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What number comes next in this sequence:

2  5  9  19  37  ?

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Which of the four shapes comes next in this sequence:

Puzzle Copyright © Elliott Line
This puzzle appeared in Mensa's EnigmaSig (193.06) and is used with permission.

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Greenjack Round #2 – Logic Puzzles

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.

All Aces outrank all Kings, which outrank all Queens, which outrank all Jacks, 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:

My card would beat a Green King.
Knowing this, if my card is more likely to be a Jack than a Queen, then my card is actually a King. Otherwise, it isn't.
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.
Who has the higher card, you or your friend?

Puzzle Copyright © E.J. Shamblen

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Art Theft – Logic Puzzles

After a local art theft, six suspects were interviewed.

Below is a summary of their statements.

Police knew that exactly four of them told one lie each, and all the other statements were true.

From this information, can you tell who committed the crime?
Alex said:
   It wasn't Billie
   It wasn't Drew
   It wasn't Emery

Billie said:
   It wasn't Alex
   It wasn't Chris
   It wasn't Emery

Chris said:
   It wasn't Billie
   It wasn't Frankie
   It wasn't Emery

Drew said:
   It wasn't Alex
   It wasn't Frankie
   It wasn't Chris

Emery said:
   It wasn't Chris
   It wasn't Drew
   It wasn't Frankie

Frankie said:
   It wasn't Chris
   It wasn't Drew
   It wasn't Alex

Puzzle Copyright © Kevin Stone

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