LSAT Logic Games : Four- & Five-Variable
Study concepts, example questions & explanations for LSAT Logic Games
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Example Questions
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?
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 and R; Sanchez in RBI; Jennings in 2B; Robinson in SB.
Robinson in HR; Sanchez in R and RBI; Jennings 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 #31 : 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.
Of all the potential leaders in each category, which player could be the leader in the fewest categories?
Jennings
Robinson
None of the other answers
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.
Example Question #32 : 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 of the following could be a proper chronological sequence of states for the tour?
New York, Florida, California, Illinois, Texas
California, Illinois, Texas, New York, Florida
New York, Texas, Florida, Illinois, California
California, Texas, Illinois, Florida, New York
California, New York, Texas, Illinois, Florida
California, Illinois, Texas, New York, Florida
The correct sequence is: California, Illinois, Texas, New York, Florida. This is the only sequence provided in which the tour starts in New York or California, Texas and Illinois are consecutive, New York and California are not consecutive, Florida is after New York, and Texas is not last.
Example Question #33 : Four & Five Variable
There are five scientists in a laboratory: Abbi, Barry, Carri, Danny, and Evi. Each scientist performs experiments with one of three pieces of equipment: the laser, the test tube, or the microscope. The following conditions must apply:
- Abbi and Barry do not use the same piece of equipment as each other, nor do they use the same piece of equipment as Danny.
- Exactly two scientists use the laser.
- Evi and Danny use different pieces of equipment.
- If either Abbi or Carri use the microscope, they both use the microscope.
Which one of the following could be an accurate list of the pieces of equipment used by the scientists in the following order: Abbi, Barry, Danny, Evi, Carri?
Laser, Test Tube, Microscope, Laser, Test Tube
Laser, Test Tube, Microscope, Laser, Microscope
Microscope, Laser, Laser, Test Tube, Microscope
Laser, Test Tube, Microscope, Laser, Laser
Microscope, Test Tube, Laser, Laser, Microscope
Laser, Test Tube, Microscope, Laser, Test Tube
Abbi, Barry and Danny must use different pieces of equipment; Evi and Danny must use different pieces of equipment; two of our scientists use the laser; and if Abbi or Carri use the microscope, they both must use the microscope. Following these conditions, Abbi uses the laser, which means that Carri cannot use the microscope. Barry uses the test tube and Danny uses the microscope, which finishes off our first condition. Evi uses the laser which satisfies two of our conditions. With Carri using the test tube, that finishes off the correct answer. It is correct because it does not violate any of the conditions where as all of the other answers do violate one or more of the conditions.
Example Question #33 : Four & Five Variable
There are five scientists in a laboratory: Abbi, Barry, Carri, Danny, and Evi. Each scientist performs experiments with one of three pieces of equipment: the laser, the test tube, or the microscope. The following conditions must apply:
- Abbi and Barry do not use the same piece of equipment as each other, nor do they use the same piece of equipment as Danny.
- Exactly two scientists use the laser.
- Evi and Danny use different pieces of equipment.
- If either Abbi or Carri use the microscope, they both use the microscope.
If Carri uses the laser, then which one of the following must be false?
Abbi uses the Test Tube.
Abbi uses the Laser.
Evi uses the Laser.
Evi uses the Microscope.
Barry uses the Microscope.
Evi uses the Laser.
Evi using the laser must be false because, if Carri is using the laser and Abbi, Barry and Danny must use different pieces of equipment, then the two placeholders under laser would be filled by Carri and Evi leaving no room for either Abbi, Barry or Danny. Thus, Abbi, Barry, and Danny will not be able to remain using separate pieces of equipment if Carri uses the laser.
Example Question #34 : Four & Five Variable
There are five scientists in a laboratory: Abbi, Barry, Carri, Danny, and Evi. Each scientist performs experiments with one of three pieces of equipment: the laser, the test tube, or the microscope. The following conditions must apply:
- Abbi and Barry do not use the same piece of equipment as each other, nor do they use the same piece of equipment as Danny.
- Exactly two scientists use the laser.
- Evi and Danny use different pieces of equipment.
- If either Abbi or Carri use the microscope, they both use the microscope.
Which of the following is a pair of scientists who could use the microscope together?
Danny and Barry
Danny and Evi
Abbi and Evi
Barry and Carri
Barry and Evi
Barry and Evi
Two answer combinations, Abbi and Evi, and Barry and Carri, cannot be correct because that leaves one of the placeholders under laser unoccupied. Danny and Evi cannot be correct because of our condition that says Danny and Evi must use different pieces of equipment. Danny and Barry cannot be correct again because a condition explicitly says they must be separate. Finally, through process of elimination, Barry and Evi must be correct.
Example Question #39 : Solving Four And Five Variable Logic Games
There are five scientists in a laboratory: Abbi, Barry, Carri, Danny, and Evi. Each scientist performs experiments with one of three pieces of equipment: the laser, the test tube, or the microscope. The following conditions must apply:
- Abbi and Barry do not use the same piece of equipment as each other, nor do they use the same piece of equipment as Danny.
- Exactly two scientists use the laser.
- Evi and Danny use different pieces of equipment.
- If either Abbi or Carri use the microscope, they both use the microscope.
Each of the following statements must be false EXCEPT __________.
Only Carri uses the Test Tube
Only Evi uses the Test Tube
Only Danny uses the Test Tube
Only Barry uses the Test Tube
Evi and Carri use the Test Tube together
Only Danny uses the Test Tube
Only Danny uses the test tube is the true statement. If any of the scientists are going to use the test tube by themselves, it must be Abbi, Barry, or Danny because these three will always be using separate pieces of equipment. Further elimination reveals that Barry cannot be the sole user of the test tube because if Abbi and Danny are on the laser and microscope at the same time, either Evi or Carri would be forced onto the test tube in order to follow all the conditions.
Example Question #35 : Four & Five Variable
There are five scientists in a laboratory: Abbi, Barry, Carri, Danny, and Evi. Each scientist performs experiments with one of three pieces of equipment: the laser, the test tube, or the microscope. The following conditions must apply:
- Abbi and Barry do not use the same piece of equipment as each other, nor do they use the same piece of equipment as Danny.
- Exactly two scientists use the laser.
- Evi and Danny use different pieces of equipment.
- If either Abbi or Carri use the microscope, they both use the microscope.
If Abbi uses the laser, which of the following are all the scientists who could use the microscope?
Barry, Evi
Barry, Danny, Evi
Danny, Evi, Carri
Danny, Carri
Barry
Barry, Danny, Evi
If Abbi is on the laser, that leaves four scientists to use the microscope. The only condition which would preclude any of them from possibly using the microscope is that if Carri is on the microscope, then so also must Abbi, which Abbi cannot because Abbi is on the laser. That leaves Barry, Danny, and Evi to possibly use the microscope.
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