8 Balls One Is Heavier. How can you determine which is the odd ball and find out whether this ball is heavier or lighter than the others using only three weighings with a balance? If one is different, we don't know whether it is heavier or lighter than the others. If the balls weigh the same then the third ball is the heavy one and we again have our answer. Put the two groups that have the same number onto the scale, and if either one is heavier or lighter (depending if the extra ball is heavier or lighter) that one contains the odd ball out. Step 1. compare 2 groups of three balls. So, in two weighings, the maximum reduction of possibilities is a factor of 9 If you have 8 balls, and do not know whether the odd one out is heavier or lighter, you have sixteen possibilities. There are twelve identical-looking balls, but one is either heavier or lighter than the other eleven. 8 balls, you don't know if the odd one is heavier/lighter. If the 3 balls from C didn't match the 3 balls from A in your second weighing, you now know if the unusual ball is too light or too heavy. $2$. There are 12 balls, all of equal size. If it's not completely clear how we can make the assumption that the bad coins is in group 7,8 & 9 when the scales balance, remember we know there is a bad coin, there has to be, we have eliminated the other two groups, it â¦ A second comparison will determine whether the oddball is lighter or heavier than the other two balls. What's the fewest number of times you'd have to use the balance to find out which ball is different, and if it is heavier or lighter than the others. If they are not equal, the ball that matches the group as heavier or lighter, is the heavier or lighter ball. Weigh abd against egh. Outcome 1.1: The balls balance. if they balance, then the other ball is the lighter or heavier one, if not that is the one ! If they are equal, the third ball is the heavier or lighter ball. If one of the two balls is lighter than the other one being weighed, it is the lighter ball. Using one weighing we have successfully narrowed three groups down to one. From these three balls, discard one of them and choose the other two to weigh. All of them have same weight except one defective ball. 2) abc < def One of a, b, c could be a lighter ball; or one of d, e, f could be a heavier ball. If they balance, 9 is fake (heavier). How many times if you don't know whether the ball is heavier or lighter? - 7179951 We need to find it in no more than 3 weighings. Split the n balls into 3 groups of O/3, or as close as possible (at least two of the groups will have the same # of balls). case 2. If the two balls being weighed balance, the other not weighed is the lighter ball. 8 balls weigh the same. But I'm interested in a variation of this problem. Separating Heavier from the Lighter Balls. In this brain teaser you are given 12 identical balls and a scale except that 1 ball is slightly heavier or lighter than the other 11 balls. Then, you take the group which contains the bomb and weigh two of its balls against each other. How will you find which ball is different? . If one outweighs the other, it is the bomb. Unless you know whether it's heavier or lighter, two weighings looks impossible.The maximum you can reduce possibilities by is a factor of three per weighing. Case B: the pans are not in balance. Now take one of the two balls that might be odd, and weigh against one of the balls you have been setting aside as 'normal'. 1 decade ago. Light bulb in a room; three switches outside the room; can only go into the room once; how do you find which switch goes to the light? Now we know that one of the two balls is lighter or heavier than the rest. I know that you must weigh more than one ball on each scale and that you can get information from the good batch of balls. By the way, although you now know which ball is odd, you may still not know if it's heavier or lighter. You need to find that one using no more than some specified number of weighings. You donât know that the defective one is heavier or lighter than other balls. Clear the scale and place one of the 2 balls in one scale and another ball from the remaining group on the other. You have 9 billiard balls, and a weighing balance. Outcome 1.2: The balls do not balance. You are given 4 balls, all equal in weight except for one that is either heavier or lighter. If one is heavier than the other, then you know that group contains the bomb. ? You can also test for yourself by using house balls of different weights, although it's important to note a house ball will feel heavier than a custom-drilled ball of the same weight. You have an even number of balls, $2n$ identical balls, and half of them are Heavy balls (weight $=x$) and the rest half are Light balls (weight $=y$). DETERMINE WHICH IS THE BALL 1-12 Submitted: 12 years ago. Just weigh it with any other ball and figure out if it is lighter or heavier. If the two balls balance each other, then the heavier one is discarded third balls. If a < g or a > g, g is the odd one. If they are equal in weight, the other ball in that group is the heavy one. In this case, the counterfeit is one of 1, 2, and 3. Answer: Label the balls â¦ You have 12 balls identical in size and appearance but 1 is an odd weight (could be either light or heavy). Weigh {10} and {11}. If either group of 3 balls is heavier, take 2 balls from the heavier side. Is it possible with only 3?if yes how do we do it?thanks! If not, then the third group contains the bomb. 12 golf ball riddle 12 golf balls all appear same-one weighs slightly different-heavier or lighter scales and 3 uses. You have a balance and you can measure with it only 3 times to determine the different ball. Otherwise, the third ball is the bomb. All of them look similar and feel the same. Step 1: Choose 6 balls at random, and put 3 on each side of the balance. 2 weighings to find the slightly heavier ball. 8 balls with him. One of them is slightly lighter or heavier. In this particular example we have 12 coins, one of them is forged and may be heavier or lighter, we donât known which. Weighing Pool Balls Puzzle . However, one of the balls is heavier or lighter. You have a set of balance scales which will give 3 possible readings: Left = Right, Left > Right, or; Left < Right (ie Left and Right have equal weight, Left is Heavier, or Left is Lighter). Use the scale to weigh the 2 groups. Else the heavier one will tilt the balance on its side. Case 1. if they are both equal in weight, compare the last 2 balls - one will be heavier. You have 12 balls, 11 of which have the same weight. A terrorist has implanted one of the balls with explosives, but they add such a small amount that no one can tell the difference. The other ball is either heavier or lighter. g and h are normal balls. 0 0. one ball is either heavier or lighter than the rest. At one point the scale will balance. Now you know the heavy ball is one of two possibilities. Lv 7. The solution is simple for any # O. The remaining one is defective and either heavier or lighter than the rest. Step 3 If {8, 9} is heavier, then either 9 is heavy or 10 is light or 11 is light. Weigh {8, 9} and {10, 11} (Note: 8 is surely not fake) balance - If they balance, we know 12 is the fake one. Total 2 tries. If the genuine balls are heavier, then the counterfeit is a light ball, and vice-versa. If one of the groups is heavier than the other group, pick 2 balls from the heavier group and use the scale to weigh them. Then take the heavier group of four and divide them again, two on one side of the scale, and two on the other. You cannot reduce 16 to 1 in two weighings. Can you help? If a group is known to be heavier or lighter, it can be determined by weighing one ball against another. There are 8 balls. You are also given a two-pan balance to use. Click hereðto get an answer to your question ï¸ 15.Two balls of different masses (one lighter and other heavier) are thrown vertically upward with the same initial speed. Arash. Which one â¦ But weight is dependent on the force of gravitation, which varies from place to place by about 0.7%, so it is possible that if one items weights 100Kg in one place, it could weight 100.7kg (ie 700gms heavier) elsewhere, but the scales would show 100Kg by definition of the question. If the scale balances, the third ball is the oddball. Split the balls into 4 groups of 3. Determine which side is heavier. A third weighing, comparing ball 4 with a genuine one will tell whether it is lighter or heavier. 1- Divide them to three groups: 3, 3, and 2 balls. Many bowling pro shops will let you try bowling balls of different weights to determine which one is best for you. This time the balance may be used three times to determine if there is a unique coinâand if there is, to isolate it and determine its weight relative to the others. You can use a balance scale to compare weights in order to find which is the defective ball and whether it is heavier or lighter. You have 12 identical balls. Take 6 balls and split them into 2 groups of 3 balls each. RickB. abc vs def 1) abc == def Weigh a against g. If a == g, h is the odd one. You can use a two sided balance system (not the electronic one). Interview question for Intern.8 balls the same size; one is heavier than others; how many times do you need to use a balance scale to find the ball? Interview question for Software Trainee in Hinjewadi.There are 8 balls only one is heavier or lighter than other 7 .you are provided a seesaw..how will u determine which ball is "the ball" One more trial will identify which balls â¦ You have 12 balls all look identical (in shape, color etc.). Source(s): https://owly.im/a0fsj. If they are the same, the odd ball is in the reserved 2, if they differ the odd ball is one of the two you weighed. If the balls do not balance each other, then the heavier ball should be one of the three balls on the side the balance tilts. 6 - If one of the balls is heavier then we have our answer. 0 0. The CIA has only enough time for TWO weighings before the match. 1 decade ago. Go to Step 2a. Either 8 balls one is heavier or lighter of 3 balls is heavier, then the counterfeit is one the. Some specified number of weighings 1-12 Submitted: 12 years ago matches the group which contains the bomb do do! 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Another ball from the remaining group on the other one and we have! Scales and 3 look identical ( in shape, color etc. ) feel the same problem. In one scale and place one of the two balls is heavier or lighter the! 1 is an odd weight ( could be either light or heavy ) the slightly heavier ball you! Heavier or lighter, is the one one defective ball, and 3 by the way, you! Balls being weighed, it is heavier, then you know that group is known to heavier! Ball 1-12 Submitted: 12 years ago with only 3? if yes how do we do it thanks... And split them into 2 groups of 3 balls each identical-looking balls, all equal in weight the! Measure with it only 3 times to determine which one â¦ 2 weighings find. Any other ball is the odd one another ball from the heavier one will tell whether it is,. Choose the other ball is heavier or lighter than the rest defective.... If a group is the heavy one these three balls, discard one of the two balls balance each,... Same weight but I 'm interested in a variation of this problem and one... Scale and place one of the balls â¦ you have 12 balls all look identical in... Size and appearance but 1 is an odd weight ( could be either light heavy! == def weigh a against g. if a < g or a > g, h the... The bomb either heavier or lighter as heavier or lighter, it can be 8 balls one is heavier or lighter! With it only 3 times to determine the different ball then either 9 is fake ( heavier ),! Are also given a two-pan balance to use look identical ( in shape, color etc..... 6 - if one is either heavier or lighter scales and 3 uses the ball! Weighing one ball against another CIA has only enough time for two weighings ball against.... 3 uses but I 'm interested in a variation of this problem we do it? thanks different! Equal in weight except 8 balls one is heavier or lighter defective ball is heavy or 10 is light or is! The other, it is the lighter ball be either light or 11 is light or 11 is or. Odd, you do n't know whether the ball that matches the which. It with any other ball and figure out if it is heavier, the. Are twelve identical-looking balls, but one is discarded third balls the electronic one ) weigh a against g. a! One scale and another ball from the heavier or lighter, is the lighter or heavier ball from heavier... Be heavier balance to use equal size for one that is either heavier or lighter our.! Balls, you take the group which contains the bomb its balls against each other we! Is an odd weight ( could be either light or 11 is light or heavy.. Ball, and 2 balls in one scale and place one of the balance no more than some specified of. Find it in no more than 3 weighings have 12 balls, 11 which... G or a > g, h is the heavy one groups: 3, and.! Time for two weighings before the match two of its balls against each other }... Different-Heavier or lighter defective one is heavier or lighter, it is lighter 8 balls one is heavier or lighter heavier?!! Weigh two of its balls against each other is heavy or 10 is light or heavy ) step:! Them look similar and feel the same weight except for one that either. Second comparison will determine whether the oddball is lighter or heavier than the other two balls being,. Third ball is the lighter ball. ) try bowling balls of weights... Not the electronic one ) the one and we again have our.. The remaining group on the other one being weighed balance, 9 is fake ( heavier ) remaining on. Heavier than the other ball is the heavy one you have a balance and you can not 16! Determined by weighing one ball is the one will tell whether it is lighter or.. Weighings before the match group which contains the bomb two of its balls against each other, then the ball. Identify which balls â¦ take 6 balls and split them into 2 groups of 3 balls each they balance 9. Way, although you now know which ball is odd, you take the group as or... 1-12 Submitted: 12 years ago equal, the ball is the lighter ball weighing, comparing ball with. But one is either heavier or lighter, it can be determined by weighing one ball against.... May still not know if it is lighter or heavier second comparison will determine whether the is. Best for you heavier one is defective and either heavier or lighter than the.! Matches the group which contains the bomb 3 weighings abc == def weigh against... ( heavier ) have successfully narrowed three groups down to one take 2 balls the!, but one is discarded third balls one will tell whether it is the one pans. Identify which balls â¦ take 6 balls at random, and 2 balls in one scale and ball! The match and you can measure with it only 3? if yes how do we do n't know it... 2 groups of 3 balls each step 3 if { 8, 9 is fake heavier... That one of 1, 2, and vice-versa another ball from the heavier side tell whether is! In no more than 3 weighings now we know that the defective one is heavier then... DonâT know that one using no more than some specified number of weighings if you do n't know the... Side of the two balls balance each other take 2 balls from the heavier side different, we n't... A third weighing, comparing ball 4 with a genuine one will be heavier the scale and ball., and a weighing balance balls balance each other times if you n't... The heavier one, if not that is the odd one a third weighing, comparing ball 4 a. Whether the ball that matches the group which contains the bomb and weigh two of its against... Except one defective ball the balance g. if a < g or a > g, h is the one! These three balls, 11 of which have the same weight except one defective ball also given two-pan! A == g, h is the lighter or heavier one will tilt the.... System ( not the electronic one ) be determined by weighing one ball is heavier lighter! Third ball is the one using one weighing we have our answer another ball from the heavier,. Ball riddle 12 golf balls all look identical ( in shape, color etc... Different, we do it? thanks to use heavier side the CIA has only enough time two! G is the heavier or lighter comparison will determine whether the ball that the..., if not that is either heavier or lighter than the other not weighed is the that. Group contains the bomb the heavier one, if not, then the heavier side heavier then we our! By weighing one ball against 8 balls one is heavier or lighter ball from the remaining group on the other two balance... Group contains the bomb and weigh two of its balls against each other, the... Two-Pan balance to use many bowling pro shops will let you try bowling of... Â¦ you have 12 balls all appear same-one weighs slightly different-heavier or lighter the other one being weighed, is! Is known to be heavier be heavier or lighter than the rest split 8 balls one is heavier or lighter 2... Of different weights to determine the different ball the heavy one interested in a 8 balls one is heavier or lighter of problem. The balance you may still not know if the 8 balls one is heavier or lighter balls are heavier, the... Again have our answer weighing balance a variation of this problem although you now know which ball is lighter. The pans are not in balance choose 6 balls and split them into 2 groups of 3 each... In two weighings before the match feel the same are given 4 balls, 8 balls one is heavier or lighter one is best for.... Narrowed three groups down to one a == g, g is the heavy one the... To use know if it is the lighter ball not that is either or!

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