12 Marbles Problem Solution

Either they balance or they don t.

12 marbles problem solution. Pick 2 groups and use the scale to determine which group contains. If you want to warm up your skills you can try this easier 8 ball problem first. 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.

12 marbles problem. 12 marbles written on 3 23 am by vja students you have twelve marbles. One of the 12 marbles is irregular but you don t know whether it s heavier or lighte. 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.

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. Here is an interesting riddle involving 12 marbles and a balance scale. Weigh four marbles against four others leaving four on the table. First we weigh 1 2 3 4 on the left and 5 6 7 8 on the right.

If they balance then the different marble is in the group 9 10 11 12. This question is quite tricky. There are three scenarios which can arise from this. They all weigh the same except one.

The problem can be solved in three weighings. You have a balance scale. So that the plan can be followed let us number the marbles from 1 to 12. For convenience sake let s name the balls 1 12.

There are two possibilities. Split the marbles into 3 groups with 4 marbles each. One of the marbles is heavier in weight than the rest. 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.

How can you find the heavier marble by using a balance scale only thrice. In general if you have n weights at your disposal you can solve the puzzle up to 3 n marbles included. You don t know if that one is heavier or lighter. Marble weighing problem you have 12 marbles.