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 15 of 27.

Steven said:   10 years ago
125 were is it coming from?

Neha said:   10 years ago
10:25.

= 10hrs 25mins.

But 60mins = 1hr.

Then 1min = 1/60hr.

So 25mins = 25/60hrs = 5/12 (after dividing by 5).

Hence= 10+5/12hrs.

= (120+5)/12hrs = 125/12.

Vash said:   10 years ago
This is the best way 10:25.

First find the minutes 10 hrs x 60 min.

600 mins + 25 mins = 625 mins and then divide by 60 because I cycle is 60 mins. So 625/60 reduce so 125/12 multiply by 360 degrees over 12 hrs.

360/12(125/12) (360/12) = 45000/144 = 312.5 degrees/hr. So that's, your degrees in hour and then find degrees in 25 minutes. 25 mins x (360/60) because 360 degrees 60 mins.

9000/60 = 150 degrees. Then degrees in hour - degrees in minute. 312.5-150 = 162.5 degrees. Then 360 degrees - 162.5 degrees = 197.5. Because reflex angle are not less than 180 but not more than 360.
(1)

Vash said:   10 years ago
Reflex angle is more than 180 but less than 360 angle between 180-360.

Rizwana Mumu said:   10 years ago
What is the acute angle between the hands of hour & minute at 6:25?

Darwin Lamsal said:   10 years ago
10 hrs and 25 minutes =125/12.

That's all.

Ashwini said:   10 years ago
Formula:

0.5[60*H-11*M].

= 0.5[60*10-11*25] = 162.5.

If angle is greater than 180 degree than subtract from 360 degree.

= 360-162.5 = 162.5.

Ashwini said:   10 years ago
@Rizwan,

Use this formula. You get answer for angle between 6.25.

Shez said:   10 years ago
At 10 o'clock angle between them = 300.

For 25 min displacement between them = 25*5.5 = 137.5.

So, angle between them = 300-137.5 = 162.5.

For reflex angle = 360-162.5 = 197.5.

OR 30H - (11/2) M.

H----Hours.

M----Minutes.

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

= (300-137.5) = 162.5.

If the angle is < 180 sub from 360 viceversa.

= 360-162.5 = 197.5.

SAI CHAKRADHAR said:   9 years ago
Write 10:25 as.

10*25/60 = 10*5/12 = (10*12 = 120 + 5 = 125/12).

Therefore, now we should multiply with 30.

(125*30/12 = 625/2 = 312.5).

Now 25 minutes should be multiply with 6.

(25*6 = 150).

And then subtract 150 from 312.5.

(312.5 - 150 = 162.5).

Reflex angle = (360 - 162.5 = 197.5).


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