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Logic Games 5 Question Challenge

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.

Questions

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.

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

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

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.

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.

Get the answers to these Logic Games practice questions!

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