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You find yourself at the Greenjack table. Greenjack is similar to Blackjack, except that it is completely different. It is played with a deck of only 16 cards, divided into 4 suits: Red, Blue, Orange and Green. There are four cards in each suit: Ace, King, Queen and Jack. Ace outranks King, which outranks Queen, which outranks Jack - except for the Green Jack, which outranks every other card. If two cards have the same face value, then Red outranks Blue, which outranks Orange, which outranks Green, again except for the Green Jack, which outranks everything.
Here's how the game is played: you are dealt one card face up, and the dealer is dealt one card face down. The dealer then makes some true statements, and you have to work out who has the higher card, you or the dealer. It's that simple!
Round 1:
You are dealt the Green Ace and the dealer makes three statements:
1. My card is higher than any Queen.
2. Knowing this, if my card is more likely to beat yours, then my card is Blue. Otherwise it isn't.
3. Given all of the information you now know, if your card is more likely to beat mine, then my card is a King. Otherwise it isn't.
Who has the higher card, you or the dealer?

[Ref: ZGQN] © E.J. Shamblen Website: www.puzzlemonster.com

The dealer: After #1 you know that you have the Green Ace (GA) and the dealer's card is higher than any Queen, so the dealer can only have one of the following cards: RA, RK, BA, BK, OA, OK, GK, GJ. Of these eight, 4 could beat your card, therefore by #2 their card is not Blue. They are now left one of the following: RA, RK, OA, OK, GK, GJ. Of these six, 3 could beat your card, therefore by #3 their card is not a King. So the dealer has one of the following: RA, OA, GJ, all of which can beat your card. QED.

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