Problem Solving Brain Teasers

His riddle involving Achilles, the character from Homer's and a tortoise went something like: The tortoise challenged Achilles to a race and Achilles, full of typical hubris, accepted and even gave the Tortoise a 10 foot head start.Before the race started, the tortoise told Achilles that the reason Achilles would lose is that even though Achilles would be catching up, the tortoise would always be moving ahead.The most common digit is '1.' Can you figure out why?

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In fact, one of the earliest brainteaser enthusiasts was Greek mathematician Archimedes, who used to devise mathematical problems for his fellow citizens to solve. The Cambridge dictionary definition states brainteasers to be “”.

Brainteasers are therefore types of puzzles and they require plenty of thought to answer.

The focus of a brainteaser is usually on a puzzle or a specific problem.

This excludes many other types of questions, which might be challenging, but won’t count as a brainteaser.

Therefore, Achilles would always be covering a fraction of the distance between the two.

Let's say he covered half of the distance in 1 second (5 feet) and then in the next he covered half of the new distance, the remaining 5 feet plus the Tortoise's new distance.

The beginning of her journey is shown in the gif below.

Zeno's paradox of Achilles and the Tortoise Quick summary of riddle: Zeno of Elea (490-425 BC) is known for creating many paradoxes which were debated by mathematicians for centuries.

What digit is the most frequent between the numbers 1 and 1,000 (inclusive)?

To solve this riddle you don't want to manually do all of the math but rather try to figure out a pattern.