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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 3:
You are dealt the Red Queen and your friend makes three statements:
1. My card could lose to a Blue card.
2. Knowing this, if I am more likely to have an Ace or a King than a Queen or a Jack, then I have an Orange card. Otherwise, I don't.
3. Given all of the information you now know, if I am more likely to have a Jack than an Ace, then I actually have a King. Otherwise, I don't.
Hint: What cards can your friend have at the start?
Answer: Your friend.
After #1 you know that you have the Red Queen (RQ), and your friend's card could be beaten by a blue card, so your friend can only have one of the following cards:
RK, RJ, BK, BQ, BJ, OA, OK, OQ, OJ, GA, GK, GQ.
Of these 12 cards there are 6 Aces or Kings, therefore by #2 their card is not orange.
Your friend now has one of the following cards:
RK, RJ, BK, BQ, BJ, GA, GK, GQ.
Of these 8 cards there are 2 Jacks and 1 Ace, therefore by #3 their card is a King, which beats your Queen. QED.
Puzzle 2
Below, 10 countries have been broken into chunks of letters.
These chunks have been mixed up, no chunk is used twice and all chunks are used.
Can you determine what the 10 countries are?
EZU ITZ ZIL ELA BRA GI IA FI
PAN MBA BEL AND BER ZI NL BO
CAM VEN DIA AND UM SW
BWE MEX ERL ICO JA LI
Hint: The countries begin with the letters: B, M, B, J, C, S, Z, V, F, L.
Answer:
BEL + GI + UM = BELGIUM
MEX + ICO = MEXICO
BRA + ZIL = BRAZIL
JA + PAN = JAPAN
CAM + BO + DIA = CAMBODIA
SW + ITZ + ERL + AND = SWITZERLAND
ZI + MBA + BWE = ZIMBABWE
VEN + EZU + ELA = VENEZUELA
FI + NL + AND = FINLAND
LI + BER + IA = LIBERIA
Puzzle 3
A man drove from Aardvark to Beeville.
On the first day he travelled 1/3 of the distance.
On day two he travelled 1/2 of the remaining distance.
On day three he travelled 2/3 of the remaining distance.
On day four, after covering 3/4 of the remaining distance, he was still 5 miles away from Beeville.
Hint: Try seeing how many baths can be filled in 24 hours.
Answer: 6 minutes.
In 24 hours, the cold tap could fill 120 baths, the hot tap could fill 180 baths and the plug could drain 60 baths.
Therefore, in 24 hours, we have 120 + 180  60 baths full = 240 baths.
Therefore each bath would take 6 minutes to fill.
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