There is a planet Oz in which there is 36 hrs in a day & 90 minutes in a hrs and 60 seconds in 1 minute it is having same pattern as our watch. Then what will be angle between hour hand and minute hand at 9:40?
a) 29
b) 12
c) 67
d) 98

• 36 hours a day means the clk will be of 18 hours.
  18 hours covers 360 deg
  Thus, 1 hour covers 20 deg
  9 hours covers 9*20=180 deg
  now,1 hour in 90 min
  thus, in 90min the hour hand goes 20deg
  so, for 1min hr hand goes 2/9deg
  for 40 min hour hand goes (2/9)*40deg=80/9deg=9deg(approx)
  thus hour hand covers total of 180+9=189deg
  now min hand covers=40*4=160deg
  (because, 90min=360deg
  1min=4deg)
  so angle between hour hand & min hand is 189-160=29deg
  ans:29
  
• 13 years agoHelpfull: Yes(42) No(2)
• Time is 9:40 means 85/9hours(since one hour is 90 minutes)
  Angle traced by hour hand is (85/9)*(360/18)(since 18 hours cover 360 degrees)=188.88degrees
  Angle traced by minute hand =40*360/90=160degrees
  So angle between hour hand and minute hand=188*88-160=28.88degrees or say 29 degrees
• 13 years agoHelpfull: Yes(2) No(1)