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 4 of 8.
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 ?
Lakshmi said:
1 decade ago
As we know 12 hrs = 360 deg.
i.e, deg's between hr to hr is 30 deg.
1 hr = 60 min.
We want degree for only 20 min.
20 min = 10 deg.
40 min = 20 deg.
i.e, deg's between hr to hr is 30 deg.
1 hr = 60 min.
We want degree for only 20 min.
20 min = 10 deg.
40 min = 20 deg.
Monika said:
1 decade ago
What is 360/12 & 360/90? Just make it clear please.
Javed said:
1 decade ago
So simple guys.
Total 360 degrees.
Total clock = 12 hours.
360/12 = 30 degrees.
That is 1 hour = 30 degrees.
1 minute = 360/60 = 6 degrees.
1 min = 6 degree.
1*20 = 6*20.
20 min = 120 degrees -----> 1st equation.
Simplify:
= 4 (1/3) (i.e 4 hr and 20 min).
=> 4*3+1/3.
=12+1/3.
= 13/3.
= (13/3)*(360/12).
= (13/3)*30 {cancel 3*10 = 30}.
13*10 = 130 ------> 2nd equation.
Remove 1st equation and 2nd equation.
130-120 = 10 degrees.
Answer is 10 degrees.
Total 360 degrees.
Total clock = 12 hours.
360/12 = 30 degrees.
That is 1 hour = 30 degrees.
1 minute = 360/60 = 6 degrees.
1 min = 6 degree.
1*20 = 6*20.
20 min = 120 degrees -----> 1st equation.
Simplify:
= 4 (1/3) (i.e 4 hr and 20 min).
=> 4*3+1/3.
=12+1/3.
= 13/3.
= (13/3)*(360/12).
= (13/3)*30 {cancel 3*10 = 30}.
13*10 = 130 ------> 2nd equation.
Remove 1st equation and 2nd equation.
130-120 = 10 degrees.
Answer is 10 degrees.
Rouf said:
1 decade ago
At what time between 1pm and 2pm the angle between hour hand and minute hand is 168 degrees?
Saisumanthkosuru said:
1 decade ago
What is angle between 4 hours 10 minutes?
Sanapala durga prasad said:
1 decade ago
30H + 0.5M - 6M = 30*4 + 0.5*10 - 6*10 = 65 deg.
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.
Tamizh said:
1 decade ago
Thanks Mr.Prasad for clearing my biggest doubt in this chapter by using that formula. i.e 30*hrs-(11/2)*mins.
That was helpful.
That was helpful.
Junaid said:
1 decade ago
Its so simple guys.
Total 360 degrees.
Total clock = 12 hours.
360/12 = 30 degrees.
Now 1 hour = 30 degrees.
1 hour = 60 minutes.
So 30/60 = 0.5 Degrees.
Now 1 minute = 0.5 Degrees.
Just multiply Degree*Minutes.
= 0.5*20 = 10 Degree.
Total 360 degrees.
Total clock = 12 hours.
360/12 = 30 degrees.
Now 1 hour = 30 degrees.
1 hour = 60 minutes.
So 30/60 = 0.5 Degrees.
Now 1 minute = 0.5 Degrees.
Just multiply Degree*Minutes.
= 0.5*20 = 10 Degree.
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