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Puzzles and Paradoxes

How To Solve This Fun Math Problem?

Published on September 29, 2024 by Hemanth

How to solve this fun math problem? 2¹⁴ - 1 = ?
Hint: Use algebra!
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The Portal Dilemma: The Case Of The Teleporting Cube

Published on September 15, 2024 by Hemanth

Portal Dilemma - There is an entrance portal on the face of a moving piston that leads to an exit portal on the face of an inclined surface. As the piston moves fast downward, it moves toward a flat platform with a cube. You could imagine that as the piston moves downward with the entrance portal on its surface, the cube gets teleported out of the exit portal on the inclined surface. Given this setting, the question is if the cube comes out with zero velocity or with the velocity of the piston.
"PLOP" or "WHOOSH"?
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How To Make Sense Of Bertrand’s Box Paradox?

Published on September 8, 2024 by Hemanth

Bertrand's Box Paradox - Three boxes are placed side by side. Box 1 contains 2 gold coins. Box 2 contains one silver coin and one gold coin. Box 3 contains 2 silver coins.
This Paradox features a counterintuitive probability puzzle!
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Puzzle Time: The Struggling Classroom

Published on July 13, 2024 by Hemanth

Puzzle Time: The Struggling Classroom - A stick-figure based cartoon where a teacher is standing in front of a class room board, where the following information is laid out: M -> 85%, P -> 75%, G -> 80%, and B -> 70%. Besides these scores is the big letter "F". In front of the board are three students who seem depressed. The little girl in the centre seems to be crying.
A simple probability-based challenge!
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Can You Solve This Sixth Grade Math Puzzle?

Published on June 22, 2024 by Hemanth

The sixth grade math puzzle - First example: Number at the top: 5, number at the left: 3, number at the right: 2, number at the bottom: 4, number at the center: 19. Second example: Number at the top: 9, number at the left: 3, number at the right: 3, number at the bottom: 7, number at the center: 54. Puzzle: Number at the top: 6, number at the left: 5, number at the right: 4, number at the bottom: 8, number at the center: ?
This puzzle requires simple pattern recognition skills.
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The Simple Math Behind Image Rotation

Published on March 15, 2024 by Hemanth

The Math Behind Image Rotation - A grid of 9 square blocks arranged in a 3x3 grid. Each block is numbered and has a unique color. On the right, the same block has been rotated 90 degrees in the clockwise direction. An question mark in the middle asks how to do this.
Featuring an old-school game-development algorithm!
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How To Solve This Tricky Algebra Problem (XIII)

Published on June 19, 2023 by Hemanth

How To Solve This Tricky Algebra Problem (XIII) - Whiteboard-style graphics asking the following question: 98*99*100*101*102 = ?? Below this question, the following text is written in a box: "Use Algebra"
The Tricky Algebra Problem Series celebrates the joy of algebra! This problem has an easy difficulty level. But no calculator allowed!
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How To Simplify This Radical

Published on June 16, 2023 by Hemanth

Simplifying this radical becomes "radically" simple if you have this one trick up your sleeve. Read to learn more about it!
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How To Get Better At Problem Solving

Published on May 13, 2023 by Hemanth

How To Get Better At Problem Solving - An illustration showing a videogame controller connected to a monitor. The monitor has a 2D-brain with two connected jigsaw puzzle-pieces inside. Below these puzzle pieces, we have the following words: "Problem Solving!!"
You need not be a genius to get better at problem solving. And it problem solving need not be a chore either!
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How To Crack The 25-Car Puzzle?

Published on May 6, 2023 by Hemanth

How To Crack The 25-Car Puzzle? - An illustration showing a fancy-looking race car that is being multiplied 25 times. Around this fancy illustration, the following text is written: The 25-Car Puzzle.
The 25-car puzzle is a race to uncover the 3 quickest contenders! Sharpen your logical problem solving skills with this one!
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