LSAT Logic Games : Solving four- and five-variable logic games
Study concepts, example questions & explanations for LSAT Logic Games
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Example Questions
Example Question #501 : Linear Games
Over the course of four weeks, each of seven television programs will be aired to a focus group for help in coming up with a title. The programs are identified as G, H, J, K, L, M, and O. A different pair of these programs will be aired each week. Exactly one of the programs will be a member of two of these four pairs. The following constraints must be observed:
J is not aired during a given week unless H is aired during the week immediately preceding J’s airing.
The show that is aired during two of the weeks is aired during week 4 but is not aired during week 3.
G is not aired during a given week unless either J or else O is also aired during that week.
K is aired during one of the first two weeks.
O is one of the programs aired during week 3.
Which one of the following is a program that could be aired in any of the four weeks?
O
H
K
J
L
L
This question can be effectively attacked by using deductions that are required to answer the other questions associated with this game. Based on the rules and the deductions, the following entities have restrictions attached to them: G, H, J, K, and O. Accordingly, L is the correct answer.
Example Question #72 : Solving Four And Five Variable Logic Games
Over the course of four weeks, each of seven television programs will be aired to a focus group for help in coming up with a title. The programs are identified as G, H, J, K, L, M, and O. A different pair of these programs will be aired each week. Exactly one of the programs will be a member of two of these four pairs. The following constraints must be observed:
J is not aired during a given week unless H is aired during the week immediately preceding J’s airing.
The show that is aired during two of the weeks is aired during week 4 but is not aired during week 3.
G is not aired during a given week unless either J or else O is also aired during that week.
K is aired during one of the first two weeks.
O is one of the programs aired during week 3.
Which one of the following is a pair of shows that could be aired during the same week as each other?
M and O
H and J
G and H
K and O
H and O
M and O
"G and H" can be eliminated because G must be paired with either J or O. "J and H" can be eliminated because if J and H were paired, then H would appear in both weeks 1 and 2 and that violates the rules. Neither H nor K can be aired in week 3. That eliminates two answer choices: "H and O" and "K and O."
M and O remains as the correct answer.
Example Question #72 : Four & Five Variable
Five basketball players - Adams, Griffin, Jones, Smith, and Washington - were ranked in five statistical categories: points, rebounds, assists, steals, and blocks. Each player was the leader in one category and there were no ties. No other players were considered for the purpose of these rankings. The rankings of the players met the following conditions:
Smith ranked higher in points than in rebounds.
Griffin had a better ranking in rebounds than in assists and steals.
Adams was not the highest point scorer.
Washington was ranked last in blocks.
Which player could be the leader in potentially any category?
Smith
Adams
Washington
Griffin
Jones
Jones
The correct answer is: Jones.
Each player is the leader of one category. Smith ranked higher in points than in rebounds. Therefore, Smith cannot be the leader in rebounds. Griffin ranked higher in rebounds than in assists and steals. Therefore, Griffin cannot be the leader in assists or steals. Adams was not the highest point scorer. Therefore, Adams cannot be the leader in points. Washington ranked last in blocks. Therefore, Washington cannot be the leader in blocks. Thus, the correct answer is Jones.
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