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 13 of 27.

Divya said:   1 decade ago
What's the formula to calculate reflex angle if it is greater than 180 degrees? Anyone who know please tell me.

Soundarya said:   1 decade ago
Reflex angle is nothing but an angle greater than 180 degrees.

Ajay said:   1 decade ago
Equation for the angle of the hour hand,

(Hour Angle) = (60H+M)/2.

Where, H= Hour.

M is the minutes past the hour.

And, Equation for the angle of the minute hand, (minute Angle) = 6M.

For Example:

10.25.

(Hour Angle) = (60*10+25)/2 = 312.5.

(Minute Angle) = 6*25 = 150.

Reflex angle = 360-(312.5-150) = 197.5.

Sweta said:   1 decade ago
Hi everyone, Please help me to solve clock problems because I am unable to understand the concept.

Murugesh said:   1 decade ago
What is flexible angle?

Kasinath@Hyd said:   1 decade ago
So simple, to find degrees for a value > 180 or > 6'o clock.

Formula is 1/2 (60*hrs-11*min).

= 1/2(60*10-11*25) ==> 1/2(600-275).

==>162.5.

Since reflex angle i.e., 360 deg.

Therefore 360-162.5 ==> 197.5.

Alok said:   1 decade ago
I think 125/12 is wrong.

10.25 hrs = 10h+0.25 hrs = (10*60+0.25*60) mins = 615 mins = 615/60 mins = 123/12 hrs.

Harindra said:   1 decade ago
10.25 = 10+25/60 = 10+5/12 = (120+5)/12 = 125/12.

So 125/12*360/12 = 312 (1/2).

And now long hand in 25 minute = 6*25 = 150.

Reflex angle = 360-(321(1/2)-150) = 197(1/2).

Abhinit Aand said:   1 decade ago
This one is for those who have chosen formula to solve these sort of problems. Use formula to find angle between clock hands at 1:50? particularly to @Kasinath@Hyd.

M Rajeswari said:   1 decade ago
Hi everyone,

It is simple question The reflex angle b/w the hands of a clock at 10.25.

Then formula is 11/2M-30H.

So, we can substitute in this, 11/2(25)-30(10).

=>162.5.

Then, the angle 360-162.5.

=>197.5.

That's it.


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