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 6 of 27.

B.Vamsi Srinivas said:   1 decade ago
Have a look at my solution once...

Time 10:25

Reflex Time...
11:60
-10:25
~~~~~~~
1:35

formulae to find angle

Angle = 11*(m)
---- - 30(h)
2
m = minutes
h = hours

so
now

11*35
= ----- - 30* 1
2


385 - 60
= --------
2

325
=---
2

1
=167 ---
2

Correct me if I'm wrong.

Nandhini said:   1 decade ago
This is the formula to calculate the angle.

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

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

Ravi said:   1 decade ago
Angle traced in 1 hour=360/12=30 angle
Angle traced in 10 hours=30*10=300 angle
Angle traced in 25min=25/60hour=30*25/60 angle=25/2=12.5 angle=12(1/2)

total Angle traced in 10hour25min=300+12.5 angle =312(1/2)


Angle traced by minute hand in 25 min =(360/60)*25=150 angle
hence 312(1/2)-150=197.5=197(1/2)

Jitendra chauhan said:   1 decade ago
It is very easy. We can solve it like

10.25 hr=10hr+25 min
=(10+25/60)hr
=10+5/12
=(120+5)/12
=125/12 hr

Wasim said:   1 decade ago
Reflex angle is defined as the angle obtained when the angle between hour and minute hand is subtracted from 360 degree.

Gouthamprasanna said:   1 decade ago
To calculate the reflex angle formula is

= 360-(30*H-11/2*M)

Where His hours hand and M is minute hand.

Jyothipriya said:   1 decade ago
Please explain the concept clearly how to find the exact reflex angle.

Balaji said:   1 decade ago
Prassaa is correct. First use the formula 30h-(11/2)m. if the answer comes 180 below. I think all of you got the answer is 137.5

Then simply subtract it from 360. Then we get the 197.5 like that.

Otherwise I mean if the answer comes 180+ then that is the answer no need subtract it from 360.

Vasuroshan said:   1 decade ago
Nice expalnation guys. I have a known formula.

30H-(11/2)M where H----Hours
M----Minutes

So, sub.. 30(10)-(11/2)(25)

(600-275)/2=162.5

If the angle is <180 sub from 360 viceversa...

360-162.5=197.5

I Hope You guys can understand.


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