### Logic (2020)

Joseph, Kevin, and Nicholas are $3$ 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 $1^\text{st}$ or $3^\text{rd}.$

# Warmup Puzzles

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.

How many false statements are there in the list above?

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