Puzzle 5
During a recent BrainBashers race meeting, the fastest driver managed to complete a lap with an average speed of 150 mph.
They managed to complete the first two fifths of the lap at a speed of 123 mph and the second two fifths of the lap at a speed of 164 mph.
At what speed was the final one fifth of the lap length covered?
The answer is not 176 mph.
Puzzle 6
In each of these sentences, can you replace the missing number.
The number is written as a word (e.g. five, twenty-four, thirty-three), and each sentence is correct after the replacement.
This sentence contains ? X.
Slightly trickier, this sentence contains ? R's.
Even trickier, this sentence contains precisely ? E's.
This sentence has exactly ? letters.
This sentence, hopefully, contains ? letters, one hyphen, five commas, and four Y's.
To finish, if this sentence had a T removed, it would contain ? letters!
Puzzle 7
Which of the shapes are identical to the first one?
Puzzle Copyright © Robert A. Hartmann
Puzzle 8
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