LSAT

Logic Games Practice Questions

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 labeled 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.

1. 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.
E. F and K are on the same shelf.

2. If no tennis trophies are on Shelf 3, which pair 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

4. If Shelf 1 remains empty, which of the following must be FALSE?

A. H and F are on the same shelf.
B. There are exactly three trophies on Shelf 2.
C. G and H are on the same shelf.
D. There are exactly two trophies on Shelf 3.
E. G and K are on the same shelf.

5. If L and G are on the same shelf, and if one of the shelves remains empty,
which of the following must be true?

A. If H is on Shelf 3, then J is on Shelf 2.

B. K and L are on the same shelf.
C. If H is on Shelf 2, then J is on Shelf 3.
D. F and K are on the same shelf.
E. If J is on Shelf 2, then H is on Shelf 1.

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