A community centre quiz evening, teams were awarded five points for a correct answer, no points for no answer, and minus two points for an incorrect answer. The teams marked their own score sheets. I arrived late and the scores after seven questions were shown on the board as follows: Happy Hunters 28 Ignorant Idlers 18 Jumping Jacks 16 Kool Kats 12 Lazy Lurkers -1 a. One team was clearly not even clever enough to calculate their score correctly. Which one was it?
b. Which other scores between -14 and 35 are also not possible when seven answers have been checked?