On 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 minutes while each minute has 60 seconds.As on the earth, the hour hand covers the dial twice everyday. Find the approximate angle between the hands of a clock on Oz when the time is 12:40am.
1> 111 degrees
2> 251 degrees
3> 71 degrees
4> 89 degrees

• As, we have 36 hour in a day. So, the dial has 18 hours(36/2=18) to cover daily twice. Now a dial has 360*. So, in one hour hand moves 360/18=20*.
  So, for 12 hour hand moves 12x20=240*.
  Now for minutes, hour hand moves 20/90
  for 40 minutes it moves 20/90x40=8.88*
  So for 12:40 hour hand moves 240+8.88=248.88*.
  
  Now, minute hand moves 90 minutes to complete one hour.
  for one minute it moves 360/90=4*
  for 40 minutes it moves 4x40=160*
  
  So, the angle between hour hand and minute hand is 248.88-160=88.88
  
  The ans is 89*
• 12 years agoHelpfull: Yes(43) No(1)
• 4> 89 degrees
  exp: as,we have 36 hour in a day , and hand covers the dial twice a day, so on watch , 18 hours are represented. So for one hour , hand move 360/18= 20*.so for 12 hour hand will be at 12*20=240*. And now for minutes ...In one hour=90 min, so minute hand moves in one minute, 360/90=4*. so in 40 minutes, it will be at 160*.and an hour hand will move slight more since it reaching up to 13 hours.so hour hand will be at 240+(20/9).so the angle made by hour hand and minute hand will be 89 degree approx ...its sure that will be near to 80 and more than 80 ..so answer is 89 degree..
• 12 years agoHelpfull: Yes(5) No(3)
• 89 degrees
• 12 years agoHelpfull: Yes(0) No(3)
• 89degrees
• 5 years agoHelpfull: Yes(0) No(0)