LSAT Logic Games : Linear Games

Study concepts, example questions & explanations for LSAT Logic Games

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Example Questions

Example Question #411 : Linear Games

Sarah is planting flowers in each of her three window boxes from the following varieties: Azaleas; Carnations; Daffodils; Gardenias; Marigolds; Petunias. She plans to plant two varieties of flowers in two of the boxes and three varieties in the third. She plants the flower seeds according to the following conditions:

  • No flower variety may appear in all three window boxes, and up to one variety may be planted in two window boxes.
  • If Petunias are planted with two other varieties, Sarah does not plant any Gardenias.
  • Carnations may not be planted in the same window box as Daffodils.
  • If Marigolds are not planted next to Azaleas, then the only place they must be planted is in the same box as two other flowers.

Which of the following, if substituted for the condition that 

  • If Petunias are planted with two other varieties, Sarah does not plant any Gardenias.

would have the same effect on the arrangement of flowers?

Possible Answers:

Gardenias must not be planted at all.

Carnations must not be planted in two boxes.

Marigolds must not be planted in a large window box.

Petunias must be planted in a small window box.

Marigolds and Azaleas must be planted together.

Correct answer:

Petunias must be planted in a small window box.

Explanation:

The effect of this rule is that Petunias must be planted in a small box, as Gardenias must be used to fill all of the window boxes.

Example Question #34 : Solving Three Variable Logic 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 N is called fourth, all of the following must be false EXCEPT __________.

Possible Answers:

O is called fifth

M is called third

L is called first

S is called first

L is called second

Correct answer:

L is called first

Explanation:

L cannot be called second, because then O would have no place to go, placeholder 4 already being filled by N. M cannot be placed third because then P would come first and L would come in second which, as discussed above, does not work. O cannot be placed fifth because then M must be placed third, P first and thus L second which, again, does not work. If S is first, P comes last, M fifth, T sixth, and L and O must be placed next to each other in the second and third positions which again, violates our conditions. The only answer that violates no conditions is L in the first position.

Example Question #34 : 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.

Which one of the following could be the assignment of the sports team to the floors of the gymnasium?

Possible Answers:

third floor:  football, karate, and track

second floor:  baseball, golf, and swimming

first floor:  hockey

third floor:  baseball, football, karate, and track

second floor:  hockey

first floor:  golf and swimming

third floor:  hockey

middle floor:  golf, karate, and track

bottom floor:  baseball, football, and swimming

third floor:  baseball, football, and track

second floor:  golf, swimming, and track

first floor:  hockey

third floor:  football, karate, and track

second floor:  golf and swimming

first floor:  baseball and hockey

Correct answer:

third floor:  football, karate, and track

second floor:  baseball, golf, and swimming

first floor:  hockey

Explanation:

Apply each rule singly to the answer choices to strike all the "rule-violaters."  The correct answer remains intack, as it violates none of the rules.

Example Question #411 : 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 floors of the gymnasium?

Possible Answers:

football, karate, swimming, and track

golf, karate, swimming, and track

baseball, football, karate, and track

baseball, golf, karate, and track

baseball, karate, swimming, and track

Correct answer:

baseball, karate, swimming, and track

Explanation:

Karate and track must be with either football or golf, by virtue of rules one and two.  The correct answer violates this necessity.

Example Question #36 : 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 baseball conducts practices or workouts on the same floor as swimming, which one of the following could be true?

Possible Answers:

Exactly one sports team conducts practices or workouts on the second floor.

Exactly four sports teams conduct practices or workouts on the second floor.

Exactly two sports teams conduct practices or workouts on the first floor.

Exactly three sports teams conduct practices or workouts on the first floor.

Exactly four sports teams conduct practices or workouts on the first floor.

Correct answer:

Exactly three sports teams conduct practices or workouts on the first floor.

Explanation:

Either football or golf must be on the same floor with karate and track, by virtue of the first two rules.  That occupies three slots, so baseball and swimming could not be on that particular floor.  That means one floor has one team (hockey) and the other two floors each have three teams.  Thus, the correct answer must be the one that specifies there are three teams assigned to the first floor.

Example Question #412 : Linear 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 sequences could accurately identify the items stored in the first three Units?

Possible Answers:

dishes, folders, electronics

dishes, clothes, albums

dishes, folders, albums

books, dishes, albums

albums, dishes, folders

Correct answer:

albums, dishes, folders

Explanation:

Apply each rule singly to elminate rule violators.  The sequence "albums, dishes, folders" does not violate any of the rules.  Accordingly, it is the correct answer.  Each of the other options violates one of the rules.

Example Question #413 : Linear 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 CANNOT be the item type that is stored in Unit 4?

Possible Answers:

clothes

dishes

electronics

folders

books

Correct answer:

books

Explanation:

Blending all of the rules together, we get the following loose sequence:

albums ---- electronics & folders (either order) ---- clothes ---- books.

The floater:  dishes.

From this sequence, it is clear that books could never occupy the 4th slot.  Books could only occupy slots 5 or 6.

Example Question #43 : Three Variable

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.

If there is exactly one Unit between the Unit containing dishes and the Unit containing books, then for exactly how many of the six Units is the type of item that Unit is holding completely determined?

Possible Answers:

four

three

six

two

five

Correct answer:

four

Explanation:

The question posits that there is one slot between books and dishes.  That means books would have to be in slot 6 and dishes in slot 4.  Albums would be in slot 1 and clothes in slot 5.  The only thing unresolved is the positioning of electronics and folders because the rule pertaining to them doesn't specify their relative position but only mandates that they be next to each other.  Therefore, four of the six slots are fully resolved.

Example Question #414 : Linear 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 could be the Unit holding clothes?

Possible Answers:

Unit 2

Unit 6

Unit 3

Unit 5

Unit 1

Correct answer:

Unit 5

Explanation:

Blending the rules leads to the following loose sequence:

 

A ---- EF/FE ---- C ---- B.  D is a floater.

 

The question asks about C.  C must have at least three entities before it, so the answer cannot be Units 1, 2, or 3.  C must have at least one entity after it, so the answer cannot be Unit 6.  It can fit into slot 5, which means the correct answer is "Unit 5."

Example Question #45 : Three Variable

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.

If the Unit containing electronics is next to the Unit holding clothes, then each of the following could be true EXCEPT:

Possible Answers:

Unit 5 contains books.

Unit 4 contains electronics.

Unit 4 contains folders.

Unit 5 contains dishes.

Unit 2 contains albums.

Correct answer:

Unit 4 contains folders.

Explanation:

The added information supplied by the question solidifies the sequence in the following way:

A --- FE --- C --- B.    D remains a floater.

F must have at least one entity before it (A) and possibly two entities before it (A and D).  That means F cannot be in slot 1.  F must have at least three entities after it (E, C, and B) and possibly four entities after it (E, C, B, and D).  That means F cannot be in slot 4, 5, or 6.  Therefore, answer choice "Unit 4 contains folders" is the correct one.

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