Clock Formula Short Trick | Clock Angle Degree Short Trick | Clock Reasoning Aptitude

#shorts #clock_reasoning_tricks #clockquestions Clock angle questions are most common in any aptitude test. To solve a clock reasoning problem, you must know this short trick to save time in exam. Although there are clock angle calculation formula but this video explains a quick shortcut trick to solve the angle between the hands of a clock in degrees.

[@d.SAiNi.]

Here is the maths behind this trick: In the standard 12 hours' analogue clock, 360° angle for 60 minutes or 12 hours, so, one minute travels by 6° angles and one hour travels by 30° angles as 360/12 = 30°. So that's how we get multiplier of 30 for hours' hand (30h). Now for -11/2 or -5.5 for minutes' hand: Let's take 12:00 (or 00:00), the angle is 0° or 360°. Now after 1 minute at 00:01 or 12:01 = The Angle between 12 and 12:01 is 6° (as 360° by 60 minutes so 1 minute = 360/60 = 6°). But at 12:01 the hour's hand will shift towards 01 by 1/2° or 0.5° angle, so the angle will be shorter by *0.5° (explained below), hence angle for 12:01, 6° - 0.5° = 5.5° or 11/2 (for 1 minute as 00:01). (30*12 - 11/2*01 = 360-5.5 = 354.5 or 5.5 for inner angle) *How 0.5° : In a 12 hours Clock an hour hand travels 30° for an hour and there are 60 minutes in an hour. So in one minute an hour hand travels by 30/60 = 0.5° angle. So for 1 minute travel each, angle will be less by 0.5° from 6° (as angle between a minute is 6°), 6° - 0.5° = 5.5° or 11/2° So 5.5° need to less for each minute travel by the hour hand. Hence the formula is |30h - 5.5m|, ('h' for hour & 'm' for minutes in 'hh:mm').

[@d.SAiNi.]

As explained above, this is an another method on same above principle: = |(Hour's hand no. - Minute's hand no.)| *30° +/- (total minutes *0.5°) (For 2nd part (minutes *0.5°), if hour's hand moved towards minute's hand then value to be subtracted otherwise to be added). i.e; for 07:20 => minute's hand at 04, so = |(7-4)| *30° + (20*0.5°) = 90° + 10° = 100° and for 01:20 = |(1-4)| *30° - (20*0.5°) = 90° - 10° = 80° Use decimals for inbetween minutes, like 3.8 for 19 minutes, 4.2 for 21 minutes etc.

[@pankajmehta249]

Thanks buddy 😁

[@pankajmehta249]

Appreciated it 👍

[@pankajmehta249]

​@@d.SAiNi. wow 😳

[@jo_ah_jun]

Bro! How much time did you spend to explain 😅😅😅😅😅😂 amazing

[@adventurousman7928]

A- 20° B-160°

[@ShrutarthaZ]

best trick

[@rsrrstudio786]

1:55 30*1=30 h 11/2 *55=302.5 min 30-302.5= -272.5 (greater than 180°) Since -ve ,take Absolute value=272.5 So 360-272.5=87.5° ✅ 9:20 30*9=270 11/2 *20=110 270-110=160° ✅

[@ishitaece-0470]

Best trick, I was struggling with this ... now it's super easy ❤❤

[@jicae8472]

A-87.5 B-160

[@solidzeng]

Where is 30 and 11/2 come from

[@d.SAiNi.]

Here is the maths behind this trick: In the 12 hours' clock 360° angle for 60 minutes or 12 hours, so one minute travels at 6° angles and an hour travels at 30° angles as 360/12 = 30°. So that's how we get multiplier of 30 (30h) for hours' hand. Now for 11/2 or 5.5 for minutes' hand: Let's take 12:00 (or 00:00), the angle is 0° or 360°. Now after 1 minute at 00:01 or 12:01 = The Angle between 12 and 12:01 is 6° (as 360° by 60 minutes so 1 minute = 360/60 = 6°). But at 12:01 the hour's hand will shift towards 01 by 1/2° or 0.5° angle, so the angle will be shorter by *0.5° (explained below), hence angle for 12:01, 6° - 0.5° = 5.5° or 11/2 (for 1 minute as 00:01). (30*12 - 11/2*01 = 360-5.5 = 354.5 or 5.5 for inner angle) *How 0.5 : In a 12 hours Clock an hour hand travels 30° for an hour and there are 60 minutes in an hour. So in one minute an hour hand travels by 30/60 = 0.5° angle. So for 1 minute travel each angle will be less by 0.5° from 6° (as angle between a minute is 6°), 6° - 0.5° = 5.5° or 11/2° So 5.5° need to less for each minute travel by the hour hand. Hence the formula is |30h - 5.5m| ('h' for hour & 'm' for minutes in 'hh:mm').

[@d.SAiNi.]

The formula |30h - 5.5m| is simplified. If expressed as: = |30h - (6m - 0.5m)| or |30h - 6m + 0.5m| 30h: The hour hand travels 30° in one hour, =(360/12), as 360° in 12 hours. 6m: The minute hand travels 6° in one minute, =(360/60), as 360° in 60 minutes. 0.5m: The hour hand travels 0.5° in one minute, =(30/60), as 30° in 60 minutes. .

[@MrArchit16]

​@@d.SAiNi.thanks

[@142RohitSharma]

A=117° and B=160°

[@hiteshrout305]

In this video people saved 30 min then other videos on youtube

[@shreyanshsheth8541]

what if angel is given and we have to find time

[@KAUSHIKgpt]

Nah it is impossible to find time by angle because angle may be in any part so the time can varies accordingly

[@Trender21]

Is this working ?

[@Jakes3353]

No they patched this bug 😔

[@krishnkant3216]

A 87.5 B 160

[@SURAJKUMAR-rg2lg]

272.5° 160°

[@raghunathjena9197]

What's the Angle at 4:30 ? What's the Angle at 12:20 ?

[@TheUnique-lw7ks]

4:30 = 45° 12:20=110°

[@failure_boy_ram4791]

A. 272.5° B.160°

[@kankanasaikia6803]

A) 87.5 B) 160

[@mathswithanimesh7183]

A-87.5 B-160

[@hemantparakh6462]

I wish to start a Clock-Radio Company with the following concepts 1- 60℅ problem with 50℅ Solution 2- 60℅ problem with 40℅ Solution 3- 60℅ problem with 30℅ Solution 4- 60℅ problem with 20℅ Solution 5- 60℅ problem with 10℅ Solution 6- 60℅ Problem with 0℅ Solution 7- 40℅ Job using 30℅ Protractor 8- 40℅ Job using 20℅ Protractor 9- 40℅ Job using 10℅ Protractor 10- 40℅ Job using 0℅ Protractor So kindly suggest a suitable plan for me to start upon

[@kpa1998]

You are wrong buddy

[@anithagowd9950]

A=l:55...272.5° B=9:20...160°

[@zamohbhai7738]

Anita 272.5 is outer angle we should find inner one.. i.e 272.5 - 360 = 87

[@VIKASH-HUMAN-3387]

I missed a Question in CSAT 2024 SAME concept of question 4:25 But after this short video I answered in just 8 sec. 17.5 Where u were sir😢

[@patturaja5432]

how you 87.5 please anyone can explain me for this one

[@riti__5712]

Yeah I also don't understand My answer is 90 and 160 🤷‍♀️

[@srajput5406]

1 ko 13 manna h

[@carmenjoyaguirre5998]

A-87.5 B-160

[@RakeshFF-g7]

😂

[@adityatayade1002]

1)87.5 2)160

[@guddetiharshavreddy2923]

super bro thanks for your trick........

[@mathswithanimesh7183]

87.5,160

[@smruthig9954]

Thank you❤❤❤

[@AshutoshTiwari-xc4td]

Could be written as 30H-11/2m H=hours M=minutes

[@nikitasingh8778]

Thank you so much sir for this trick

[@hannamohammed3295]

Thank you so much sir 😍

[@AjaySharma-gy4ck]

Thanks sir

[@MamoniGorain-i4z]

১০০degree

[@bassio7272]

We need a simple for Work and time also please

[@khandu862]

Thank you 🎉🎉🎉

[@GowriEswaranIBSC-Cs-C-xd3no]

A 87.5

[@AAGAMJAIN-m1j]

Thank you sir

[@konnichiwa8316]

Is thisvtrick applicable to every Qs of clock?

[@anandkumarel9772]

A 1:55---272.5° B 9:20---160°

[@chaithrakk6301]

A part is outer angle.. Correct answer is 87.5

[@mq9877]

First: 87.5 & Second: 160

[@nagarjunrenkala1344]

Thanks

[@namrtaskitchen6344]

9:20 = 160 1:55= 272 .5

[@khanakash9631]

88

[@cadetharshit6833]

Ma'am but you have to report supplementary angle so you need to subtract it from 360

[@chaithrakk6301]

താങ്ക്സ് sirrrr

[@SirMannyAngel]

The answer for A is 87.5. The answer for B is 160.

[@pranavpranu7357]

How you got 87.5

[@m2u672]

If 0 degree can we consider ??

[@thepawan78]

What will be the Angle at 3:00 PM?

[@parbinsultana1423]

A is 87.5 and B is 160

[@VikasKumar-fz5lh]

English me. Boliye na Hindi samajh nahi aati hai😢😢😢😢😊

[@Umra867]

87..5 for 1st one & 2 one is 160

[@samirana8362]

8.15 into degree

[@stanb6624]

A = 87.5 // B = 160

[@jasveerkaur8491]

How

[@Education75-x6g]

87.5 and 160

[@mamtasahv]

Very helpful ❤

[@-PRAVEENK]

What is the angle between 10:25

[@MadhavMandapati]

A=87.5° B=160°

[@AnupamaNath99]

A. 87.5° B. 160°

[@AnithaSanthosh-j9m]

1.1*30-11/2*5 30-302.5 272.5 360-272.5 87.5

[@heart_hacker_wd0075]

Thank you ❤

[@FREEFIRE-h3l]

A=87.5° B=160°

[@ck8224]

a-87.5 b-160

[@roshanshaji9724]

Thank you 🙏🙏

[@ffrk98gaming18]

160

[@mounaumesh6570]

87.5 degree 160 degree

[@ias214]

That is great

[@nikhilmudhiraj1891]

1st ....88 angle 2nd ... 160 angle

[@dashsaumyacreation9302]

One of the best trick thank u.thank u thank u

[@udaykiranmudiraj1745]

A=87.5° B=160°

[@trishtalukdar5133]

90• and 160•

[@NaveenChoppara]

Super class

[@nikitasirswal5359]

😂 English 🙏🏻

[@KilariBhargav-rm6ei]

11/2*m-30h

[@sd_kitchan1628]

Thank you sir

[@RaumitSharma-b2x]

Y😊

[@cadetharshit6833]

A- 87.6 B-160

[@Mohit_Sharma271]

Thanku sir 😊😊

[@puspanjalirout9507]

A-87.5 B-160

[@KhanBilal-k9i]

A 57.5

[@biswajitbagdi5884]

❤❤❤❤❤❤

[@ranjithajranju2055]

Tq sir

[@xnervemusic]

Thank you sir

[@NishuMishra-fp6re]

100 hoga sir

[@142RohitSharma]

A=117.5° and B=160°

[@ompachpind7106]

I think you are mistaken in 1st

[@daylansaab7812]

Han 1st ka 272.5 hoga uske baad use 360 m se subtract krenge jiske baad uska correct answer hoga 87.5

[@047mngmregolover8]

I also got 272 later confused ​@@daylansaab7812

[@debarghyasaha5394]

Honu-man

[@ranjit5271]

87.5 & 160

[@kennethkan3252]

10:10 360°×(4÷12) =120°

[@GowriEswaranIBSC-Cs-C-xd3no]

B 160°

[@PrajjwalBTSrock]

🎉🎉🎉🎉🎉

[@AayushiPilania]

A- 87.5 and B-160

[@suryab.s5434]

100

[@Purushattam_Murmu]

Nice❤

[@dollykumari-ne3iv]

10

[@skjalaluddin9377]

90

[@harshitsingh4525]

Nice

[@Pampakoli1974]

87.5 and 160

[@ODIASHOR]

88.5😂

[@judemichaelbuban3690]

Hrs×(no.minutes/60)30-6×no of minutes

[@Urdayfanpage]

8:35 ka kya hogaaa

[@ManojPatil-jb8px]

47.5

[@Jakes3353]

Fr thank you so much. I can believe this could be this easy amazing teacher!

[@ditya0809]

55 and 110

[@RiddlerRavi]

Brilliant

[@Maths_Wonderland]

A) 87•5°. B)160°.

[@futurelegendgamer6483]

Why we take only 11/2

[@-SankarNarayananK]

The difference in angle between the hour hand and the minute hand during 1 hour is 55 degrees. So it makes sense to use 5.5 which is equivalent to 11/2 for finding the angle covered by the minute hand (It should be noted that an minute hand will cover an angle of 360 degree for a period of 60 minutes which means every minute the minute covers an angle of 6 degree, whilst the hour hand covers an angle of 30 degree for the same duration covering an angle of 0.5 degree for every minute). So the difference in angle between the hour hand and minute hand for a minute is given by 6 - 0.5 which leaves us with 5.5. So 5.5 (or) 11/2 is the factor that we ought to use for finding the angle cover by minute hand for a specific period of time.

[@rinkidas8197]

A-87.5° B-160°