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Click hereðto 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. Step 3 If {8, 9} is heavier, then either 9 is heavy or 10 is light or 11 is light. If a < g or a > g, g is the odd one. If the two balls being weighed balance, the other not weighed is the lighter ball. If they are equal, the third ball is the heavier or lighter ball. Step 1. compare 2 groups of three balls. You cannot reduce 16 to 1 in two weighings. Split the balls into 4 groups of 3. A second comparison will determine whether the oddball is lighter or heavier than the other two balls. If they are not equal, the ball that matches the group as heavier or lighter, is the heavier or lighter ball. 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. ? By the way, although you now know which ball is odd, you may still not know if it's heavier or lighter. 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? From these three balls, discard one of them and choose the other two to weigh. If one is different, we don't know whether it is heavier or lighter than the others. 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¦ Otherwise, the third ball is the bomb. Then, you take the group which contains the bomb and weigh two of its balls against each other. Lv 7. 1- Divide them to three groups: 3, 3, and 2 balls. If either group of 3 balls is heavier, take 2 balls from the heavier side. There are twelve identical-looking balls, but one is either heavier or lighter than the other eleven. One of them is slightly lighter or heavier. 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). This time the balance may be used three times to determine if there is a unique coinâand if there is, to isolate it and determine its weight relative to the others. If not, then the third group contains the bomb. In this particular example we have 12 coins, one of them is forged and may be heavier or lighter, we donât known which. You have a balance and you can measure with it only 3 times to determine the different ball. 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. DETERMINE WHICH IS THE BALL 1-12 Submitted: 12 years ago. Total 2 tries. If the scale balances, the third ball is the oddball. 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). If the balls weigh the same then the third ball is the heavy one and we again have our answer. 2 weighings to find the slightly heavier ball. Case 1. if they are both equal in weight, compare the last 2 balls - one will be heavier. 0 0. Determine which side is heavier. 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" abc vs def 1) abc == def Weigh a against g. If a == g, h is the odd one. You have 12 balls all look identical (in shape, color etc.). The solution is simple for any # O. Can you help? 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. 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? Weigh {10} and {11}. You donât know that the defective one is heavier or lighter than other balls. \$2\$. Many bowling pro shops will let you try bowling balls of different weights to determine which one is best for you. There are 8 balls. Take 6 balls and split them into 2 groups of 3 balls each. if they balance, then the other ball is the lighter or heavier one, if not that is the one ! If one outweighs the other, it is the bomb. 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. You are given 4 balls, all equal in weight except for one that is either heavier or lighter. Use the scale to weigh the 2 groups. If one is heavier than the other, then you know that group contains the bomb. A third weighing, comparing ball 4 with a genuine one will tell whether it is lighter or heavier. 8 Balls One Is Heavier. 1 decade ago. Else the heavier one will tilt the balance on its side. Just weigh it with any other ball and figure out if it is lighter or heavier. RickB. The remaining one is defective and either heavier or lighter than the rest. case 2. Source(s): https://owly.im/a0fsj. We need to find it in no more than 3 weighings. Weigh {8, 9} and {10, 11} (Note: 8 is surely not fake) balance - If they balance, we know 12 is the fake one. You have 12 balls, 11 of which have the same weight. If one of the two balls is lighter than the other one being weighed, it is the lighter 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. 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. At one point the scale will balance. You can use a two sided balance system (not the electronic one). one ball is either heavier or lighter than the rest. Case B: the pans are not in balance. All of them look similar and feel the same. How will you find which ball is different? 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. Outcome 1.2: The balls do not balance. 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 are also given a two-pan balance to use. Step 1: Choose 6 balls at random, and put 3 on each side of the balance. Answer: Label the balls â¦ If the genuine balls are heavier, then the counterfeit is a light ball, and vice-versa. Now we know that one of the two balls is lighter or heavier than the rest. Then take the heavier group of four and divide them again, two on one side of the scale, and two on the other. Using one weighing we have successfully narrowed three groups down to one. 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. How many times if you don't know whether the ball is heavier or lighter? 8 balls with him. However, one of the balls is heavier or lighter. 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'. Weigh abd against egh. The other ball is either heavier or lighter. 8 balls, you don't know if the odd one is heavier/lighter. You have 9 billiard balls, and a weighing balance. You have 12 balls identical in size and appearance but 1 is an odd weight (could be either light or heavy). If a group is known to be heavier or lighter, it can be determined by weighing one ball against another. If they are equal in weight, the other ball in that group is the heavy one. . You have 12 identical balls. - 7179951 The CIA has only enough time for TWO weighings before the match. 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. Now you know the heavy ball is one of two possibilities. g and h are normal balls. If they balance, 9 is fake (heavier). 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. 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? Arash. Clear the scale and place one of the 2 balls in one scale and another ball from the remaining group on the other. 6 - If one of the balls is heavier then we have our answer. 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. 8 balls weigh the same. Which one â¦ Weighing Pool Balls Puzzle . Go to Step 2a. Outcome 1.1: The balls balance. 1 decade ago. There are 12 balls, all of equal size. Separating Heavier from the Lighter Balls. You need to find that one using no more than some specified number of weighings. One more trial will identify which balls â¦ If the two balls balance each other, then the heavier one is discarded third balls. 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\$). But I'm interested in a variation of this problem. In this case, the counterfeit is one of 1, 2, and 3. All of them have same weight except one defective ball. 12 golf ball riddle 12 golf balls all appear same-one weighs slightly different-heavier or lighter scales and 3 uses. 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. Is it possible with only 3?if yes how do we do it?thanks! 0 0. 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. 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