Aptitude - Clock - Discussion

Discussion :: Clock - General Questions (Q.No.10)

10. 

At 3:40, the hour hand and the minute hand of a clock form an angle of:

[A]. 120°
[B]. 125°
[C]. 130°
[D]. 135°

Answer: Option C

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°.


Khem Raj said: (Jun 10, 2010)  
I think this is the best site to prepare for any aptitude test.I will tell my friends abount this site who are unknown to this site.Because i was also unknown to this site upto this time.

Abi said: (Dec 14, 2010)  
Actually why they put 11/3hrs here ..can anyone clear my doubt

Palanivel said: (Dec 16, 2010)  
For hour hand.

Convert min into hr keep 3 without change 3+(40/60)=11/3.

Shree said: (Feb 13, 2011)  
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

Sri said: (Apr 27, 2011)  
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: (Jul 14, 2011)  
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: (Sep 11, 2011)  
Convert the whole time in hour.

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

Shoaib said: (Sep 16, 2011)  
Sushil can you please explain it little bit more. Thanks.

Ajay Lakum said: (Nov 19, 2011)  
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

Venki said: (Mar 9, 2013)  
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.

Pavan said: (Jun 28, 2013)  
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'.

Yuga said: (Jan 5, 2014)  
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.

Sopan said: (Feb 7, 2014)  
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.

Azar said: (Mar 16, 2014)  
While considering 3.40 we take 40 mins = 40/60 = 2/3.

So 3*2/3 = 11/3.

Kavitha said: (May 13, 2014)  
The Angle between hour and minute hand is |(X*30) - ((Y*11)/2)|.

Mohit said: (May 13, 2014)  
Always remember 1 minute = 4 degree. So what, consider time between hour hand and minute is 32.5minutes.

32.5minute*4 = 130 degree using this tip.

Priti said: (Jan 26, 2015)  
Formula: (+)(-)A = 30(H)-5.5(min).

= 30*3-5.5*40.

= 90-220.

= 130 degree answer.

Birendra said: (May 30, 2015)  
I don't understand Angle traced by it in 11 hrs = 360x11° = 110°.

Pallavi said: (Jun 5, 2015)  
Answer should be 140.

Angle between 3 & 40 is 160 degree + 40/2 = 140 degree.

Pallavi said: (Jun 5, 2015)  
Answer should be 140.

Angle between 3 & 40 is 160-40/2 = 140.

Subtraction because 3 (hour hand is approaching min hand).

Satish said: (Jul 24, 2015)  
Ok clear 30+(40/60) = 11/3.

Sayali said: (Dec 19, 2015)  
Solutions given by the site are bit difficult to understand or the approach is bit different, but with basics in your hand problems can be solved faster and don't always accept the system's solutions.

Philippine Science Student (Andrei) said: (Jan 30, 2016)  
Let x be the minute hand.

And x/12 the hour hand.

Since the hour hand moves 5 minutes spaces every 160 minutes.

That means it moves 1 minute space every 12 minutes. And also there are 360 degrees in a clock and 60 minutes.

That means a minute is equal to 6 degrees. It is mentioned that it's 40 minutes after 4.

So, let's first get the distance of the hands in minutes spaces.

= 40-(40/12)+15.

Since the time is after 4 the hour hand is 20 minutes after 12.

= 40-18 1/3.

= 21 2/3.

= 21 2/3 x 6 = 130.

It's 130 degrees apart.

Vikas said: (Feb 17, 2016)  
Easy method to solve quickly.

40*11/2 = 220.

220-90 = 130.

Gaurav said: (Apr 2, 2016)  
At 3:40,

Degree rotated by minute hand 6 deg/min = 40 * 6. ie: 240 deg.

Degree rotated by hour hand 0.5 deg/min = 0.5 * 40. ie: 20 deg + 90 deg (angle between hour hand 3 from 12).

Difference = 240 - (20+90) = 130 deg.

Raghavi said: (Jul 31, 2016)  
The formula ((11 * min)/2) - 30hr is fine .

But in some cases, why are subtracting the answer from 360?

Abi said: (Sep 11, 2016)  
How 11/3 hours?

Anonb said: (Oct 15, 2016)  
I think the answer should be less than 130 degrees.

Because, here minute hand is at "8" and hour hand is not exactly at "3". The hour hand is slightly shifted past "3". So, slightly reduction in degrees. But not exactly 130 degrees.

Am, I right?

Vijay said: (Mar 30, 2017)  
Can anyone tell me angle when it is 3:20?

Dheeraj said: (Aug 13, 2017)  
What is the Angle for 11:20? Please.

Akhil Goud said: (Aug 27, 2017)  
@Vijay.

3hrs 20 minuts
By simple formula
(30*h-11/2)=angle
30*3-11/2*20= 20
.
.
The answer is 20°.

Akhil Goud said: (Aug 28, 2017)  
Here, 30*3 - 11/2*20=20°.

Akhil Goud said: (Aug 28, 2017)  
30*3-11/2*20 = 20°.

Sangavi said: (Sep 4, 2017)  
3:20.

Formula is((11/2)*M-30(H)).

Here H=3 and M=20.then substitute in formula.

((11/2)*20-30(3)).
((110-90))=20.

The angle in between an hour and minute is 20 degree.

Bidur said: (Sep 5, 2017)  
@Dheeraj.

For angle between 11:20.
30*11-11/2*20=220 degree or (360-220=140degree for obtuse angle).

Shahid Kureshi said: (Oct 16, 2017)  
3 hour is 30*3=90 and minute 40*5.5,
=220 and different is 220-90=130.

Jitendra Rathore said: (Nov 28, 2017)  
130° is right answer. I agree.

Motiur Rahman said: (Mar 19, 2018)  
°=11/2 min.-30H.
So,11*40/2-30*3,
°= 220-90,
= 130(answer).

Arina said: (May 30, 2019)  
11/2*40 = 220.
30*3 = 90.
220-90 = 130.

Ziko said: (Mar 3, 2020)  
(11*minute-60*hour)/2
= (11*40-60*3)/2.
= 130.

Aravind said: (Oct 7, 2020)  
This will bring 140.

The hour hand will be between 3 to 4.
The minute hand will be at 8 because of 40 min.
8-7
7-6
6-5
5-4.

Totally 4*30 =120 degree.
And
Then hour hand will be 40/2 20 degrees.
120 + 20.
=> 140°

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