You find yourself playing a game with your friend. 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 your friend is dealt one card face down. Your friend then makes some true statements, and you have to work out who has the higher card, you or your friend. It's that simple!

Round 2:
You are dealt the Blue King and your friend makes three statements:

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 you now know, if my card is more likely to beat yours than not, then my card is Red card. Otherwise, it isn't.

After #1 you know that you have the Blue King (BK) and your friend's card is higher than the Green King, so your friend can only have one of the following cards:

RA, RK, BA, OA, OK, GA, GJ.

Therefore by #2 their card is a King.

They are now left one of the following: RK, OK.

Of these two, 1 could beat your card, therefore by #3 their card is not Red.

So your friend must have the Orange King, which your card beats. QED.

Puzzle 2

Combine the word fragments below to produce pairs of words that have opposite meanings. There are 9 pairs of words, one pair on each line.

The first part is the alphabetic position of the first letter of the month, S=19, the second part is the number of letters in the word itself, September=9.

January 10-7
February 6-8
March 13-5
April 1-5
May 13-3
June 10-4
July 10-4
August 1-6
September 19-9

Puzzle 4

Exactly how many minutes is it before seven o'clock, if 40 minutes ago it was three times as many minutes past two o'clock?

Hint: How many minutes are there between 2:00 and 7:00?

Answer: 65 minutes.

There are 300 minutes between 2:00 and 7:00 and we can ignore the "40 minutes ago" for a little while and share the remaining 260 minutes in the ratio 3:1, which is 195:65.

Which means the 5 hours between 2:00 and 7:00 are made of up 195 minutes + 40 minutes + 65 minutes.

Which means it is currently 65 minutes before 7:00. So it is now 5:55 (65 minutes before 7:00).

To double check, 40 minutes ago it was 5:15 - which is 195 minutes after 2:00, as required (as 65 x 3 = 195).

Puzzle 5

You find yourself playing a game with your friend. 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 your friend is dealt one card face down. Your friend then makes some true statements, and you have to work out who has the higher card, you or your friend. It's that simple!

Round 1:
You are dealt the Green Ace and your friend 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.

By #1: your friend's card is higher than any Queen, so your friend can only have one of these cards: Red Ace, Blue Ace, Orange Ace, Red King, Blue King, Orange King, Green King, Green Jack.

By #2: 4 of these 8 cards could beat your card, so your friend's card is not more likely to beat yours, so your friend's card is not blue. Leaving Red Ace, Orange Ace, Red King, Orange King, Green King, Green Jack.

By #3: of the remaining 6 cards, your card can beat 3, so your card is not more likely to beat your friend's, so your friend's card is not a King. Leaving Red Ace, Orange Ace, Green Jack - all of which beat your card. QED.

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