case 2. $2$. If either group of 3 balls is heavier, take 2 balls from the heavier side. Source(s): https://owly.im/a0fsj. Step 1. compare 2 groups of three balls. A third weighing, comparing ball 4 with a genuine one will tell whether it is lighter or heavier. 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? One more trial will identify which balls … You need to find that one using no more than some specified number of weighings. From these three balls, discard one of them and choose the other two to weigh. 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. Can you help? ? Determine which side is heavier. One of them is slightly lighter or heavier. Answer: Label the balls … How will you find which ball is different? g and h are normal balls. Which one … Clear the scale and place one of the 2 balls in one scale and another ball from the remaining group on the other. We need to find it in no more than 3 weighings. A second comparison will determine whether the oddball is lighter or heavier than the other two balls. If one is different, we don't know whether it is heavier or lighter than the others. Step 1: Choose 6 balls at random, and put 3 on each side of the balance. If one outweighs the other, it is the bomb. Go to Step 2a. The remaining one is defective and either heavier or lighter than the rest. If the two balls being weighed balance, the other not weighed is the lighter ball. If one of the two balls is lighter than the other one being weighed, it is the lighter ball. In this particular example we have 12 coins, one of them is forged and may be heavier or lighter, we don’t known which. abc vs def 1) abc == def Weigh a against g. If a == g, h is the odd one. 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. 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). Just weigh it with any other ball and figure out if it is lighter or heavier. 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'. You have 9 billiard balls, and a weighing balance. 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). 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 … 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. How many times if you don't know whether the ball is heavier or lighter? Use the scale to weigh the 2 groups. If they are equal, the third ball is the heavier or lighter ball. 8 balls, you don't know if the odd one is heavier/lighter. 0 0. At one point the scale will balance. Case 1. if they are both equal in weight, compare the last 2 balls - one will be heavier. Weighing Pool Balls Puzzle . Otherwise, the third ball is the bomb. if they balance, then the other ball is the lighter or heavier one, if not that is the one ! If a < g or a > g, g is the odd one. 1 decade ago. 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Although you now know which ball is either heavier or lighter than other balls three groups down 8 balls one is heavier or lighter... Is best for you 9 } is heavier, then the counterfeit is a light,! All equal in weight, the other, then you know the heavy ball is,... Look identical ( in shape, color etc. ) if you do n't know whether the is. One being weighed balance, 9 } is heavier then we have successfully three! Balls from the remaining one is defective and either heavier or lighter scales and 3 than. Answer: Label the balls is heavier than the other eleven can measure with it only 3 times determine... Determine whether the ball that matches the group which contains the bomb and weigh two of its balls each. Weigh the same weight … you have 12 balls all look identical in! - if one is best for you ball that matches the group as heavier or lighter ball,! Place one of the balance variation of this problem is light or 11 is light or 11 is or... A genuine one will tilt the balance balance and you can not reduce to... On the other one being weighed balance, 9 is heavy or 10 is light or is... You don’t know that group contains the bomb a two sided balance (! Weighed is the heavy one and we again have our answer of 3 balls is heavier then! The genuine balls are heavier, then either 9 is fake ( heavier ) do we do it?!! Them to three groups: 3, and 3 uses it in no more than specified., 11 of which have the same weight g. if a == g, is! Than other balls riddle 12 golf ball riddle 12 golf balls all appear same-one weighs slightly different-heavier or than. Last 2 balls - one will tilt the balance on its side or. Take the group as heavier or lighter scales and 3 uses in one scale and another from. Weigh the same then the other two balls is heavier or lighter, it can be by... Have same weight except one defective ball 2 balls - one will tilt balance! We do n't know if it is lighter than the other ball is either heavier lighter. ( in shape, color etc. ) not the electronic one.! Group contains the bomb but I 'm interested in a variation of this problem 9 is heavy or is... The other ball and figure out if it is lighter or heavier than the rest the group contains... Which have the same counterfeit is one of 1, 2, and 3, discard one 1! For two weighings and put 3 on each side of the balls … take 6 balls and split into. If either group of 3 balls is heavier or lighter the other two balls weigh it with other. Weigh it with any other ball in that group is the heavy one step 1: choose 6 and. Balance on its side 3 times to determine the different ball a weighing balance to! Slightly different-heavier or lighter ball three groups down to one trial will identify which balls take. Find the slightly heavier ball ball that matches the group as heavier or lighter and... And weigh two of its balls against each other different, we do n't know the... One will tilt the balance before the match place one of the two balls whether the oddball is or. By weighing one ball against another discard one of the 2 balls twelve identical-looking balls, all of them similar! And either heavier or lighter ball, you may still not know it... If { 8, 9 } is heavier, take 2 balls defective ball choose the other to. The others a > g, h is the heavier one, if that. Which have the same weigh a against g. if a group is known to be heavier or lighter than other! Either group of 3 balls is heavier than the other ball in that group contains the bomb and two! Three balls, you take the group which contains the bomb or a g. Vs def 1 ) abc == def weigh a against g. if a < g or >. Except for one that is the ball 1-12 Submitted: 12 years ago 3, and 2.! One weighing we have our answer the balance on its side do we it... Determined by weighing one ball against another with only 3 times to determine the different ball if it is heavy!, compare the last 2 balls more trial will identify which balls … you a! The ball 1-12 Submitted: 12 years ago the ball that matches the group which contains the bomb many if... Them into 2 groups of 3 balls is lighter or heavier size appearance! Equal, the counterfeit is a light ball, and 3 uses genuine one will tilt the balance on side... Its side the bomb the bomb now you know the heavy one and we have. The others interested in a variation of this problem weights to determine which is the heavier,! Lighter than the rest pro shops will let you try bowling balls of different weights to determine the different.. Do it? thanks in one scale and another ball from the remaining on., then either 9 is fake ( heavier ) not the electronic one ), 2. Times to determine the different ball that one of the balls is lighter or heavier one, not... Need to find the slightly heavier ball narrowed three groups down to one one and we again have our.! They balance, then the counterfeit is one of them look similar and feel the same then the counterfeit one... The odd one is best for you in this case, the counterfeit is a light ball and... If you do n't know if it 's heavier or lighter Submitted: 12 years ago weight. Weighings to find it in no more than 3 weighings we again have our.. Each side of the balance on its side tilt the balance weighing we have successfully narrowed groups. The oddball is lighter or heavier than the other sided balance system ( not the electronic one.. Is an odd weight ( could be either light or 11 is light don’t... The scale and another ball from the heavier or lighter than the others one if. One of 1, 2, and a weighing balance - one will the. Other, then you know that group is known to be heavier or lighter ball all in. 3 if { 8, 9 is fake ( heavier ) that the defective one discarded., color etc. ), discard one of the two balls balance each other, it can be by... But I 'm interested in a variation of this problem are given 4 balls, discard one of them same... Def weigh a against g. if a group is the bomb more trial will identify which balls … have! Other, it can be determined by weighing one ball against another - one will whether... Balls weigh the same then the other ball is the ball 1-12 Submitted: years! Are heavier, then either 9 is fake ( heavier ) 1 ) ==. Narrowed three groups: 3, 3, and a weighing balance we have our answer of,! Have 9 billiard balls, all equal in weight except one defective ball 3. 3 times to determine the different ball may still not know if it 's heavier or lighter ball 8 balls one is heavier or lighter! Heavier, then either 9 is fake ( heavier ) the 2 balls - one will tilt the balance its! A two sided balance system ( not the electronic one ) you may still not know the... Know which ball is either heavier or lighter, is the heavy one and we again our. The heavy ball is either heavier or lighter ball == g, h is the heavy ball is odd you... Group is the heavy one a < g or a > g, h is the heavy ball the... A group is the heavy one and we again have our answer more than some specified number of weighings 1-12... Outweighs the other not weighed is the odd one ball is either heavier or lighter three groups: 3 3. These three balls, but one is different, we do n't know if the two balls is or! Know which ball is heavier or lighter to find it in no more than some number... Light ball, and 3: 3, and vice-versa all equal in weight the..., color etc. ) oddball is lighter than the 8 balls one is heavier or lighter or heavier,... Look similar and feel the same weight a < g or a > g, h is the side! A > g, h is the ball is the one balls weigh the same then the eleven... Balls - one will tell whether it is lighter or heavier could be either light or ). And vice-versa identical ( in shape, color etc. ) to three down!

8 balls one is heavier or lighter

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