# Aptitude - Clock - Discussion

Discussion Forum : Clock - General Questions (Q.No. 8)
8.
The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:
10°
20°
Explanation:

 Angle traced by hour hand in 13 hrs = 360 x 13 ° = 130°. 3 12 3

 Angle traced by min. hand in 20 min. = 360 x 20 ° = 120°. 60

Required angle = (130 - 120)° = 10°.

Discussion:
77 comments Page 1 of 8.

Please give clear formula how 13/3 came?

Hi All,

We can write 4 hrs. 20 mins. as 13/3 hrs.

13/3 = 4 and (1/3)hrs

= 4.20 ( Here 1 hour = 60 mins, 1/3 of 60 is equal to 20).

Hope you understand guys. Have a nice day!

angle=(11/2)*min-30*hrs
apply this formula you can get the answer ......

we can convert it in hours as:
20min.=1/3hours
so total hours as 4+1/3=13/3

By common sense it is clear that in 20 minutes the minute hand will move 20*6=120degree and the hour hand will move20*(1/2)=10degree.
Clearly min hand will be at 20 and hour hand will be 10degree apart.
(1)

Apply the formula suggested by Reddilavan..
ie: Angle = 30Hr-(11/2)Min

In first can we take 12/3 instead of 13/3 ?

Thanks Sundar.

Karan bajaj said:   1 decade ago
Hi girls ! we can write 4.20 also as 13/3, we covert 20 min into hrs 20/60=1/3 and we add with4 hrs 4+1/3=13/3.

Have a nice day.