12 Marbles Problem Solution

They all weigh the same except one.

12 marbles problem solution. You don t know if that one is heavier or lighter. There are two possibilities. If you want to warm up your skills you can try this easier 8 ball problem first. First we weigh 1 2 3 4 on the left and 5 6 7 8 on the right.

This question is quite tricky. You can perform up to a maximum of three weighings to find out which marble has the different weight and if it is heavier or lighter than the others. One of the marbles is heavier in weight than the rest. The problem can be solved in three weighings.

Split the marbles into 3 groups with 4 marbles each. Ok let s get on with it. Pick 2 groups and use the scale to determine which group contains. For convenience sake let s name the balls 1 12.

12 marbles problem. You have twelve marbles that are identical in size shape and color. So another perfectly valid solution to the 12 marbles puzzle might even be. Here is an interesting riddle involving 12 marbles and a balance scale.

There are three scenarios which can arise from this. 2v2 8 xy 1v1 0 z 3v3 2 xy 1v1 1 z 1v1 0 which requires only two weights in one third of the cases. Marble weighing problem you have 12 marbles. 12 marbles written on 3 23 am by vja students you have twelve marbles.

So that the plan can be followed let us number the marbles from 1 to 12. Eleven of the marbles are of equal weight but one is heavier or lighter. Weigh four marbles against four others leaving four on the table. In general if you have n weights at your disposal you can solve the puzzle up to 3 n marbles included.

You have a balance scale. Either they balance or they don t. For the first weighing let us put on the left pan marbles 1 2 3 4 and on the right pan marbles 5 6 7 8. One of the 12 marbles is irregular but you don t know whether it s heavier or lighte.