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Puzzle 17 


Musical RecitalLogic 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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Puzzle 18 


If you write all of the numbers from 1 to 100 as words: ONE, TWO, THREE, …, ONE HUNDRED:

Which number is first alphabetically?
Which number is last alphabetically?
Which is the most common letter?
Which is the least common letter, and which number does it appear in?
Which letter is never used?
What is the total number of letters?
Which number is the longest?
How many numbers start with the letter T?
How many numbers contain the letter V?
100 is the first number to contain the letter N, what is the last number before 100 to contain a new letter for the first time?
If we carry on writing, when does the letter A first appear?
If we carry on writing, when does the letter B first appear?
Some questions have more than one answer, can you find them all?

Puzzle Copyright © Kevin Stone

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Puzzle 19 


After a recent marathon, the following was noted.

Alex finished after Frankie. Drew finished after Hayden. Frankie finished after Billie. Hayden finished before Alex. Billie finished after Hayden. Billie finished before Alex. Frankie finished before Drew. Alex finished before Drew.
Who finished where?

Puzzle Copyright © Kevin Stone

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Puzzle 20 


What number comes next in this sequence:

31  30  31  31  ?
Clue: the answer is NOT 30!

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