Aptitude - Clock - Discussion

Discussion Forum : Clock - General Questions (Q.No. 3)
3.
A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:
145°
150°
155°
160°
Answer: Option
Explanation:

Angle traced by hour hand in 12 hrs = 360°.

Angle traced by hour hand in 5 hrs 10 min. i.e., 31 hrs = 360 x 31 ° = 155°.
6 12 6

Discussion:
87 comments Page 2 of 9.

Madhav reddy said:   6 years ago
Angle = 30H-11/2Min.

Therefore for 5:10 ANGLE IS 30 * 5-11/2 * 10 = 150-55 = 95 degrees.
This is the correct answer.
(4)

Vala Sailo Lal said:   5 years ago
Solution.

A clock is a circular shape and is 360°.
A clock is divided into 12 sections or 12 hrs.
Every sections or hour is 30°.

i.e 360°/12 = 30°.

So, 1 hr = 30°.
we get, 5hrs = 30°X5 = 150°.

1 min = ° ?
As 1hr = 30°.
1 min = (30°/ 60) =(1/2)= 0.5°.
So, 10 mins = 10 X 0.5° = 5°.
Then, 5 hrs 10 mins = 150°+5° = 155°.
(2)

Bhimnadh ravi said:   8 years ago
There are 5 hours between 12 to 5.
We know that 1hr =30 degree,
So 5*30=150degree,
We have 10 min.
So 1min= 1/2 degree,
10min= 10/2 = 5 degree,
By adding 5+150= 155 degree.
(1)

Thambi said:   8 years ago
Hint : Clock started at noon therefore 10min past of 5 means that the clock time is 4:50
hence, now observe the clock 12(-6),1,2,3,4,5,6,7(-1),8(-2),9(-3),10(-4),11(-5) here - indicates opposite.

So now 4:50 means 4 is hours hand 50 is min hand which is -4.

Therefore 4-4=180(complete cycle). Now answer is (180-(50/2))=155. Why 50/2 means 50 is min covered, we know in 1hr it covers 30 degrees then in 1min it covers 1/2degrees therefore in 50min it covers 50/2 degrees.
(1)

Yash said:   8 years ago
It is too much simple.do not complicate it.

Just convert hours into minutes..so, we can say.

12 hours = 360°.

Convert 12 hours into minutes= 720 minutes,
and 5 hours and 10 minutes= 310 minutes,


So simple formula fir that is;
720 minutes = 360°
310 minues = (?).

So,
Cross multiply it and then divide.

(310 * 360)/720.
It become 111,600/720= 155°.
(1)

Suhana said:   7 years ago
Hello everyone.

min=10 past=5 it means,
10 hours 5 min,
so, 10+5/60 = 31/6,
Therefore, hour hand = (360/12 * 31/6) = 155 Ans.
(1)

Riya shah said:   9 years ago
Also, apply the formula;
Q = 30H + 1/2M.

Put the value of Hour and minutes.

30 * 10 + 1/2 *5,
= 155.
(1)

Priya said:   5 years ago
1hrs=30°
So 5 hrs 10min =(5+1/6)*30°. i.e
1hrs = 60min
1min =1/6
10min = 10/60 = 1/6
= (31/6)*30.
= 155°.
(1)

Shravan purohit said:   1 decade ago
@navaneetha

Given : our hour hand started at noon i.e. 12 o'clock
and 10 minutes past 5 i.e. 5 hour 10 minutes
we find angle between 12 and 5.10 o'clock
firstly we convert 5hour 10min into minitus 5*60+10=310min
and 310min convert into hour 310/60=31/6

In 12h = 360
So in 31/6 h= (360/12)(31/6)=155 degree.
(1)

Uma said:   2 decades ago
I can't understand how that 31/6 come?
(1)


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