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

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#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.
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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.
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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° ✅

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

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

hiteshrout
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what if angel is given and we have to find time

shreyanshsheth
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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

hemantparakh
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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😢

VIKASH-HUMAN-
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how you 87.5 please anyone can explain me for this one

patturaja
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We need a simple for Work and time also please

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

AshutoshTiwari-xctd