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Here's a question directly off the practice SAT...
Multiple choice: 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 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 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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