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Puzzle 21 


Fill in the missing numbers with the digits 1 to 9. A diamond shape in the middle means that the four numbers around it add to 20.

Each uses a different way to add to 20, if there is already 1 + 3 + 7 + 9, then there will not be another using the digits 1, 3, 7 and 9 (in any order).

The same digit isn't allowed to touch, even diagonally.

Puzzle Copyright © Elliott Line
This puzzle appeared in Mensa's EnigmaSig (195.08) and is used with permission.

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Puzzle 22 


Downhill Mountain Bike Race - Logic Puzzles

At the recent BrainBashers downhill mountain bike race, four entrants entered the challenging slalom event.

Alex finished in first position.
The entrant wearing number #2 wore red, but Drew didn't wear yellow.
The person in last place wore blue, and Stevie wore number #1.
Glen beat Stevie, and the person who finished in second wore number #3.
The entrant in yellow beat the entrant in green.
Only one of the entrants wore the same number as their final position.
Can you determine who finished where, the number, and colour they each wore?

Puzzle Copyright © Kevin Stone

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Puzzle 23 


Can you find a word which can go in front of each of these words to make a new word?

colour cress fall proof shed way

Puzzle Copyright © Kevin Stone

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Puzzle 24 


Greenjack Round #3 - 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 3:
You are dealt the Red Queen and your friend makes three statements:

My card could lose to a Blue card.
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.
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.
Who has the higher card, you or your friend?

Puzzle Copyright © E.J. Shamblen

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