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.

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

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'.

Mohit said:   1 decade ago
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.

Pallavi said:   1 decade ago
Answer should be 140.

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

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

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.

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.

Shree said:   1 decade ago
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

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°.

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

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

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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