Aptitude - Clock - Discussion
Discussion Forum : Clock - General Questions (Q.No. 10)
10.
At 3:40, the hour hand and the minute hand of a clock form an angle of:
Answer: Option
Explanation:
Angle traced by hour hand in 12 hrs. = 360°.
Angle traced by it in | 11 | hrs = | 360 | x | 11 | ° | = 110°. | ||
3 | 12 | 3 |
Angle traced by minute hand in 60 min. = 360°.
Angle traced by it in 40 min. = | 360 | x 40 | ° | = 240°. | ||
60 |
Required angle (240 - 110)° = 130°.
Discussion:
43 comments Page 1 of 5.
Khem Raj said:
1 decade ago
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Abi said:
1 decade ago
Actually why they put 11/3hrs here ..can anyone clear my doubt
Palanivel said:
1 decade ago
For hour hand.
Convert min into hr keep 3 without change 3+(40/60)=11/3.
Convert min into hr keep 3 without change 3+(40/60)=11/3.
Shree said:
1 decade ago
Here we can use the formula:
theta(degree)=11(m)/2-30h
min(m)=40; hour(h)=3
theta=11(40)/2-30(3)
=130 degree
theta(degree)=11(m)/2-30h
min(m)=40; hour(h)=3
theta=11(40)/2-30(3)
=130 degree
Sri said:
1 decade ago
Even I have the sme doubt as Abi. I dint get how they took 11/3. Pls, pls, please any solve my problem.
Lalitha said:
1 decade ago
I also didn't understand how they have taken 11/3 hrs, and I could not understand how the hours hand angle has been traced.
Sushil said:
1 decade ago
Convert the whole time in hour.
3 hour+40 min=3h+(40/60) h=22/6=11/3 hour.
3 hour+40 min=3h+(40/60) h=22/6=11/3 hour.
Shoaib said:
1 decade ago
Sushil can you please explain it little bit more. Thanks.
Ajay Lakum said:
1 decade ago
Simple total min 3*60=180+40
220/60
22/6
11/3
This for hrs. so
360/12*11/3
30*11/3
= 110 ok (1)
now
for min.
360/60*40
60*40
= 240 (2)
now
(2-1)
240-110
ans. 130
220/60
22/6
11/3
This for hrs. so
360/12*11/3
30*11/3
= 110 ok (1)
now
for min.
360/60*40
60*40
= 240 (2)
now
(2-1)
240-110
ans. 130
Venki said:
1 decade ago
First consider for hours hand.
1hr of hand movement = 30 degrees.
Next for min hand.
5 min of min hand = 30 degrees.
Hence for angle between them subtract the total angle made by them.
1hr of hand movement = 30 degrees.
Next for min hand.
5 min of min hand = 30 degrees.
Hence for angle between them subtract the total angle made by them.
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