Puzzle 797
What occurs twice in a lifetime, but once in every year.
Twice in a week but never in a day?
Puzzle 798
Snail Raceall logic puzzles
At last year's BrainBashers snail race, 10 fine snails completed the tabletop course.
Predictably, as per every year, the results mysteriously went missing.
However, various spectators remembered the following snippets of information:
Orange Berry lost to Zebra Wings.
Zebra Wings beat Orange Berry, Frog Flippers and Apple Pie.
Fizzy Pop lost to Minty Mouth, Orange Berry and CD Player.
Frog Flippers beat Windy Hill, CD Player and Orange Berry.
Top Hat lost to CD Player, Kipper Slippers and Apple Pie.
CD Player beat Top Hat and Fizzy Pop.
Apple Pie lost to Zebra Wings and Orange Berry.
Kipper Slippers lost to Apple Pie and Frog Flippers.
Frog Flippers beat Fizzy Pop, Minty Mouth and CD Player.
CD Player lost to Frog Flippers, Kipper Slippers and Apple Pie.
Top Hat beat Fizzy Pop and Windy Hill.
Minty Mouth lost to Windy Hill and Orange Berry.
Windy Hill lost to Apple Pie and CD Player.
Can you work out who finished where?
Puzzle 799
I am compiling the BrainBashers world almanac and it now contains quite a few pages. But just how many?
I know that it takes 121 digits to print all of the page numbers in sequence.
So, how many numbered pages does the book have, and how many times does the number 9 appear?
Puzzle 800
Which is larger …
… the tenth root of 10, or the cube root of 2?