# Aptitude - Clock - Discussion

### Discussion :: Clock - General Questions (Q.No.12)

12.

The angle between the minute hand and the hour hand of a clock when the time is 8.30, is:

 [A]. 80° [B]. 75° [C]. 60° [D]. 105°

Explanation:

 Angle traced by hour hand in 17 hrs = 360 x 17 ° = 255°. 2 12 2

 Angle traced by min. hand in 30 min. = 360 x 30 ° = 180°. 60

Required angle = (255 - 180)° = 75°.

 Prasad said: (Jun 21, 2010) 17/2 = 8.5 but 8hr 30min, so how it's came 17/2 ? Why we use this? can any one tell me please?

 Sundar said: (Jun 21, 2010) Hi @ALL We can write 8.30 as 17/2 hours. Let me explain. 17/2 = 8.5 = 8 hours + 0.5 hours = 8 hours + 1/2 hours = 8 hours + 1/2 x 60 mins (.: 1 hour = 60 mins, Therefore, 1/2 hours = 30 mins) = 8 hrs 30 min. Therefore, we can write 8-hrs 30-min as 17/2. While solving problems, make all numbers in vulgar fraction, it will be easy to solve problems quickly. For example: 360/12 x 17/2 = ? It is easy to solve. Have a nice day!

 Shekhar Bhakat said: (Aug 26, 2011) Try this formula it can solve any tipe of clock related problem. Angle b/w two handes of the clock= (11/2) *min-30*hr;.

 Ndd said: (Sep 21, 2011) 8hr+30/60=17/2.

 Marati Raju said: (Oct 3, 2011) It is . . . . Very simple by the Formula: 30H-[11/2]M at 8.30 i.e 240-165=75degrees I hope that every one understood this . . . . .

 Nagmani Sinha said: (Dec 15, 2011) We can use other formula too... 30h-6m where: H=total hours including minute parts... m=minutes in above qn it would be 30*17/2-6*30=255-180=75; Hope its easier formula.

 Suresh said: (Apr 12, 2012) Hours hand should be calculated by considering hours Hand -( 8 * 360/12)= 240 deg Minutes Hand - ( 30 * 360/60) = 180 deg Total angle b/w Hour and Min = 240 -180 = 60 deg. This is Practically as per the clock system.

 Naveen said: (May 26, 2012) Can we write 17/2 we also write this 34/4 that is also equals.

 Shoubhick said: (Sep 17, 2012) Hey guys... no need to apply any formula.. just look at any clock,each division(1/12) is 360/12=30 deg,and 1/24 division is 15 deg,so in 8:30--> 30+30+15=75 deg

 Harshita Jain said: (Jul 6, 2013) 8 hrs = 8*60 = 480 min. 8.30 = 480+30 = 510 min. 510 convert into hrs -> 510/60 = 17/2 hrs :).

 Santoshkumar said: (Sep 1, 2013) Just do this: 8.30 = 8.00 + 0.30 (Hours + Minutes). Ignore the decimal part in 0.30. Convert 30 min in hrs 30/60 = 1/2 hrs Now add 8+1/2 = 17/2 Just remember the angle traced by formulae.

 Sweety said: (Sep 12, 2013) Why (11/2) *min-30* hrs is not working in 4:40?

 Imdunb-_- said: (Sep 7, 2014) Look at the clock -_- it simply can't be 75 deg it has to be 60deg. Since 6-9 is 90deg. And can be divided in 3 intervals. i.e. 6-7 , 7-8, 8-9. So obviously u divide 90 by 3 ie. 30deg each. So when its 8:30. Hour hand on 8. Minute hand on 6. So it covers 2 intervals of 30deg. HENCE 60 degree

 Divya said: (Nov 23, 2014) Using formula is quite easy method friends.

 Gourav Kulkarni said: (Jan 20, 2015) Clock is divided into 60 equal minute division. 1 minute division = 360/60 = 6 degree. So for 8:30. Minute hand is on 6 while hr hand is in middle of 8 and 9. 6-7 = 5min = 5*6 = 30 degree. 7-8 = 30min. 8-8.5 = 15 min. Total angle = 6-7+7-8+8-8.5. = 30+30+15. = 75 degree.

 Goutham ( I Puc ) Rv Pu College said: (Oct 12, 2015) Guys to solve the angle between the hour hand and the min hand : For Ex: Let the time be 8:30 so that the hour hand is slightly far from 8 and the min hand points exactly on 6. Then the degrees between two no. S is 30 degrees (hour hand). Now, the angle between hour hand (approximately at 8) and at 6 (min hand) is 60 degrees. Now consider only the min hand (on 6). Now do k*30 (30 because the min hand is at 6 and k is a constant having a value of 0.5). Therefore it becomes 30*0.5 gives 15 degrees. Add these 15 degrees to 60 degrees which we got earlier. Therefore it become 60+15 = 75 degrees. Explanation is big but am sure I will understand.

 Sopu said: (Nov 27, 2015) If the time is 1.5 then what is the angle between hour hand and minute hand?

 Manab said: (Jan 14, 2016) Formula for 30(h-m/5)+m/2?

 Abinash Das said: (Jan 22, 2016) 1 hr = 60 min. 8 hr = 60*8 = 480. 30 min = 480+30 = 510 hr. Angle traced by hour hand = 510 hr/2 = 255. Angle traced by min hand = 360/60*30 = 180. = 255-180 = 75.

 Imantu said: (Apr 13, 2016) Yes, it is very simple with formula, everyone can do it.

 Tayza said: (Sep 29, 2016) @Manab. Can you explain me? How was the formula formed?

 Asad said: (Oct 6, 2016) No formula required, just 9 o clock is 45 degree, center of 9 and 7 is 8 simple 75 degree.

 Rahul said: (Nov 9, 2016) How is it possible as 1min = 6 degree? => 10 mins= 60 degree. So, solution is wrong.

 Naveen said: (Jan 6, 2017) Simple way to find out the degrees is 8:30 Step1: Multiply hour and min= 8 * 30 = 240. Step:2: Now multiply 30*11/2 = 165. Step3: Subtract 240 -165= 75° ->answer.

 Mithun said: (Jan 27, 2017) How to find the angle when time is 7.40 using 30 * h- (11/2) * Min?

 Vishnu said: (May 19, 2017) To find the angle between the times 1.05,2.10,3.15,4.20,5.25, 6.30,7.35,8.40,9.45,10.50,11.55 and 12.60 only takes the half of the minutes. For 1.05=2.50, 2.10=5 and so on.

 Raghavendra said: (Jun 12, 2017) θ =| 11/2 M - 30H | where M = 30 and H =8. θ = | 11/2 * 30 - 30*8 |, θ = | 165 - 240 |, θ = | -75|, θ = 75°.

 Pranoti said: (Jun 24, 2017) 30*Hours-5.5*Minutes. =30 * 8-5.5*30, =240-165, =75°.

 Nawaz Basha said: (Jun 27, 2017) Find out the angle of 2hrs 45 mins?

 Rohit Singh said: (Jul 30, 2017) What are the Angles of 7hrs 30 mins?

 Ayush Jain said: (Sep 25, 2017) we can do by formula also- 30 (H)-11/2(M) = 30(8)-11/2(30), = 240-165, = 75.

 Ace said: (Nov 4, 2017) It is very easy new method. In 1 minute your hand covers 1/2° while minute hand 6°. Multiply 30 (1/2) for degree covered by your hand =15°. And 10 min (6°) for degree by minute hand=60°. Just add them 60+15=75°. Any doubts.

 Asinha said: (Sep 20, 2018) How to calculate angle in 8:35? Could anyone help me out?

 Anomiee said: (Jan 26, 2019) @Asinha. 8.30 hrs = 8hrs+30mins. = ( 8+(30/60) )mins. = (8+1/2)mins= 17/2 minutes.

 Spartan said: (Mar 7, 2019) Here we have to find angle b/w 8.30. The speed of minute hand= 6. The speed of hour hand = 0.5. The distance b/w each no is =30 i.e, 360%12 = 30;. Sol : Hour hand: 8*30 = 240. And 30*0.5 = 15. Minute Hand 30*6 = 180. 255 - 180 = 75.

 Dibyaranjan Sahoo said: (Mar 12, 2019) 30 * 8 - 11/2 * 30, 240-165. = 75.

 Ravi Sharma said: (Apr 8, 2019) We can use this formula for this type of questions. Angle= 30H - (11/2)*M. Where H is hour and M is minute. So, 30*8- (11/2)*30 = 75 ans. Note: If the answer is minus then ignore minus or reverse this formula.