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Warmup Puzzles


Kevin, Joseph, and Nicholas are 3 brothers. If the following statements are all true, which of them is the youngest?

  • Kevin is the oldest.
  • Nicholas is not the oldest.
  • Joseph is not the youngest.

Merlin realizes that all Alakazams are Open Sesames, and some Hocus Pocuses are Alakazams.

Is it true that some Hocus Pocuses are Open Sesames?

Note: There is at least one of each item.

Our exploration of logic starts with a love of puzzles, and then builds up to explore: strategy games, truth tellers/liars riddles, common logical fallacies, and more!

Working through these problems will strengthen your skill at organizing and formalizing logical reasoning.

One of the women above is named Kaylee and the other is named Inara. They each make a statement as shown; if we know that at least one of them is a lie, what is the color of the shirt that Inara is wearing?

5 brothers compare their heights and find that

  • Alex is taller than Brian but shorter than Charlie;
  • Daniel is taller than Edward but shorter than Alex.

Who is the tallest?

  1. There is exactly 1 false statement in this list.
  2. There are exactly 2 false statements in this list.
  3. There are exactly 3 false statements in this list.

Exactly how many false statements are there in the list above?


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