Weighing 9 Marbles

1 you have 9 marbles as seen.

Weighing 9 marbles. If 5 6 7 8 1 2 3 4 then either 5 6 7 8 contains a heavy ball or 1 2 3 4 contains a light ball so weigh 1 2 5 vs 3 6 12 with 3 possible outcomes. 2 8 of them are exactly the same. A real weight balance or scale looks slightly like the apparatus i drew above. If 1 2 5 vs 3 6 12 balances then either 4 is the odd light ball or 7 or 8 is the.

Red and blue marbles puzzle you have given 50 red marbles 50 blue marbles and two empty jars. You have a balance scale. These differ from puzzles that assign weights to items in that only the relative mass of these items is relevant. Therefore 2n must be less than 9 which means than n must be 4 or less.

You have 12 marbles. A balance puzzle or weighing puzzle is a logic puzzle about balancing items often coins to determine which holds a different value by using balance scales a limited number of times. There are two variants of the same question the easier of the two has been stated here. Weigh 9 vs 10 if balanced then 11 is the odd light ball else the lighter of 9 or 10 is the odd light ball.

You don t know if that one is heavier or lighter. You can put things in the little buckets and the scale will tip to the heavier side. 8 of them weigh 1 ounce each. So when comparing two groups of marbles there can be two outcomes 1.

They all weigh the same except one. The optimal solution for 9 balls puzzle is three weighing s solutions are as follows three weighing s divide the 9 balls into three sets each containing 3 balls each. As each weighing has 3 possible outcomes two of them lead to only 3 2 9 possible outcomes. 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.

Yeah i probably shouldn t have even bothered with the picture. 1 weighs 1 1 ounce. The 9 marbles are all uniform in size appearance and shape. In any case on to the riddle.

Let s name them for easy understanding. Now we already know that one of the marbles is heavier than the rest. One of them weig. You have to put all the.

With 13 marbles this would imply that 9 marbles or more are involved in the first weighing.