Puzzle 701
What number comes next in this sequence:
1 · 2 · 6 · 24 · 120 · ?
Puzzle 702
During the recent BrainBashers cipher convention, a binary code contest took place.
The contest consisted of a binary code transmission where the spaces between the letters were missing and there was no punctuation.
Each letter of the alphabet was translated into its binary equivalent based on its position in the alphabet. The resulting code was then blocked in groups of five digits.
a=1, b=10, c=11, d=100, e=101, f=110, g=111, h=1000, i=1001, j=1010, k=1011, l=1100, m=1101, n=1110, o=1111, p=10000, q=10001, r=10010, s=10011, t=10100, u=10101, v=10110, w=10111, x=11000, y=11001, z=11010
Can you find 10 boy's names?
11010 01011 11010 11
10101 11011 01100 11
10101 10011 11111 110
10011 10100 10110 11010 1
10011 01101 00110 0
10000 10110 10010 11001 0
11100 01001 01001 10011
10101 11111 110
10111 01101 10100 11110
10100 10100 11111 0
Puzzle 703
Our local scrap merchant had to travel to the county recycling plant, 60 miles away.
On the way there, the wagon was fully laden, so could only manage a steady 12mph.
On the way back, the wagon was much lighter and could manage a steady 16mph.
The wagon started with 24 gallons of fuel in the tank ready for the round trip, which was easily enough fuel as the wagon managed to travel 8 miles for each gallon.
Unfortunately, a piece of metal had pierced the fuel pipe at the very start of the trip, and the wagon began to lose 1 gallon of fuel every hour.
Luckily, it only lost fuel when moving and lost no fuel while unloading the scrap metal.
Were the 24 gallons enough for the entire round trip?
Puzzle 704
If Malcolm, Laura, John, Alan, Brenda and Kevin like chocolate …
… and Norman, Steve, Thomas, Zebedee do not …
… does Peter like chocolate?