# 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°
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.

Khem Raj said:   1 decade ago
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Actually why they put 11/3hrs here ..can anyone clear my doubt

For hour hand.

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

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

Even I have the sme doubt as Abi. I dint get how they took 11/3. Pls, pls, please any solve my problem.

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.

Convert the whole time in hour.

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

Sushil can you please explain it little bit more. Thanks.

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