You have 12 balls identical in size and appearance but 1 is an odd weight (could be either light or heavy). You have a set of balance scales which will give 3 possible readings: (i.e. Left and Right have equal weight, Left is Heavier, or Left is Lighter). You have only 3 chances to weigh the balls in any combination using the scales.
How many balls are on the left side of the scale?
We place 4 balls on each side of the scale. Let balls 1, 2, 3, 4 be on the right side, and balls 5, 6, 7, 8 on the left side. CASE 1. The scale does not tip to any side. For the second measurement we place on the left side balls 1, 2, 3, 9 and on the right side balls 4, 5, 10, 11.
Which is the heavier ball on the scale?
Scenario A: The scale balances. That means that the heavy ball is one of the two castoffs (G or H). Weigh G and H against each other, and you get your answer.
How to find the heavier of the 8 balls?
You are given 8 identical looking balls. One of them is heavier than the rest of the 7 (all the others weigh exactly the same). You are provided with a simple mechanical balance scale. How can you find the heavier ball by using the scale only twice? Take 6 balls and split them into 2 groups of 3 balls each. Use the scale to weigh the 2 groups.
How to calculate the weight of 9 balls?
First weigh :- Weigh A {3 balls} vs. B {3 balls}, Now either the scale will balance or the scale will not balance and one side will be heavier. Second weigh (a) :- If the scale is balanced, then the different weight (heavier/lighter) ball must be in C {3 balls} which was not weighed.
How do you find the weight of a pool ball?
You have a set of balance scales which will give 3 possible readings: (i.e. Left and Right have equal weight, Left is Heavier, or Left is Lighter). You have only 3 chances to weigh the balls in any combination using the scales. Find which ball is the odd one and if it’s heavier or lighter than the rest. How do you do it?
