All LSAT Logic Games Resources
Example Questions
Example Question #22 : Four & Five Variable
A popular band is preparing for a nationwide music tour. The tour must include the following five states: California, Florida, Illinois, New York, and Texas. The tour will conclude in one state before moving to the next state. The following restrictions apply to the tour dates:
The tour must start in New York or California.
Texas cannot be the final state.
Texas and Illinois must be consecutive, with either coming first.
Florida must be after New York.
New York and California must not be consecutive to each other.
How many possible positions in the tour sequence can California be in?
Two
One
Three
Four
Five
Four
California can be in four possible positions: First, Third, Fourth, and Fifth. California cannot be in second, because then New York would be first and the two cannot be consecutive to each other.
Example Question #23 : Four & Five Variable
A popular band is preparing for a nationwide music tour. The tour must include the following five states: California, Florida, Illinois, New York, and Texas. The tour will conclude in one state before moving to the next state. The following restrictions apply to the tour dates:
The tour must start in New York or California.
Texas cannot be the final state.
Texas and Illinois must be consecutive, with either coming first.
Florida must be after New York.
New York and California must not be consecutive to each other.
Which state(s) may not be in the third position in the tour sequence?
Florida only
New York only
Illinois only
New York and Florida
Texas and Illinois
New York and Florida
New York and Florida cannot be in the third position. If New York is in the third position, then California must be first, and either Florida will not be after New York or Texas and Illinois will not be consecutive to each other. Florida cannot be in the third position because then either New York or California will be consecutive to each other, or Texas and Illinois will not be consecutive to each other.
Example Question #24 : Four & Five Variable
A popular band is preparing for a nationwide music tour. The tour must include the following five states: California, Florida, Illinois, New York, and Texas. The tour will conclude in one state before moving to the next state. The following restrictions apply to the tour dates:
The tour must start in New York or California.
Texas cannot be the final state.
Texas and Illinois must be consecutive, with either coming first.
Florida must be after New York.
New York and California must not be consecutive to each other.
Which state(s) can be in the most possible positions in the tour sequence?
California only
New York only
Illinois and California
Florida and California
Florida only
Illinois and California
Illinois and California can be in the most possible positions. Both Illinois and California may be in four possible positions.
Example Question #25 : Four & Five Variable
A popular band is preparing for a nationwide music tour. The tour must include the following five states: California, Florida, Illinois, New York, and Texas. The tour will conclude in one state before moving to the next state. The following restrictions apply to the tour dates:
The tour must start in New York or California.
Texas cannot be the final state.
Texas and Illinois must be consecutive, with either coming first.
Florida must be after New York.
New York and California must not be consecutive to each other.
If California is the first tour date, which position(s) can Florida be in?
Fifth only
Second or fifth
Second only
Fourth or fifth
Fourth only
Fifth only
If California is the first tour date, then Florida cannot be second, third, or fourth. Therefore, Florida may only be in the fifth position.
Example Question #26 : Four & Five Variable
Four baseball players are the leaders in five statistical categories. Each player is the leader in at least one category. The players are Howard, Jennings, Robinson, and Sanchez. The categories are home runs (HR), runs batted in (RBI), runs scored (R), doubles (2B), and stolen bases (SB). You are aware of the following facts regarding the players' statistics:
Howard hit more home runs than Robinson.
Sanchez had more runs scored than Howard.
Jennings finished last in the categories of home runs and runs batted in.
Robinson had twice as many stolen bases as Jennings.
Sanchez hit more doubles than Robinson and Howard.
Which player could potentially be the leader in any (not each) category?
Sanchez
Howard
None of the players
Robinson
Jennings
Sanchez
While no player could be the leader in each category at the same time, Sanchez could potentially be the leader in any category, including home runs, runs batted in, runs scored, doubles, and stolen bases.
Example Question #27 : Four & Five Variable
Four baseball players are the leaders in five statistical categories. Each player is the leader in at least one category. The players are Howard, Jennings, Robinson, and Sanchez. The categories are home runs (HR), runs batted in (RBI), runs scored (R), doubles (2B), and stolen bases (SB). You are aware of the following facts regarding the players' statistics:
Howard hit more home runs than Robinson.
Sanchez had more runs scored than Howard.
Jennings finished last in the categories of home runs and runs batted in.
Robinson had twice as many stolen bases as Jennings.
Sanchez hit more doubles than Robinson and Howard.
In which category could any player potentially be the leader?
Doubles
None of the categories
Runs Batted In
Stolen Bases
Runs
None of the categories
There is no category in which any player could potentially be the leader. There is at least one player who could not be the leader in each category to choose from, as well as in home runs.
Example Question #31 : Solving Four And Five Variable Logic Games
Four baseball players are the leaders in five statistical categories. Each player is the leader in at least one category. The players are Howard, Jennings, Robinson, and Sanchez. The categories are home runs (HR), runs batted in (RBI), runs scored (R), doubles (2B), and stolen bases (SB). You are aware of the following facts regarding the players' statistics:
Howard hit more home runs than Robinson.
Sanchez had more runs scored than Howard.
Jennings finished last in the categories of home runs and runs batted in.
Robinson had twice as many stolen bases as Jennings.
Sanchez hit more doubles than Robinson and Howard.
Which of the following could be a correct representation of the leaders in each statistical category?
Robinson in HR; Sanchez in R and RBI; Jennings in 2B; Howard in SB.
Howard in HR and R; Sanchez in RBI; Jennings in 2B; Robinson in SB.
Sanchez in HR and R; Jennings in RBI; Howard in 2B; Robinson in SB.
Sanchez in HR and RBI; Jennings in R; Robinson in 2B; Howard in SB.
Howard in HR; Sanchez in RBI; Jennings in R and 2B; Robinson in SB.
Howard in HR; Sanchez in RBI; Jennings in R and 2B; Robinson in SB.
The correct answer is: Howard in HR; Sanchez in RBI; Jennings in R and 2B; Robinson in SB. All the other choices would not correspond with one of the listed facts.
Example Question #32 : Solving Four And Five Variable Logic Games
Four baseball players are the leaders in five statistical categories. Each player is the leader in at least one category. The players are Howard, Jennings, Robinson, and Sanchez. The categories are home runs (HR), runs batted in (RBI), runs scored (R), doubles (2B), and stolen bases (SB). You are aware of the following facts regarding the players' statistics:
Howard hit more home runs than Robinson.
Sanchez had more runs scored than Howard.
Jennings finished last in the categories of home runs and runs batted in.
Robinson had twice as many stolen bases as Jennings.
Sanchez hit more doubles than Robinson and Howard.
Which one of the following could NOT be a correct representation of the leaders in each statistical category?
Sanchez in HR; Robinson in RBI; Jennings in R and 2B; Howard in SB
Sanchez in HR; Robinson in RBI and SB; Jennings in R; Howard in 2B
Howard in HR and RBI; Sanchez in R; Jennings in 2B; Robinson in SB
Sanchez in HR and 2B; Howard in RBI; Jennings in R; Robinson in SB
Howard in HR; Sanchez in R; Robinson in RBI and SB; Jennings in 2B
Sanchez in HR; Robinson in RBI and SB; Jennings in R; Howard in 2B
The correct answer is "Sanchez in HR; Robinson in RBI and SB; Jennings in R; Howard in 2B." The facts indicate that Sanchez had more doubles than Robinson and Howard. Therefore, Howard cannot be the leader in doubles and this answer choice cannot be correct.
Example Question #33 : Four & Five Variable
Four baseball players are the leaders in five statistical categories. Each player is the leader in at least one category. The players are Howard, Jennings, Robinson, and Sanchez. The categories are home runs (HR), runs batted in (RBI), runs scored (R), doubles (2B), and stolen bases (SB). You are aware of the following facts regarding the players' statistics:
Howard hit more home runs than Robinson.
Sanchez had more runs scored than Howard.
Jennings finished last in the categories of home runs and runs batted in.
Robinson had twice as many stolen bases as Jennings.
Sanchez hit more doubles than Robinson and Howard.
If Howard was the leader in runs batted in only and Jennings was the leader in runs scored only, which of the following would be true?
Sanchez would be the leader in home runs and doubles
None of the other answers; the premise of the question cannot be true
Sanchez would be the leader in home runs and stolen bases
Robinson would be the leader in doubles and stolen bases
Robinson would be the leader in home runs and stolen bases
Sanchez would be the leader in home runs and doubles
If Howard was the leaders in runs batted in only and Jennings was the leader in runs scored only, then Sanchez would have to be the leader in home runs and doubles. The only other player, Jennings, cannot be the leader in home runs (Howard hit more) or doubles (Sanchez had more). In addition, every player must be the leader in at least one category. Under this scenario, Robinson would be the leader in stolen bases. For those reasons, the premise of the question can be true.
Example Question #461 : Linear Games
Four baseball players are the leaders in five statistical categories. Each player is the leader in at least one category. The players are Howard, Jennings, Robinson, and Sanchez. The categories are home runs (HR), runs batted in (RBI), runs scored (R), doubles (2B), and stolen bases (SB). You are aware of the following facts regarding the players' statistics:
Howard hit more home runs than Robinson.
Sanchez had more runs scored than Howard.
Jennings finished last in the categories of home runs and runs batted in.
Robinson had twice as many stolen bases as Jennings.
Sanchez hit more doubles than Robinson and Howard.
Of all the potential leaders in each category, which player could be the leader in the fewest categories?
None of the other answers
Jennings
Robinson
Sanchez
Howard
Jennings
Jennings could be the potential leader in the fewest categories. Jennings cannot be the leader in home runs, runs batted in, or stolen bases. Therefore, Jennings can only potentially be the leader in two categories: runs scored and doubles. Howard and Robinson can each potentially be the leader in three categories, while Sanchez can potentially be the leader in any of the five categories.