040 - Greenjack

Some time ago, Farmer Joe made the mistake of gambling against one of his regular customers.

The game was Greenjack, a popular betting game in Serendipity. It is played with a deck of only 16 cards, divided into four 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.

Farmer Joe, who is not the dealer, is dealt a card face up which both players can see. The dealer deals themselves a card, which they look at and then place face down. The dealer then makes three true statements which are capable of identifying which card is higher. If Farmer Joe correctly identifies which card is higher from the statements, he wins; otherwise he loses.

On this occasion, Farmer Joe was dealt the Blue King.

The dealer said:

1) My card would beat a Green King.
2) Knowing this, if my card is more likely to be a Jack than a Queen, then my card is a King. Otherwise, it isn't.
3) Given all of the information that you now know, if my card is more likely to beat yours than not, then my card is Red. Otherwise it isn't.

Farmer Joe got it wrong and lost the bet. Can you do better? Who holds the higher card?

031 - Crackling

Farmer Joe keeps jars full of pre-prepared pork crackling to serve as entrees at Farmer Joe's BBQ Porkatorium.  One jar contains honey-marinated crackling, one jar contains peppered crackling, and one contains a mixture of both.

Unfortunately, Zephyr Cantrell, a regular customer with an odd sense of humour, has switched the labels on Farmer Joe's crackling jars.  According to Zephyr, each of the three jars now bears an incorrect label.  The three labels are "Honey-Marinated", "Peppered" and "Mixed".

Farmer Joe is keen not to waste any of his beloved pork crackling.  Unfortunately, the only way to tell honey-marinated crackling from peppered crackling is to taste it.

From the jar bearing which label should Farmer Joe taste a piece of crackling in order to correctly re-label all three jars?

025 - Blowout

Farmer Joe has 15 four-hour candles.

At 7 pm, Farmer Joe lights all his candles.

At 9 pm, he extinguishes one third of them.

At 10 pm, a breeze blows out half of those still burning.

At 11 pm, how many candles does Farmer Joe have left?

017 - Pork Grill

Tired of complicated inter-jurisdictional swinekeeping legislation, Farmer Joe has converted his pig farm into a restaurant. Farmer Joe's BBQ Porkatorium is now the premier pig-themed eatery in Oddsville.

Farmer Joe's secret is his ability to cook pork chops in record time, despite the tiny size of the kitchen's pork grill.

The pork chops used in Joe's delicious Porkgasm Surprise need to be grilled for 10 minutes on one side, and then 10 minutes on the other. The pork grill can only hold two chops at once.

Nevertheless, when three customers simultaneously order the Porkgasm Surprise, Joe is able to prepare it surprisingly quickly. What is the fastest time in which Joe can complete the grilling of three pork chops on his pork grill?

004 - Pigs In A Poke

Farmer Joe's Pig Farm lies on the border of Oddsville and Four Hills, and is thus subject to the laws of both towns.  Four Hills requires all pig farms to have exactly four pig pens, no more, no less.  Oddsville requires that all pig pens hold an odd number of pigs greater than zero.

Farmer Joe has 21 pigs.  How can he comply with both laws without moving his farm, changing his business, or gaining or losing pigs?