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Mathematical Puzzles


Difficulty: MediumPuzzle 33

Puzzle IconThe BrainBashers mechanical computer is a very sensitive device, it consists of interlocked toothed gear cogs.

The largest cog has 63 teeth and the others have 42, 35 and 27 respectively.

By accident, Daniel started to rotate the largest cog.

How many revolutions must he rotate the largest cog make before the computer is back in its starting position with all of the cogs where they started?

[Ref: ZTLC] Copyrighted

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Difficulty: MediumPuzzle 34

Puzzle IconThe local library decided to hand out some of its old books to its 1400 borrowers.

To each of the female borrowers they gave 6 books and to each male borrower they gave 4 books.

If only half of the females in town and three quarters of the males in town accepted the books, how many books were given away?

[Ref: ZNXG] © Kevin Stone

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Difficulty: EasyPuzzle 35

Puzzle IconAt dawn on Monday a snail fell into a bucket that was 12 inches deep.

During the day it climbed up 3 inches, however, during the night it fell back 2 inches.

On what day did the snail finally manage to climb out of the bucket?

[Ref: ZQGM]

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Difficulty: MediumPuzzle 36

Puzzle IconA farmer was asked how many chickens he had sold at market that day.

His reply was:

"I've had four customers today, and each bought half of my remaining chickens, plus a half chicken."

The farmer sold all of his chickens at market that day. How many chickens did the farmer sell?

[Ref: ZVAK] © Kevin Stone

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