LSAT Logic Games : LSAT Logic Games
Study concepts, example questions & explanations for LSAT Logic Games
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Example Questions
Example Question #291 : Linear Games
A school is holding tryouts for seven athletes – Eric, Fred, Greg, Ian, John, Kevin, and Merlin – for the varsity and JV track teams. Which team the athletes can join is determined by their 40 yard dash time; the three fastest will join the varsity team and the four slowest the JV team, subject to the following conditions:
Fred has a faster time than Ian.
Eric has a faster time than Ian, but a slower time than Greg
Greg has a faster time than Fred, but a slower time than John.
Kevin is part of the JV team.
If Merlin has the second fastest recorded time, which of the following must be true?
Kevin has the fifth fastest recorded time.
Ian has the seventh fastest recorded time.
Greg has the third fastest recorded time.
Eric has the sixth fastest recorded time.
Fred has the fourth fastest recorded time.
Greg has the third fastest recorded time.
Going off the J - G - E/F - I model, we see that the only unaccounted athletes are Merlin and Kevin. Since Kevin must be on the JV team and as a result, can only have the fourth spot as his fastest possible time, his placement has no effect on the side of the rule before E/F. Therefore, putting Merlin into the second spot produces the following rule:
J - M - G - E/F - I
The only answer choice that must be true is that Greg has the third fastest time, as it is the only spot that Kevin's placement on the JV team has no effect on.
Example Question #292 : Linear Games
A school is holding tryouts for seven athletes – Eric, Fred, Greg, Ian, John, Kevin, and Merlin – for the varsity and JV track teams. Which team the athletes can join is determined by their 40 yard dash time; the three fastest will join the varsity team and the four slowest the JV team, subject to the following conditions:
Fred has a faster time than Ian.
Eric has a faster time than Ian, but a slower time than Greg
Greg has a faster time than Fred, but a slower time than John.
Kevin is part of the JV team.
Which of the following is an accurate and complete list of the athletes that must be on the varsity team?
Greg, Eric
John, Greg, Fred
Greg, Merlin
John, Greg
John, Greg, Merlin
John, Greg
Again using the J - G - E/F - I combination of the first three rules, we are left with Kevin and Merlin as the remaining two wild cards. Since Kevin can only be part of the JV team, he can be at earliest the fourth fastest time, meaning he doesn't affect the J - G - E/F order, or at least, whichever of E or F comes first. Merlin, however, has no strings attached and can have any possible time. To eliminate the maximum number of choices, we can place him first, making a M - J - G - E/F order. In this scenario, both Eric and Fred will be on the JV team, but in every possible scenario, J and G are the only constants on the varsity team.
Example Question #293 : Linear Games
A school is holding tryouts for seven athletes – Eric, Fred, Greg, Ian, John, Kevin, and Merlin – for the varsity and JV track teams. Which team the athletes can join is determined by their 40 yard dash time; the three fastest will join the varsity team and the four slowest the JV team, subject to the following conditions:
Fred has a faster time than Ian.
Eric has a faster time than Ian, but a slower time than Greg
Greg has a faster time than Fred, but a slower time than John.
Kevin is part of the JV team.
If the rule that Kevin must be part of the JV team is replaced with one stating that Kevin must be part of the varsity team, which of the following must be true?
Eric is part of the JV team.
Merlin is part of the JV team.
Greg is part of the JV team.
Fred is part of the varsity team.
Greg is part of the varsity team.
Eric is part of the JV team.
Using the J - G - E/F - I combination of the last three rules, inserting Kevin into the first three means that only John is guaranteed to be on the varsity team, as inserting Merlin in any of the top three spots will push Greg into the JV team. Everyone after Greg in the J - G - E/F - I combination also must be part of the JV team since the only athletes that can be part of the varsity team now aside from John and Kevin are Greg and Merlin.
From this, we can determine the correct answer in that Eric must always be on the JV team, as there is no way for him to be on the varsity team.
Example Question #294 : Lsat Logic Games
Eight people are waiting for five buses at a bus stop. The eight people are Adrien, Brian, Carl, David, Eva, Faith, Glenda, and Henry. At least one person must get on each bus and everyone at the stop gets on one bus. The following conditions apply:
No more than two people get on any bus.
If two people get on the first bus, two people must get on the third bus.
Glenda gets on a bus alone.
Adrien must get on a bus with another person.
Only one person gets on the fourth bus.
David and Faith cannot get on the same bus.
Which of the following could be a list of the people who get on each bus?
1. Adrien and Eva; 2. Faith and Henry; 3. Glenda 4. David; 5. Brian and Carl
1. Glenda; 2. David and Brian; 3. Adrien and Eva; 4. Henry; 5. Faith and Carl
1. Adrien and Henry; 2. Glenda; 3. Eva and Faith 4. David and Carl; 5. Brian
1. Glenda and David; 2. Faith; 3. Adrien and Eva; 4. Henry; 5. Brian and Carl
1. Glenda; 2. David and Faith; 3. Adrien and Eva; 4. Carl; 5. Brian and Henry
1. Glenda; 2. David and Brian; 3. Adrien and Eva; 4. Henry; 5. Faith and Carl
This question requires only a straightforward application of the conditions because each of the incorrect answers directly violates one of the rules. Carefully apply the rules to eliminate the incorrect answers.
Example Question #291 : Linear Games
Eight people are waiting for five buses at a bus stop. The eight people are Adrien, Brian, Carl, David, Eva, Faith, Glenda, and Henry. At least one person must get on each bus and everyone at the stop gets on one bus. The following conditions apply:
No more than two people get on any bus.
If two people get on the first bus, two people must get on the third bus.
Glenda gets on a bus alone.
Adrien must get on a bus with another person.
Only one person gets on the fourth bus.
David and Faith cannot get on the same bus.
If Adrien and David get on the first bus, and if Faith gets on the second bus alone, which of the following cannot be true?
Carl gets on the fifth bus
Glenda gets on the fourth bus
Henry gets on the third bus
Carl gets on the third bus
Glenda gets on the fifth bus
Glenda gets on the fifth bus
Since only one person got on the second bus and only one person got on the fourth bus, two people must get on each of the first, third, and fifth buses. Since Glenda must get on a bus alone, she cannot be on the fifth bus.
Example Question #296 : Lsat Logic Games
Eight people are waiting for five buses at a bus stop. The eight people are Adrien, Brian, Carl, David, Eva, Faith, Glenda, and Henry. At least one person must get on each bus and everyone at the stop gets on one bus. The following conditions apply:
No more than two people get on any bus.
If two people get on the first bus, two people must get on the third bus.
Glenda gets on a bus alone.
Adrien must get on a bus with another person.
Only one person gets on the fourth bus.
David and Faith cannot get on the same bus.
Which of the following could be true?
Adrien and Henry get on the first bus and Faith gets on a bus alone
Adrien gets on the fourth bus
David and Faith each get on a bus alone
Adrien gets on a bus with Henry, Eva gets on a bus alone, and Brian and Carl get on a bus together
Adrien gets on the first bus while Glenda gets on the third
Adrien and Henry get on the first bus and Faith gets on a bus alone
You can eliminate several answer choices if you remember that only two people can get on a bus alone and one of those people must be Glenda. Remember also that only one person can get on the fourth bus and that David and Faith cannot get on the same bus. Faith can get on a bus alone, so long as Glenda is the only other one who does so, and Adrien can get on a bus with Henry.
Example Question #297 : Lsat Logic Games
Eight people are waiting for five buses at a bus stop. The eight people are Adrien, Brian, Carl, David, Eva, Faith, Glenda, and Henry. At least one person must get on each bus and everyone at the stop gets on one bus. The following conditions apply:
No more than two people get on any bus.
If two people get on the first bus, two people must get on the third bus.
Glenda gets on a bus alone.
Adrien must get on a bus with another person.
Only one person gets on the fourth bus.
David and Faith cannot get on the same bus.
If Adrien gets on the first bus, Henry gets on the fourth, and Carl gets on the second, which of the following must be true?
David, Faith, or both get on the fifth bus
Eva or Brian get on the same bus as Henry
David, Faith, or both get on the third bus
Eva, Brian, or both get on a bus after Carl
Eva or Brian get on the same bus as Carl
Eva, Brian, or both get on a bus after Carl
We know that Glenda must be on the fifth bus because two people must get on the third and there is already a person on each of the other buses. We also know that only the third bus has two places available and that Faith and David cannot be on the same bus. Since only one of them could be on the third bus (though it is possible that neither of them is), either Eva or Brian must also be on the third bus.
Example Question #292 : Linear Games
A car dealership is displaying vehicles in its showroom. The dealership will select six vehicles from seven models: A, B, C, D, E, F, and G. Models A and B are trucks and all other models are cars. The vehicles must be displayed in the showroom in a row according to the following conditions:
If C is displayed, then both trucks also must be displayed
E always must be displayed first or last
If both D and F are displayed, there must be exactly two vehicles after D and before F
A and B cannot be next to each other
Which of the following could be the order of the vehicles in the showroom?
D, A, C, B, F, E
D, A, C, F, E, B
D, A, C, F, G, E
D, A, C, F, B, E
D, A, B, F, C, E
D, A, C, F, B, E
Each incorrect answer choice violates one or more conditions. Carefully apply the rules to eliminate the incorrect answers.
Example Question #32 : Solving Two Variable Logic Games
A car dealership is displaying vehicles in its showroom. The dealership will select six vehicles from seven models: A, B, C, D, E, F, and G. Models A and B are trucks and all other models are cars. The vehicles must be displayed in the showroom in a row according to the following conditions:
If C is displayed, then both trucks also must be displayed
E always must be displayed first or last
If both D and F are displayed, there must be exactly two vehicles after D and before F
A and B cannot be next to each other
If G and C are displayed, which of the following must be true?
Either D or F is not displayed
Either A or B is not displayed
E is displayed first
E is immediately adjacent to either G or C
Either G or C is displayed third
Either D or F is not displayed
When C and G are displayed, the display must include A, B, C, G, and E. This leaves only one open space, which means that either D or F cannot be displayed.
Example Question #291 : Linear Games
A car dealership is displaying vehicles in its showroom. The dealership will select six vehicles from seven models: A, B, C, D, E, F, and G. Models A and B are trucks and all other models are cars. The vehicles must be displayed in the showroom in a row according to the following conditions:
If C is displayed, then both trucks also must be displayed
E always must be displayed first or last
If both D and F are displayed, there must be exactly two vehicles after D and before F
A and B cannot be next to each other
Which of the following models must be displayed?
D
B
C
A
E
E
The rules expressly state that E must be displayed either first or last. As a result, E must be displayed no matter which other vehicles are shown. The other models are only required to be shown if certain conditions are met.
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