In this case, the counterfeit is one of 1, 2, and 3. If the two balls being weighed balance, the other not weighed is the lighter ball. Outcome 1.1: The balls balance. If one of the two balls is lighter than the other one being weighed, it is the lighter ball. A third weighing, comparing ball 4 with a genuine one will tell whether it is lighter or heavier. one ball is either heavier or lighter than the rest. Answer: Label the balls … A second comparison will determine whether the oddball is lighter or heavier than the other two balls. 1 decade ago. Many bowling pro shops will let you try bowling balls of different weights to determine which one is best for you. If one is heavier than the other, then you know that group contains the bomb. Arash. If the balls weigh the same then the third ball is the heavy one and we again have our answer. If they are equal in weight, the other ball in that group is the heavy one. If they are not equal, the ball that matches the group as heavier or lighter, is the heavier or lighter ball. 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. 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. If a < g or a > g, g is the odd one. $2$. If they balance, 9 is fake (heavier). ? Split the balls into 4 groups of 3. Go to Step 2a. 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? In this particular example we have 12 coins, one of them is forged and may be heavier or lighter, we don’t known which. 0 0. 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. The remaining one is defective and either heavier or lighter than the rest. Otherwise, the third ball is the bomb. You can use a two sided balance system (not the electronic one). Weighing Pool Balls Puzzle . There are 8 balls. But I'm interested in a variation of this problem. One of them is slightly lighter or heavier. Case B: the pans are not in balance. You have 9 billiard balls, and a weighing balance. If either group of 3 balls is heavier, take 2 balls from the heavier side. 0 0. Then take the heavier group of four and divide them again, two on one side of the scale, and two on the other. By the way, although you now know which ball is odd, you may still not know if it's heavier or lighter. 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. You are also given a two-pan balance to use. If the scale balances, the third ball is the oddball. You have 12 balls all look identical (in shape, color etc.). Lv 7. However, one of the balls is heavier or lighter. 1 decade ago. 8 balls with him. Is it possible with only 3?if yes how do we do it?thanks! How will you find which ball is different? The other ball is either heavier or lighter. 8 balls weigh the same. Weigh {10} and {11}. abc vs def 1) abc == def Weigh a against g. If a == g, h is the odd one. 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? if they balance, then the other ball is the lighter or heavier one, if not that is the one ! The CIA has only enough time for TWO weighings before the match. Clear the scale and place one of the 2 balls in one scale and another ball from the remaining group on the other. DETERMINE WHICH IS THE BALL 1-12 Submitted: 12 years ago. 8 Balls One Is Heavier. You cannot reduce 16 to 1 in two weighings. You have 12 balls, 11 of which have the same weight. 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. From these three balls, discard one of them and choose the other two to weigh. 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 don’t know that the defective one is heavier or lighter than other balls. 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" Then, you take the group which contains the bomb and weigh two of its balls against each other. If the genuine balls are heavier, then the counterfeit is a light ball, and vice-versa. If a group is known to be heavier or lighter, it can be determined by weighing one ball against another. 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. 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). If one is different, we don't know whether it is heavier or lighter than the others. There are twelve identical-looking balls, but one is either heavier or lighter than the other eleven. g and h are normal balls. Weigh abd against egh. Weigh {8, 9} and {10, 11} (Note: 8 is surely not fake) balance - If they balance, we know 12 is the fake one. If one outweighs the other, it is the bomb. - 7179951 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. 2 weighings to find the slightly heavier ball. 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 $=y$). There are 12 balls, all of equal size. A terrorist has implanted one of the balls with explosives, but they add such a small amount that no one can tell the difference. 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? Just weigh it with any other ball and figure out if it is lighter or heavier. 12 golf ball riddle 12 golf balls all appear same-one weighs slightly different-heavier or lighter scales and 3 uses. 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. All of them have same weight except one defective ball. 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). 6 - If one of the balls is heavier then we have our answer. How many times if you don't know whether the ball is heavier or lighter? 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 … Source(s): https://owly.im/a0fsj. case 2. 8 balls, you don't know if the odd one is heavier/lighter. Which one … At one point the scale will balance. Else the heavier one will tilt the balance on its side. Separating Heavier from the Lighter Balls. Step 3 If {8, 9} is heavier, then either 9 is heavy or 10 is light or 11 is light. You have 12 identical balls. You have 12 balls identical in size and appearance but 1 is an odd weight (could be either light or heavy). . Step 1: Choose 6 balls at random, and put 3 on each side of the balance. Total 2 tries. Using one weighing we have successfully narrowed three groups down to one. If the two balls balance each other, then the heavier one is discarded third balls. Now you know the heavy ball is one of two possibilities. This time the balance may be used three times to determine if there is a unique coin—and if there is, to isolate it and determine its weight relative to the others. You have a balance and you can measure with it only 3 times to determine the different ball. Determine which side is heavier. Now we know that one of the two balls is lighter or heavier than the rest. 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'. Case 1. if they are both equal in weight, compare the last 2 balls - one will be heavier. Step 1. compare 2 groups of three balls. RickB. 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 need to find that one using no more than some specified number of weighings. Click here👆to get an answer to your question ️ 15.Two balls of different masses (one lighter and other heavier) are thrown vertically upward with the same initial speed. 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. 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. 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. 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