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The symbols for the weighings are listed in sequence. As proven below, the result is even for 50 and odd for 49. Braingle 'Coin Logic' Brain Teaser = j MATCHSTICKS ( The Bangladeshi seaman is the thief. = ( So start browsing the site and get ready to test your brain with these . s + Logic puzzles require you to think. = e AKBAR & BIRBAL In a relaxed variation of this puzzle, one only needs to find the counterfeit coin without necessarily being able to tell its weight relative to the others. W } You know it is a special case, but surely it is a possible special case. = Four coins are put on each side. Download Three Coins . , Download LogicBrain(Puzzle games) and enjoy it on your iPhone, iPad and iPod touch. The three possible outcomes of each weighing can be denoted by "\" for the left side being lighter, "/" for the right side being lighter, and "" for both sides having the same weight. 2. I run the MindYourDecisions channel on YouTube, which has over 2 million subscribers and 400 million views. Since Jasmine and Thibault ate equal amount, they should pay the same amount. 1. of tails while the other pile will have '10-h' heads and '90-t' tails.Now we can flip coins of one pile,so lets flip coins of any pile (say 2nd pile) then . {\displaystyle \mathrm {h} } Therefore the next to the youngest must have been the son and the next to the oldest, the mother. Can you solve one of the most famous logic puzzle ever? Z Check your work against the answer key and see how logical you really are! | Note that with 3 weighs and 13 coins, it is not always possible to determine the identity of the last coin (whether it is heavier or lighter than the rest), but merely that the coin is different. is Z {\displaystyle E=\{\mathrm {e} ^{j}\}\subseteq \mathbb {R} ^{n},} Number the coins from 1 to 13 and the authentic coin number 0 and perform these weighings in any order: If the scales are only off balance once, then it must be one of the coins 1, 2, 3which only appear in one weighing.