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Puzzles and Paradoxes

How To Find The Next Number In The Sequence?

Published on February 25, 2023 by Hemanth

How To Find The Next Number In The Sequence? - A whiteboard style illustration showing the following number sequence: 3, 13, 1113, 3113, ? Above this sequence, the following question is posed: "What is the next number?"
Are you good at puzzles? Try to find the next number in the sequence. This sequence can get tricky and features other interesting properties!
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How To Really Solve The Last Coconut Puzzle

Published on February 21, 2023 by Hemanth

How To Really Solve The Last Coconut Puzzle - An illustration showing a cute little monkey sitting on the right like a baby. On the right, you see a goofy and cute looking coconut with eyes and its tongue sticking out. The monkey seems to be eyeing the coconut.
The last coconut puzzle tests your intuition around decision-making. Do you think you are a good decision maker? Why don't you give this puzzle a try?
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Tricky Logic Puzzle (VII) – How To Really Solve It?

Published on January 31, 2023 by Hemanth

Tricky Logic Puzzle (VII) - How To Really Solve It? - An illustration showing a building with 100 floors on the left. On the right, a special box is dropped from the top of the building. Below, at ground level on the right, you can also see another special box marked "special box 1".
Welcome to the seventh entry in the tricky logic puzzle series. In this iteration, you get to test your algorithmic reasoning skills. Give it a go!
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How To Really Solve This Tricky Math Problem?

Published on January 19, 2023 by Hemanth

How To Really Solve This Tricky Math Problem? - A whiteboard style illustration showing the following equation: 2^x + 4^y + 8^z = 328; What are 'x', 'y', and 'z' equal to, if 'x', 'y', and 'z' are positive integers.
I recently came across this tricky math problem and found it interesting. Hint: Discrete math makes this problem surprisingly simple to solve!
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The Unexpected Hanging Paradox: How To Resolve It?

Published on January 9, 2023 by Hemanth

The Unexpected Hanging Paradox: How To Resolve It? - An illustration showing a cute little coconut with eyes and mouth on the left. On the right, you can see a female prisoner who is unhappy. In between them is a hanging rope. The prisoner sadly asks, "All this for a coconut?"
The Unexpected Hanging Paradox challenges the fundamental philosophy of logic. It arises from a simple story-based puzzle. Check out the essay to learn more!
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How To Really Solve This Tricky Algebra Problem (XII)

Published on January 2, 2023 by Hemanth

How To Really Solve This Tricky Algebra Problem (XII) - A whiteboard style graphic-illustration showing the following information: x + 1/x = 1; x⁵ + (1/x⁵) = What (??)
The Tricky Algebra Problem Series celebrates the joy of algebra! Problems range from beginner to advanced levels. This one has an easy difficulty level!
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How To Really Solve This Tricky Algebra Problem (XI)

Published on December 23, 2022 by Hemanth

How To Really Solve This Tricky Algebra Problem (XI) - Whiteboard style graphics showing the following information: The following two equations are written on the left: a+b+c=2022; (1/a)+(1/b)+(1/c) = 1/2022; On the right, the following question is asked: (1/a²⁰²³) + (1/b²⁰²³) + (1/c²⁰²³) = ? (what)
The Tricky Algebra Problem Series celebrates the joy of algebra! Problems range from beginner to advanced levels. This one has a medium difficulty level!
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The Grue Paradox: Induction Does Not Really Exist.

Published on December 14, 2022 by Hemanth

The Grue Paradox: Induction Does Not Really Exist. - An illustration showing a green gemstone on the left and a blue gemstone on the right. Around this illustration, the following question is posed: "Are emeralds green or blue?"
The grue paradox exposes a central problem in the philosophy of science. It leads to the conclusion that induction does not really exist! Read to learn more!
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Infinite Regress: How To Really Understand It?

Published on November 22, 2022 by Hemanth

Infinite Regress: How To Really Understand It? - A whiteboard illustration showing a series of Russian dolls on top, where a smaller doll recursively appears out of each bigger doll (left to right). At the same time, there is an image of a square-based fractal below. In between these two images, the phrase "Infinite Regress" is presented in a box. Both of these concepts seem to be linked by infinite regress.
Infinite regress is an intellectual concept that connects fields such as philosophy, theology, math, and art. Interested in learning more? Check out the essay!
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How To Really Solve This Tricky Logic Puzzle? (VI)

Published on November 16, 2022 by Hemanth

How To Really Solve This Tricky Logic Puzzle? (VI) - An illustration showing three characters: Matt - a human being, Can - a puppy, and Cheat - a robot, all happily chilling. Above them hovers an alien spaceship with fancy lights and two aliens inside it.
Welcome to the sixth entry in the tricky logic puzzle series. In this iteration, you get to solve an engaging story-based logic puzzle with an algebraic twist!
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