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100 Prisoners and 100 Boxes
100 prisoners, 100 boxes, 50 peeks each: a cycle-following strategy saves everyone with probability about 31 percent.
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100 prisoners, 100 boxes, 50 peeks each: a cycle-following strategy saves everyone with probability about 31 percent.
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Four people with one torch must cross a bridge that holds two at a time. The obvious 19-minute answer is wrong - the minimum is 17.
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Siddhant writes a Maths test and correctly answers 5 out of 6 Arithmetic questions and 20 out of 28 Geometry questions.
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A restaurant sells dimsums in boxes of 7 and 3. What is the greatest number of dimsums you cannot buy? The classic Frobenius coin problem.
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There are two maternity hospitals in a town with 50 and 500 beds.
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This is another famous puzzle in the Martin Gardner collection, and variations of this puzzle exist in different “sizes”.
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In a line up of 10 soldiers, what is the least number of soldiers that can be picked in order of either ascending or descending heights?
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Paul knows the product, Sam the sum, and Dean the difference of two integers. A much harder variant of the viral Cheryl's Birthday puzzle.
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Part I (Easy): Using a clock, divide a pizza among 12 people. Part II (Difficult): Using a clock, divide a pizza among 11 people?
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Easy case:. You’re trying to buy equipments whose costs are appreciating.
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Airline check-in baggage has size restriction by so-called linear dimension: length + breadth + height should not exceed 62 inches.
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Prove that for any positive K and a natural number n, every (n*K)th number in the Fibonacci sequence is a multiple of the Kth number in the.
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The integers greater than zero are painted such that:. • every number is either gold or silver. • both paints are used.
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Given n points on a 2D plane, find the equation of the line with maximum number of collinear points. What is the time complexity of your algorithm?
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The mathematics behind the card game SET - counting combinations and the probability of finding a set on the table.
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A broken vending machine fills your cup by a uniform random percentage with each press. What is the expected number of presses to fill the cup?
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Pebble Placement Puzzle 1. Problem: Peggy aims to place pebbles on an n × n chessboard in the following way.
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There are several pebbles placed on an n × n chessboard, such that each pebble is inside a square and no two pebbles share the same square.
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Begin with n integers x1,., xn around a circle. At each turn, simultaneously replace all of them by the absolute differences.
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There are some weights on the two sides of a balance scale. The mass of each weight is an integer number of grams, but no two weights on the.