A famous athlete has 6 trophies to place on an empty 3-shelf display case. The 6 trophies are bowling trophies F, G, and H and tennis trophies J, K, and L. The three shelves of the display case are labeled 1 to 3 from top to bottom. Any of the shelves can remain empty if needed. The athlete's placement of trophies must follow the following conditions: 1. J and L cannot be on the same shelf.
2. F must be on the shelf immediately above the shelf that L is on.
3. No single shelf can hold all three bowling trophies.
4. K cannot be on Shelf 2.

1. Now, if we know that 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.
e. F and K are on the same shelf.

2. If no tennis trophies are on Shelf 3, which pair of trophies must be on the same shelf?

a. F and G
b. L and H
c. L and G
d. K and J
e. G and H

3. If J is on shelf 2, which of the following must also be on Shelf 2?

a. K
b. G
c. F
d. L
e. H