# Aptitude - Clock - Discussion

Discussion Forum : Clock - General Questions (Q.No. 9)
9.
At what angle the hands of a clock are inclined at 15 minutes past 5?
 58 1 ° 2
64°
 67 1 ° 2
 72 1 ° 2
Explanation:

 Angle traced by hour hand in 21 hrs = 360 x 21 ° = 157 1 ° 4 12 4 2

 Angle traced by min. hand in 15 min. = 360 x 15 ° = 90°. 60

 Required angle = 157 1 ° - 90° = 67 1 ° 2 2

Discussion:
41 comments Page 1 of 5.

We can use the formula

Theta= (11(Minutes)/2)-30(Hour)

How came 21/4?

21/4=5.25
0.25 is 1/4 part of 60min. i.e. 15min

Hare ram said:   1 decade ago
(11/2)*15-30*5=67.5

I think (30*Hrs)-(11/2)*Mins is the correct formula for getting this answer.

Please explain how this formula came?

@ rekha

5 hrs and 15 min so

5+15/60=5+1/4

20+1/4=21/4

Please explain how we are getting 21/4

If 15 min is 4th part of 60 min.

then how 21 comes.

Neha Mishra said:   1 decade ago
5:15, means hour hand is on 5 and minute hand is on 3.

Now, 360/12=30.

Angle between any two numbers on the clock is 30 degrees.

Now angle between 3 and 6 is 90 degree.

Angle between 6 and 5 is 30 degree.

Thus 90-30=60;.

Angle between 5 and 3 is approximately 60 degrees.