Puzzle 1
Musical Recitalall 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
Puzzle 2
Each of these words can be split in half, and two letters can be placed in the middle to create a new six-letter word.
The four added pairs of letters, in order, spell an 8-letter word. What is that word?
lend
liar
pale
coin
For example:
door + ct = do + ct + or = doctor
suit + nl = su + nl + it = sunlit
Puzzle 3
Many years ago, a cruise liner sank in the middle of the ocean.
The castaways luckily landed on a remote desert island.
There was enough food for the 220 people to last three weeks.
Six days later a rescue ship appeared, unluckily this ship also sank, leaving an additional 55 people stranded on the island to now share the original rationed food.
The food obviously had to be re-rationed, but everyone was now on one-half of the original ration, so how many days in total would the food last for, from the day of the original sinking?