1. At what time between 6 and 7 are the hands of the clock coincide?
• a. 6:13
• b. 6:36
• c. 6:32 8;/11
• d. 6:35 8/11

• the formula to calculate angle is angle=(11/2)*mins-(30*hours)
  if they coincide angle will be 0 degree
  so 0=(11/2)*mins-(30*6)
  solving this we get 6hrs 32(8/11)mins they coincide
• 11 years agoHelpfull: Yes(24) No(3)
• Here is a short cut.
  Let t = time required after 6:00.
  The rotational speed of hour hand is 30 degrees/hr;
  The rotational speed of minute hand is 360 degrees/hr.
  So, 30t + 180 = 360t
  on solving t = 6/11 hrs ~ 6:32 8;/11
  
  So ans c. 6:32 8;/11
• 11 years agoHelpfull: Yes(17) No(2)
• Hour and Minute hand Overlap after 65 min(approx)
  0000 (12:00 AM)
  0105 (01:05 AM)
  0211 (02:11 AM)
  0316 (03:16 AM)
  0422 (04:22 AM)
  0527 (05:27 AM)
  0633 (06:33 AM)
  0738 (07:38 AM)
  0844 (08:44 AM)
  0949 (09:49 AM)
  1055 (10:55 AM)
  1200 (12:00 PM)
  1305 (01:05 PM)
  1411 (02:11 PM)
  1516 (03:16 PM)
  1622 (04:22 PM)
  1727 (05:27 PM)
  1833 (06:33 PM)
  1938 (07:38 PM)
  2044 (08:44 PM)
  2149 (09:49 PM)
  2255 (10:55 PM)
  
  Note:Alternative there is increase of 1 min after 2 hours from 12 to 12 !!!
• 11 years agoHelpfull: Yes(7) No(1)
• Let after t minutes they will be coincide .
  then
  1. angle between hour and minute hand clock at 6 clock = 6* 30 = 180
  2. in t minutes min. hand over the hour hand = t* 5.5 = 5.5t
  
  in coincide angle between them zero so = 180-5.5t =0
  ..................................................................t= 32.7 min . ..... answer is 6:32.7 min
• 9 years agoHelpfull: Yes(1) No(0)
• in 1h minute hand covers=360 degree
  in 1 h hour hand covers=30 degree
  =>in 1 min minute hand covers=60 degree
  =>in 1 min hour hand covers=0.5 degree
  so the two hands will obviously meet after 6.30
  so at 6.30 hour hand will be 15 degree(0.5 degree*30 min=15 degree) ahead of minute hand
  So we assume that they meet after x minutes after 6.30 then
  15+0.5x=6x
  =>x=2.7
  =>they meet at 6.32.7 precisely or 6.32
  
• 9 years agoHelpfull: Yes(1) No(0)
• option d 6:35 8/11
• 8 years agoHelpfull: Yes(1) No(3)
• 6 hr 32.7272 min
• 11 years agoHelpfull: Yes(0) No(0)
• Ans:-c
  i had solved
  
• 9 years agoHelpfull: Yes(0) No(0)
• angle is calculated by angle=(11/2)m-30*h , where m=minutes,h=hours
  
  Now if the,hour and minute hands coincide then angle will be 0 degree
  
  Hence,by using above formula and putting angle=0 degree and h=6 ,we get
  6 :32 8;/11 => ANS(C)
• 8 years agoHelpfull: Yes(0) No(0)
• As we know for every 1 hour thte hands coincide at 1:05:5/11
  As per the ques it is multiplied by 6 so 6:30:30/11
  so we have 6:32:8/11
• 7 years agoHelpfull: Yes(0) No(0)
• can u explain y u are taking 10 a+b or 10 x+y in L.H.S
• 7 years agoHelpfull: Yes(0) No(0)
• Ans. Total =360
  For hour = 360/12 = /hr
  For Minute = full rotation = /hr
  Let the line is 't' , for 6 = 6*30=
  30 t + 180=360 t
  330t = 180
  t = 180/330
  t = 6/11 hr 6/11*60=360/11=32
  Ans. is 6:32
• 7 years agoHelpfull: Yes(0) No(0)
• let us take angle 0 degrees because both hands are coincide
  x=(11/2)m-30h
  0=(11/2)m-30(6)
  m=32 8/11
  time=6:32 8/11
• 5 years agoHelpfull: Yes(0) No(0)
• Here is a short formula for every coinside questions -> (t*60)/11
  So, t= small hour (in this question, it is 6)
  
  t*60/11 = 6*60/11 = 360/11 = 32,8/11
  So the answer is = 6 hr 32,8/11
• 5 years agoHelpfull: Yes(0) No(0)