Scale And Marbles Problem

Again the heavier side remains.

Scale and marbles problem. That s all for 9 balls puzzle if you liked it please share your thoughts in a comments section and share it with others too for more interesting puzzles visit interview puzzles. You have a balance scale. So let s do this. In fact 11 of them are identical and one is of a different weight.

Then we compare the 6 marbles there s two possible outcomes. You have 12 balls identical in size and appearance but 1 is an odd weight could be either light or heavy. They all weigh the same except one. The problem is that all the bags look identical and all the beads look identical.

Pick 2 groups and use the scale to determine which group contains the heavier marble. The 12 marbles appear to be identical. You can use a scale but it has to be a single tray scale not a two tray balance scale. If the 2 groups weigh the same the heavier marble is in the 3rd group.

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. And if the marbles on the scale do not weigh the same then we know that one of the marbles on the scale is the heaviest and we can eliminate the marbles that are not on the scale. Split the marbles into 3 groups with 4 marbles each. This is the solution to the weighing pool balls puzzle.

Marble weighing problem you have 12 marbles. How can you find out which bag has the lighter beads. 1 6 was lighter so we remove it and replace it with 7 8 9 and weigh them against 10 11 12. Your task is to identify the unusual marble and discard it.

Also you may use the scale only once. We remove two balls from the heavier side and place only one of them on the other side of the scale e g. We put 3 marbles on each pan for a total of 6 marbles on the pan and we leave 2 marbles off the pan. We put 3 marbles on each side of the scale for a total of 6 marbles that are being weighed.

Then we compare the 6 marbles on the pan if one side is heavier than the other then we only have 3 marbles left. You are asked to both identify it and determine whether it is heavy or light. If the scale balances then the ball that didn t get weighed is the heavy ball. Once the group is determined split the marbles into 2 groups with 2 marbles each.

You don t know if that one is heavier or lighter. If the scale does not balance the ball on the heavier side is the heavy ball. Use the scale to determine the group that contains the heavier marble. Keep the heavy group of 3 marbles and discard the rest.

If either is heavier we take the lighter side off the scales and bring in 3 from the heavier side e g. Then in the second weighing we can compare 2 of those 3 marbles to each other. If one side is heavier than the other then we only have 3 marbles left. Note that the unusual marble may be heavier or lighter than the others.

Since we now have 3 marbles 1 of which is the heavy one put 1 in each side 1 left 1 right 1 unused. Weighing pool balls solution. You are allowed to use the scales three times if you wish but no more.