1. F (Prof Frink)
2.
3. Apu (programed tic-tac-toe game)
4.

1) F. Professor Frink (Professor Frink, Professor Frink, he'll make you laugh, he'll make you think.) He also discovered the "cube" or "frinkahedron."
2) Walnut (next to, or across the street from, King Toot's)
3) Apu
4) Shmoikel Pinkus Yerucham

1) False, for cryin' out Glayven!
2) What Keith said
3) Apu Nehasapeemahpetalan (spelt fonetikly)
4) uh, Glayven?

1) That is certainly possible
2) The Street without Joy (obscure Bernard Fall reference)
3) Slingin' Sammy Baugh
4) Krunchy

2) Except for one episode where Moe's was next door to the Simpsons' house, so that would make the address Evergreen Terrace.

4) Hershal Krustowski (or is that his dad?)

Official Trivia Card answers:
1) False; Professor Frink is the nutty inventor
2) Walnut [although Stephen is also correct with his Evergreen Terrace observation]
3) Apu
4) Schmoikel