Aptitude - Clock - Discussion

Ok clear 30+(40/60) = 11/3.

Solutions given by the site are bit difficult to understand or the approach is bit different, but with basics in your hand problems can be solved faster and don't always accept the system's solutions.

Let x be the minute hand.

And x/12 the hour hand.

Since the hour hand moves 5 minutes spaces every 160 minutes.

That means it moves 1 minute space every 12 minutes. And also there are 360 degrees in a clock and 60 minutes.

That means a minute is equal to 6 degrees. It is mentioned that it's 40 minutes after 4.

So, let's first get the distance of the hands in minutes spaces.

= 40-(40/12)+15.

Since the time is after 4 the hour hand is 20 minutes after 12.

= 40-18 1/3.

= 21 2/3.

= 21 2/3 x 6 = 130.

It's 130 degrees apart.

Easy method to solve quickly.

40*11/2 = 220.

220-90 = 130.

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.

The formula ((11 * min)/2) - 30hr is fine .

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

How 11/3 hours?

I think the answer should be less than 130 degrees.

Because, here minute hand is at "8" and hour hand is not exactly at "3". The hour hand is slightly shifted past "3". So, slightly reduction in degrees. But not exactly 130 degrees.

Am, I right?

Can anyone tell me angle when it is 3:20?

What is the Angle for 11:20? Please.