Aptitude - Clock - Discussion
Discussion Forum : Clock - General Questions (Q.No. 8)
8.
The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:
Answer: Option
Explanation:
| Angle traced by hour hand in | 13 | hrs = |  |
360 | x | 13 |  |
° | = 130°. |
| 3 | 12 | 3 |
| Angle traced by min. hand in 20 min. = | |
360 | x 20 | |
° | = 120°. |
| 60 |
Required angle = (130 - 120)° = 10°.
Discussion:
79 comments Page 2 of 8.
Anurag Nayak said:
1 decade ago
Start at 4 pm. minute hand has to travel 20 min.
We know,
5 min gain by hour hand in 1 hour/60 min.
?? min gain by hour hand in these 20 min.
5/60 * 20 = 5/3 min.
We know 5 min is 30 degree.
5/3 min is 30/3 = 10 degree. Simple.
We know,
5 min gain by hour hand in 1 hour/60 min.
?? min gain by hour hand in these 20 min.
5/60 * 20 = 5/3 min.
We know 5 min is 30 degree.
5/3 min is 30/3 = 10 degree. Simple.
Janhavi Neelesh Vaishampayan said:
1 year ago
The hands initially make an angle of 0 degrees.
But as the hour hand rotates 0.5 degrees per minute,
it will have made an additional 20*0.5 degrees = 10.0 degrees.
i.e. the total angle between the hands = 0+10 = 10 degrees.
But as the hour hand rotates 0.5 degrees per minute,
it will have made an additional 20*0.5 degrees = 10.0 degrees.
i.e. the total angle between the hands = 0+10 = 10 degrees.
(7)
Aaditya Pant said:
3 years ago
None of this is required. I use a basic formula, which is the absolute value of 30H- 5.5m.
Therefore, Angle = (30x4) - (5.5x20).
= 120-110.
= 10 °.
Therefore, Angle = (30x4) - (5.5x20).
= 120-110.
= 10 °.
(10)
Nitin said:
1 decade ago
By common sense it is clear that in 20 minutes the minute hand will move 20*6=120degree and the hour hand will move20*(1/2)=10degree.
Clearly min hand will be at 20 and hour hand will be 10degree apart.
Clearly min hand will be at 20 and hour hand will be 10degree apart.
(1)
Harish said:
1 decade ago
Hello @Javed,
You have explained the solution clearly, but in the simplifying process.
= 4(1/3) (i.e 4 hr and 20 min).
=> 4*3+1/3.
Here in this above step 4(1/3) should become 4/3 right.
You have explained the solution clearly, but in the simplifying process.
= 4(1/3) (i.e 4 hr and 20 min).
=> 4*3+1/3.
Here in this above step 4(1/3) should become 4/3 right.
Vivek Akhande said:
9 years ago
Direct formula:
|[{(11* Minute) ÷2}-30 * Hour]|
Best accurate formula for finding angle between minutes and hours, coincidence angle, straight line, perpendicular angle and random angle.
|[{(11* Minute) ÷2}-30 * Hour]|
Best accurate formula for finding angle between minutes and hours, coincidence angle, straight line, perpendicular angle and random angle.
Sundar said:
2 decades ago
Hi All,
We can write 4 hrs. 20 mins. as 13/3 hrs.
13/3 = 4 and (1/3)hrs
= 4.20 ( Here 1 hour = 60 mins, 1/3 of 60 is equal to 20).
Hope you understand guys. Have a nice day!
We can write 4 hrs. 20 mins. as 13/3 hrs.
13/3 = 4 and (1/3)hrs
= 4.20 ( Here 1 hour = 60 mins, 1/3 of 60 is equal to 20).
Hope you understand guys. Have a nice day!
Dolagobinda behera said:
1 decade ago
As @Anurag answers it is the degree achieved in 5/3 minute by hour hand but how is it related to the angle being asked between the hour hand and minute hand in the question ?
Greeshma said:
1 decade ago
I think the formula you given (11M-60H)/2 is wrong, It is not coming can you explain it? For example the angle between the two hands at 6:00 it is giving wrong answer.
Raviteja said:
1 decade ago
Here is a simple formula to get an angel between hands..
30*[ Difference b/t hours and ( min /5) ]+ (min/2)
Take an example 4:20
30*[4~20/5]+(20/2)=0+10 = 10
30*[ Difference b/t hours and ( min /5) ]+ (min/2)
Take an example 4:20
30*[4~20/5]+(20/2)=0+10 = 10
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