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 10 of 27.

Sandy said:   1 decade ago
From the above example, we have already got the answr for 10.25 in hour hand, then why we agin find the deg for minute hand that too only for 25 min not 10 hours? please clear my doubt.

Umesh said:   1 decade ago
Angle traced out by hour hand in 1 hour = 360/12 = 30 deg.
Angle traced out in 10 hours = 300 deg.
angle traced out in (25/60) hrs. = 30 *5/12= 25/2
total angle = 300 + 12.5 =312.5 deg
(1)

Salma said:   6 years ago
Use direct formula.

Which is used to find angle between the two hands at a time, h, m is;
30*h - 5.5*m.
So here,
h=10, m=25.
300*10 - 5.5 * 25 = 162.5.
360 - 162.5 = 197.5 (option D).
(1)

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.

Anuj shukla said:   1 decade ago
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.

Anuradha said:   1 decade ago
I know what is reflex angle but please tell me how they calculated it? why have they subtracted 150 from 312 and half degree and the obtained no. from 360 degree. Please explain.

Sharad said:   1 decade ago
Guys. From above example. reflex angle formula it should be like this

Reflex Angle = 360(degree) - ( hour hand[it shd be in degree] - minute hand[it should be in degree] )

Thejas said:   1 decade ago
|30h-(11/2)m| ----> Formula to find angle between 2 hands.

|30*10-(11/2)25|

|300-275/2|

|(600-275)/2|

|325/2|

162.5 degrees.

Reflex angle is 360 - 162.5 = 197.5.

Sahithis said:   4 years ago
We can use the formula angle=30h-11/2 m ; m=minutes, h=hours.
Since they asked for reflex angle subtract the result from 360.
Angle = 30(10)-11/2(25)=325/2.
360-325/2 = 197.5

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).


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