An athlete has six trophies to place on an empty three-shelf display case. The six trophies are bowling trophies F, G, and H and tennis trophies J, K, and L. The three shelves of the display case are labelled 1 to 3 from top to bottom. Any of the shelves can remain empty. The athlete's placement of trophies must conform to the following conditions:

J and L cannot be on the same shelf
F must be on the shelf immediately above the shelf that L is on.
No single shelf can hold all three bowling trophies
K cannot be on Shelf 2

If G and H are on Shelf 2, which of the following must be true?

A) K is on Shelf 1.
B) L is on Shelf 2.
C) J is on Shelf 3.
D) G and J are on the same shelf.