Aptitude - Clock - Discussion

Reflex angle means angle more than 180 but less than 360 . So, we should calculate larger angle not smaller angle betwn the hands . We can choose the angle between the hands in two ways one more than 180 and other less than 180(obtuse) .

10.25 hr =10hr + 25min = 10hr + 25/60hr = 125/12 hr

So, the angle movie by hr hand from 0 hr point(12 in our watch) is

360/12 * 125/12 = 312.5

Angle move my minute hand from 0 hr point is 360/60 * 25 = 150

So the smaller angle(obtuse) between the hands is 312.5 - 150 = 162.5

So the larger i.e. reflex angle = 360-162.5 = 197.5

Hai guys u can solve any problem regarding clocks easily by using formula
angle=(11/2)m-30h

Simply substitute minutes in place of 'm' and hours in place of 'h'.

Minute hand moves 6 degree in a minute
Hour hand moves 1/2 degree in a minute
At 10:25, the minute hand is at 5 and hour hand is at 10 the difference between them is 35minute space
there degree is 35*6 = 210,
but hour hand is not exactly at 10 because it has moved to the extent of 25 minutes.
so it has moved to the degree of 25*1/2 = 12.5
reflex degree of 10:25 = 210 - 12.5
= 197.5

I didn't get simplified formula to understand this problem so please help me by simple method.

Hi IndiaBix Users,
It is a Cool Question;Just we have to apply the concept exactly to the analysis in this problem.
Thank You for all those who helped the solvers.
We usually measure angles in anti-clockwise direction.
So,the angle which is the major part in the rotation is measured as reflex angle,and mostly it is between 180 and 360 degrees.

10.25=10hrs 15 minutes
bcoz it is in decimal,
we have to convert it into hrs and minutes

Hi guys..
10.25 it can be written as in hrs.
(10+25/60)=(10+5/12)=(125/12).

Why we written .25 as 25/60 bcoz 10 is already in hrs.to change .25 min into hrs?

we divided by 60.

In a clear manner to explain about 125/12 is for 10 the angle is 10*30 = 300.

That is hours hand cover 30 degrees in one hour duration.

In the same way within 25 minutes it cover ((30/12) *5 = 12.5).

So that the angle is 312.5 degrees.

Short cut:

use this formula...

angel=(11/2)*min-30*hr........(1)

here hr=10 min=20 ref_angle=360

from (1)

angel=162.5

360-162.5=197.5....am i right....

Hour hand is at 10.25 and min hand is at 5.
Forget about min hand. Take 10.25 o clock as a refrence point and move hour hand towards 5 o clock.Here 5 is final point suppose.So hour hand will travel a total of 6.35 hours.In each hour angle formed if 30.So 6.35*30 = 190'30". MY answer is wrong but i dont think that i have made mistakes.
PLEASE DO TELL ME WHAT I AM DOING WRONG........