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.
(9)

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)

Arina said:   5 years ago
11/2*40 = 220.
30*3 = 90.
220-90 = 130.
(1)

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

Vikas said:   9 years ago
Easy method to solve quickly.

40*11/2 = 220.

220-90 = 130.

Gaurav said:   9 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?


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