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 2 of 5.

Raghavi said:   9 years ago
The formula ((11 * min)/2) - 30hr is fine .

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

Abi said:   9 years ago
How 11/3 hours?

AnonB said:   9 years ago
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:   8 years ago
Can anyone tell me angle when it is 3:20?

Dheeraj said:   8 years ago
What is the Angle for 11:20? Please.

Akhil Goud said:   8 years ago
@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:   8 years ago
30*3-11/2*20 = 20°.

Bidur said:   8 years ago
@Dheeraj.

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

Philippine Science Student (Andrei) said:   10 years ago
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.

Sangavi said:   8 years ago
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.


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