benlipkin/arlsat huggingface dataset:
Exactly five cars—Frank's, Marquitta's, Orlando's, Taishah's, and Vinquetta's—are washed, each exactly once. The cars are washed one at a time, with each receiving exactly one kind of wash: regular, super, or premium. The following conditions must apply: The first car washed does not receive a super wash, though at least one car does. Exactly one car receives a premium wash. The second and third cars washed receive the same kind of wash as each other. Neither Orlando's nor Taishah's is washed before Vinquetta's. Marquitta's is washed before Frank's, but after Orlando's. Marquitta's and the car washed immediately before Marquitta's receive regular washes.

Question: If Vinquetta's car does not receive a premium wash, which one of the following must be true?
Options:
Orlando's and Vinquetta's cars receive the same kind of wash as each other.
Marquitta's and Taishah's cars receive the same kind of wash as each other.
The fourth car washed receives a premium wash.
Orlando's car is washed third.
Marquitta's car is washed fourth.
Correct option (0-indexed): 0
Exactly five cars—Frank's, Marquitta's, Orlando's, Taishah's, and Vinquetta's—are washed, each exactly once. The cars are washed one at a time, with each receiving exactly one kind of wash: regular, super, or premium. The following conditions must apply: The first car washed does not receive a super wash, though at least one car does. Exactly one car receives a premium wash. The second and third cars washed receive the same kind of wash as each other. Neither Orlando's nor Taishah's is washed before Vinquetta's. Marquitta's is washed before Frank's, but after Orlando's. Marquitta's and the car washed immediately before Marquitta's receive regular washes.

Question: If the last two cars washed receive the same kind of wash as each other, then which one of the following could be true?
Options:
Orlando's car is washed third.
Taishah's car is washed fifth.
Taishah's car is washed before Marquitta's car.
Vinquetta's car receives a regular wash.
Exactly one car receives a super wash.
Correct option (0-indexed): 1
Exactly five cars—Frank's, Marquitta's, Orlando's, Taishah's, and Vinquetta's—are washed, each exactly once. The cars are washed one at a time, with each receiving exactly one kind of wash: regular, super, or premium. The following conditions must apply: The first car washed does not receive a super wash, though at least one car does. Exactly one car receives a premium wash. The second and third cars washed receive the same kind of wash as each other. Neither Orlando's nor Taishah's is washed before Vinquetta's. Marquitta's is washed before Frank's, but after Orlando's. Marquitta's and the car washed immediately before Marquitta's receive regular washes.

Question: Which one of the following must be true?
Options:
Vinquetta's car receives a premium wash.
Exactly two cars receive a super wash.
The fifth car washed receives a super wash.
The fourth car washed receives a super wash.
The second car washed receives a regular wash.
Correct option (0-indexed): 4
Exactly five cars—Frank's, Marquitta's, Orlando's, Taishah's, and Vinquetta's—are washed, each exactly once. The cars are washed one at a time, with each receiving exactly one kind of wash: regular, super, or premium. The following conditions must apply: The first car washed does not receive a super wash, though at least one car does. Exactly one car receives a premium wash. The second and third cars washed receive the same kind of wash as each other. Neither Orlando's nor Taishah's is washed before Vinquetta's. Marquitta's is washed before Frank's, but after Orlando's. Marquitta's and the car washed immediately before Marquitta's receive regular washes.

Question: Which one of the following is a complete and accurate list of the cars that must receive a regular wash?
Options:
Frank's, Marquitta's
Marquitta's, Orlando's
Marquitta's, Orlando's, Taishah's
Marquitta's, Taishah's
Marquitta's, Vinquetta's
Correct option (0-indexed): 1
Exactly five cars—Frank's, Marquitta's, Orlando's, Taishah's, and Vinquetta's—are washed, each exactly once. The cars are washed one at a time, with each receiving exactly one kind of wash: regular, super, or premium. The following conditions must apply: The first car washed does not receive a super wash, though at least one car does. Exactly one car receives a premium wash. The second and third cars washed receive the same kind of wash as each other. Neither Orlando's nor Taishah's is washed before Vinquetta's. Marquitta's is washed before Frank's, but after Orlando's. Marquitta's and the car washed immediately before Marquitta's receive regular washes.

Question: Suppose that in addition to the original five cars Jabrohn's car is also washed. If all the other conditions hold as given, which one of the following CANNOT be true?
Options:
Orlando's car receives a premium wash.
Vinquetta's car receives a super wash.
Four cars receive a regular wash.
Only the second and third cars washed receive a regular wash.
Jabrohn's car is washed after Frank's car.
Correct option (0-indexed): 0
Exactly seven toy-truck models—F, G, H, J, K, M, and S—are assembled on seven assembly lines, exactly one model to a line. The seven lines are arranged side by side and numbered consecutively 1 through 7. Assignment of models to lines must meet the following conditions: F is assembled on a lower-numbered line than J. M is assembled on the line numbered one lower than the line on which G is assembled. H is assembled on line 1 or else line 7. S is assembled on line 4.

Question: Which one of the following is an acceptable assignment of toy-truck models to lines, on order from line 1 through line 7?
Options:
F, J, K, S, H, M, G
F, K, J, S, M, G, H
F, M, K, S, G, J, H
H, K, S, M, G, F, J
H, M, G, S, J, F, K
Correct option (0-indexed): 1
Exactly seven toy-truck models—F, G, H, J, K, M, and S—are assembled on seven assembly lines, exactly one model to a line. The seven lines are arranged side by side and numbered consecutively 1 through 7. Assignment of models to lines must meet the following conditions: F is assembled on a lower-numbered line than J. M is assembled on the line numbered one lower than the line on which G is assembled. H is assembled on line 1 or else line 7. S is assembled on line 4.

Question: It must be true that the lowest-numbered line on which
Options:
F can be assembled is line 2
G can be assembled is line 3
J can be assembled is line 2
K can be assembled is line 3
M can be assembled is line 2
Correct option (0-indexed): 2
Exactly seven toy-truck models—F, G, H, J, K, M, and S—are assembled on seven assembly lines, exactly one model to a line. The seven lines are arranged side by side and numbered consecutively 1 through 7. Assignment of models to lines must meet the following conditions: F is assembled on a lower-numbered line than J. M is assembled on the line numbered one lower than the line on which G is assembled. H is assembled on line 1 or else line 7. S is assembled on line 4.

Question: If K is assembled on line 5, which one of the following is a pair of models that could be assembled, not necessarily in the order given, on lines whose numbers are consecutive to each other?
Options:
G, H
G, J
H, J
J, M
M, S
Correct option (0-indexed): 2
Exactly seven toy-truck models—F, G, H, J, K, M, and S—are assembled on seven assembly lines, exactly one model to a line. The seven lines are arranged side by side and numbered consecutively 1 through 7. Assignment of models to lines must meet the following conditions: F is assembled on a lower-numbered line than J. M is assembled on the line numbered one lower than the line on which G is assembled. H is assembled on line 1 or else line 7. S is assembled on line 4.

Question: There can be at most how many lines between the line on which F is assembled and the line on which J is assembled?
Options:
one
two
three
four
five
Correct option (0-indexed): 3
Exactly seven toy-truck models—F, G, H, J, K, M, and S—are assembled on seven assembly lines, exactly one model to a line. The seven lines are arranged side by side and numbered consecutively 1 through 7. Assignment of models to lines must meet the following conditions: F is assembled on a lower-numbered line than J. M is assembled on the line numbered one lower than the line on which G is assembled. H is assembled on line 1 or else line 7. S is assembled on line 4.

Question: If K is assembled on line 2, which one of the following must be true?
Options:
F is assembled on a lower-numbered line than S.
H is assembled on a lower-numbered line than G.
J is assembled on a lower-numbered line than H.
M is assembled on a lower-numbered line than J.
S is assembled on a lower-numbered line than J.
Correct option (0-indexed): 0
Exactly seven toy-truck models—F, G, H, J, K, M, and S—are assembled on seven assembly lines, exactly one model to a line. The seven lines are arranged side by side and numbered consecutively 1 through 7. Assignment of models to lines must meet the following conditions: F is assembled on a lower-numbered line than J. M is assembled on the line numbered one lower than the line on which G is assembled. H is assembled on line 1 or else line 7. S is assembled on line 4.

Question: If G is assembled on the line numbered one less than the line on which F is assembled, then which one of the following must be true?
Options:
F is assembled on line 3.
G is assembled on line 5.
H is assembled on line 1.
K is assembled on line 5.
M is assembled on line 6.
Correct option (0-indexed): 0
Exactly seven toy-truck models—F, G, H, J, K, M, and S—are assembled on seven assembly lines, exactly one model to a line. The seven lines are arranged side by side and numbered consecutively 1 through 7. Assignment of models to lines must meet the following conditions: F is assembled on a lower-numbered line than J. M is assembled on the line numbered one lower than the line on which G is assembled. H is assembled on line 1 or else line 7. S is assembled on line 4.

Question: If M is assembled on line 1, which one of the following could be true?
Options:
F is assembled on a line numbered one lower than the line on which H is assembled.
F is assembled on a line numbered one lower than the line on which K is assembled.
G is assembled on a line numbered one lower than the line on which J is assembled.
G is assembled on a line numbered one lower than the line on which K is assembled.
K is assembled on a line numbered one lower than the line on which G is assembled.
Correct option (0-indexed): 3
At a water carnival, each of the eight lifeguards—J, K, L, M, P, Q, R, and S—will participate in two events, a boat race and a rescue exercise. For each of these events the eight lifeguards are grouped into four two-person teams, subject to the following rules: If two lifeguards are teammates in the boat race, they cannot also be teammates in the rescue exercise. L and Q are teammates in the boat race. K and L are teammates in the rescue exercise. R and S are not teammates in either event.

Question: Which one of the following could be a list of the four teams participating in the boat race?
Options:
J and L; K and S; M and Q; P and R
J and M; K and P; L and Q; R and S
J and M; K and R; L and S; P and Q
J and M; K and S; L and Q; P and R
J and P; K and L; M and R; Q and S
Correct option (0-indexed): 3
At a water carnival, each of the eight lifeguards—J, K, L, M, P, Q, R, and S—will participate in two events, a boat race and a rescue exercise. For each of these events the eight lifeguards are grouped into four two-person teams, subject to the following rules: If two lifeguards are teammates in the boat race, they cannot also be teammates in the rescue exercise. L and Q are teammates in the boat race. K and L are teammates in the rescue exercise. R and S are not teammates in either event.

Question: Which one of the following is a pair of lifeguards who cannot be teammates in the rescue exercise but who could be teammates in the boat race?
Options:
J and P
K and R
L and S
P and M
P and Q
Correct option (0-indexed): 1
At a water carnival, each of the eight lifeguards—J, K, L, M, P, Q, R, and S—will participate in two events, a boat race and a rescue exercise. For each of these events the eight lifeguards are grouped into four two-person teams, subject to the following rules: If two lifeguards are teammates in the boat race, they cannot also be teammates in the rescue exercise. L and Q are teammates in the boat race. K and L are teammates in the rescue exercise. R and S are not teammates in either event.

Question: If M and P are teammates in the boat race and J and R are teammates in the rescue exercise, which one of the following is a pair that must be teammates in the boat race?
Options:
J and K
J and S
K and L
K and S
Q and R
Correct option (0-indexed): 1
At a water carnival, each of the eight lifeguards—J, K, L, M, P, Q, R, and S—will participate in two events, a boat race and a rescue exercise. For each of these events the eight lifeguards are grouped into four two-person teams, subject to the following rules: If two lifeguards are teammates in the boat race, they cannot also be teammates in the rescue exercise. L and Q are teammates in the boat race. K and L are teammates in the rescue exercise. R and S are not teammates in either event.

Question: If P and K are teammates in the boat race and P and Q are teammates in the rescue exercise, then each of the following lists a pair of lifeguards who must be teammates in one of the two events EXCEPT:
Options:
J and M
J and R
J and S
M and R
M and S
Correct option (0-indexed): 0
At a water carnival, each of the eight lifeguards—J, K, L, M, P, Q, R, and S—will participate in two events, a boat race and a rescue exercise. For each of these events the eight lifeguards are grouped into four two-person teams, subject to the following rules: If two lifeguards are teammates in the boat race, they cannot also be teammates in the rescue exercise. L and Q are teammates in the boat race. K and L are teammates in the rescue exercise. R and S are not teammates in either event.

Question: If J and P are teammates in the boat race, then M could be the teammate of
Options:
K in the boat race and S in the rescue exercise
L in the boat race and S in the rescue exercise
R in the boat race and L in the rescue exercise
S in the boat race and K in the rescue exercise
S in the boat race and P in the rescue exercise
Correct option (0-indexed): 4
A critic ranks exactly seven restaurants—Lautrec, Medici, Pastilla, Robusto, Scheherazade's, Tantoko, and Vistula—from highest (best) to lowest (worst). The ranking must meet the following conditions: Pastilla ranks higher than Lautrec but lower than Robusto. Medici ranks higher than Vistula but lower than Tantoko. If Scheherazade's ranks higher than Pastilla, Medici ranks higher than Scheherazade's. If Medici ranks higher than Scheherazade's, Scheherazade's ranks higher than Pastilla. There are no ties.

Question: Which one of the following could be an accurate ranking of the restaurants, from highest to lowest?
Options:
Tantoko, Medici, Scheherazade's, Pastilla, Vistula, Robusto, Lautrec
Robusto, Pastilla, Tantoko, Medici, Scheherazade's, Vistula, Lautrec
Tantoko, Medici, Scheherazade's, Robusto, Vistula, Pastilla, Lautrec
Tantoko, Robusto, Medici, Vistula, Pastilla, Scheherazade's, Lautrec
Robusto, Pastilla, Scheherazade's, Medici, Vistula, Tantoko, Lautrec
Correct option (0-indexed): 2
A critic ranks exactly seven restaurants—Lautrec, Medici, Pastilla, Robusto, Scheherazade's, Tantoko, and Vistula—from highest (best) to lowest (worst). The ranking must meet the following conditions: Pastilla ranks higher than Lautrec but lower than Robusto. Medici ranks higher than Vistula but lower than Tantoko. If Scheherazade's ranks higher than Pastilla, Medici ranks higher than Scheherazade's. If Medici ranks higher than Scheherazade's, Scheherazade's ranks higher than Pastilla. There are no ties.

Question: If Pastilla ranks second highest, then which one of the following is a complete and accurate list of restaurants any one of which could be ranked fourth highest?
Options:
Lautrec
Lautrec, Vistula
Scheherazade's, Lautrec
Scheherazade's, Lautrec, Medici
Scheherazade's, Lautrec, Tantoko
Correct option (0-indexed): 4
A critic ranks exactly seven restaurants—Lautrec, Medici, Pastilla, Robusto, Scheherazade's, Tantoko, and Vistula—from highest (best) to lowest (worst). The ranking must meet the following conditions: Pastilla ranks higher than Lautrec but lower than Robusto. Medici ranks higher than Vistula but lower than Tantoko. If Scheherazade's ranks higher than Pastilla, Medici ranks higher than Scheherazade's. If Medici ranks higher than Scheherazade's, Scheherazade's ranks higher than Pastilla. There are no ties.

Question: Which one of the following is the lowest ranking that Medici could have?
Options:
second highest
third highest
fourth highest
fifth highest
sixth highest
Correct option (0-indexed): 4
A critic ranks exactly seven restaurants—Lautrec, Medici, Pastilla, Robusto, Scheherazade's, Tantoko, and Vistula—from highest (best) to lowest (worst). The ranking must meet the following conditions: Pastilla ranks higher than Lautrec but lower than Robusto. Medici ranks higher than Vistula but lower than Tantoko. If Scheherazade's ranks higher than Pastilla, Medici ranks higher than Scheherazade's. If Medici ranks higher than Scheherazade's, Scheherazade's ranks higher than Pastilla. There are no ties.

Question: If Medici ranks lower than Lautrec, then which one of the following must be true?
Options:
Lautrec ranks higher than Tantoko.
Scheherazade's ranks higher than Vistula.
Pastilla ranks higher than Tantoko.
Tantoko ranks higher than Scheherazade's.
Tantoko ranks higher than Pastilla.
Correct option (0-indexed): 1
A critic ranks exactly seven restaurants—Lautrec, Medici, Pastilla, Robusto, Scheherazade's, Tantoko, and Vistula—from highest (best) to lowest (worst). The ranking must meet the following conditions: Pastilla ranks higher than Lautrec but lower than Robusto. Medici ranks higher than Vistula but lower than Tantoko. If Scheherazade's ranks higher than Pastilla, Medici ranks higher than Scheherazade's. If Medici ranks higher than Scheherazade's, Scheherazade's ranks higher than Pastilla. There are no ties.

Question: If Vistula ranks higher than Robusto, then which one of the following restaurants could be ranked fifth highest?
Options:
Tantoko
Medici
Scheherazade's
Vistula
Pastilla
Correct option (0-indexed): 2
A critic ranks exactly seven restaurants—Lautrec, Medici, Pastilla, Robusto, Scheherazade's, Tantoko, and Vistula—from highest (best) to lowest (worst). The ranking must meet the following conditions: Pastilla ranks higher than Lautrec but lower than Robusto. Medici ranks higher than Vistula but lower than Tantoko. If Scheherazade's ranks higher than Pastilla, Medici ranks higher than Scheherazade's. If Medici ranks higher than Scheherazade's, Scheherazade's ranks higher than Pastilla. There are no ties.

Question: Which one of the following CANNOT be true?
Options:
Pastilla ranks second highest.
Vistula ranks third highest.
Lautrec ranks third highest.
Robusto ranks fifth highest.
Scheherazade's ranks sixth highest.
Correct option (0-indexed): 4
A critic ranks exactly seven restaurants—Lautrec, Medici, Pastilla, Robusto, Scheherazade's, Tantoko, and Vistula—from highest (best) to lowest (worst). The ranking must meet the following conditions: Pastilla ranks higher than Lautrec but lower than Robusto. Medici ranks higher than Vistula but lower than Tantoko. If Scheherazade's ranks higher than Pastilla, Medici ranks higher than Scheherazade's. If Medici ranks higher than Scheherazade's, Scheherazade's ranks higher than Pastilla. There are no ties.

Question: If Tantoko is ranked third highest, then which one of the following CANNOT be true?
Options:
Lautrec ranked fourth highest.
Pastilla is ranked fifth highest.
Medici is ranked fifth highest.
Scheherazade's is ranked fifth highest.
Medici is ranked sixth highest.
Correct option (0-indexed): 1
Each of exactly three parks—Jessup, Island, and Hilltop—has at least one attraction. Each attraction is exactly one of five different types: fountain, garden, museum, playground, or theater. Among the three parks at least one of each type of attraction is included. No two attractions of the same type are included in any park. The following conditions must apply: Each of exactly two parks has a garden. Jessup has a museum but not a theater. Island has exactly one attraction. No park has both a playground and a fountain. Each park that has a theater also has a garden. Each park that has a museum also has a playground.

Question: Which one of the following could be a complete and accurate matching of each park to its attractions?
Options:
Jessup: garden, museum; Island: playground; Hilltop: garden, theater
Jessup: museum, theater; Island: garden; Hilltop: fountain, garden, playground, theater
Jessup: garden, museum, playground; Island: theater; Hilltop: garden, museum, playground
Jessup: garden, museum, playground; Island: fountain; Hilltop: garden, theater
Jessup: museum, playground; Island: fountain, garden; Hilltop: garden, theater
Correct option (0-indexed): 3
Each of exactly three parks—Jessup, Island, and Hilltop—has at least one attraction. Each attraction is exactly one of five different types: fountain, garden, museum, playground, or theater. Among the three parks at least one of each type of attraction is included. No two attractions of the same type are included in any park. The following conditions must apply: Each of exactly two parks has a garden. Jessup has a museum but not a theater. Island has exactly one attraction. No park has both a playground and a fountain. Each park that has a theater also has a garden. Each park that has a museum also has a playground.

Question: Which one of the following CANNOT be true?
Options:
Neither Island nor Hilltop has a museum.
Neither Island nor Hilltop has a playground.
Neither Jessup nor Hilltop has a fountain.
Neither Jessup nor Island has a garden.
Neither Jessup nor Island has a theater.
Correct option (0-indexed): 3
Each of exactly three parks—Jessup, Island, and Hilltop—has at least one attraction. Each attraction is exactly one of five different types: fountain, garden, museum, playground, or theater. Among the three parks at least one of each type of attraction is included. No two attractions of the same type are included in any park. The following conditions must apply: Each of exactly two parks has a garden. Jessup has a museum but not a theater. Island has exactly one attraction. No park has both a playground and a fountain. Each park that has a theater also has a garden. Each park that has a museum also has a playground.

Question: If each of exactly two of the parks has a fountain, then which one of the following could be true?
Options:
Island does not have a fountain.
Jessup does not have a garden.
Jessup has exactly two attractions.
Hilltop has exactly three attractions.
Hilltop has exactly four attractions.
Correct option (0-indexed): 3
Each of exactly three parks—Jessup, Island, and Hilltop—has at least one attraction. Each attraction is exactly one of five different types: fountain, garden, museum, playground, or theater. Among the three parks at least one of each type of attraction is included. No two attractions of the same type are included in any park. The following conditions must apply: Each of exactly two parks has a garden. Jessup has a museum but not a theater. Island has exactly one attraction. No park has both a playground and a fountain. Each park that has a theater also has a garden. Each park that has a museum also has a playground.

Question: If Jessup has exactly three attractions, then it is possible to determine the exact set of attractions featured by which of the parks?
Options:
Island only
Jessup only
Island and Hilltop only
Island and Jessup only
Jessup, Island, and Hilltop
Correct option (0-indexed): 1
Each of exactly three parks—Jessup, Island, and Hilltop—has at least one attraction. Each attraction is exactly one of five different types: fountain, garden, museum, playground, or theater. Among the three parks at least one of each type of attraction is included. No two attractions of the same type are included in any park. The following conditions must apply: Each of exactly two parks has a garden. Jessup has a museum but not a theater. Island has exactly one attraction. No park has both a playground and a fountain. Each park that has a theater also has a garden. Each park that has a museum also has a playground.

Question: If the attraction included in Island is of the same type as an attraction included in Jessup, then which one of the following must be true?
Options:
Hilltop has a playground.
Island has a museum.
Island has a fountain.
Island has a garden.
Jessup has a garden.
Correct option (0-indexed): 4
Each of exactly three parks—Jessup, Island, and Hilltop—has at least one attraction. Each attraction is exactly one of five different types: fountain, garden, museum, playground, or theater. Among the three parks at least one of each type of attraction is included. No two attractions of the same type are included in any park. The following conditions must apply: Each of exactly two parks has a garden. Jessup has a museum but not a theater. Island has exactly one attraction. No park has both a playground and a fountain. Each park that has a theater also has a garden. Each park that has a museum also has a playground.

Question: Which one of the following could be true?
Options:
Both Hilltop and Island have a garden.
Both Hilltop and Island have a playground.
Both Hilltop and Island have a theater.
Both Island and Jessup have a fountain.
Both Island and Jessup have a garden.
Correct option (0-indexed): 0
Each of exactly three parks—Jessup, Island, and Hilltop—has at least one attraction. Each attraction is exactly one of five different types: fountain, garden, museum, playground, or theater. Among the three parks at least one of each type of attraction is included. No two attractions of the same type are included in any park. The following conditions must apply: Each of exactly two parks has a garden. Jessup has a museum but not a theater. Island has exactly one attraction. No park has both a playground and a fountain. Each park that has a theater also has a garden. Each park that has a museum also has a playground.

Question: If Hilltop has exactly three attractions, then each of the following could be true EXCEPT:
Options:
Hilltop has a museum.
Hilltop has a playground.
Island does not have a fountain.
Island has a garden.
Jessup has a garden.
Correct option (0-indexed): 0
Each year for the next three years, Dynamic Motors will assemble four new automobile models—the Volante, the Whisper, the Xavier, and the Ziggurat—in exactly five of its factories—F, G, H, I, and K. Each factory will assemble exactly one model in each year. Because of contractual obligations Dynamic will assemble all four models each year according to the following constraints: No model is manufactured in the same factory in consecutive years. Neither Volantes nor Whispers are assembled in any factory in which Xaviers were assembled the previous year. Neither Volantes nor Xaviers are assembled in any factory in which Ziggurats were assembled the previous year. In any year, only one factory assembles Zigurats.

Question: Which one of the following could be the assembly schedule for factories F and G for the first two years?
Options:
year 1: Volantes in F, Ziggurats in G year 2: Xaviers in F, Whispers in G
year 1: Whispers in F, Xaviers in G year 2: Whispers in F, Ziggurats in G
year 1: Xaviers in F, Volantes in G year 2: Ziggurats in F, Ziggurats in G
year 1: Xaviers in F, Xaviers in G year 2: Whispers in F, Ziggurats in G
year 1: Ziggurats in F, Whispers in G year 2: Volantes in F, Volantes in G
Correct option (0-indexed): 0
Each year for the next three years, Dynamic Motors will assemble four new automobile models—the Volante, the Whisper, the Xavier, and the Ziggurat—in exactly five of its factories—F, G, H, I, and K. Each factory will assemble exactly one model in each year. Because of contractual obligations Dynamic will assemble all four models each year according to the following constraints: No model is manufactured in the same factory in consecutive years. Neither Volantes nor Whispers are assembled in any factory in which Xaviers were assembled the previous year. Neither Volantes nor Xaviers are assembled in any factory in which Ziggurats were assembled the previous year. In any year, only one factory assembles Zigurats.

Question: If in the first year Volantes and Whispers are assembled in F and G, respectively, the models that are assembled in the second year in F and G, respectively, could be
Options:
Volantes and Whispers
Whispers and Volantes
Whispers and Ziggurats
Ziggurats and Whispers
Ziggurats and Ziggurats
Correct option (0-indexed): 1
Each year for the next three years, Dynamic Motors will assemble four new automobile models—the Volante, the Whisper, the Xavier, and the Ziggurat—in exactly five of its factories—F, G, H, I, and K. Each factory will assemble exactly one model in each year. Because of contractual obligations Dynamic will assemble all four models each year according to the following constraints: No model is manufactured in the same factory in consecutive years. Neither Volantes nor Whispers are assembled in any factory in which Xaviers were assembled the previous year. Neither Volantes nor Xaviers are assembled in any factory in which Ziggurats were assembled the previous year. In any year, only one factory assembles Zigurats.

Question: Which one of the following must be true?
Options:
Xaviers are assembled in exactly two of the factories in the first year.
Xaviers are assembled in exactly one of the factories in the second year.
Xaviers are assembled in exactly two of the factories in the second year.
Xaviers are assembled in exactly one of the factories in the third year.
Xaviers are assembled in exactly two of the factories in the third year.
Correct option (0-indexed): 1
Each year for the next three years, Dynamic Motors will assemble four new automobile models—the Volante, the Whisper, the Xavier, and the Ziggurat—in exactly five of its factories—F, G, H, I, and K. Each factory will assemble exactly one model in each year. Because of contractual obligations Dynamic will assemble all four models each year according to the following constraints: No model is manufactured in the same factory in consecutive years. Neither Volantes nor Whispers are assembled in any factory in which Xaviers were assembled the previous year. Neither Volantes nor Xaviers are assembled in any factory in which Ziggurats were assembled the previous year. In any year, only one factory assembles Zigurats.

Question: If in the second year Ziggurats are assembled in F, which one of the following must be true?
Options:
Volantes are assembled in exactly one of the factories in the third year.
Whispers are assembled in exactly one of the factories in the third year.
Volantes are assembled in F in the first year.
Whispers are assembled in F in the first year.
Xaviers are assembled in F in the first year.
Correct option (0-indexed): 4
Each year for the next three years, Dynamic Motors will assemble four new automobile models—the Volante, the Whisper, the Xavier, and the Ziggurat—in exactly five of its factories—F, G, H, I, and K. Each factory will assemble exactly one model in each year. Because of contractual obligations Dynamic will assemble all four models each year according to the following constraints: No model is manufactured in the same factory in consecutive years. Neither Volantes nor Whispers are assembled in any factory in which Xaviers were assembled the previous year. Neither Volantes nor Xaviers are assembled in any factory in which Ziggurats were assembled the previous year. In any year, only one factory assembles Zigurats.

Question: If in the second year Volantes and Whispers are assembled in F and G, respectively, the models that are assembled in the first year in F and G, respectively, could be
Options:
Whispers and Volantes
Whispers and Xaviers
Xaviers and Volantes
Xaviers and Ziggurats
Ziggurats and Volantes
Correct option (0-indexed): 0
Each of seven television programs—H, J, L, P, Q, S, V—is assigned a different rank: from first through seventh (from most popular to least popular). The ranking is consistent with the following conditions: J and L are each less popular than H. J is more popular than Q. S and V are each less popular than L. P and S are each less popular than Q. S is not seventh.

Question: Which one of the following could be the order of the programs, from most popular to least popular?
Options:
J, H, L, Q, V, S, P
H, L, Q, J, S, P, V
H, J, Q, L, S, V, P
H, J, V, L, Q, S, P
H, L, V, J, Q, P, S
Correct option (0-indexed): 2
Each of seven television programs—H, J, L, P, Q, S, V—is assigned a different rank: from first through seventh (from most popular to least popular). The ranking is consistent with the following conditions: J and L are each less popular than H. J is more popular than Q. S and V are each less popular than L. P and S are each less popular than Q. S is not seventh.

Question: If J is more popular than L, and S is more popular than P, then which one of the following must be true of the ranking?
Options:
J is second.
J is third.
L is third.
Q is third.
P is seventh.
Correct option (0-indexed): 0
Each of seven television programs—H, J, L, P, Q, S, V—is assigned a different rank: from first through seventh (from most popular to least popular). The ranking is consistent with the following conditions: J and L are each less popular than H. J is more popular than Q. S and V are each less popular than L. P and S are each less popular than Q. S is not seventh.

Question: Which one of the following programs CANNOT be ranked third?
Options:
L
J
Q
V
P
Correct option (0-indexed): 4
Each of seven television programs—H, J, L, P, Q, S, V—is assigned a different rank: from first through seventh (from most popular to least popular). The ranking is consistent with the following conditions: J and L are each less popular than H. J is more popular than Q. S and V are each less popular than L. P and S are each less popular than Q. S is not seventh.

Question: If V is more popular than Q and J is less popular than L, then which one of the following could be true of the ranking?
Options:
P is more popular than S.
S is more popular than V.
P is more popular than L.
J is more popular than V.
Q is more popular than V.
Correct option (0-indexed): 3
Each of seven television programs—H, J, L, P, Q, S, V—is assigned a different rank: from first through seventh (from most popular to least popular). The ranking is consistent with the following conditions: J and L are each less popular than H. J is more popular than Q. S and V are each less popular than L. P and S are each less popular than Q. S is not seventh.

Question: If Q is more popular than L, then each of the following must be true of the ranking EXCEPT:
Options:
H is first.
L is fourth.
V is not fourth.
J is not third.
Q is third.
Correct option (0-indexed): 1
Bird-watchers explore a forest to see which of the following six kinds of birds—grosbeak, harrier, jay, martin, shrike, wren—it contains. The findings are consistent with the following conditions: If harriers are in the forest, then grosbeaks are not. If jays, martins, or both are in the forest, then so are harriers. If wrens are in the forest, then so are grosbeaks. If jays are not in the forest, then shrikes are.

Question: Which one of the following could be a complete and accurate list of the birds NOT in the forest?
Options:
jays, shrikes
harriers, grosbeaks
grosbeaks, jays, martins
grosbeaks, martins, shrikes, wrens
martins, shrikes
Correct option (0-indexed): 3
Bird-watchers explore a forest to see which of the following six kinds of birds—grosbeak, harrier, jay, martin, shrike, wren—it contains. The findings are consistent with the following conditions: If harriers are in the forest, then grosbeaks are not. If jays, martins, or both are in the forest, then so are harriers. If wrens are in the forest, then so are grosbeaks. If jays are not in the forest, then shrikes are.

Question: If both martins and harriers are in the forest, then which one of the following must be true?
Options:
Shrikes are the only other birds in the forest.
Jays are the only other birds in the forest.
The forest contains neither jays nor shrikes.
There are at least two other kinds of birds in the forest.
There are at most two other kinds of birds in the forest.
Correct option (0-indexed): 4
Bird-watchers explore a forest to see which of the following six kinds of birds—grosbeak, harrier, jay, martin, shrike, wren—it contains. The findings are consistent with the following conditions: If harriers are in the forest, then grosbeaks are not. If jays, martins, or both are in the forest, then so are harriers. If wrens are in the forest, then so are grosbeaks. If jays are not in the forest, then shrikes are.

Question: If jays are not in the forest, then which one of the following must be false?
Options:
Martins are in the forest.
Harriers are in the forest.
Neither martins nor harriers are in the forest.
Neither martins nor shrikes are in the forest.
Harriers and shrikes are the only birds in the forest.
Correct option (0-indexed): 3
Bird-watchers explore a forest to see which of the following six kinds of birds—grosbeak, harrier, jay, martin, shrike, wren—it contains. The findings are consistent with the following conditions: If harriers are in the forest, then grosbeaks are not. If jays, martins, or both are in the forest, then so are harriers. If wrens are in the forest, then so are grosbeaks. If jays are not in the forest, then shrikes are.

Question: Which one of the following is the maximum number of the six kinds of birds the forest could contain?
Options:
two
three
four
five
six
Correct option (0-indexed): 2
Bird-watchers explore a forest to see which of the following six kinds of birds—grosbeak, harrier, jay, martin, shrike, wren—it contains. The findings are consistent with the following conditions: If harriers are in the forest, then grosbeaks are not. If jays, martins, or both are in the forest, then so are harriers. If wrens are in the forest, then so are grosbeaks. If jays are not in the forest, then shrikes are.

Question: Which one of the following pairs of birds CANNOT be among those birds contained in the forest?
Options:
jays, wrens
jays, shrikes
shrikes, wrens
jays, martins
shrikes, martins
Correct option (0-indexed): 0
Bird-watchers explore a forest to see which of the following six kinds of birds—grosbeak, harrier, jay, martin, shrike, wren—it contains. The findings are consistent with the following conditions: If harriers are in the forest, then grosbeaks are not. If jays, martins, or both are in the forest, then so are harriers. If wrens are in the forest, then so are grosbeaks. If jays are not in the forest, then shrikes are.

Question: If grosbeaks are in the forest, then which one of the following must be true?
Options:
Shrikes are in the forest.
Wrens are in the forest.
The forest contains both wrens and shrikes.
At most two kinds of birds are in the forest.
At least three kinds of birds are in the forest.
Correct option (0-indexed): 0
Bird-watchers explore a forest to see which of the following six kinds of birds—grosbeak, harrier, jay, martin, shrike, wren—it contains. The findings are consistent with the following conditions: If harriers are in the forest, then grosbeaks are not. If jays, martins, or both are in the forest, then so are harriers. If wrens are in the forest, then so are grosbeaks. If jays are not in the forest, then shrikes are.

Question: Suppose the condition is added that if shrikes are in the forest, then harriers are not. If all other conditions remain in effect, then which one of the following could be true?
Options:
The forest contains both jays and shrikes.
The forest contains both wrens and shrikes.
The forest contains both martins and shrikes.
Jays are not in the forest, whereas martins are.
Only two of the six kinds of birds are not in the forest.
Correct option (0-indexed): 1
From among ten stones, a jeweler will select six, one for each of six rings. Of the stones, three—F, G, and H—are rubies; three—J, K, and M—are sapphires; and four—W, X, Y, and Z—are topazes. The selection of stones must meet the following restrictions: At least two of the topazes are selected. If exactly two of the sapphires are selected, exactly one of the rubies is selected. If W is selected, neither H nor Z is selected. If M is selected, W is also selected.

Question: Which one of the following could be the selection of stones?
Options:
F, G, H, M, X, Y
F, G, J, K, M, W
F, G, J, K, W, X
G, H, J, X, Y, Z
G, H, K, W, X, Z
Correct option (0-indexed): 3
From among ten stones, a jeweler will select six, one for each of six rings. Of the stones, three—F, G, and H—are rubies; three—J, K, and M—are sapphires; and four—W, X, Y, and Z—are topazes. The selection of stones must meet the following restrictions: At least two of the topazes are selected. If exactly two of the sapphires are selected, exactly one of the rubies is selected. If W is selected, neither H nor Z is selected. If M is selected, W is also selected.

Question: Which one of the following most be true?
Options:
G is selected.
J is selected.
X is selected.
Of at least one of the three types of stones, exactly one stone is selected.
Of at least one of the three types of stones, exactly three stones are selected.
Correct option (0-indexed): 4
From among ten stones, a jeweler will select six, one for each of six rings. Of the stones, three—F, G, and H—are rubies; three—J, K, and M—are sapphires; and four—W, X, Y, and Z—are topazes. The selection of stones must meet the following restrictions: At least two of the topazes are selected. If exactly two of the sapphires are selected, exactly one of the rubies is selected. If W is selected, neither H nor Z is selected. If M is selected, W is also selected.

Question: If Z is selected, which one of the following could be true?
Options:
All three of the sapphires are selected.
Both J and M are selected.
Both K and M are selected.
None of the rubies is selected.
None of the sapphires is selected.
Correct option (0-indexed): 4
From among ten stones, a jeweler will select six, one for each of six rings. Of the stones, three—F, G, and H—are rubies; three—J, K, and M—are sapphires; and four—W, X, Y, and Z—are topazes. The selection of stones must meet the following restrictions: At least two of the topazes are selected. If exactly two of the sapphires are selected, exactly one of the rubies is selected. If W is selected, neither H nor Z is selected. If M is selected, W is also selected.

Question: If exactly two rubies are selected, which one of the following must be true?
Options:
H is selected.
J is selected.
Z is selected.
Exactly one sapphire is selected.
Exactly two topazes are selected.
Correct option (0-indexed): 3
From among ten stones, a jeweler will select six, one for each of six rings. Of the stones, three—F, G, and H—are rubies; three—J, K, and M—are sapphires; and four—W, X, Y, and Z—are topazes. The selection of stones must meet the following restrictions: At least two of the topazes are selected. If exactly two of the sapphires are selected, exactly one of the rubies is selected. If W is selected, neither H nor Z is selected. If M is selected, W is also selected.

Question: Which one of the following must be true?
Options:
The selection of stones includes at least one ruby.
The selection of stones includes at most two rubies.
The selection of stones includes either F or Z, or both.
The selection of stones includes either X or Y, or both.
The selection of stones includes either X or Z, or both.
Correct option (0-indexed): 3
From among ten stones, a jeweler will select six, one for each of six rings. Of the stones, three—F, G, and H—are rubies; three—J, K, and M—are sapphires; and four—W, X, Y, and Z—are topazes. The selection of stones must meet the following restrictions: At least two of the topazes are selected. If exactly two of the sapphires are selected, exactly one of the rubies is selected. If W is selected, neither H nor Z is selected. If M is selected, W is also selected.

Question: If J and M are the only sapphires selected, which one of the following could be true?
Options:
F and G are both selected.
F and X are both selected.
G and H are both selected.
G and K are both selected.
Y and Z are both selected.
Correct option (0-indexed): 1
There are exactly ten stores and no other buildings on Oak Street. On the north side of the street, from west to east, are stores 1, 3, 5, 7, and 9; on the south side of the street, also from west to east, are stores 2, 4, 6, 8, and 10. The stores on the north side are located directly across the street from those on the south side, facing each other in pairs, as follows: 1 and 2; 3 and 4; 5 and 6; 7 and 8; 9 and 10. Each store is decorated with lights in exactly one of the following colors: green, red, and yellow. The stores have been decorated with lights according to the following conditions: No store is decorated with lights of the same color as those of any store adjacent to it. No store is decorated with lights of the same color as those of the store directly across the street from it. Yellow lights decorate exactly one store on each side of the street. Red lights decorate store 4. Yellow lights decorate store 5.

Question: Which one of the following could be an accurate list of the colors of the lights that decorate stores 2, 4, 6, 8, and 10, respectively?
Options:
green, red, green, red, green
green, red, green, yellow, red
green, red, yellow, red, green
yellow, green, red, green, red
yellow, red, green, red, yellow
Correct option (0-indexed): 1
There are exactly ten stores and no other buildings on Oak Street. On the north side of the street, from west to east, are stores 1, 3, 5, 7, and 9; on the south side of the street, also from west to east, are stores 2, 4, 6, 8, and 10. The stores on the north side are located directly across the street from those on the south side, facing each other in pairs, as follows: 1 and 2; 3 and 4; 5 and 6; 7 and 8; 9 and 10. Each store is decorated with lights in exactly one of the following colors: green, red, and yellow. The stores have been decorated with lights according to the following conditions: No store is decorated with lights of the same color as those of any store adjacent to it. No store is decorated with lights of the same color as those of the store directly across the street from it. Yellow lights decorate exactly one store on each side of the street. Red lights decorate store 4. Yellow lights decorate store 5.

Question: If green lights decorate store 7, then each of the following statements could be false EXCEPT:
Options:
Green lights decorate store 2.
Green lights decorate store 10.
Red lights decorate store 8.
Red lights decorate store 9.
Yellow lights decorate store 2.
Correct option (0-indexed): 3
There are exactly ten stores and no other buildings on Oak Street. On the north side of the street, from west to east, are stores 1, 3, 5, 7, and 9; on the south side of the street, also from west to east, are stores 2, 4, 6, 8, and 10. The stores on the north side are located directly across the street from those on the south side, facing each other in pairs, as follows: 1 and 2; 3 and 4; 5 and 6; 7 and 8; 9 and 10. Each store is decorated with lights in exactly one of the following colors: green, red, and yellow. The stores have been decorated with lights according to the following conditions: No store is decorated with lights of the same color as those of any store adjacent to it. No store is decorated with lights of the same color as those of the store directly across the street from it. Yellow lights decorate exactly one store on each side of the street. Red lights decorate store 4. Yellow lights decorate store 5.

Question: Which one of the following statements must be true?
Options:
Green lights decorate store 10.
Red lights decorate store 1.
Red lights decorate store 8.
Yellow lights decorate store 8.
Yellow lights decorate store 10.
Correct option (0-indexed): 1