Logic (2020)

Joseph, Kevin, and Nicholas are 3 3 brothers, and the following statements about them are all true:

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

Warmup Puzzles


One of the women above is named Kaylee and the other is named Inara. They each make a statement about who they are as shown.

We know that at least one of them is lying. What color is Inara's dress?

Warmup Puzzles


The next three problems gradually increase in difficulty, and all of them are more challenging than the warm-ups you just solved.

It's worth the effort. The most effective learning experiences are often those times when you get a problem wrong, and then challenge yourself to read, understand, and learn from the solution.

Warmup Puzzles


Arrange the cards to make the following true:

  • The king is in one of the two middle spaces.
  • The queen is left of the jack and right of the ace.
  • The ace is directly next to the queen.

(Note: Left and right are from the player's perspective).

Warmup Puzzles


Five friends competed in a race.

  • Pyrrha finished faster than Blake.
  • The smallest difference in finishing times was between Pyrrha and Ruby.
  • The largest difference in finishing times was between Ruby and Weiss.
  • Yang finished either 1st1^\text{st} or 3rd.3^\text{rd}.

Warmup Puzzles

  1. There is exactly 11 false statement in this list.
  2. There are exactly 22 false statements in this list.
  3. There are exactly 33 false statements in this list.

How many false statements are there in the list above?

Warmup Puzzles


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