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:
43 comments Page 1 of 5.

Mehboob said:   2 years ago
Convert 3hours into min.
60 * 3 = 180.
Then add 40min.
40+180 = 220.

Then 1 hour is equal to 30degre.
30 * 3 = 90.

Then subtract 220 - 90= 130 will be the answer.
(6)

Mehboob said:   2 years ago
11/2 * 40 - 30 * 3 = 220 - 90=130ans.
(2)

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.
(2)

Aravind said:   4 years ago
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°
(2)

Akhil Goud said:   7 years ago
30*3-11/2*20 = 20°.

Vikas said:   8 years ago
Easy method to solve quickly.

40*11/2 = 220.

220-90 = 130.

Gaurav said:   8 years ago
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:   8 years ago
The formula ((11 * min)/2) - 30hr is fine .

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

Abi said:   8 years ago
How 11/3 hours?

AnonB said:   8 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?


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