LSAT Logic Games : Determining sequence in linear games
Study concepts, example questions & explanations for LSAT Logic Games
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Example Questions
Example Question #211 : Determining Sequence In Linear Games
Six baseball players -- Billings, Carter, Dalton, Freeman, Garcia, and Hallstrom -- are to be placed in a batting order. Each player will bat once, and players will bat one at a time. The players' coach will decide the batting order according to the following conditions:
Both Carter and Dalton will bat earlier than Garcia.
Hallstrom will not bat fifth.
Freeman will bat at some time between Hallstrom's and Garcia's batting times.
If Dalton bats earlier than Carter, then Hallstrom will bat earlier than Freeman.
If Billings bats earlier than both Carter and Dalton, then which one of the following CANNOT be true?
Billings bats second.
Freeman bats fifth.
Hallstrom bats fourth.
Dalton bats second.
Garcia bats fifth.
Garcia bats fifth.
Garcia cannot bat fifth under these circumstances. If he did, there would be no one to bat last. Billings, Carter, and Dalton could not bat last because they must all bat before Garcia. Freeman could not bat last because he must bat between Garcia and Hallstrom. For the same reason, Hallstrom could not bat last, as Freeman must bat between him and Garcia. The remaining answer choices are possible under these circumstances.
Example Question #212 : Determining Sequence In Linear Games
Six baseball players -- Billings, Carter, Dalton, Freeman, Garcia, and Hallstrom -- are to be placed in a batting order. Each player will bat once, and players will bat one at a time. The players' coach will decide the batting order according to the following conditions:
Both Carter and Dalton will bat earlier than Garcia.
Hallstrom will not bat fifth.
Freeman will bat at some time between Hallstrom's and Garcia's batting times.
If Dalton bats earlier than Carter, then Hallstrom will bat earlier than Freeman.
Exactly how many players are there any one of whom could bat second?
6
5
2
4
3
5
Any of the players could bat second except for Garcia. Garcia cannot bat second because both Carter and Dalton must bat before he does. The remaining players have no such restrictions, and each could bat second under the proper circumstances.
Example Question #213 : Determining Sequence In Linear Games
Six baseball players -- Billings, Carter, Dalton, Freeman, Garcia, and Hallstrom -- are to be placed in a batting order. Each player will bat once, and players will bat one at a time. The players' coach will decide the batting order according to the following conditions:
Both Carter and Dalton will bat earlier than Garcia.
Hallstrom will not bat fifth.
Freeman will bat at some time between Hallstrom's and Garcia's batting times.
If Dalton bats earlier than Carter, then Hallstrom will bat earlier than Freeman.
If Garcia bats third, then which one of the following must be true?
Billings bats fourth.
Hallstrom bats first.
Dalton bats first.
Carter bats first.
Freeman bats fourth.
Carter bats first.
Carter must bat first under these circumstances. Carter and Dalton must always bat before Garcia. However, if Dalton bats first, then Hallstrom would need to bat earlier than Freeman. This would be impossible with Garcia batting third, since Freeman must bat between Garcia and Hallstrom. Therefore, Carter must bat first and Dalton second. While some of the remaining answer choices could be true, they do not have to be true under these circumstances.
Example Question #214 : Determining Sequence In Linear Games
Six baseball players -- Billings, Carter, Dalton, Freeman, Garcia, and Hallstrom -- are to be placed in a batting order. Each player will bat once, and players will bat one at a time. The players' coach will decide the batting order according to the following conditions:
Both Carter and Dalton will bat earlier than Garcia.
Hallstrom will not bat fifth.
Freeman will bat at some time between Hallstrom's and Garcia's batting times.
If Dalton bats earlier than Carter, then Hallstrom will bat earlier than Freeman.
If Hallstrom and Billings are the first two batters, then which one of the following must be true?
Hallstrom bats first.
Garcia bats last.
Freeman bats fifth.
Dalton bats third.
Carter bats third.
Garcia bats last.
Garcia must bat last under these circumstances. While Carter, Dalton, and Freeman could bat in any order, they must all bat before Garcia in this situation. Freeman must bat before Garcia because he must bat between Hallstrom and Garcia. Finally, while Hallstrom and Billings are the first two batters, they do not need to bat in any particular order.
Example Question #215 : Determining Sequence In Linear Games
A piano teacher instructs six students -- Ralph, Sam, Thomas, Venna, Wanda, and Xavier. The students' lessons are held daily at six times: 1 pm, 2 pm, 3 pm, 4 pm, 5 pm, and 6 pm. Each lesson begins on the hour at one of the listed times, and only one student may be scheduled for each hour. Each student receives exactly one lesson per day. The following conditions govern the times at which students may be scheduled:
Ralph's lesson must be given at 1 pm or 3 pm.
Venna's lesson is given sometime before Sam's lesson but sometime after Wanda's lesson.
Thomas's lesson is given immediately after Sam's lesson.
Which one of the following could be an accurate schedule of daily lesson times, in order from first to last?
1 pm: Ralph; 2 pm: Xavier; 3 pm: Venna; 4 pm: Sam; 5 pm: Thomas; 6 pm: Wanda
1 pm: Wanda; 2 pm: Ralph; 3 pm: Xavier; 4 pm: Venna; 5 pm: Sam; 6 pm: Thomas
1 pm: Ralph; 2 pm: Wanda; 3 pm: Venna; 4 pm: Sam; 5 pm: Thomas; 6 pm: Xavier
1 pm: Ralph; 2 pm: Wanda; 3 pm: Venna; 4 pm: Thomas; 5 pm: Sam; 6 pm: Xavier
1 pm: Ralph; 2 pm: Xavier; 3 pm: Venna; 4 pm: Wanda; 5 pm: Sam; 6 pm: Thomas
1 pm: Ralph; 2 pm: Wanda; 3 pm: Venna; 4 pm: Sam; 5 pm: Thomas; 6 pm: Xavier
The correct answer choice is the only one that does not violate the given conditions. The remaining answer choices violate one or more conditions by either failing to have Ralph's lesson at 1 pm or 3 pm, failing to have Thomas's lesson immediately after Sam's lesson, failing to have Wanda's lesson before Venna's lesson, and/or failing to have Venna's lesson before Sam's lesson.
Example Question #216 : Determining Sequence In Linear Games
A piano teacher instructs six students -- Ralph, Sam, Thomas, Venna, Wanda, and Xavier. The students' lessons are held daily at six times: 1 pm, 2 pm, 3 pm, 4 pm, 5 pm, and 6 pm. Each lesson begins on the hour at one of the listed times, and only one student may be scheduled for each hour. Each student receives exactly one lesson per day. The following conditions govern the times at which students may be scheduled:
Ralph's lesson must be given at 1 pm or 3 pm.
Venna's lesson is given sometime before Sam's lesson but sometime after Wanda's lesson.
Thomas's lesson is given immediately after Sam's lesson.
If Xavier's lesson is at 4 pm, which one of the following must be true?
Ralph's lesson is at 3 pm.
Wanda's lesson is at 2 pm.
Venna's lesson is at 3 pm.
Wanda's lesson is at 1 pm.
Sam's lesson is at 5 pm.
Sam's lesson is at 5 pm.
Sam's lesson must be held at 5 pm under these circumstances. The remaining answer choices could be true, but do not have to be true. With Xavier at 4 pm, the only possible slots to accommodate Sam and Thomas are 5 pm and 6 pm (because Wanda and Venna must receive their lessons earlier than Sam). Wanda's lesson could be at either 1 pm or 2 pm. Venna's lesson could be at either 2 pm or 3 pm. Ralph's lesson could be at either 1 pm or 3 pm.
Example Question #217 : Determining Sequence In Linear Games
A piano teacher instructs six students -- Ralph, Sam, Thomas, Venna, Wanda, and Xavier. The students' lessons are held daily at six times: 1 pm, 2 pm, 3 pm, 4 pm, 5 pm, and 6 pm. Each lesson begins on the hour at one of the listed times, and only one student may be scheduled for each hour. Each student receives exactly one lesson per day. The following conditions govern the times at which students may be scheduled:
Ralph's lesson must be given at 1 pm or 3 pm.
Venna's lesson is given sometime before Sam's lesson but sometime after Wanda's lesson.
Thomas's lesson is given immediately after Sam's lesson.
Which one of the following students CANNOT be scheduled for a lesson at 3 pm?
Xavier
Sam
Venna
Ralph
Wanda
Sam
Sam can never be scheduled for 3 pm without violating one or more conditions. Because both Wanda and Venna must be scheduled before Sam, and Ralph must be scheduled at 1 pm or 3 pm, there is no way Sam can be scheduled at 3 pm without forcing one of the aforementioned three students to be scheduled after Sam. The remaining answer choices could all be scheduled at 3 pm under the right circumstances.
Example Question #218 : Determining Sequence In Linear Games
A piano teacher instructs six students -- Ralph, Sam, Thomas, Venna, Wanda, and Xavier. The students' lessons are held daily at six times: 1 pm, 2 pm, 3 pm, 4 pm, 5 pm, and 6 pm. Each lesson begins on the hour at one of the listed times, and only one student may be scheduled for each hour. Each student receives exactly one lesson per day. The following conditions govern the times at which students may be scheduled:
Ralph's lesson must be given at 1 pm or 3 pm.
Venna's lesson is given sometime before Sam's lesson but sometime after Wanda's lesson.
Thomas's lesson is given immediately after Sam's lesson.
The schedule for a particular day of lessons is completely determined if which one of the following is true?
Ralph's lesson is at 3 pm.
Wanda's lesson is at 2 pm.
Xavier's lesson is at 1 pm.
Sam's lesson is at 4 pm.
Venna's lesson is at 4 pm.
Xavier's lesson is at 1 pm.
If Xavier's lesson is at 1 pm, Ralph's lesson must be at 3 pm. In this situation, the only student who could fit into the 2 pm slot would be Wanda. The remaining three slots would also be determined. Venna, who must be scheduled before Sam, would be at 4 pm. Sam, who must be scheduled immediately before Thomas, would be at 5 pm. Thomas would be at 6 pm. Each of the remaining answer choices allows for more than one possible set of schedules.
Example Question #219 : Determining Sequence In Linear Games
A piano teacher instructs six students -- Ralph, Sam, Thomas, Venna, Wanda, and Xavier. The students' lessons are held daily at six times: 1 pm, 2 pm, 3 pm, 4 pm, 5 pm, and 6 pm. Each lesson begins on the hour at one of the listed times, and only one student may be scheduled for each hour. Each student receives exactly one lesson per day. The following conditions govern the times at which students may be scheduled:
Ralph's lesson must be given at 1 pm or 3 pm.
Venna's lesson is given sometime before Sam's lesson but sometime after Wanda's lesson.
Thomas's lesson is given immediately after Sam's lesson.
Which one of the following is a pair of students, neither of which can be scheduled for a lesson at 5 pm?
Wanda and Sam
Venna and Thomas
Sam and Xavier
Venna and Xavier
Thomas and Xavier
Venna and Xavier
Venna and Xavier cannot be scheduled for 5 pm (and neither, for that matter, can Wanda or Ralph). Thomas and Sam are the only two students who can be scheduled for 5 pm without violating a condition. Since the remaining answer choices include either Thomas or Sam, they are incorrect.
Example Question #220 : Determining Sequence In Linear Games
A piano teacher instructs six students -- Ralph, Sam, Thomas, Venna, Wanda, and Xavier. The students' lessons are held daily at six times: 1 pm, 2 pm, 3 pm, 4 pm, 5 pm, and 6 pm. Each lesson begins on the hour at one of the listed times, and only one student may be scheduled for each hour. Each student receives exactly one lesson per day. The following conditions govern the times at which students may be scheduled:
Ralph's lesson must be given at 1 pm or 3 pm.
Venna's lesson is given sometime before Sam's lesson but sometime after Wanda's lesson.
Thomas's lesson is given immediately after Sam's lesson.
If Thomas does NOT receive his lesson at 6 pm, which one of the following could be true?
Wanda's lesson is at 3 pm.
Xavier's lesson is at 4 pm.
Venna's lesson is at 2 pm.
Sam's lesson is at 5 pm.
Xavier's lesson is at 2 pm.
Venna's lesson is at 2 pm.
Venna could have a lesson at 2 pm under these circumstances, and the remaining answer choices could not be true. If Thomas does not receive his lesson at 6 pm, he must have it at 5 pm. This is because Sam can never have a lesson before 4 pm, and Thomas's lesson must immediately follow Sam's. With Sam's lesson at 4 pm, the only student who can fit into the 6 pm slot is Xavier. The first three slots are not completely determined, but Wanda cannot receive a lesson at 3 pm under these circumstances, because her lesson must be before Venna's, and the last three slots are already filled -- there would be no way to fit Venna into one of them.
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