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Each question asks you to identify the one thing that breaks the pattern or doesn’t belong.Are you ready to prove your mental prowess? Let’s do this! 🕵️♀️ Puzzle Your Brain: 30 Odd ...
Remove one of the 3 coins, move another to the other side of the balance (remove all other coins from balance). If the balance evens out, the odd coin is the coin that was removed. If the balance switches direction, the odd coin is the one that was moved to the other side, otherwise, the odd coin is the coin that remained in place.
The mutilated chessboard problem is an instance of domino tiling of grids and polyominoes, also known as "dimer models", a general class of problems whose study in statistical mechanics dates to the work of Ralph H. Fowler and George Stanley Rushbrooke in 1937. [1]
The rule was "If the card shows an even number on one face, then its opposite face is blue." Only a card with both an even number on one face and something other than blue on the other face can invalidate this rule: If the 3 card is blue (or red), that doesn't violate the rule. The rule makes no claims about odd numbers. (Denying the antecedent)
However, the blue triangle has a ratio of 5:2 (=2.5), while the red triangle has the ratio 8:3 (≈2.667), so the apparent combined hypotenuse in each figure is actually bent. With the bent hypotenuse, the first figure actually occupies a combined 32 units, while the second figure occupies 33, including the "missing" square.
Your task is to determine the identities of A, B, and C by asking yes–no questions; each question must be put to exactly one god. The gods understand English and will answer in English. Note that this puzzle is trivially solved with three questions. Furthermore, to solve the puzzle in two questions, the following lemma is proved. Tempered ...
Since a move inverts two cups and each inversion changes by + (if the cup was the right way up) or (otherwise), a move changes by the sum of two odd numbers, which is even, completing the proof. Another way of looking is that, at the start, 2 cups are in the "right" orientation and 1 is "wrong".
One of the prisoners begs the warden to tell him the name of one of the others to be executed, arguing that this reveals no information about his own fate but increases his chances of being pardoned from 1 / 3 to 1 / 2 . The warden obliges, (secretly) flipping a coin to decide which name to provide if the prisoner who is asking ...