LSAT® Logic Games Practice Questions

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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


Question 1

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

1. K is on Shelf 1
2. L is on Shelf 2
3. J is on Shelf 3
4. G and J are on the same shelf
5. F and K are on the same shelf

Question 2

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

1. F and G
2. L and H
3. L and G
4. K and J
5. G and H

Question 3

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

1. K
2. G
3. F
4. L
5. H

Question 4

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

1. H and F are on the same shelf
2. There are exactly three trophies on Shelf 2
3. G and H are on the same shelf
4. There are exactly two trophies on Shelf 3
5. G and K are on the same shelf

Question 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?

1. If H is on Shelf 3, then J is on Shelf 2.
2. K and L are on the same shelf.
3. If H is on Shelf 2, then J is on Shelf 3.
4. F and K are on the same shelf.
5. If J is on Shelf 2, then H is on Shelf 1.