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 7 of 27.

Bhavana said:   1 decade ago
I cannot understand how to calculate 125/12

Durga said:   1 decade ago
Here we have given 10.25
=>the hour hand will rotate 10 hrs and 25 minute

But we know that 60minute =1hr
so 1min=1/60hrs
25 min=25/60=5/12 hrs.........................................(1)

the hour hand covered 10 hrs and 25 minute
So total hour covered=
10+5/12 hrs {from equation 1}
=(120+5)/12
=125/12

Madhu said:   1 decade ago
Even I wanted to know why hte reflex angle is calculated as 125/12.

Sisi said:   1 decade ago
Vasuroshan explasnation is good but I have a doubt if the angle is lessthan 180 then sub it from 360 ok. But if the angle is graterthan 180 then what is the solution. Please tel me.

Alex said:   1 decade ago
30H-(11/2)M where H----Hours
M----Minutes..

How do you use this formula to calculate the angle when the clock is showing 3:25?

Jahir said:   1 decade ago
The below angles are defined

Acute angle Less than 90°
Right angle Exactly 90°
Obtuse angle Between 90° and 180°

Straight angle Exactly 180°
Reflex angle Between 180° and 360°
Full angle Exactly 360°

Sowmia said:   1 decade ago
Vasuroshan answer is very simple and well undestandable but please tel me one thing if the angle is graterthan 180 then what we should do?

Varun said:   1 decade ago
Minute hand speed= 6degree/min
thus in 25 minute= 6*25= 150 degree
hour hand speed = 1/2 degree/min
thus in 25 minute= 1/2 * 25= 12.5 degree
thus angle between these two hands= 150+12.5= 162.5 degree
thus reflex anlge= 360-162.5= 197.5 degree

Indu said:   1 decade ago
In reflex formula how you get 11/2? Please tell me.

Angu said:   1 decade ago
@ Shreekanth. Thank you.


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