WebDetermine the number w such that ( 3 w − 1 − 3) / 2 < N ≤ ( 3 w − 3) / 2, i.e. w = ⌈ log 3 ( 2 N + 3) ⌉. This will be the number of required weighings. In the first stage, weigh ( 3 w − 1 − 1) / 2 balls against the same number of balls. If the outcome is “heavier” or “lighter”, all the left-over balls are standard; apply ... WebTake the four remaining coins and place three on one side of the balance. Place 3 of the 8 identical coins on the other side. There are three possibilities: 2.a) The three remaining …

Balance Puzzle - The Twelve-coin Problem - Solution

WebApr 11, 2024 · In this Stock Puzzle, you are given a number of coins, or bags of coins, and a balance. ... Twelve Coins Puzzle. Page; Discussion; English. Read; View source; View … WebJan 31, 2015 · Weigh them and see. If A < B, renumber all A-balls to B-balls, and perform the above steps. If A = B, weigh A1, A2, A3 against C1, C2, C3. If they are equal, then weigh A1 against C4. If A1 is lighter, then C4 is the odd ball and it is heavy. If A1 is heavier, then C4 is the odd ball and it is light. If A is heavier than C, weigh C1 against C2. smoodge definition

strategy - Twelve balls and a scale - Puzzling Stack Exchange

WebJan 20, 2010 · Just because you love it when I post mathematical puzzles, and also because I got two books packed full of them for Xmas Here is the problem: You have 12 coins, each one indistinguishable from the other in terms of size and appearance, and all but one of them weighing the same. That is to say, 11 of them have the same weight, whilst one of … http://mesosyn.com/mental1-7d-copy.html WebJul 21, 2014 · Number the coins 1 through 12. First weighing: 1,2,3,4 v 5,6,7,8. If equal, weigh 9,10,11 v 1,2,3 (not counterfeit). If equal, 12 is the counterfeit and weigh it against any … riverview mobile home park oregon