BrainBashers - Random Puzzles

Puzzle 5

Imagine a chessboard of size 20 x 20 instead of the normal 8 x 8.

How many squares, of any size, are there in total?

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???

Puzzle 6

Which letters come next in this sequence:

NE US RN ER RS ?

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Puzzle 7

What is made from nothing …

… yet you can see it?

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Puzzle 8

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

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