5/12 = (120+5)/12 = 125/12. So 125/12360/12 = 312 (1/2). And now long hand in 25 minute = 625 = 150. Reflex angle = 360-(321(1/2)-150) = 197(1/2).

Abhinit Aand said: (Jun 28, 2015)
This one is for those who have chosen formula to solve these sort of problems. Use formula to find angle between clock hands at 1:50? particularly to @Kasinath@Hyd.

M Rajeswari said: (Jul 9, 2015)
Hi everyone, It is simple question The reflex angle b/w the hands of a clock at 10.25. Then formula is 11/2M-30H. So, we can substitute in this, 11/2(25)-30(10). =>162.5. Then, the angle 360-162.5. =>197.5. That's it.

Ravi said: (Jul 27, 2015)
Here they had given time is 10:25. Angle = (11/2(minutes)-30(hours)). Angle = (11/2(25)-30(10)). Angle = (137.5-300). Angle = 162.5. Ref angle = 360-162.5 = 197.5.

Navnath Dombale said: (Jul 27, 2015)
How to calculate angle? Simple solution. Take an example. We know when hrs &min hands on 12.00 after that min hand covers 60 min then hrs hand on 1:00. So in 60 min hrs hand cover 30 degree. So 60 m = 30° so 1 m = 0.5 °

Navnath Dombale said: (Jul 27, 2015)

Please read. Its important I'm Navnath Dombale. Simply 10:25 means angle covered in 25 m = 12.5° (after 60 m = 30°. For example if both hands started 12:00 then after 60 m hrs hands reaches at 1:00. So in 60 m = 30°. So 1 m = 0.5°. 25 m means min it hand on 5. So difference in angle is (5-6-7-8-9-10 = 5 hrs angle = 150°+12.5° = 162.5°. Reflect angle = 360°-162.5° = 197.5°.

Ans = 197.5°.

Vinod Kr said: (Jul 27, 2015)
306=180. 25/2=12.5. 30-12.5=17.5. 180+17.5=197.5 or 197-1/2. One more example: 3.40 or 15.40 min = ? degree angle. 304=120. 40/2=20. 30-40=10. 120+10=130. Exp 12.20 min. 30*3=90. 20/2=10. 30-10=20. 90+20=110.

Pragna said: (Aug 1, 2015)
Will you explain me in a simple way?

Pragna said: (Aug 1, 2015)
Is there any alternate method to solve this problem?

Malli Reddy said: (Aug 27, 2015)
In general the reflex angle b/n hours hand at 10 and minutes hand at 25 is 210. But movement of min hand by 25 causes hours hand to move. 12.5 degrees forward (reason:for every min min hand moves 6 degrees causing hours hand 1/2 degree if you don't know this have a clear idea about clocks). So, subtract 12.5 from 210. 210-12.5 = 197.5. That's it.

Vinod said: (Aug 29, 2015)
I don't understand this question please help me.

Naresh said: (Sep 3, 2015)
Time is 10:25. Formula = (11/2 (minutes) - 30 (hours)). (11/2 (25) - 30 (10)). = 162.5. RA is 360 - 162.5 = 197.5.

Md Asjad said: (Sep 16, 2015)
I could not understand the reflex angle.

Steven said: (Sep 18, 2015)
125 were is it coming from?

Neha said: (Oct 4, 2015)
10:25. = 10hrs 25mins. But 60mins = 1hr. Then 1min = 1/60hr. So 25mins = 25/60hrs = 5/12 (after dividing by 5). Hence= 10+5/12hrs. = (120+5)/12hrs = 125/12.

Vash said: (Oct 16, 2015)

This is the best way 10:25. First find the minutes 10 hrs x 60 min. 600 mins + 25 mins = 625 mins and then divide by 60 because I cycle is 60 mins. So 625/60 reduce so 125/12 multiply by 360 degrees over 12 hrs. 360/12(125/12) (360/12) = 45000/144 = 312.5 degrees/hr. So that's, your degrees in hour and then find degrees in 25 minutes. 25 mins x (360/60) because 360 degrees 60 mins.

9000/60 = 150 degrees. Then degrees in hour - degrees in minute. 312.5-150 = 162.5 degrees. Then 360 degrees - 162.5 degrees = 197.5. Because reflex angle are not less than 180 but not more than 360.

Vash said: (Oct 16, 2015)
Reflex angle is more than 180 but less than 360 angle between 180-360.

Rizwana Mumu said: (Nov 2, 2015)
What is the acute angle between the hands of hour & minute at 6:25?

Darwin Lamsal said: (Jan 9, 2016)
10 hrs and 25 minutes =125/12. That's all.

Ashwini said: (Jan 9, 2016)
Formula: 0.5[60H-11M]. = 0.5[6010-1125] = 162.5. If angle is greater than 180 degree than subtract from 360 degree. = 360-162.5 = 162.5.

Ashwini said: (Jan 9, 2016)
@Rizwan, Use this formula. You get answer for angle between 6.25.

Shez said: (Jan 22, 2016)
At 10 o'clock angle between them = 300. For 25 min displacement between them = 25*5.5 = 137.5. So, angle between them = 300-137.5 = 162.5. For reflex angle = 360-162.5 = 197.5. OR 30H - (11/2) M. H----Hours. M----Minutes. So, substitute 30(10) - (11/2)(25). = (300-137.5) = 162.5. If the angle is < 180 sub from 360 viceversa. = 360-162.5 = 197.5.

SAI CHAKRADHAR said: (Mar 26, 2016)
Write 10:25 as. 1025/60 = 105/12 = (1012 = 120 + 5 = 125/12). Therefore, now we should multiply with 30. (12530/12 = 625/2 = 312.5). Now 25 minutes should be multiply with 6. (25*6 = 150). And then subtract 150 from 312.5. (312.5 - 150 = 162.5). Reflex angle = (360 - 162.5 = 197.5).

Priyankasarkar said: (Apr 10, 2016)
From where did you get 125/12?

Akshay Salvi said: (Apr 25, 2016)
Hi, friends. It is very simple when we are calculating for hours hand we divide it by 60mins while for minutes, we divide it by 60.

Yugesh said: (May 6, 2016)
@Akshay Please give me the derivation of this formula Angle=\|30(hh)-11/2(mm)\|.

Fahad said: (May 21, 2016)

This is very simple method. 10.25 means hour hand is at 10 and the minute hand is at 5. So angle between them is 10 - 5 = 5hrs. Since 12hrs is 360 degree. 1hr = 30degree. So, 5 * 30 = 150degree. But when it is 25minutes. We have a small angle that has to be added ie. 25minutes = 12. 5degree. Since 1minute is 1/2degree. Therefore 150 + 12.5 = 162.5.

But they asked reflex angle so, 360degree - 162.5degree = 197.5degree.

Jeyam said: (Jul 14, 2016)

Friends its very simple. Every minute 6 degree will be the movement of the minute needle, ok. So, the movement 360 degree of the second needle is 6-degree movement of the minute needle. Ok Again every 6-degree movement of the minute needle will give rise to 0.5 degrees of hours needle, ok Calculate the distance between 25 minutes to 50 minutes , u will get 6 * 5 * 5 =150 degree Now calculate the movement of only hours needle i.e between 50 to 55 for that you have to calculate the movement of minute needle i.e 25 minutes. Now one minute's movement of minute needle rises the distance of 0.5 degrees the for 25 minutes = 25 * 0.5 = 12 1/2. We have already 150-degree distance between 25 to 50 now we will add 150 + 12 1/2 = 162 1/2. The whole clock has the distance of 360 degrees then the reflex angle is

360 - 162 1/2 = 197 1/2. It's one of the ultimate explanation.

Priyanka said: (Jul 18, 2016)
Simple calculation: angle = (60H - 11M/2). = 60 * 10 - 11 * 25/2. = -162.5. Now add it with 360. 360 + (-162.5). 197.5 -> Answer.

Rohith said: (Jul 27, 2016)

My suggestion in solving clock problems, we better to calculate in minutes. If it is in hours convert to minutes it will be easy. Hope you people understand. Movement of minutes hand in each minute = 360/60 = 6°. Movement of Hour hand in each minute 30/60 = 1/2°. 10 hour 25 minutes = 625 minutes. Therefore;. 625/2 = 312.5°. 25 * 6 = 150°. Angle between the hands of the clock when the time is 10.25. = 312.5° - 150°. = 162.5°.

Reflex angle = 360 - 162. 5 = 197.5°.

PRABIR BISWAS said: (Jul 30, 2016)

60 minute = 360°. 1 minute = 6°. In the case of hours clock; When hours clock moves one hour (30°) then at the same time minutes hand cover 360°. 360°/60= 6 that's us one minute. 30°/60= 1/2. Means in every one minute hours hand covers (1/2)°. Now solve the problem; 25 * 6 = 150° (for minute hand). 50 * 6 + 25 * (1/2) = 312(1/2) ° (for hour hand). We calculate here bigger angle so, 360° - (312.5 - 150) = 197.5°. Another shortcut way we can use for this problem. 150° for minute hand. 10 * 6 = 60°. 25 / (1/2) = 12.5°.

150° + 60° - 12.5° = 197.5°.

Suvo said: (Aug 17, 2016)
Angle moved by hours hand in 25 min. Is (25/2) degree. So angle between hour hand and 12 position is 60-25/2 degree. And angle between 12 and min hand is 150 degree. So reflex angle 60-25/2 + 150 degree.

Keerthana said: (Aug 17, 2016)
At 10.25, if the hour hand would stay at 10, the angle between hour and min hands would be 180°. But because it moves, the angle by which the hour hand would've deviated from 10 in 25 mins would be; 60 : 30 :: 25 : x (In one hour the hour hand moves by 30°) x = 12.5° So, 180 + 12.5 = 192.5°. Can somebody please tell me where I am going wrong?

Shivanand Sattikar said: (Aug 20, 2016)
Answer to this and formula to this is as simple as this (360 - (30h - (11/2) * m) ) that's all. For this question 360 - 162.5 = 197.5, as simple as that.

Nirmal Saxena said: (Aug 30, 2016)
The above problem are solved by the bellow formula. Angle between X and Y = \|(X * 30) - ((Y * 11)/2)\|. Angle between hands at 10 : 25. Step 1: X = 10, Y = 25. Step 2: 10 * 30 = 300. Step 3: (25 * 11)/2 = 137.5. Step 4: 300 - 137.5 = 162.5. Thus, angle between hands at 10:25 is 162.5 degrees. Now reflex: 360 - 162.5. 197.5 is the answer. Thankyou!

Mohana said: (Sep 1, 2016)
We can use simple formula that, Angle = 11%2 * min - (30 * hour). ie) angle = 11%2 * 25 - (30 * 10). So angle = 162.5. To find the reflex angle, angle = 360 - 162.5. = 197.5 degree.

Sumitra said: (Sep 3, 2016)
10 hr 25 min =10 * 60 min + 25 min = 625 min. 625 min = 625/60 hr = 125/12 hr.

Aniket said: (Sep 29, 2016)
Well said @Shreekanth.

Tanu said: (Oct 4, 2016)
You cleared it all, Thanks @Hell Rider.

Dhruba said: (Oct 10, 2016)
The hour hand moves 1/2 degree every minute and 30 degrees each hour so after 10.25 the hour hand moves (10 * 30) + (25 * .5) = 312.5 degree. Now the minute hand moves 6 degrees each minute so (6 * 25) = 150 degrees the reflex angle will be 360 - (312.5 - 150) = 197.5 degrees.

Sivakumar P R said: (Oct 16, 2016)

Kindly find my observation for the above question is. I. Minute hand takes 5 minute that is 300 seconds to complete a 30* space therefore in 1 sec; 1/10 degree space it covers. II. Hour hand takes 60 minute that is 3600 seconds to complete a 30 degree space therefore in 1 sec; it covers 1/120 degree space. Therefore in 25 minutes, minute hand rotates to 25x60x1/10 = 150 degree. and hour hand moves to 25x60x1/120 = 17.5 degree. ie., in 25 minutes from 10 o'clock; minute and hour hand forms an angle of 192.5 (150 + 30 +(30 - 17.5)) degree. Therefore the reflex angle will be 167.5 degrees.

Please correct me if I am wrong.

Anonomous said: (Nov 4, 2016)
The best way to do is using this formulae 11/2m - 30h.

Siri said: (Nov 15, 2016)
But By using that formulate the answer is 162.5, So the answer is not matched with the given options. So how to correct the answer?

Trilok said: (Dec 23, 2016)
General formulae is (30h-11/2m). But for reflection angle 360-(30h-11/2m).

Ahmed Naqvi said: (Dec 28, 2016)
A Reflex Angle is one which is more than 180° but less than 360°.

Anonymous said: (Dec 30, 2016)
@Hell Rider cleared it very well.

Deepak K Swami said: (Jan 17, 2017)
the maxim angle 180° not possible greater than 180°.

Chintan said: (Jan 29, 2017)
What is Reflex angle at 2:30? Please give the answer.

MOHIT KUMAR said: (Mar 7, 2017)
Solution: 12 hrs=360 degree. means 10.25 hrs = 625 mins. Total angle covered by 10.25 hrs = (625/720)360 = 312(1/2) degree //Angle from 12 to 10:25. Now angle for min hand 25 mins = (25/60)360= 150 degree. Reflex angle = 150+ remaining angle between 10:25 and 12. = 150+(360-312(1/2)). = 150+47.5. = 197.5 degree. Thank You.

Vijay Gupta said: (Mar 8, 2017)
Sir, at 2:10, what will be the angle between minute and hour hand?

Durai said: (Mar 8, 2017)
1 min = 0.5 deg, 1hrs =30 deg. becz. 12h = 720 min, clock 12h = 360 deg. Reflect angle mean measure angel more than 180 deg side. So on clock 10.25 hrs mean the clock needle lies between 10-5. So from 5 to 10 measure angle hours is 7 hr(Becz reflex angle method)=7X30 deg=210 deg. 25 min = 25X0.5 deg =12 1/2 deg. Reflex angle method Subtract hours by minutes (10hrs-25min) =210-12.5 = 197.5

Soujanya said: (Mar 22, 2017)
The correct method is; 1 hour = 30 degree, 1 min = 5.5 degree. At 10 o'clock angle between them = 3010=300 For 25min displacement between them = 255.5 = 137.5 So, angle between them = 300-137.5 = 162.5, for reflex angle = 360 (total angle is 360 degree) -162.5 (so, angle between them)= 197.5.

Hai said: (Apr 13, 2017)
Guys, 10:25 us equal to 10 hours and 25 minutes. When you convert 10 hours to minutes, it is 600 minutes, So 600+25/60. Then simplify the fraction by dividing to their GCF, which is 5. So, (625/60) / 5 = 125/12.

Imtiyaj said: (Apr 15, 2017)
11M-60H/2 = angle. Here, M=minute, H=hour.

Viraj said: (May 16, 2017)
Formula:30(M/5-H)-M/2 if the minute hand is ahead of the hour hand. 30(H-M/5)+M/2 if the hour hand is ahead of the minute hand. EXAMPLE: Angle for 4.15, H=4 M=15. Here we use the second formula because the value M/5 is less than the H. = 30(H-M/5)+M/2, = 30(4-15/5)+15/2, = 75/2, = 37.5.

Madhuri said: (May 23, 2017)
Can anyone please explain me the calculation part of (360/12 *125/12)degrees?

Charu said: (May 27, 2017)
Can anyone explain what is a reflex angle (definition)?

Pradip said: (May 28, 2017)
@Madhuri. We need to calculate total angle made by hour hand in 125/12 hours. In 12 hours, hour hand cover 360 degrees. Therefore for 1 hour = 360/12 degrees. To calculate angle cover in 125/12 hours we multiply it with 360/12. That is 360/12 * 125/12. Which is similar to 30 * 125/12 { since hour hand cover 30 degrees in one hour}.

Ramesh said: (Jun 25, 2017)

If you use the formulae the answer would be simple. Instead of confusing in theoretical way. Formulae If hrs>6, 30hrs-(11/2)*min=angle, else if hrs<6, 11/2*min-30hrs=angle, In this sum hrs=10;min=25, since hrs>6 use 1st formulae, subtitute ; 30*10 - (11/2)*25=angle, angle=162.5, sincle they have asked reflex angle, reflex angle =360-162.5=197.5(only for reflex angles). Formulae 1 & 2 are mostly used in clock problems

if they ask what is the minute and gave right angle or opposite angle, substitue the angle as 90deg or 180deg and proceed the sum.

Venu said: (Jun 26, 2017)
Hour : 1030=300degre. 250.5or1/2=15.5, +=312.5, Minute : 25*6=150, 312.5-150=162.5, 360-162.5=197.5 answer.

Suraj V said: (Jul 19, 2017)
10 * (25/60 hr) = 10 * (5/12)=(12 * 10+5)/12 = 125/12.

Fawad said: (Aug 1, 2017)
BEST ANSWER: Short hand or hour hand = 360/12 = 30, Long hand or minute hand= 360/60 = 6, When 10.25 is the short hand in the clock then 10x30=300 and 25x30/60=12.5, Adding this 300+12.5=312.5, When 25 minute long hand is 25x6=150, =360-[312.5-150]=197.5.

Panneerselvam said: (Aug 23, 2017)
Reflex angle = 360-[(11/2)m-30hr], =360-[(11/2)25-3010], =360-[137.5-300], =197.5. Note: degree between hr and min hand shortcut formula : (11/2)m-30*hr.

Vinayak Mahadev said: (Aug 29, 2017)
10.25. 10*60=600 min. 25 min 625min /60 min. = 125/12 hr.

Dony David said: (Sep 28, 2017)
Use this formula (max of the problems will be solved). Angle=30h-11/2(m) so acc to given values the time is 10:25, so h=10,m=25 on solving angle=30(10)-11/2(25) =300-11 x12.5 =300-137.5 =162.5(this is internal angle). Therefore==> reflex=360(this is total angle of clock)-162.5, =360-162.5, =197.5, ==>197 1/2 deg.

ANAND MAURYA said: (Oct 28, 2017)
Hour Hand: 10:25 1 Hour=30° 1030=300° 1 Minute=1/2° 251/2=25/2° (300+25/2)°; Minute Hand: 25 1 Minute=6° 25*6=150°; Angle b/w HH & MH = (300+25/2-150)°, Reflexive Angle = [360-(300+25/2-150)]°, Reflexive Angle = 197.5°.

Shaik Salman said: (Nov 13, 2017)
Formula:\|11/2(M)-30(H)\| here M=minutes, H=hour. Given time 10:25 substitute in above formula. \|11/2(25)-30(10)\| = 1621/2. Reflexive Angle = [360-162.5] = 197.5deg.

Mitul said: (Dec 9, 2017)
I have made a formula to calculate clock angle. (h-(m/5))*30 + m/2 (for calculating ordinary angle) 360 - (this formula for calculating reflex angle) Hope it Helps!

Mahi said: (Dec 9, 2017)
1) For 12 hrs 360 degree (for 1 hr 30 degree) for 10 hrs 300 degree & for 25 min converted in to hrs ie ( 25 min/60 min30 degree)=(25/6030)12.5 degree total-300+12.5=312.5 degree. 2) for 60 min 360 degree for 25 min 150 degree we get 1)312.5 degree & 150 degree diff 162.5 deduct rom 360 162.5 ans-197.5 deg.

Priya said: (Dec 12, 2017)
How you get 125/12?

A.Margaret said: (Dec 24, 2017)
The angle b/w 10 & 5(10:25) is 150. For 25 min,hr hand moves 12.5 degrees.the actual angle now is 150+12.5=162.5.To calculate reflex angle 360-162.5=197.5 For simple understanding,let's assume the time is now 12.we can say the angle b/w hr hand & min hand is 0 or 360(reflex angle). At 1'o clock the angle is 30 or 330(reflex).likewise at 10:25 the angle is 162.5 or 197.5.

Mugdha said: (Jan 4, 2018)
How did you get 162.5 or 197.5? @A.Margaret.

Dula said: (Jan 8, 2018)
Thanks all for the given explanation.

Saswata said: (Jan 31, 2018)

I think, it's 197.5 deg. For 1 deg min hand ---hour hand rotates by 1/12 deg. So for 10 hours, the hr hand rotates by 10*30=300 deg. Again for 25 min --- min hand rotates by ---- 25*6 = 150 deg. So for 150 deg rotation of min hand hour hand rotates by 150/12 = 12.5 deg. So total hour hand rotation is 300+12.5 = 312.5 deg. Now the angle left to rotate to complete 1 full rotation is 360-312.5 = 47,5 deg. The reflex angle will be 150+47.5 = 197.5 deg. It is asked to find a reflex angle not obtuse angle so the given answer is 100% right.

Thank You.

Kailash Chandra Patria said: (May 2, 2018)
The angle between hand at 10 hr & 25 /Min is 210, But hr hand passed 12.5° more (30* in 60 Min multiplied by 25 Min), Hence net angle 210 - 12.5 = 197.5°.

Ravi Singh said: (May 5, 2018)
Reflex angle- the angle is more than 180 and less than 360 ° is called reflex angle- The formula for this question- M=2/11(t130+-∠), ∠= angle, Form this question. 25=2/11(1030+-∠), 25*11/2=300+-∠, Mode \|275/2-300\|=∠, 162.5=∠, ∠=360-162.5, ∠=197.5.

Avinash said: (Jun 3, 2018)
We can find the angle between two hands with the help of bellow formula ( x30) - (y11)/2. Here x is 10 and y is 25. So by applying bellow formula, the angle between two hands is 162.5, Now, angle at 10 'o clock is 300, So, the reflex angle is 300- 162.5 = 197.5.

Sailakshmi said: (Jun 19, 2018)
By Using this formula 30H- 11/2 M. H denotes hour. M denotes minute. Here... 3010- 11/2*25. =300-137.5, =162.5~ angle. To get reflex angle: 360-162.5 =197.5.

Nili said: (Jun 26, 2018)
@All. At first, we convert 10 hr into min i.e; 1hr=60min. therefore,10hr=10*60=600min,and again, 10hr25min=600+25min=625min, now, we convert min into hr again as the answer is in degrees, therefore, 625/60hr=125/12hr.

Vikas Prajapati said: (Jul 28, 2018)

First of all, To calculate ANGLE between a minute and second hands, Use Formula- ((60xHour)-(11xMinutes))÷2. And then to calculate Reflex angle, Use Formula;

360° Actual Angle.

Lazy Balu said: (Jul 29, 2018)
@Guru. Actually for degree calculation \|30h-{11(mints)}/2\|=======3010-{(1125)\|/2}. 300-(275)/2. (600-275)/2. 325/2. 162.1/2. Then reflected angle = clock angle - actual angle. 360-162.5 = 197.5 this is the correct answer.

Sharmu said: (Jul 31, 2018)
Given, time= 10:25. Here, h= 10, m=25. h= hours. &. m= minutes. Formula is Angle=[ 30h-(11m/2)]. =[3010-(11(25)/2]. =[300-(275/2)]. =[(600-275)/2]. Angle =[325/2]. Reflex angle= total angle- actual angle. = 360-(325/2), = [720-325]/2, = 395/2, = 1971/2. In this, we have to use the formula ∠=[30h-(11m/2)].

Sharmu said: (Jul 31, 2018)
Where; Replex angle= clock angle (ie 360)- actual angle.

Dipankar Mondal said: (Aug 4, 2018)
360- hour * 30-minute * 11/2 = 360-1030-2511/2 = 360-162.5 = 197.5.

Abhitha said: (Aug 10, 2018)
First, we have to calculate the angle between hour and minute hand. Time given=10.25. Angle between two hand=(30H)-11/2M. =(3010)-11/225, =300-137.5, =162.5. Reflex angle = 360-162.5. =197.5 ie;197 1/2.

PRASHANT KUMAR JHA said: (Aug 24, 2018)

They asked reflex angle.ie (360-Shortest angle) = which is basically the biggest angle made by both hands Which is nothing but the clockwise angle. Now, if it's time 10:25, so the minute hand is at 5 on the clock and the hour hand is above 10 and below 11 to be precise. Slightly below the Middle of 10 and 11. So, the angle in a clockwise direction will be, from 11 to 5. It's 180° and from hour hand to 11, it's 15+2.5 ( 15 for the middle of 10 to 11, and 2.5 for slightly below part, analyze in your home clock, everything will be clear).

So, the total angle is 180+15+2.5=192.5°.

Rinky Poptani said: (Sep 4, 2018)
The angle between an hour =30°. Between 10 and 25(5) there are 7 hour. Therefore 30° * 7 = 210°. As at 10:25 the hour needle is 25 more than a perfect hour, Therefore we have to minus 25/2 by 210° (as the angle between a minute is 1/2, => 210°- 25/2, => 210° -17.5 =192.5.

Vasim said: (Sep 21, 2018)
Simply use formula: Angle = 30H - (11M) / 2 ---> (1). Reflex Angle= 360 - Angle ---> From (1).

Chikkuangel said: (Sep 21, 2018)
How to calculate the angle between 2 hands of the clock when the time is 9.00 and 12.00 noon. Please explain.

Manoj said: (Mar 7, 2019)
197.5 is the correct answer for this.

Anomie said: (Mar 25, 2019)
(11/2) * minute - 30 * hour = A (angle between hour hand and minute hand). 360- A = reflex angle.

Pasha said: (Apr 2, 2019)
Please explain this in detail.

Ravina said: (May 28, 2019)
@Umesh. Thank you. Nice explanation.

Manish said: (Jun 14, 2019)
(11/2)25 = 3010(+-)θ. 11*25-600/2 = (+-)θ. 162.5. Reflex angle = 360- 162.5. 192.5 (option D).

Salma said: (Jun 22, 2019)
Use direct formula. Which is used to find angle between the two hands at a time, h, m is; 30h - 5.5m. So here, h=10, m=25. 30010 - 5.5 25 = 162.5. 360 - 162.5 = 197.5 (option D).

Vru said: (Jun 24, 2019)
Answer is 180 degrees. In one hour, the hour hand rotates 30 degrees. In 6 hours, the hour hand rotates 180 degrees. Hence, the answer is D.

ARUL M S said: (Jun 28, 2019)
What is the angle between the hour hand and minute hand, when the clock shows 10.25?

Suvetha said: (Jul 8, 2019)
Thanks for explaining it @Shreekanth.

Ravi said: (Jul 21, 2019)
Nice, thanks for the explanation. @Salma.

Aanand said: (Sep 27, 2019)
Simply; Angle: (30hours given)-(11/2 minutes given). And here it is told to find the reflex angle so subtract 360° from the angle, we will get the answer.

Sachin said: (Jan 11, 2020)
10:25 , 1060+25=625 min. And 625/2 degree. 256 = 150 degree. ∠ = 625/2 - 150 = 325/2. The reflex angle = 360-325/2 = 395/2 = 197.5.

Sandhya Reddy said: (Jan 30, 2020)
What is a reflected angle? Please explain.

Harshini said: (Apr 6, 2020)
Thanks all for explaining this.

Atharv Pathak said: (May 19, 2020)
Angle=(60h-11m)/2. And reflex angle=360-angle.

Vasu said: (May 23, 2020)
Explain in clear @Atharv Pathak.

KOHLI said: (Jun 3, 2020)
Thanks all for explaining.

Piyush said: (Aug 7, 2020)
Thanks all for explaining.

Sanju said: (Sep 8, 2020)
Thank you all for explaining the answer.

Nisanth said: (Sep 15, 2020)
What is the need to find an hour hand and min hand? Please explain me.

Revanth said: (Sep 17, 2020)
Why to find an hour hand and a min hand? Please explain me.

Sangay Dorji said: (Oct 24, 2020)
10.25 means: 10hrs + 0.25 hrs. Therefore, it can be written as 10hrs+(25/60)hrs. Make the L.C.M as 60, then it will become ((10 * 60) + (25))/60 = 125/12 hrs.

Hemanth RAMAN' said: (Oct 27, 2020)
Thank you @Sangay.

Rahul said: (Oct 28, 2020)
Thank you all.

Prasanna Kumar said: (Nov 19, 2020)

Angle made by hour hand for every hour is 360/12 = 30. Angle made by hour hand for every minute is 30/60 = 0.5, Angle made by hour hand when the time is 10 is 300. Angle made by hour hand when the time is 10:25 is 300+(25*0.5) = 312.5, Angle made by minute hand when the time is 10:25 is 30*5 = 150, Angle between the hour hand and minute hand at 10:25 is 312.5-150 =162.5,

The reflex angle between the hour and minute hand at 10:25 is 360-162.5 = 197.5.

Sachin Kumar H S said: (Jan 18, 2021)
Guys, I have another formula applicable to find the angle between two hands of the clock, Angle. A = ((60 * hour given) - (11 * mins given))/2. Therefore from the above problem - given 10:25. A = ((6010) - (1125))/2. After solving the above equation we get Angle A=162.5 Deg. Now reflex angle = 360 - angle obtained. = 360 - 162.5. = 197.5 Deg.

Sumit said: (Feb 4, 2021)
@All. We have to give 10.25 min. It means 10 hours 25 min. We need to convert 25 min into hours. That's, why I m going for 25 divides by 60 that converts into an hour and then we calculate. Thanks, guys

Kezang said: (Feb 9, 2021)
11/2m-30 x h, 11/2x25-30 x 10, 137.5 - 300, 162.5. A reflex angle is 360 degree. So, 360 - 162.5= 197.5 degree.

Sahithis said: (Mar 13, 2021)
We can use the formula angle=30h-11/2 m ; m=minutes, h=hours. Since they asked for reflex angle subtract the result from 360. Angle = 30(10)-11/2(25)=325/2. 360-325/2 = 197.5

Meghna said: (Mar 30, 2021)
When we calculated the angle swept by hr hand we added the minutes, like 10 + (25/60). Why? Why can't it be just 10? Please anyone explain.

Prajwal said: (Jun 7, 2021)
Using formula: Reflex angle = 360 - 11 * M/2 - 30 * H.

Sandeep Reddy said: (Jun 10, 2021)
For some angle θ (theta), Original angle = θ , Reflex angle = (360 - θ).

Simit said: (Jul 30, 2021)
@All. 10.25 is actually ten hours and 15 mins (.25*60).

Vishal said: (Aug 11, 2021)

Hand at 10:25,it means; See Hour hand first, in terms of minutes=10*60+25 = 625min. Convert it into Hours,:625/60=125/12 (Divide in both by 5). Since we know angle made by Hours hand is: in 12Hours = 360degree. So in 1Hours=360/12=30degree. So in 125/12Hours=125/12 * 360/12=45000/144 = 312.5 = 312 ,1/2degree. In Minutes hand in 25Min = 25 * 6 = 150degree. Angle between Hands = 312.5 - 150 = 162.5degree. So, the Reflex angle = 360 - Angle between Hands. 360-162.5=197.5.

it means 197 1/2 is the correct Answer.

Varun said: (Aug 12, 2021)
Angle needed: 1} Hour hand to go from 10.25 to 12 i.e. (35+60) = 95min = 47.5° (speed of hour hand is 0.5° per minute) 2} Minute hand to go from 0 to 25 = 150°(speed of minute hand is 6° per minute). Ans: 47.5 + 150 = 197.5°.

Varun said: (Aug 12, 2021)
@Meghna Because in 25 minutes the hour hand would have moved ahead of 10. (At the rate of 0.5' per minute) '. It was exactly at 10 when the minute hand was at 12.

Junaid said: (Aug 18, 2021)
Hour hand is not exactly at 10:00. It has passed 10:00.

Uzzwal said: (Sep 29, 2021)
(11M-60H)/2. = (1125-60 10)/2, = (325/2) = 162.5. The reflex Angle is 360-162.5 = 197.5 degree.

Subash said: (Nov 10, 2021)

@All. I will explain it. Hour Hand Makes 30 Degree In 1 Hour(1 Hour------->30 Degree) Minute Hand Makes 6 Degree In 1 Minute(1 Minute--------> 6 Degree) So For Hour Hand; 10:25 ---------------> 10 Hour + 25/60(Because Hour Hand Covered 10+(plus) something that is 25 Minutes More Which Cause We Takes 25/60 Hour More). = 10+25/60. = 10+5/12. Total Hours Covered By Hand Hour=(120+5)/12=125/12; Now; Convert It Into Degree=(125*30)/12=625/2 Degree; ................................................................................... Now For Minute Hand. 25 Minute; Convert It Into Degree= 25*6=150; ................................................................................. Find Angle B/w Hour Hand & Minute Hand so; = 625/2-150 = (625-300)/2 = (325)/2 Degree; A/c Question We Need To Find Reflex Angle (an angle greater than 180° and less than 360°) so; Total Clock Degree=360 Degree. so, =360-325/2. =(720-325)/2. =395/2.

=197.5.

Shahid said: (Jan 19, 2022)

The 2 most confusing terms here are : 1) How did you get 125/12 and, 2) How did you calculate the reflex angle. Solution: Answer for 125/12: -> 10.25 will be the same as 10 hrs and 25 minutes. now you need to convert 10 hrs and 25 minutes into a single value of hrs. i.e 10 + 25/60 ....( since, 60 mins = 1hr and 25 mins = ? hr ) which is equal to 25/60 hr. ->now 25/60 can be written as 5/12. ->10 + 5/12 which is equal to 10.4166 or 125/12 in terms of fraction. Answer for reflex angle : -> Angle between 180° and 360° is reflex angle.

->simply, subtract your angle from 180° if it is greater than 360°.And subtract your angle from 360° if it is less than 180°.

Praveen said: (Feb 11, 2022)
Step1. find angle b/w 12 and minute hand. ( ie, 150 °) Step2. find angle b/w hour hand and 12, Step3. Add angles. * In 1 hr the hour hand moves 30 degree --> ( 60 * 30 )/60, from 10 to 12 --> 60 degree. In 25 minutes hour hand moves 25 30 / 60 degree --> 12.5 degree. Angle b/w hour hand and 12 is--> 60 - 12.5 = 47.5 degree. 47.5 + 150 = 197.5 degree.

Kalpesh said: (Jul 21, 2022)

As simple as that in 60 min(1hr) hour hand (small hand) turns 30°. Means every hour small hand turns 30° So if we calculate then imagine the hour hand and min. Hand position By that you get min hand will be on 5 and hour hand on 10 (not exact but slightly upwards) So 1st calculate the angle from 5-10 it would be 30+30+30+30+30 = 150 From 5-10 it's 150° Now the hour hand has moved slightly upwards but how much? So to find its easy from the above statement i said If 60 min =30° Then 25 min= ? Cross multiply it ; It gives 12.5. So now add 150+12.5 = 162.5. So the question was to find reflex angle which means the angle should be between 180° - 360°. So to calculate that just do substraction of angle we found between 5-10 from whole circle

360-162.5= 197.5°.

Sahithi said: (Oct 3, 2022)
1hr---> 30° Then 8hr --->240° As we know 60min --->30° than for 25 min ---> 12.5. Now, 8hr25min forms --->240+12.5=252.4, as the minute hand is at 5 then the angle of the minute hand becomes 5*30=150, Now the angle b/w the hands will become 262.5-150=102.5, But the question is about the reflex angle.so,360-102.5= 197.5.