LSAT Logic Games : Linear Games
Study concepts, example questions & explanations for LSAT Logic Games
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Example Questions
Example Question #471 : Linear Games
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?
California, Illinois, Texas, New York, Florida
New York, Florida, California, Illinois, Texas
New York, Texas, Florida, Illinois, California
California, New York, Texas, Illinois, Florida
California, Texas, Illinois, Florida, New York
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?
Microscope, Test Tube, Laser, Laser, Microscope
Microscope, Laser, Laser, Test Tube, Microscope
Laser, Test Tube, Microscope, Laser, Laser
Laser, Test Tube, Microscope, Laser, Microscope
Laser, Test Tube, Microscope, Laser, Test Tube
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 #472 : Linear 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.
If Carri uses the laser, then which one of the following must be false?
Evi uses the Microscope.
Evi uses the Laser.
Barry uses the Microscope.
Abbi uses the Test Tube.
Abbi uses the Laser.
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 #473 : Linear 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.
Which of the following is a pair of scientists who could use the microscope together?
Abbi and Evi
Danny and Barry
Barry and Carri
Danny and Evi
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 #36 : 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.
Each of the following statements must be false EXCEPT __________.
Evi and Carri use the Test Tube together
Only Evi uses the Test Tube
Only Danny uses the Test Tube
Only Carri uses the Test Tube
Only Barry uses the Test Tube
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 #474 : Linear 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.
If Abbi uses the laser, which of the following are all the scientists who could use the microscope?
Barry
Barry, Evi
Barry, Danny, Evi
Danny, Evi, Carri
Danny, Carri
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.
Example Question #475 : Linear 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.
If the condition that exactly two scientists use the laser is changed to exactly three scientists must use the laser. Which of the scientists must now either use the microscope or the test tube?
Barry
Evi
Danny
Abbi
Carri
Danny
Since there are five scientists and Abbi, Barry, and Danny must be using different pieces of equipment, that means both Carri and Evi must use the laser in addition to Abbi, Barry or Danny. Because Danny cannot use the same equipment as Evi, that precludes Danny from using the laser. There being no such restrictions on Abbi or Barry, Danny is the correct answer.
Example Question #476 : Linear Games
A quarterback has time left in the game to call exactly seven plays—L, M, N, O, P, S, and T—one at a time and in any order according to the following conditions:
- Play P is called either first or last.
- The quarterback calls L at some point before calling N.
- The quarterback calls M at some point before calling T.
- The quarterback calls exactly one play between calling play L and play O.
- The quarterback calls exactly one play between calling play M and play P.
Which of the following lists is the order the quarterback could call the plays from first to last?
M, T, P, S, L, N, O
O, S, L, N, M, T, P
L, N, S, O, M, T, P
P, T, M, S, L, N, O
P, N, M, S, O, T, L
O, S, L, N, M, T, P
Using the process of elimination, go through the conditions one by one. Four of the possible answers violate one or more of the conditions. O, S, L, N, M, T, P is the only sequence that does not violate any of the conditions.
Example Question #477 : Linear Games
A quarterback has time left in the game to call exactly seven plays—L, M, N, O, P, S, and T—one at a time and in any order according to the following conditions:
- Play P is called either first or last.
- The quarterback calls L at some point before calling N.
- The quarterback calls M at some point before calling T.
- The quarterback calls exactly one play between calling play L and play O.
- The quarterback calls exactly one play between calling play M and play P.
Which one of the following could be true?
S is called last
T is called first
M is called fourth
N is called first
T is called second
S is called last
Because of the condition where M must be called one placeholder away from P, M must be either third or fifth. Because of the placement of M, T cannot be placed before placeholder four. N must be called after L and so cannot be called first because L would then have to go in placeholder zero, which does not exist. Using the process of elimination, that leaves "S is called last" as the correct answer.
Example Question #478 : Linear Games
A quarterback has time left in the game to call exactly seven plays—L, M, N, O, P, S, and T—one at a time and in any order according to the following conditions:
- Play P is called either first or last.
- The quarterback calls L at some point before calling N.
- The quarterback calls M at some point before calling T.
- The quarterback calls exactly one play between calling play L and play O.
- The quarterback calls exactly one play between calling play M and play P.
If T is called fourth, what play must the quarterback call last?
O
L
S
P
N
O
If T is called fourth, then M must be called third, and P called first. If you consider that the L and O must be placed one placeholder apart and the only place left to do that is placeholders five and seven, then we can know that either L or O must be placed last. L must be placed before N so therefore five, six and seven are L, N, O respectively.
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