there are sixty markings on a clock, minutes hand was exactly on one of those markings. nine markings away from the minutes hand was hours hand. what could be the time.


A. 5:14 B.6:20 C.7:48 D.3:09

• given angle diff=9mins
  we know
  1min=6 deg
  therefore 9mins=9*6=54 deg
  so the angle diff must be 54 deg
  better to go through the options
  let us consider
  A.5hrs 14mins
  find angle
  angle traced by hour hand=(5*30)+(14/2)=157
  angle traced by minute hand=(14*6)=84
  angle diff=157-84=73
  similarly for option C.
  angle traced by hour hand=(7*30)+(48/2)=234
  angle traced by minute hand=(48*6)=288
  angle diff=(288-234)=54
  so option C
  
• 8 years agoHelpfull: Yes(17) No(0)
• C is the answer
  
• 8 years agoHelpfull: Yes(6) No(0)
• Short cut:if the hour hand points exactly on any marking then the minute hand would definitely be pointing to a minute value that is multiple of 12. Its easy then to check and get option c correct.
• 8 years agoHelpfull: Yes(6) No(0)
• See here,Consider all options rather than solving it.
  Logic: Minute markings hand we can directly count.
  But for hour hand:
  we know that,
  In 1 hr i.e 60 min, hour hand moves 5 positions.
  hence,it will take 12 min for 1 position.
  Now consider options:
  option c : 7:48
  we know that for minute hand 8 positions are required(From 8 to 9: 5 positions +3 positions from 9 )
  Remaining is for hour hand between 7 to 8 ??
  This can be judged by the above hour logic.
  48 min means the hour hand will move 4 positions(12* 4)
  Hence the hour hand will be 4 places from 7 that is (5 - 4) = 1 place from 8
  HENCE FINAL ANS IS : 8+1 = 9 positions ( c option)
  
  
• 8 years agoHelpfull: Yes(1) No(0)
• D becoz hrs hans is 9 min away from hour hnd
• 8 years agoHelpfull: Yes(0) No(6)
• ans is option c.
  1 hr=360 deg
  60 min =360 deg.
  1 min=6 deg.
  9 min=54 deg.
  use formula to find angle between min and hr hand of clock=>(30*h-11*m/2)
  using above formula->
  30*7-11*48/2=(-54)deg.
  ignoring -ve sign as it is for direction only .
  hence answer is 54 deg.
• 8 years agoHelpfull: Yes(0) No(0)
• ans C:
  
  as we know that 60 mins=360 deg
  
  means 1 min= 6 deg
  so 9 mins= 54 deg.
  
  so we have formula like ( 11/2*m)-(30*h); where h=hours hand time and m= mins hand time
  so take c option
  subst in that formula
  
  we got 54
  so 54=54;
  crect ans is c:
• 8 years agoHelpfull: Yes(0) No(0)
• Given angle diff=9mins
  we know
  1min=6 deg
  therefore 9mins=9*6=54 deg
  so the angle diff must be 54 deg
  better to go through the options
  and to find the angle there is one formula
  tita=11/2(m)-30(h)
  here consider m=mins,h=hours
  go through option c i.e...,7:48 -->7hours 48mins
  substitute this in above formula
  11/2(48)-30(7) we get 54 deg... :)
• 4 years agoHelpfull: Yes(0) No(0)
• Instead of calculating so much, just imagine a clock and do trial and error with the options. You will get the answer in a few minutes. The answer btw is: C) 7:48
• 4 years agoHelpfull: Yes(0) No(0)