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Random Puzzles 


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Puzzle 1 


What is the smallest positive integer which …

… when multiplied by 3 gives a number consisting of only 4's?

Puzzle Copyright © Kevin Stone

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Puzzle 2 


James, Simon, Ian, and William all like walking.

But Dave, Steven, Alan, and Alastair do not.

Does Adrian?

Puzzle Copyright © Kevin Stone

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Puzzle 3 


Many years ago, a cruise liner sank in the middle of the Atlantic Ocean. The castaways luckily landed on a remote desert island.

There was enough food for the 135 people to last four weeks.

Nine days later a rescue ship appeared, unluckily this ship also sank, leaving an additional 36 people stranded on the island to now share the original rationed food.

The food obviously had to be re-rationed, everyone was now on three-quarters of the original ration, so how many days in total would the food last, from the day of the original sinking?

Puzzle Copyright © Kevin Stone

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Puzzle 4 


Alex and Billie have to empty all of the bookshelves in the library, and move the books into storage.

Alex, on her own, can empty the bookshelves in 18 hours.

Billie, on her own, can also empty the bookshelves in 18 hours.

Unfortunately, Drew likes to move the books from storage back onto the bookshelves, and she can refill the bookshelves in 36 hours.

How long will it take the three of them, working at the same time, to empty the bookshelves?

Puzzle Copyright © Kevin Stone

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