Aptitude - Clock - Discussion

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.

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°.

Reflex angle- the angle is more than 180 and less than 360 ° is called reflex angle-

The formula for this question-
M=2/11(t1*30+-∠),
∠= angle,

Form this question.
25=2/11(10*30+-∠),
25*11/2=300+-∠,
Mode
|275/2-300|=∠,
162.5=∠,
∠=360-162.5,
∠=197.5.

We can find the angle between two hands with the help of bellow formula ( x*30) - (y*11)/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.

By Using this formula 30H- 11/2 *M.
H denotes hour.
M denotes minute.

Here... 30*10- 11/2*25.
=300-137.5,
=162.5~ angle.

To get reflex angle: 360-162.5 =197.5.

@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.

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.

@Guru.

Actually for degree calculation |30h-{11(mints)}/2|=======30*10-{(11*25)|/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.

Given, time= 10:25.
Here, h= 10, m=25.
h= hours. &. m= minutes.

Formula is Angle=[ 30h-(11m/2)].
=[30*10-(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,
= 197*1/2.

In this, we have to use the formula ∠=[30h-(11m/2)].

Where; Replex angle= clock angle (ie 360)- actual angle.