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:
120°
125°
130°
135°
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:
44 comments Page 4 of 5.

Azar said:   1 decade ago
While considering 3.40 we take 40 mins = 40/60 = 2/3.

So 3*2/3 = 11/3.

Sopan said:   1 decade ago
Whenever the angle b/w hands of clock is asked just apply the formula:

Angle= |30h -11/2(m)|.

Where h is hour and m is min.

Yuga said:   1 decade ago
Angle traced in 12 hours = 360 degrees.

Hence for, 3 hours and 40 minutes.

Convert 3 hours into minutes 3 hours* 60 minutes = 180 minutes.

Now, just add 40 minutes with 180 minutes total of 220 minutes.

Now divide 220/60 = 11/3.
(3)

Pavan said:   1 decade ago
Guys got it.

If time less than 30 min use 30h - 11.5m = theta ex. for 4.10,4.15.

If time is cross 30 min use 11.5m - 30h = theta ex-for 3.40,6.40'.

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.

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

Shoaib said:   1 decade ago
Sushil can you please explain it little bit more. Thanks.

Sushil said:   1 decade ago
Convert the whole time in hour.

3 hour+40 min=3h+(40/60) h=22/6=11/3 hour.

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.

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.


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