LSAT Logic Games : Linear Games
Study concepts, example questions & explanations for LSAT Logic Games
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Example Questions
Example Question #481 : 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 the quarterback calls play M at some time after calling play O, the fifth play called could NOT be which one of the following?
N
T
M
S
L
L
The fifth play cannot be L because then the third play must be O. The last play cannot be O because both M and T come after O. If the third play is O and the fifth is L, then there is no placeholder for M because M must come with one placeholder between it and P. All the spaces that could fulfill that requirement would already be filled.
Example Question #482 : Linear Games
Five dogs are finalists in a dog-show competition: Fifi, Glee, Haley, Jo, and Kay. They will appear on a platform singly and only once during the final phase of the competition. The order of their appearance must accord with the following rules:
Glee must appear earlier than Fifi.
Kay must appear earlier than Haley and Jo.
Haley must appear either immediately before or immediately after Fifi.
Which one of the following could be the order, from first to last, in which the dogs appear on the platform?
Kay, Glee, Jo, Fifi, Haley.
Glee Jo, Kay, Haley, Fifi
Glee, Fifi, Haley, Kay, Jo
Kay, Jo, Fifi, Haley, Glee
Glee, Kay, Haley, Jo, Fifi
Kay, Glee, Jo, Fifi, Haley.
For acceptability questions like this one, apply each rule to the answer choices and find the rule-violators. The one answer that is not eliminated is, by definition, a non-violator and thus the correct answer.
Example Question #483 : Linear Games
Five dogs are finalists in a dog-show competition: Fifi, Glee, Haley, Jo, and Kay. They will appear on a platform singly and only once during the final phase of the competition. The order of their appearance must accord with the following rules:
Glee must appear earlier than Fifi.
Kay must appear earlier than Haley and Jo.
Haley must appear either immediately before or immediately after Fifi.
All of the following can be true, EXCEPT
Kay appears immediately after Fifi.
Kay appears immediately before Fifi.
Kay appears immediately before Haley.
Jo appears immediately before Fifi.
Jo appears immediately before Glee.
Kay appears immediately after Fifi.
This question can be answered efficiently by consulting the sequencing rules (arrived at through making deductions):
G --- F/H either order
K --- F/H
K --- J
Among the answer choices, the one that cannot happen is the appearance of K immediately after F.
Example Question #484 : Linear Games
Five dogs are finalists in a dog-show competition: Fifi, Glee, Haley, Jo, and Kay. They will appear on a platform singly and only once during the final phase of the competition. The order of their appearance must accord with the following rules:
Glee must appear earlier than Fifi.
Kay must appear earlier than Haley and Jo.
Haley must appear either immediately before or immediately after Fifi.
The order in which the dogs appear on the platform is fully determined if which one of the following is true?
Haley appears immediately before Jo.
Kay appears immediately before Fifi.
Glee appears immediately before Fifi.
Fifi appears immediately before Haley.
Jo appears immediately before Haley.
Kay appears immediately before Fifi.
If K appears immediately before F, then we know that there must be a KFH block. We also know that J must appear after K, so the block is extended: KFHJ. We know that G must be before the KFH block, so the block is further extended: GKFHJ. Thus, the answer is that the sequence is fully determined if we know that K appears immediately before F.
Example Question #485 : Linear Games
Five dogs are finalists in a dog-show competition: Fifi, Glee, Haley, Jo, and Kay. They will appear on a platform singly and only once during the final phase of the competition. The order of their appearance must accord with the following rules:
Glee must appear earlier than Fifi.
Kay must appear earlier than Haley and Jo.
Haley must appear either immediately before or immediately after Fifi.
Of the final five finalists, how many of the dogs could appear on the platform fourth?
one
three
five
four
two
two
Consult the sequence:
G --- F/H
K --- F/H
K --- J
Fourth is the second to last slot. Clearly, G and K cannot appear in that slot. So that leaves F, H, and J. But F and H must be next to each other, so J cannot appear in the fourth slot, as that would force a separation between F and H. Accordingly, only two dogs could be in that fourth slot, F or H.
Example Question #50 : Solving Four And Five Variable Logic Games
During an international academic conference that will take place over a six-day period, six different speakers will deliver lectures to the entire assembly. The speakers come from different countries and each country has two lecturers who are eligible to be speakers. The countries are: France, Greece, Haiti, Iceland, Nigeria, and Tunisia. The following restrictions apply:
Nigeria may not put forth a speaker for day 2 or 4.
A speaker from Iceland may not deliver a lecture unless a speaker from Nigeria delivers a lecture the next day.
A speaker from Greece may not deliver a lecture unless a speaker from Iceland delivers a lecture the next day.
Which one of the following is an acceptable order of countries from whom a speaker will be selected to deliver lectures to the assembly at the conference, from day 1 through day 6?
France, Haiti, Iceland, Nigeria, France, Haiti
Tunisia, France, Nigeria, Haiti, France, Tunisia
France, Greece, Iceland, Tunisia, Nigeria, Haiti
Haiti, France, Nigeria, Greece, Nigeria, Iceland
Nigeria, Tunisia, Haiti, Iceland, France, Tunisia
Tunisia, France, Nigeria, Haiti, France, Tunisia
Use each rule singly to eliminate rule-violators. The one answer choice that remains is, by definition, a non-violator and therefore the correct answer.
Example Question #486 : Linear Games
Five dogs are finalists in a dog-show competition: Fifi, Glee, Haley, Jo, and Kay. They will appear on a platform singly and only once during the final phase of the competition. The order of their appearance must accord with the following rules:
Glee must appear earlier than Fifi.
Kay must appear earlier than Haley and Jo.
Haley must appear either immediately before or immediately after Fifi.
If Jo appears earlier than Glee, then which one of the following could be true?
Fifi appears fourth.
Jo appears third.
Kay appears second.
Glee appears second.
Haley appears third.
Fifi appears fourth.
Given the added stipulation, the sequence must be this:
K --- J --- G --- F/H (either order).
This reveals that the only issue is whether F or H is fourth or fifth. K, J, and G are fixed at slots 1, 2, and 3. So the correct answer is F appears fourth.
Example Question #487 : Linear Games
Five dogs are finalists in a dog-show competition: Fifi, Glee, Haley, Jo, and Kay. They will appear on a platform singly and only once during the final phase of the competition. The order of their appearance must accord with the following rules:
Glee must appear earlier than Fifi.
Kay must appear earlier than Haley and Jo.
Haley must appear either immediately before or immediately after Fifi.
Which one of the following CANNOT be true?
Kay appears immediately before Haley.
Fifi appears immediately before Jo.
Jo appears immediately before Glee.
Haley appears immediately before Glee.
Glee appears immediately before Haley.
Haley appears immediately before Glee.
Because this is an open-ended question, there is no option other than testing out the answer choices. But with a good sequencing diagram, that testing can be done efficiently.
G --- F/H (either order)
K --- F/H
K --- J
From these relationship rules, it is clear that H cannot appear before G.
Example Question #488 : Linear Games
During an international academic conference that will take place over a six-day period, six different speakers will deliver lectures to the entire assembly. The speakers come from different countries and each country has two lecturers who are eligible to be speakers. The countries are: France, Greece, Haiti, Iceland, Nigeria, and Tunisia. The following restrictions apply:
Nigeria may not put forth a speaker for day 2 or 4.
A speaker from Iceland may not deliver a lecture unless a speaker from Nigeria delivers a lecture the next day.
A speaker from Greece may not deliver a lecture unless a speaker from Iceland delivers a lecture the next day.
If two speakers from Iceland are delivering lectures, one on day 2 and one on day 5, then the speaker on day 1 could be from any one of the following countries EXCEPT:
Tunisia
France
Nigeria
Haiti
Greece
Nigeria
The rules specify that if I is in play, then the sequence must be IN. The question specifies that I is in slots 2 and 5. That means N must be in slots 3 and 6. Therefore, N could not be in slot 1.
Example Question #489 : Linear Games
During an international academic conference that will take place over a six-day period, six different speakers will deliver lectures to the entire assembly. The speakers come from different countries and each country has two lecturers who are eligible to be speakers. The countries are: France, Greece, Haiti, Iceland, Nigeria, and Tunisia. The following restrictions apply:
Nigeria may not put forth a speaker for day 2 or 4.
A speaker from Iceland may not deliver a lecture unless a speaker from Nigeria delivers a lecture the next day.
A speaker from Greece may not deliver a lecture unless a speaker from Iceland delivers a lecture the next day.
If two of the speakers are from Iceland, which one of the following CANNOT be true?
A speaker from France delivers a lecture on day 3.
A speaker from Greece delivers a lecture on day 1.
A speaker from Tunisia delivers a lecture on day 4.
A speaker from Haiti delivers a lecture on day 6.
A speaker from Nigeria delivers a lecture on day 5.
A speaker from France delivers a lecture on day 3.
I is precluded from slots 1, 3, and 6 by virtue of the rule that if I is used, it must immediately precede N. N cannot be in slots 2 and 4 according to one rule. So, if I is used twice in the sequence, then it must be in slot 2, 4, or 5. No matter what, I must appear in slot 2, which entails N being in slot 3. Therefore F cannot be in slot 3.
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