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 9 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.

Hai said:   8 years ago
Guys, 10:25 us equal to 10 hours and 25 minutes.

When you convert 10 hours to minutes, it is 600 minutes,
So 600+25/60.

Then simplify the fraction by dividing to their GCF, which is 5.

So, (625/60) / 5 = 125/12.

Jagadeesh said:   1 decade ago
Actually they are 12 hours and we are caluculating 10.25.

So we will be taking directly asa 10+25/12. Because in a clock they will be only 12 hours and in the next step we are calculating for 25 min ie 25/60.

Sumit said:   5 years ago
@All.

We have to give 10.25 min.
It means 10 hours 25 min.
We need to convert 25 min into hours.
That's, why I m going for 25 divides by 60 that converts into an hour and then we calculate.

Thanks, guys

Suvo said:   9 years ago
Angle moved by hours hand in 25 min. Is (25/2) degree. So angle between hour hand and 12 position is 60-25/2 degree. And angle between 12 and min hand is 150 degree. So reflex angle 60-25/2 + 150 degree.

Bikash said:   1 decade ago
Hey guys.

Reflex angle is nothing but the exterior angle.i.e. you got to subtract your angle with 360.
Here:
Using the formula : 30*h-11/2*m
30*10-11/2*25=162.5.

Reflex angle = 360-162.5 = 197.5.

Naresh said:   1 decade ago
We can easily solve this sum.

The hour hand covers 1/2 Degree per minute means for 25 minutes 25/2= 12/2 means 30-12 1/2= 17 1/2 Degrees.

1 Hour hand 6 hours = 180 degrees.

180 + 17.5 = 197.5.

Mayur said:   1 decade ago
Simple solution.

At 10 o'clock angle between them = 300

for 25min displacement between them = 25*5.5 = 137.5

so, angle between them = 300-137.5 = 162.5

for reflex angle = 300-162.5 = 197.5

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.

Mohana said:   9 years ago
We can use simple formula that,

Angle = 11%2 * min - (30 * hour).

ie) angle = 11%2 * 25 - (30 * 10).

So angle = 162.5.

To find the reflex angle, angle = 360 - 162.5.

= 197.5 degree.


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