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Puzzles and Paradoxes

Can You Really Solve This Tricky Math Puzzle?

Published on August 21, 2022 by Hemanth

Can You Really Solve This Tricky Math Puzzle? - An illustration showing a weighing scale that has a 40 Kilogram object on the right-hand side pan. On the left-hand side pan, there is an unknown box that is marked 'x'. The right-hand side is lower than the left-hand side. Below the weighing scale, the following text is written: "How Many Weights?"
This tricky math puzzle requires you to solve for the minimum number of weights you could use to balance 40 Kilograms. It stumped me. Can you fare better?
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Can You Really Solve This Tricky Logic Puzzle? (II)

Published on August 16, 2022 by Hemanth

Can You Really Solve This Tricky Logic Puzzle? (II) - An illustration showing Matt, Can, and Cheat vertically listed in a column on the left hand side. On the right of each of them, an arrow points to a smaller toy version of each of them. Above each arrow, a pink circle with a black question mark inside is drawn.
I am back again with yet another tricky logic puzzle for you. If you are into logical thinking and problem solving, this puzzle is for you! Check it out!
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Can You Really Solve This Tricky Logic Puzzle?

Published on August 10, 2022 by Hemanth

Can You Really Solve This Tricky Logic Puzzle? - An illustration showing Matt - a human being on the left, Can - A puppy at the centre, and Cheat - a robot on the right. All three of them are seen saying "HELLO!" together.
I recently came across a tricky logic puzzle that made me think and engage. If you are into logical thinking and problem solving, this puzzle is for you!
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How To Do Basic Math Operations Using Only Ruler And Compass

Published on August 9, 2022 by Hemanth

How To Do Basic Math Operations Using Only Ruler And Compass - An illustration showing what appears like a cartesian plane with measurements being made using a compass to mark two line segments on the positive horizontal axis and the positive vertical axis.
Why do basic math operations using only ruler and compass? Well, this challenge serves as a precursor to understand Euclid's Demons - more profound mathemaics!
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Brain Plasticity: How To Really Supercharge Your Intellect

Published on August 7, 2022 by Hemanth

Brain Plasticity: How To Really Supercharge Your Intellect - A illustration showing the following verbal equation: Brain plasticity + Rich Environment + Novel Experiences = Supercharged Intellect.
The science on using brain plasticity to get smarter is surprisingly tricky. While there is credible work in the field, there are pseudo-scientific claims also.
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Puzzles: How To Use Them To Improve Brain Performance?

Published on August 4, 2022 by Hemanth

Puzzles: How To Use Them To Improve Brain Performance? - Three illustrations: the first shows a cross-word-like puzzle. The second illustration shows six sheets of A4 paper. And the third illustration shows a glass of wine on top of a sheet of A4 paper.
This essay covers the neuroscience behind puzzles. On top of this, you get to solve three bonus puzzles. Each of these puzzles activates a specific brain area!
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St. Petersburg Paradox – How To Actually Price Uncertainty?

Published on July 27, 2022 by Hemanth

St. Petersburg Paradox - How To Actually Price Uncertainty? - A portrait of Daniel Bernoulli on the left (image from WikiCC), and a portrait of Gabriel Cramer on the right (image from WikiCC) - image further edited by the author
The St. Petersburg paradox represents a landmark in applied mathematics history. It challenges expected value theory and is a precursor to ergodicity theory.
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Solomon’s Paradox: Do You Really Take Your Own Advice?

Published on July 24, 2022 by Hemanth

Solomon's Paradox: Do You Really Take Your Own Advice? An illustration showing a king seated on a throne. In his hand, the King seems to be holding an orb that has the label "WISDOM" written on it.
Solomon's paradox describes a pervasive psychological phenomenon that supposedly helps you make better decisions in life. Read the essay to learn more!
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Symmetry: How To Really “See” It?

Published on July 21, 2022 by Hemanth

Symmetry: How To Really "See" It? - An illustration showing a duck with its beak pointing towards the left and tail pointing towards the right. It is labelled "Duck-Rabbit". The Duck says, "Rotate me 90° clockwise." When you rotate the duck clockwise 90°, it appears to become a rabbit.
Learn all about symmetry in this essay from simple illustrations. To test your knowledge, there is also a fun bonus puzzle waiting for you at the end!
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How To Really Solve This Tricky Algebra Problem (VII)

Published on July 20, 2022 by Hemanth

How To Really Solve This Tricky Algebra Problem (VII) - (a*b*c*d*e) = (a+b+c+d+e); Fine the max. possible value of max{a, b, c, d, e}. (a, b, c, d, e) belong to the set of all positive integers.
The Tricky Algebra Problem Series celebrates the joy of algebra! Problems range from beginner to advanced levels.This one is a math olympiald level problem!
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