Aptitude - Clock - Discussion

Discussion Forum : Clock - General Questions (Q.No. 2)
2.
The reflex angle between the hands of a clock at 10.25 is:
180°
192 1 °
2
195°
197 1 °
2
Answer: Option
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 .
2 2 2

Discussion:
269 comments Page 24 of 27.

Nili said:   7 years ago
@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:   7 years ago
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:   7 years ago
@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.

Sharmu said:   7 years ago
Where; Replex angle= clock angle (ie 360)- actual angle.

Sharmu said:   7 years ago
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)].

Dipankar mondal said:   7 years ago
360- hour * 30-minute * 11/2 = 360-10*30-25*11/2 = 360-162.5 = 197.5.

Abhitha said:   7 years ago
First, we have to calculate the angle between hour and minute hand.

Time given=10.25.
Angle between two hand=(30*H)-11/2*M.
=(30*10)-11/2*25,
=300-137.5,
=162.5.
Reflex angle = 360-162.5.
=197.5 ie;197 1/2.

Vasim said:   7 years ago
Simply use formula:

Angle = 30*H - (11*M) / 2 ---> (1).
Reflex Angle= 360 - Angle ---> From (1).

Chikkuangel said:   7 years ago
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:   7 years ago
197.5 is the correct answer for this.


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