Math 'n' Logic Puzzles

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Broken Program
Broken Program
by The Grabarchuk Family
What is the minimum number of 2-key swaps required to restore the correct order of the keys?
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Heaviest Candy
Heaviest Candy
by The Grabarchuk Family
Which candy is the heaviest?
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Get 4L
Get 4L
Two containers: 3L and 5L. An immense supply of water. And a "weighted "question: how to get exactly 4L of water with all of this? Can it be solved at all?.. Yes, it can.
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Measure 5 Liters
Measure 5 Liters
by The Grabarchuk Family
Using two of the cans, it is possible to measure exactly 5 liters of water. Which two cans must be used?
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Square Size
Square Size
by The Grabarchuk Family
Numbered tiles (1 through N) form a square and are placed in it line-by-line in ascending order starting from its top left corner. A fragment of the square is shown. What is the size of the square?
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Who's Telling the Truth?
Who's Telling the Truth?
after Lewis Carroll
Figuring out who is telling the truth and who is lying had never been an easy task. And hardly will ever be. Especially if the conclusion should be done based on the statements from the persons being investigated.
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Painting A Cube
Painting A Cube
after Lewis Carroll
Suppose you have an immense supply of wooden cubes and several paint tins each containing a different color of paint. How many differently painted cubes would you be able to produce with such a toolkit?
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The Square Window
The Square Window
after Lewis Carroll
The challenge posed by Lewis Carroll to a teen-age girl in 1873 about how to reduce the area of a window in half but at the same time keeping its height and width intact. Is the problem still actual nowadays?
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Painting a Pyramid
Painting a Pyramid
by Henry E. Dudeney
A solar spectrum consists of seven colors. A triangular pyramid consists of four faces. The question is in how many distinctive ways the pyramid can be painted using each time only the colors from the solar spectrum?
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How Many Minutes?
How Many Minutes?
after Henry E. Dudeney
How many minutes is it until X o'clock if Y minutes ago it was N times as many minutes past Z o'clock? Will the challenge sound less complicated when the variables are replaced with the numbers?
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Kisses & Handshakes
Kisses & Handshakes
by Serhiy Grabarchuk, Jr.
Knowing the number of kisses and handshakes guests exchanged with each other and with the hosts it is possible to answer how many of them arrived at a dinner and if they arrived in couples or alone. Any ideas?
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How Old is the Rose-Red City?
How Old is the Rose-Red City?
after Martin Gardner
Read through five lines expressed in verse and try to come up with an exact age of the Rose-Red city. Be careful and accurate while calculating in order to avoid any mistake.
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Two Jars
Two Jars
by Serhiy Grabarchuk, Jr.
Each of the two jars has a capacity of 6 liters exactly. Supposing you have an immense supply of water the task is to measure 4 liters using only these two jars as measuring tools.
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In 'n' Out
In 'n' Out
after Martin Gardner
How to guess whether a certain region is inside a closed curve or outside it when a part of the curve is not visible? Is there any clear and simple method to do this?
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Cube Cuts
Cube Cuts
after Martin Gardner
It is said a cube can be easily cut into 27 smaller cubes with six straight cuts. Can this number of necessary cuts be reduced by arranging the pieces after each cut?
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Bugs' Traffic
Bugs' Traffic
after Martin Gardner
The four bugs standing in the corners of a square start to crawl one toward each other. Here comes the question: How far does each bug travel before they all meet?
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The Monk Travel
The Monk Travel
by Karl Dunker
Starting the way up at sunrise and starting the way down several days after at sunrise too, is there a spot along the path that a monk will occupy on both trips at precisely the same time of day?
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Colored Names & Hair
Colored Names & Hair
after Martin Gardner
The last names of Merle White, Leslie Black and Jean Brown don't match the colors of their hair. From a little conversation between them can you determine the color of Leslie Black's hair?
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The Mutilated Chessboard
The Mutilated Chessboard
after Martin Gardner
Another classic puzzle gem that should bring you an "aha!" no matter, if you solve it by yourself or go right to the solution page. Enjoy the beauty of the logical proof!
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The Portrait
The Portrait
after Professor Louis Hoffmann
Try to figure out whose portrait hung on the wall in one man's library. Just read carefully a strange verse about some persons and their relationship...
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Bottle and Cork
A Bottle and a Cork
after Martin Gardner
Is it difficult to figure out the exact costs of two things when you know their total cost and a difference only? Don't let the figures mislead you while counting.
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Last Updated: April 24, 2013 top
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