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Difficulty: HardPuzzle 417

You have 12 coins, one of which is fake.

The fake coin is indistinguishable from the rest except that it is either heavier or lighter, but you don't know which.

Can you determine which is the fake coin and whether it is lighter or heavier using a balance scale and only 3 weighings?

Puzzle Image

[Ref: ZLKY]

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Difficulty: EasyPuzzle 418

Puzzle IconDaft Dave did such a good job of the housing estate, he was asked to paint the room numbers on all of the doors of the fourth floor of the local hotel.

He painted all of the numbers from 400 to 499.

How many times did he paint the number 4?

[Ref: ZULZ] © Kevin Stone

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Difficulty: EasyPuzzle 419

How many squares, of any size, can be found on a standard chess board?

How many rectangles, of any size, can be found on a standard chess board?

Remember when counting the rectangles, that squares are also rectangles.

Chess Board

[Ref: ZLYW]

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Difficulty: EasyPuzzle 420

In this picture you can see 6 coins. Moving just ONE coin, can you form 2 lines, each with 4 coins?

?

[Ref: ZQLT]

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