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Difficulty: MediumPuzzle 329

I have a machine which has four sequential cog wheels in constant mesh.

The largest cog has 168 teeth and the others have 49, 32 and 15 respectively.

How many revolutions must the largest cog make before each of the cogs is back in its starting position?

?

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[Ref: ZTFU] © Kevin Stone 



Difficulty: EasyPuzzle 330

Starting with the 6 in the bottom left corner, what is the highest total you can make, if you only move up or right, using the mathematical signs on the way?

?

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[Ref: ZWYX] © Kevin Stone 



Difficulty: EasyPuzzle 331

A woman had three old coins - a silver dollar, a quarter, and a dime. Each coin was a little battered and had a piece missing. She found that exactly the same fraction had broken away from each coin.

What fraction of each was missing if the value of the remaining bits of coins was now exactly one dollar in total?

For this puzzle it can be assumed that ½ of a coin is worth ½ of its value.

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[Ref: ZQJS] Based on a puzzle by Henry Ernest Dudeney. 



Difficulty: EasyPuzzle 332

What is represented by this BrainBat?

  C
CAVE

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[Ref: ZSDS] © Kevin Stone 


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