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  2. Ages of Three Children puzzle - Wikipedia

    en.wikipedia.org/wiki/Ages_of_Three_Children_puzzle

    Because the census taker knew the total (from the number on the gate) but said that he had insufficient information to give a definitive answer, there must be more than one solution with the same total. Only two sets of possible ages add up to the same totals: A. 2 + 6 + 6 = 14 B. 3 + 3 + 8 = 14

  3. Missing dollar riddle - Wikipedia

    en.wikipedia.org/wiki/Missing_dollar_riddle

    The misdirection in this riddle is in the second half of the description, where unrelated amounts are added together and the person to whom the riddle is posed assumes those amounts should add up to 30, and is then surprised when they do not ⁠— ⁠there is, in fact, no reason why the (10 ⁠− ⁠1) ⁠× ⁠3 ⁠ + ⁠2 ⁠ = ⁠29 sum should add up to 30.

  4. List of impossible puzzles - Wikipedia

    en.wikipedia.org/wiki/List_of_impossible_puzzles

    This is a list of puzzles that cannot be solved. An impossible puzzle is a puzzle that cannot be resolved, either due to lack of sufficient information, or any number of logical impossibilities. 15 Puzzle – Slide fifteen numbered tiles into numerical order. It is impossible to solve in half of the starting positions. [1]

  5. 17-animal inheritance puzzle - Wikipedia

    en.wikipedia.org/wiki/17-animal_inheritance_puzzle

    17 indivisible camels. The 17-animal inheritance puzzle is a mathematical puzzle involving unequal but fair allocation of indivisible goods, usually stated in terms of inheritance of a number of large animals (17 camels, 17 horses, 17 elephants, etc.) which must be divided in some stated proportion among a number of beneficiaries.

  6. Sum and Product Puzzle - Wikipedia

    en.wikipedia.org/wiki/Sum_and_Product_Puzzle

    The first solution with no prime number is the fourth which appears at X + Y ≤ 2522 or higher with values X = 16 = 2·2·2·2 and Y = 111 = 3·37. If the condition Y > X > 1 is changed to Y > X > 2, there is a unique solution for thresholds X + Y ≤ t for 124 < t < 5045, after which there are multiple solutions.

  7. Look-and-say sequence - Wikipedia

    en.wikipedia.org/wiki/Look-and-say_sequence

    In this case, the term following 21 would be 1112 ("one 1, one 2") and the term following 3112 would be 211213 ("two 1s, one 2 and one 3"). This variation ultimately ends up repeating the number 21322314 ("two 1s, three 2s, two 3s and one 4"). These sequences differ in several notable ways from the look-and-say sequence.

  8. Induction puzzles - Wikipedia

    en.wikipedia.org/wiki/Induction_puzzles

    If the sequences of 0s and 1s are viewed as binary representations of a real number between 0 and 1, the representative sequences form a non-measurable set. (This set is similar to a Vitali set, the only difference being that equivalence classes are formed with respect to numbers with finite binary representations rather than all rational ...

  9. Elephant joke - Wikipedia

    en.wikipedia.org/wiki/Elephant_joke

    An elephant joke is a joke cycle, almost always an absurd riddle or conundrum and often a sequence of such, that involves an elephant. Elephant jokes were a fad in the 1960s, with many people constructing large numbers of them according to a set formula. Sometimes they involve parodies or puns. [1] [2] [3] An example of an elephant joke is: [1] [3]

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