Suppose you had 8 billiard balls, and one of them was slightly heavier, but the only way to tell was by putting it on a scale against another. What's the fewest number of times you'd have to use the scale to find the heavier ball?

• ANS IS : 2
  
  :- step 1 : take any 3 vs 3
  case 0 : they are equally weighted.
  case 1 : they are of unequal weight.
  
  for case 0: step 2 : compare remaining two to get the ans.
  case 1: step 2 : compare any two from the heavier side.
  
  now 3 case may arise
  case 0:any one of the two is heavy
  case 1:both r of equal wight so the the ball not weighted is heavier.
• 13 years agoHelpfull: Yes(29) No(0)
• 2 times,
  first keep two balls aside,
  measure 3 and 3 balls.
  condition1: if it is balanced then the heavy ball is in the two which were kept aside
  condition2: if any one part is heavey, then the heavy ball is among these 3.
  if condition 1 is met,scale the two balls which were kept aside, we'll get heavy ball.
  if second condition is met, then take the 3 balls, and keep one ball aside and scale the other two...
• 13 years agoHelpfull: Yes(18) No(0)
• 2 times
  scale any 3 ball with the 3 balls
  1- balence
  2- unbelence
  if 1 then heavy ball is one of the two ball which not scale
  if 2 then scale any two ball from heavier 3 ball
  know the heavy ball
• 12 years agoHelpfull: Yes(4) No(1)
• First of all make 2 groups of 4 balls.Remove lighter group after checking through. After that make 2 groups of 2 balls,repeat previous process.At 3rd time we will find the heavier ball.
• 12 years agoHelpfull: Yes(3) No(1)
• 3 Times scale should be used
  first time 4 one side and other the same then it shows heavier weight side then remove other
  second time take two of heavier side and keep them other side
  then we will find heavier side.
  third time Take heavier side two balls and keep them one on each side then we will find heavier wieght ball
• 13 years agoHelpfull: Yes(1) No(8)
• 3 times.
  1) first time 4 balls on each side, heavier side will down. Take those four balls and do the second time balance
  2) two on each side, heavier one will go down. take those two balls and balnce those two for third time by placing one on each side.
  3) This is which ball goes down is the heavier one
  
• 12 years agoHelpfull: Yes(1) No(2)
• divide the ball in groups of four...
  comparison 1:compare one against other
  one group will come out to be heavier
  comparison 2:divide the heavier group into balls of two
  compare one group with another
  one group will come out to be heavier
  comparison 3:now among the group compare one ball with another
  we will now come to know who is the heaviest ball
  so it will take 3 comparisons to find the heaviest ball..
• 12 years agoHelpfull: Yes(0) No(3)
• it depends on what are we using to scale their weight.... if we are using "Taraju" then it answer will be 3 times.
• 12 years agoHelpfull: Yes(0) No(5)