One the Planet, Oz, there are 8 days in a week – Sunday to Saturday and another day called Oz day. There are 36 hours in a day and each hours has 90 min while each minute has 60 sec. As on earth, hour hand covers the dial twice every day. Find the approximate angle between the hands of clock on Oz when time is 14.40 amradio_button_unchecked83radio_button_unchecked74radio_button_unchecked129radio_button_unchecked65

First, let's understand the clock on the planet Oz. It has 36 hours in a day, and each hour has 90 minutes. This means that the clock on Oz has 36*90 = 3240 minutes in a day.

The hour hand covers the dial twice every day, which means it moves 720 degrees in a day. Therefore, the speed of the hour hand is 720/3240 = 0.2222 degrees per minute.

The minute hand covers the dial 362 = 72 times every day, which means it moves 72360 = 25920 degrees in a day. Therefore, the speed of the minute hand is 25920/3240 = 8 degrees per minute.

At 14.40, the hour hand has moved 14.40*0.2222 = 3.2 degrees.

The minute hand has moved 40*8 = 320 degrees.

Therefore, the angle between the hands of the clock on Oz when the time is 14.40 is approximately 320 - 3.2 = 316.8 degrees. However, the angle between the hands of a clock is always considered the smaller angle, so we subtract this from 360, giving us 360 - 316.8 = 43.2 degrees.