LSAT Logic Games : Linear Games
Study concepts, example questions & explanations for LSAT Logic Games
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Example Questions
Example Question #44 : Solving Three Variable Logic Games
A large storage bin has six storage compartments called "Units" numbered 1 through 6. The Unit numbers go in sequence from left to right. Each Unit contains a particular type of item in need of storage: albums, books, clothes, dishes, electronics, and folders. The placement of the items in the appropriate Unit must comply with the following rules:
The Unit holding books is to the right of the Unit holding clothes.
The Unit holding clothes is to the right of the Unit holding folders.
The Unit holding electronics is to the right of the Unit holding albums.
The Unit holding folders is next to the Unit holding electronics.
Which one of the following must be false?
The Unit containing folders is next to the Unit holding albums.
The Unit containing electronics is next to the Unit holding clothes.
The Unit containing books is next to the Unit containing dishes.
The Unit containing clothes is next to the Unit containing albums.
The Unit containing albums is next to the Unit containing dishes.
The Unit containing clothes is next to the Unit containing albums.
Blending the rules to create the loose sequence, we can see that A can never be next to C, as EF/FE must always come between them. So the correct answer is: "The Unit containing clothes is next to the Unit containing albums."
Example Question #46 : Three Variable
A school has seven sports teams---baseball, football, golf, hockey, karate, swimming, and track. The new school gymnasium has three floors. Each floor can allow for a maximum of four sports teams to do indoor practicing or working out. No sports team can practice or work out on more than one floor. Assignment of the sports teams to the appropriate floor of the gym is subject to the following conditions:
Karate and track must conduct their practices or workouts on the same floor.
Football must conduct practices or workouts on the floor immediately above golf.
Hockey must conduct practices or workouts on its own floor without any other sports team.
If golf and track practice or workout on the second floor, which one of the following could be true?
Swimming practices or does workouts on the first floor.
Baseball practices or does workouts on the second floor.
Track practices or does workouts on the third floor.
Football practices or does workouts on the second floor.
Hockey practices or does workouts on the third floor.
Baseball practices or does workouts on the second floor.
With golf and track on the middle floor, football must be on the third floor by virtue of the second rule. Hockey must occupy its own floor, so it must be on the ground floor with no other sports teams there. Karate must be on the middle floor by virtue of the first rule. With these deductions, the only answer choice that doesn't violate the setup is the one that places baseball on the middle floor.
Example Question #421 : Linear Games
At an art exhibit six sculptures, identified by the first letter of the artist's last name, will be displayed sequentially, from front to back. The sculptures are L, M, O, S, V, and Z. The front-to-back display must accord with the following restrictions:
M must be displayed closer to the front than S.
S must be displayed closer to the front than both L and V.
V and Z each must be displayed closer to the front than O.
Which one of the following could be an accurate sequencing of the sculptures, displayed from front to back?
M first, V fifth, and L sixth
L third, V fourth, O fifth
Z second, V third, O sixth
S third, V fourth, Z fifth
M first, V third, L sixth
M first, V third, L sixth
This acceptability question deals only with a partial listing of the entities, so it is more difficult. But fundamentally the technique is the same: apply each rule to each answer choice and eliminate rule-violators. The correct answer will emerge as the one that violates none of the rules.
Example Question #422 : Linear Games
At an art exhibit six sculptures, identified by the first letter of the artist's last name, will be displayed sequentially, from front to back. The sculptures are L, M, O, S, V, and Z. The front-to-back display must accord with the following restrictions:
M must be displayed closer to the front than S.
S must be displayed closer to the front than both L and V.
V and Z each must be displayed closer to the front than O.
If V is fifth, then which one of the following must be true?
O must be sixth
S must be second
Z must be third
L must be fourth
M must be first
O must be sixth
If V is fifth, then according to the third rule, O must be sixth. Hence, O is our answer. The other answer choices could be true, but they need not be true.
Example Question #423 : Linear Games
At an art exhibit six sculptures, identified by the first letter of the artist's last name, will be displayed sequentially, from front to back. The sculptures are L, M, O, S, V, and Z. The front-to-back display must accord with the following restrictions:
M must be displayed closer to the front than S.
S must be displayed closer to the front than both L and V.
V and Z each must be displayed closer to the front than O.
If L is third, then each of the following could be ture EXCEPT:
O is displayed immediately behind V.
Z is displayed immediately behind V.
S is displayed immediately behind Z.
V is displayed immediately behind L.
O is displayed immediately behind Z.
S is displayed immediately behind Z.
If L is third, then M must be first and S must be second.
Because either L or O must be last, and because L occupies slot 3, O occupies slot 6.
V and Z do not have a direct relationship, so either can occupy the 4th and 5th slots.
Based on this sequence, S can never be siituated immediately behind Z.
Example Question #424 : Linear Games
At an art exhibit six sculptures, identified by the first letter of the artist's last name, will be displayed sequentially, from front to back. The sculptures are L, M, O, S, V, and Z. The front-to-back display must accord with the following restrictions:
M must be displayed closer to the front than S.
S must be displayed closer to the front than both L and V.
V and Z each must be displayed closer to the front than O.
Which one of the following cannot be true?
Z is displayed closer to the front than M.
V is displayed closer to the front than L.
O is displayed closer to the front than S.
S is displayed closer to the front than Z.
L is displayed closer to the front than V.
O is displayed closer to the front than S.
Our flow chart, constructed by blending the rules together, reveals that O must always be somewhere behind V, and V must always be somewhere behind S. thus, O can never be ahead of S.
Example Question #425 : Linear Games
At an art exhibit six sculptures, identified by the first letter of the artist's last name, will be displayed sequentially, from front to back. The sculptures are L, M, O, S, V, and Z. The front-to-back display must accord with the following restrictions:
M must be displayed closer to the front than S.
S must be displayed closer to the front than both L and V.
V and Z each must be displayed closer to the front than O.
Exactly how many different spots could be the spot in which Z is displayed?
three
four
five
six
two
five
In the flow chart generated by blending the rules, Z is only restricted by the rule that it must precede O. Thus, Z could be first, second, third, fourth, or fifth. Thus, the answer is five.
Example Question #53 : Three Variable
Exactly seven cities—Albany, Boston, Chicago, Denver, El, Paso, Fairbanks, and Glendale—are visited on a politician’s campaign trail. Each city is visited only once during the campaign. No cities are visited at the same time as each other. The following conditions apply to the campaign:
Chicago is either the third or the fifth city visited.
Boston is visited immediately before El Paso.
There is exactly one city visited between Chicago and Glendale.
Fairbanks is either the first or the last city visited.
If Boston is visited second, which of the following must be true?
Fairbanks is visited first.
Chicago is visited third.
Albany is visited sixth.
Glendale is visited fifth.
Denver is visited fourth.
Fairbanks is visited first.
If Boston is second, El Paso must be third. Since El Paso is third, Chicago must fifth and Glendale must be last. Since Glendale is last, Fairbanks must be first.
The game is represented below and any city filled-in "must" be true.
Fairbanks Boston El Paso _________ Chicago _________ Glendale
Thus Fairbanks is visited first.
Example Question #54 : Three Variable
Exactly seven cities—Albany, Boston, Chicago, Denver, El, Paso, Fairbanks, and Glendale—are visited on a politician’s campaign trail. Each city is visited only once during the campaign. No cities are visited at the same time as each other. The following conditions apply to the campaign:
Chicago is either the third or the fifth city visited.
Boston is visited immediately before El Paso.
There is exactly one city visited between Chicago and Glendale.
Fairbanks is either the first or the last city visited.
Given the conditions, what are all of the possible positions in which Albany can be visited?
Second, Fifth, Sixth
First, Second, Fourth, Sixth
First, Second, Fifth, Seventh
Second, Third, Fourth, Sixth
Second, Fourth, Sixth
Second, Fourth, Sixth
The game can be mapped out into these four possible worlds:
1. _________ _________ Glendale _________ Chicago _________ _________
2. _________ _________ Chicago _________ Glendale _________ _________
3. Glendale _________ Chicago _________ _________ _________ Fairbanks
4. Fairbanks _________ _________ _________ Chicago _________ Glendale
In worlds 1 and 2, Boston and El Paso can be either first/second or sixth/seventh, and Fairbanks is ether first or last whichever is still available. This however; makes the first and last positions filled in all possible worlds.
Additionally, either Boston or El Paso must be placed fifth in world 3, and third in world 4, making the third and fifth position filled in all the possible worlds.
This leaves only the second, fourth, and sixth position available for Albany.
Example Question #426 : Linear Games
A school has seven sports teams---baseball, football, golf, hockey, karate, swimming, and track. The new school gymnasium has three floors. Each floor can allow for a maximum of four sports teams to do indoor practicing or working out. No sports team can practice or work out on more than one floor. Assignment of the sports teams to the appropriate floor of the gym is subject to the following conditions:
Karate and track must conduct their practices or workouts on the same floor.
Football must conduct practices or workouts on the floor immediately above golf.
Hockey must conduct practices or workouts on its own floor without any other sports team.
Which one of the following CANNOT be the assignment of sports teams to floor of the gymnasium?
Football, track, and karate
Karate, swimming, track, and hockey.
Swimming, track, karate, and golf
Baseball, track, golf, and karate.
Swimming, track, karate, and football.
Karate, swimming, track, and hockey.
This question punishes over-thinking. The correct answer simply tests the rule that hockey must occupy its own floor. It must be false that hockey is with three other sports team on a particular floor.
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