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Puzzles and Paradoxes

How To Really Solve This Tricky Algebra Problem? (X)

Published on November 4, 2022 by Hemanth

How To Really Solve This Tricky Algebra Problem? (X) - (x^x)⁴ = 64; x = ??; where x is a real number.
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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The Three Prisoners Puzzle: How To Really Solve It?

Published on November 2, 2022 by Hemanth

The Three Prisoners Puzzle: How To Really Solve It? - An illustration/cartoon showing a warden wearing sunglasses and smirking on the left. On the right, are three puzzled prisoners: A, B, and C. A is wearing a smile on his face, B is wearing a poker face, whereas C is plain surprised. Between the warden and the prisoners is a hanging rope. Who will be hung using this rope?
The three prisoners puzzle is a fun and engaging probability theory puzzle. Even experts have failed to solve this puzzle! Why don't you give it a try?!
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Tricky Logic Puzzle (V): How To Really Solve It?

Published on October 29, 2022 by Hemanth

Tricky Logic Puzzle (V): How To Really Solve It? - A whiteboard-style graphic illustration showing a cat and dog above two mystery boxes labelled "Mystery Box 1" and "Mystery Box 2". On the surface of each of these boxes, there are two question marks "??" marked.
Welcome to the fourth entry in the tricky logic puzzle series. Test your logical reasoning skills with this super fun mystery box puzzle!
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Mary’s Room: How To Really Make Sense Of Knowledge?

Published on October 26, 2022 by Hemanth

Mary's Room: How To Really Make Sense Of Knowledge? - A white-board style graphic illustration showing a black and white room with a couch, chair, lamp and computer screen inside it. Also inside this room is a happy stick figure. Pink signs label the room as Mary's room and the stick figure as Mary.
Mary’s room is a philosophical thought experiment that tries to understand the fundamental notion of human knowledge. Read the essay to learn more about it!
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How To Really Solve This Fun Geometry Puzzle? (II)

Published on October 18, 2022 by Hemanth

How To Really Solve This Fun Geometry Puzzle? (II) - Whiteboard graphics showing a circle two radii that are perpendicular to each other. Along these radii lie the sides of a rectangle with length 4 units and breadth 3 units respectively. The area within this construction that is not occupied by the rectangle is shaded yellow. Shaded area = What??
I recently encountered this fun geometry puzzle and it managed to engage me. It's a very easy puzzle. Do you think that you can solve it in under a minute?
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The Sleeping Beauty Problem: How To Really Solve It?

Published on October 7, 2022 by Hemanth

The Sleeping Beauty Problem: How To Really Solve It? - An illustration that shows the sleeping beauty (stick figure)fast asleep on the right. On her left is a decision flowchart. First, a coin is tossed on Sunday. If the coin lands heads, the flowchart concludes on Monday. If the coin lands tails on Sunday, the experiment is repeated on Monday, and then concluded on Tuesday. What could the sleeping beauty problem be about?
The sleeping beauty problem is a highly controversial decision theory puzzle. It divides experts until this day. Check out what the controversy is all about!
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Tricky Logic Puzzle (IV): How To Really Solve It?

Published on September 30, 2022 by Hemanth

Tricky Logic Puzzle (IV): How To Really Solve It? - An illustration showing a row five turned-on light bulbs. Beside this row, a robot named "Cheat" appears to be in a puzzled state.
Welcome to the fourth entry in the tricky logic puzzle series. Test your logical reasoning skills with this light bulb puzzle! This time, Cheat is backl!
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Ant On A Rubber Rope Paradox – How To Solve It?

Published on September 9, 2022 by Hemanth

Ant On A Rubber Rope Paradox - How To Solve It? - An illustration showing a black ant crawling on a pink rope. The ant is crawling at the rate of 1 cm/s, while the rope is stretching at the rate of 1 km/s. Below, the following text is written: "Can the ant make it??"
The Ant on a rubber rope paradox exposes intuition's blind side via mathematical logic. Will a slow-moving ant ever reach the end of a faster stretching rope?
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Can You Really Solve This Tricky Logic Puzzle (III)?

Published on September 8, 2022 by Hemanth

Can You Really Solve This Tricky Logic Puzzle (III)? - An illustration showing four smiling stick figures collectively saying "Every person next to me is a liar!" Below them, the following question is posed: "How many liars?"
Welcome to the third entry in the tricky logic puzzle series. Test your verbal reasoning skills as well as your spatial reasoning skills with this puzzle!
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How To Actually Solve The Bouncing Ball Puzzle?

Published on August 30, 2022 by Hemanth

How To Actually Solve The Bouncing Ball Puzzle? - An illustration showing a ball bouncing multiple times. With each bounce, the height covered by the ball seems to be lower and lower.
The bouncing ball puzzle features a special elastic ball than bounces an infinite number of times. To solve it, you will need a strong grasp of ‘Limits’.
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