Random Puzzles 

If it took …

… Alex, Billie and Charlie exactly 60 minutes to dig a hole …

how long would it take for them …

… to dig half a hole?

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How many people must be at a party before you are likely to have two having the same birthday (but not necessarily the same year)?

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Musical Recital – Logic Puzzles

At a musical recital five students (John, Kate, Larry, Mary, and Nick) performed five musical pieces. Two by Bach, two by Mozart and one by Vivaldi. There were three violinists and two pianists. Each student performed only one piece, and played only one instrument. Find the order of the students, their respective instruments and the composer, with the following conditions:

The composers were not played consecutively. Vivaldi was played last and Mozart was played first.
There was one piano piece that was played between two violin pieces, and two violin pieces between the first and last piano piece.
There were no piano pieces by Mozart.
Kate played third.
John played a piece by Mozart, and was immediately followed by Nick, who played the piano.
Mary did not play a piece by Vivaldi.

Puzzle Copyright © Chris Joh

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I recently travelled from my home town to a distant music concert, on a pedal tricycle, of all things! My wonderful, three-wheeled tricycle.

I knew that the epic 2,345 mile trip would wreak havoc on the tyres, but luckily I took along 4 spares!

Instead of waiting for any single tyre to fail, I decided that I would rotate the tyres evenly, making sure that by the end of the trip, all seven tyres had travelled exactly the same distance.

What was the distance that each tyre travelled?

Puzzle Copyright © Kevin Stone

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