benlipkin/arlsat huggingface dataset:
A hobbyist is stocking her aquarium with exactly three fish of different types and with exactly two species of plants. The only fish under consideration are a G, an H, a J, a K, and an L, and the only kinds of plants under consideration are of the species W, X, Y, and Z. She will observe the following conditions: If she selects the G, she can select neither the H nor a Y. She cannot select the H unless she selects the K. She cannot select the J unless she selects a W. If she selects the K, she must select an X.

Question: If the hobbyist selects a Y, which one of the following must be the group of fish she selects?
Options:
G, H, K
H, J, K
H, J, L
H, K, L
J, K, L
Correct option (0-indexed): 3
A hobbyist is stocking her aquarium with exactly three fish of different types and with exactly two species of plants. The only fish under consideration are a G, an H, a J, a K, and an L, and the only kinds of plants under consideration are of the species W, X, Y, and Z. She will observe the following conditions: If she selects the G, she can select neither the H nor a Y. She cannot select the H unless she selects the K. She cannot select the J unless she selects a W. If she selects the K, she must select an X.

Question: The hobbyist could select any of the following plant combinations EXCEPT
Options:
W and X
W and Y
W and Z
X and Y
X and Z
Correct option (0-indexed): 1
A committee ranks five towns—Palmdale, Quietville, Riverdale, Seaside, Tidetown—from first (best) to fifth (worst) on each of three criteria: climate, location, friendliness. For each of the three criteria, none of the five towns receives the same ranking as any other town does. In climate, Tidetown is ranked third, and Seaside fourth. In location, Quietville is ranked second, Riverdale third, Palmdale fourth. In friendliness, Tidetown's ranking is better than Palmdale's, Quietville is ranked fourth and Seaside fifth. Riverdale receives a better ranking in climate than in friendliness. Quietville's three ranking are all different from each other.

Question: Which of the following is a complete and accurate list of the rankings any one of which could be the ranking on climate given to Riverdale?
Options:
first
first, second
first, fifth
second, fifth
first, second, fifth
Correct option (0-indexed): 1
A committee ranks five towns—Palmdale, Quietville, Riverdale, Seaside, Tidetown—from first (best) to fifth (worst) on each of three criteria: climate, location, friendliness. For each of the three criteria, none of the five towns receives the same ranking as any other town does. In climate, Tidetown is ranked third, and Seaside fourth. In location, Quietville is ranked second, Riverdale third, Palmdale fourth. In friendliness, Tidetown's ranking is better than Palmdale's, Quietville is ranked fourth and Seaside fifth. Riverdale receives a better ranking in climate than in friendliness. Quietville's three ranking are all different from each other.

Question: Which of the following is a town that CANNOT be ranked fifth on any one of the three criteria?
Options:
Palmdale
Quietville
Riverdale
Seaside
Tidetown
Correct option (0-indexed): 2
A committee ranks five towns—Palmdale, Quietville, Riverdale, Seaside, Tidetown—from first (best) to fifth (worst) on each of three criteria: climate, location, friendliness. For each of the three criteria, none of the five towns receives the same ranking as any other town does. In climate, Tidetown is ranked third, and Seaside fourth. In location, Quietville is ranked second, Riverdale third, Palmdale fourth. In friendliness, Tidetown's ranking is better than Palmdale's, Quietville is ranked fourth and Seaside fifth. Riverdale receives a better ranking in climate than in friendliness. Quietville's three ranking are all different from each other.

Question: Which of the following could be true?
Options:
Palmdale is ranked first in both climate and friendliness.
Quietville is ranked second in both climate and location.
Riverdale is ranked first in climate and third in both location and friendliness.
Seaside is ranked fifth in friendliness and fourth in both climate and location.
Tidetown is ranked third in both climate and friendliness.
Correct option (0-indexed): 2
A committee ranks five towns—Palmdale, Quietville, Riverdale, Seaside, Tidetown—from first (best) to fifth (worst) on each of three criteria: climate, location, friendliness. For each of the three criteria, none of the five towns receives the same ranking as any other town does. In climate, Tidetown is ranked third, and Seaside fourth. In location, Quietville is ranked second, Riverdale third, Palmdale fourth. In friendliness, Tidetown's ranking is better than Palmdale's, Quietville is ranked fourth and Seaside fifth. Riverdale receives a better ranking in climate than in friendliness. Quietville's three ranking are all different from each other.

Question: If Quietville is ranked first in climate, then it must be true that
Options:
Palmdale is ranked second in climate
Palmdale is ranked third in friendliness
Riverdale is ranked second in friendliness
Riverdale is ranked third in friendliness
Tidetown is ranked fifth in location
Correct option (0-indexed): 3
A committee ranks five towns—Palmdale, Quietville, Riverdale, Seaside, Tidetown—from first (best) to fifth (worst) on each of three criteria: climate, location, friendliness. For each of the three criteria, none of the five towns receives the same ranking as any other town does. In climate, Tidetown is ranked third, and Seaside fourth. In location, Quietville is ranked second, Riverdale third, Palmdale fourth. In friendliness, Tidetown's ranking is better than Palmdale's, Quietville is ranked fourth and Seaside fifth. Riverdale receives a better ranking in climate than in friendliness. Quietville's three ranking are all different from each other.

Question: If Palmdale is ranked second in climate, then which one of the following can be true?
Options:
Palmdale is ranked second in friendliness.
Quietville is ranked first in climate.
Riverdale is ranked first in friendliness.
Riverdale is ranked fifth in climate.
Tidetown is ranked third in friendliness.
Correct option (0-indexed): 0
A committee ranks five towns—Palmdale, Quietville, Riverdale, Seaside, Tidetown—from first (best) to fifth (worst) on each of three criteria: climate, location, friendliness. For each of the three criteria, none of the five towns receives the same ranking as any other town does. In climate, Tidetown is ranked third, and Seaside fourth. In location, Quietville is ranked second, Riverdale third, Palmdale fourth. In friendliness, Tidetown's ranking is better than Palmdale's, Quietville is ranked fourth and Seaside fifth. Riverdale receives a better ranking in climate than in friendliness. Quietville's three ranking are all different from each other.

Question: If Tidetown is ranked first in location and Riverdale is ranked second in friendliness, then it is possible to deduce with certainty all three rankings for exactly how many of the towns?
Options:
One
Two
Three
Four
Five
Correct option (0-indexed): 4
A committee ranks five towns—Palmdale, Quietville, Riverdale, Seaside, Tidetown—from first (best) to fifth (worst) on each of three criteria: climate, location, friendliness. For each of the three criteria, none of the five towns receives the same ranking as any other town does. In climate, Tidetown is ranked third, and Seaside fourth. In location, Quietville is ranked second, Riverdale third, Palmdale fourth. In friendliness, Tidetown's ranking is better than Palmdale's, Quietville is ranked fourth and Seaside fifth. Riverdale receives a better ranking in climate than in friendliness. Quietville's three ranking are all different from each other.

Question: Which one of the following statements CANNOT be true?
Options:
Palmdale is ranked first in climate.
Quietville is ranked fifth in climate.
Riverdale is ranked third in friendliness.
Seaside is ranked first in location.
Tidetown is ranked second in friendliness.
Correct option (0-indexed): 4
Petworld has exactly fourteen animals (three gerbils, three hamsters, three lizards, five snakes) that are kept in four separate cages (W, X, Y, Z) according to the following conditions: Each cage contains exactly two, four, or six animals. Any cage containing a gerbil also contains at least one hamster; any cage containing a hamster also contains at least one gerbil. Any cage containing a lizard also contains at least one snake; any cage containing a snake also contains at least one lizard. Neither cage Y nor cage Z contains a gerbil. Neither cage W nor cage X contains a lizard.

Question: Which one of the following could be a complete and accurate list of the animals kept in cages W and Y?
Options:
W: one gerbil and one hamster Y: two lizards and two snakes
W: one gerbil and two hamsters Y: one lizard and three snakes
W: two gerbils and two hamsters Y: one lizard and four snakes
W: two gerbils and two hamsters Y: three lizards and one snake
W: two gerbils and two lizards Y: two hamsters and two snakes
Correct option (0-indexed): 0
Petworld has exactly fourteen animals (three gerbils, three hamsters, three lizards, five snakes) that are kept in four separate cages (W, X, Y, Z) according to the following conditions: Each cage contains exactly two, four, or six animals. Any cage containing a gerbil also contains at least one hamster; any cage containing a hamster also contains at least one gerbil. Any cage containing a lizard also contains at least one snake; any cage containing a snake also contains at least one lizard. Neither cage Y nor cage Z contains a gerbil. Neither cage W nor cage X contains a lizard.

Question: If there are exactly two hamsters in cage W and the number of gerbils in cage X is equal to the number of snakes in cage Y, then the number of snakes in cage Z must be exactly
Options:
one
two
three
four
five
Correct option (0-indexed): 3
Petworld has exactly fourteen animals (three gerbils, three hamsters, three lizards, five snakes) that are kept in four separate cages (W, X, Y, Z) according to the following conditions: Each cage contains exactly two, four, or six animals. Any cage containing a gerbil also contains at least one hamster; any cage containing a hamster also contains at least one gerbil. Any cage containing a lizard also contains at least one snake; any cage containing a snake also contains at least one lizard. Neither cage Y nor cage Z contains a gerbil. Neither cage W nor cage X contains a lizard.

Question: If cage Z contains exactly twice as many lizards as cage Y, which one of the following can be true?
Options:
Cage Y contains exactly two lizards.
Cage Y contains exactly two snakes.
Cage Y contains exactly four animals.
Cage Z contains exactly three snakes.
Cage Z contains exactly two animals.
Correct option (0-indexed): 2
Petworld has exactly fourteen animals (three gerbils, three hamsters, three lizards, five snakes) that are kept in four separate cages (W, X, Y, Z) according to the following conditions: Each cage contains exactly two, four, or six animals. Any cage containing a gerbil also contains at least one hamster; any cage containing a hamster also contains at least one gerbil. Any cage containing a lizard also contains at least one snake; any cage containing a snake also contains at least one lizard. Neither cage Y nor cage Z contains a gerbil. Neither cage W nor cage X contains a lizard.

Question: If the number of animals in cage W is equal to the number of animals in cage Z, then which one of the following can be true?
Options:
Cage W contains exactly six animals.
Cage X contains exactly six animals.
Cage Y contains exactly one snake.
Cage Y contains exactly three snakes.
Cage Z contains exactly four snakes.
Correct option (0-indexed): 3
Petworld has exactly fourteen animals (three gerbils, three hamsters, three lizards, five snakes) that are kept in four separate cages (W, X, Y, Z) according to the following conditions: Each cage contains exactly two, four, or six animals. Any cage containing a gerbil also contains at least one hamster; any cage containing a hamster also contains at least one gerbil. Any cage containing a lizard also contains at least one snake; any cage containing a snake also contains at least one lizard. Neither cage Y nor cage Z contains a gerbil. Neither cage W nor cage X contains a lizard.

Question: If cage Y contains six animals, which one of the following must be true?
Options:
Cage W contains two gerbils.
Cage X contains four animals.
Cage Z contains two snakes.
The number of snakes in cage Y is equal to the number of lizards in cage Y.
The number of snakes in cage Z is equal to the number of lizards in cage Z.
Correct option (0-indexed): 4
Petworld has exactly fourteen animals (three gerbils, three hamsters, three lizards, five snakes) that are kept in four separate cages (W, X, Y, Z) according to the following conditions: Each cage contains exactly two, four, or six animals. Any cage containing a gerbil also contains at least one hamster; any cage containing a hamster also contains at least one gerbil. Any cage containing a lizard also contains at least one snake; any cage containing a snake also contains at least one lizard. Neither cage Y nor cage Z contains a gerbil. Neither cage W nor cage X contains a lizard.

Question: At most, how many snakes can occupy cage Y at any one time?
Options:
one
two
three
four
five
Correct option (0-indexed): 3
A soft drink manufacturer surveyed consumer preferences for exactly seven proposed names for its new soda: Jazz, Kola, Luck, Mist, Nipi, Oboy, and Ping. The manufacturer ranked the seven names according to the number of votes they received. The name that received the most votes was ranked first. Every name received a different number of votes. Some of the survey results are as follows: Jazz received more votes than Oboy. Oboy received more votes than Kola. Kola received more votes than Mist. Nipi did not receive the fewest votes. Ping received fewer votes than Luck but more votes than Nipi and more votes than Oboy.

Question: Which one of the following could be an accurate list of the seven names in rank order from first through seventh?
Options:
Jazz, Luck, Ping, Nipi, Kola, Oboy, Mist
Jazz, Luck, Ping, Oboy, Kola, Mist, Nipi
Luck, Ping, Jazz, Nipi, Oboy, Kola, Mist
Luck, Ping, Nipi, Oboy, Jazz, Kola, Mist
Ping, Luck, Jazz, Oboy, Nipi, Kola, Mist
Correct option (0-indexed): 2
A soft drink manufacturer surveyed consumer preferences for exactly seven proposed names for its new soda: Jazz, Kola, Luck, Mist, Nipi, Oboy, and Ping. The manufacturer ranked the seven names according to the number of votes they received. The name that received the most votes was ranked first. Every name received a different number of votes. Some of the survey results are as follows: Jazz received more votes than Oboy. Oboy received more votes than Kola. Kola received more votes than Mist. Nipi did not receive the fewest votes. Ping received fewer votes than Luck but more votes than Nipi and more votes than Oboy.

Question: Which one of the following statements must be true?
Options:
Jazz received more votes than Nipi.
Kola received more votes than Nipi.
Luck received more votes than Jazz.
Nipi received more votes than Oboy.
Ping received more votes than Kola.
Correct option (0-indexed): 4
A soft drink manufacturer surveyed consumer preferences for exactly seven proposed names for its new soda: Jazz, Kola, Luck, Mist, Nipi, Oboy, and Ping. The manufacturer ranked the seven names according to the number of votes they received. The name that received the most votes was ranked first. Every name received a different number of votes. Some of the survey results are as follows: Jazz received more votes than Oboy. Oboy received more votes than Kola. Kola received more votes than Mist. Nipi did not receive the fewest votes. Ping received fewer votes than Luck but more votes than Nipi and more votes than Oboy.

Question: If the ranks of Ping, Oboy, and Kola were consecutive, then which one of the following statements would have to be false?
Options:
Jazz received more votes than Luck.
Jazz received more votes than Ping.
Nipi received more votes than Oboy.
Nipi received more votes than Mist.
Oboy received more votes than Nipi.
Correct option (0-indexed): 2
A soft drink manufacturer surveyed consumer preferences for exactly seven proposed names for its new soda: Jazz, Kola, Luck, Mist, Nipi, Oboy, and Ping. The manufacturer ranked the seven names according to the number of votes they received. The name that received the most votes was ranked first. Every name received a different number of votes. Some of the survey results are as follows: Jazz received more votes than Oboy. Oboy received more votes than Kola. Kola received more votes than Mist. Nipi did not receive the fewest votes. Ping received fewer votes than Luck but more votes than Nipi and more votes than Oboy.

Question: What is the total number of the soft drink names whose exact ranks can be deduced from the partial survey results?
Options:
one
two
three
four
five
Correct option (0-indexed): 0
A soft drink manufacturer surveyed consumer preferences for exactly seven proposed names for its new soda: Jazz, Kola, Luck, Mist, Nipi, Oboy, and Ping. The manufacturer ranked the seven names according to the number of votes they received. The name that received the most votes was ranked first. Every name received a different number of votes. Some of the survey results are as follows: Jazz received more votes than Oboy. Oboy received more votes than Kola. Kola received more votes than Mist. Nipi did not receive the fewest votes. Ping received fewer votes than Luck but more votes than Nipi and more votes than Oboy.

Question: What is the maximum possible number of the soft drink names any one of which could be among the three most popular?
Options:
three
four
five
six
seven
Correct option (0-indexed): 1
A soft drink manufacturer surveyed consumer preferences for exactly seven proposed names for its new soda: Jazz, Kola, Luck, Mist, Nipi, Oboy, and Ping. The manufacturer ranked the seven names according to the number of votes they received. The name that received the most votes was ranked first. Every name received a different number of votes. Some of the survey results are as follows: Jazz received more votes than Oboy. Oboy received more votes than Kola. Kola received more votes than Mist. Nipi did not receive the fewest votes. Ping received fewer votes than Luck but more votes than Nipi and more votes than Oboy.

Question: If Ping received more votes than Jazz, then what is the maximum possible number of names whose ranks can be determined?
Options:
two
three
four
five
six
Correct option (0-indexed): 1
Eight benches—J, K, L, T, U, X, Y, and Z are arranged along the perimeter of a park as shown below: The following is true: J, K, and L are green; T and U are red; X, Y, and Z are pink. The green benches stand next to one another along the park's perimeter. The pink benches stand next to one another along the park's perimeter. No green bench stands next to a pink bench. The bench on the southeast corner is T. J stands at the center of the park's north side. If T stands next to X, then T does not also stand next to L.

Question: Which one of the following benches could be on the northeast corner of the park?
Options:
Z
Y
X
T
L
Correct option (0-indexed): 4
Eight benches—J, K, L, T, U, X, Y, and Z are arranged along the perimeter of a park as shown below: The following is true: J, K, and L are green; T and U are red; X, Y, and Z are pink. The green benches stand next to one another along the park's perimeter. The pink benches stand next to one another along the park's perimeter. No green bench stands next to a pink bench. The bench on the southeast corner is T. J stands at the center of the park's north side. If T stands next to X, then T does not also stand next to L.

Question: Each of the following statements must be true EXCEPT:
Options:
The bench on the northwest corner is pink.
The bench on the northeast corner is green.
The bench on the southwest corner is pink.
The middle bench on the east side of the park is green.
The middle bench on the west side of the park is pink.
Correct option (0-indexed): 0
Eight benches—J, K, L, T, U, X, Y, and Z are arranged along the perimeter of a park as shown below: The following is true: J, K, and L are green; T and U are red; X, Y, and Z are pink. The green benches stand next to one another along the park's perimeter. The pink benches stand next to one another along the park's perimeter. No green bench stands next to a pink bench. The bench on the southeast corner is T. J stands at the center of the park's north side. If T stands next to X, then T does not also stand next to L.

Question: Which one of the following benches must be next to J?
Options:
K
L
T
U
X
Correct option (0-indexed): 3
Eight benches—J, K, L, T, U, X, Y, and Z are arranged along the perimeter of a park as shown below: The following is true: J, K, and L are green; T and U are red; X, Y, and Z are pink. The green benches stand next to one another along the park's perimeter. The pink benches stand next to one another along the park's perimeter. No green bench stands next to a pink bench. The bench on the southeast corner is T. J stands at the center of the park's north side. If T stands next to X, then T does not also stand next to L.

Question: For which one of the following benches are there two and no more than two locations either one of which could be the location the bench occupies?
Options:
K
T
X
Y
Z
Correct option (0-indexed): 0
Eight benches—J, K, L, T, U, X, Y, and Z are arranged along the perimeter of a park as shown below: The following is true: J, K, and L are green; T and U are red; X, Y, and Z are pink. The green benches stand next to one another along the park's perimeter. The pink benches stand next to one another along the park's perimeter. No green bench stands next to a pink bench. The bench on the southeast corner is T. J stands at the center of the park's north side. If T stands next to X, then T does not also stand next to L.

Question: If Z is directly north of Y, which one of the following statements must be true?
Options:
J is directly west of K.
K is directly east of U.
U is directly north of X.
X is directly south of J.
Z is directly south of J.
Correct option (0-indexed): 3
Eight benches—J, K, L, T, U, X, Y, and Z are arranged along the perimeter of a park as shown below: The following is true: J, K, and L are green; T and U are red; X, Y, and Z are pink. The green benches stand next to one another along the park's perimeter. The pink benches stand next to one another along the park's perimeter. No green bench stands next to a pink bench. The bench on the southeast corner is T. J stands at the center of the park's north side. If T stands next to X, then T does not also stand next to L.

Question: If Y is in the middle of the west side of the park, then the two benches in which one of the following pairs CANNOT be two of the corner benches?
Options:
K and X
K and Z
L and U
L and X
L and Z
Correct option (0-indexed): 1
Eight benches—J, K, L, T, U, X, Y, and Z are arranged along the perimeter of a park as shown below: The following is true: J, K, and L are green; T and U are red; X, Y, and Z are pink. The green benches stand next to one another along the park's perimeter. The pink benches stand next to one another along the park's perimeter. No green bench stands next to a pink bench. The bench on the southeast corner is T. J stands at the center of the park's north side. If T stands next to X, then T does not also stand next to L.

Question: If Y is farther south than L and farther north than T, then the benches in each of the following pairs must be next to each other EXCEPT
Options:
J and L
K and T
T and X
U and Y
X and Z
Correct option (0-indexed): 2
A lake contains exactly five islands—J, K, L, M, O—which are unconnected by bridges. Contractors will build a network of bridges that satisfies the following specifications: Each bridge directly connects exactly two islands with each other, and no two bridges intersect. No more than one bridge directly connects any two islands. No island has more than three bridges that directly connect it with other islands. J, K, and L are each directly connected by bridge with one or both of M and O. J is directly connected by bridge with exactly two islands. K is directly connected by bridge with exactly one island. A bridge directly connects J with O, and a bridge directly connects M with O.

Question: Which one of the following is a complete and accurate list of the islands any one of which could be directly connected by bridge with L ?
Options:
J, K
J, M
J, O
J, M, O
J, K, M, O
Correct option (0-indexed): 3
A lake contains exactly five islands—J, K, L, M, O—which are unconnected by bridges. Contractors will build a network of bridges that satisfies the following specifications: Each bridge directly connects exactly two islands with each other, and no two bridges intersect. No more than one bridge directly connects any two islands. No island has more than three bridges that directly connect it with other islands. J, K, and L are each directly connected by bridge with one or both of M and O. J is directly connected by bridge with exactly two islands. K is directly connected by bridge with exactly one island. A bridge directly connects J with O, and a bridge directly connects M with O.

Question: Which one of the following could be true about the completed network of bridges?
Options:
J is directly connected by bridge both with L and with M.
K is directly connected by bridge both with M and with O.
L is directly connected by bridge both with J and with M.
M is directly connected by bridge with J, with K, and with L.
O is directly connected by bridge with K, with L, and with M.
Correct option (0-indexed): 2
A lake contains exactly five islands—J, K, L, M, O—which are unconnected by bridges. Contractors will build a network of bridges that satisfies the following specifications: Each bridge directly connects exactly two islands with each other, and no two bridges intersect. No more than one bridge directly connects any two islands. No island has more than three bridges that directly connect it with other islands. J, K, and L are each directly connected by bridge with one or both of M and O. J is directly connected by bridge with exactly two islands. K is directly connected by bridge with exactly one island. A bridge directly connects J with O, and a bridge directly connects M with O.

Question: If a bridge directly connects K with O, then which one of the following could be true?
Options:
No bridge directly connects L with M.
A bridge directly connects J with L.
A bridge directly connects L with O.
There are exactly three bridges directly connecting L with other islands.
There are exactly two bridges directly connecting O with other islands.
Correct option (0-indexed): 1
A lake contains exactly five islands—J, K, L, M, O—which are unconnected by bridges. Contractors will build a network of bridges that satisfies the following specifications: Each bridge directly connects exactly two islands with each other, and no two bridges intersect. No more than one bridge directly connects any two islands. No island has more than three bridges that directly connect it with other islands. J, K, and L are each directly connected by bridge with one or both of M and O. J is directly connected by bridge with exactly two islands. K is directly connected by bridge with exactly one island. A bridge directly connects J with O, and a bridge directly connects M with O.

Question: If a bridge directly connects L with M and a bridge directly connects L with O, then which one of the following must be true?
Options:
A bridge directly connects J with M.
A bridge directly connects K with M.
A bridge directly connects K with O.
There are exactly two bridges directly connecting L with other islands.
There are exactly two bridges directly connecting M with other islands.
Correct option (0-indexed): 1
A lake contains exactly five islands—J, K, L, M, O—which are unconnected by bridges. Contractors will build a network of bridges that satisfies the following specifications: Each bridge directly connects exactly two islands with each other, and no two bridges intersect. No more than one bridge directly connects any two islands. No island has more than three bridges that directly connect it with other islands. J, K, and L are each directly connected by bridge with one or both of M and O. J is directly connected by bridge with exactly two islands. K is directly connected by bridge with exactly one island. A bridge directly connects J with O, and a bridge directly connects M with O.

Question: If no island that is directly connected by bridge with M is also directly connected by bridge with O, then there must be a bridge directly connecting
Options:
J with L
J with M
K with O
L with M
L with O
Correct option (0-indexed): 0
Each of five students—Hubert, Lori, Paul, Regina, and Sharon—will visit exactly one of three cities—Montreal, Toronto, or Vancouver—for the month of March, according to the following conditions: Sharon visits a different city than Paul. Hubert visits the same city as Regina. Lori visits Montreal or else Toronto. If Paul visits Vancouver, Hubert visits Vancouver with him. Each student visits one of the cities with at least one of the other four students.

Question: Which one of the following could be true for March?
Options:
Hubert, Lori, and Paul visit Toronto, and Regina and Sharon visit Vancouver.
Hubert, Lori, Paul, and Regina visit Montreal, and Sharon visits Vancouver.
Hubert, Paul, and Regina visit Toronto, and Lori and Sharon visit Montreal.
Hubert, Regina, and Sharon visit Montreal, and Lori and Paul visit Vancouver.
Lori, Paul, and Sharon visit Montreal, and Hubert and Regina visit Toronto.
Correct option (0-indexed): 2
Each of five students—Hubert, Lori, Paul, Regina, and Sharon—will visit exactly one of three cities—Montreal, Toronto, or Vancouver—for the month of March, according to the following conditions: Sharon visits a different city than Paul. Hubert visits the same city as Regina. Lori visits Montreal or else Toronto. If Paul visits Vancouver, Hubert visits Vancouver with him. Each student visits one of the cities with at least one of the other four students.

Question: If Hubert and Sharon visit a city together, which one of the following could be true in March?
Options:
Hubert visits the same city as Paul.
Lori visits the same city as Regina.
Paul visits the same city as Regina.
Paul visits Toronto.
Paul visits Vancouver.
Correct option (0-indexed): 3
Each of five students—Hubert, Lori, Paul, Regina, and Sharon—will visit exactly one of three cities—Montreal, Toronto, or Vancouver—for the month of March, according to the following conditions: Sharon visits a different city than Paul. Hubert visits the same city as Regina. Lori visits Montreal or else Toronto. If Paul visits Vancouver, Hubert visits Vancouver with him. Each student visits one of the cities with at least one of the other four students.

Question: If Sharon visits Vancouver, which one of the following must be true for March?
Options:
Hubert visits Montreal.
Lori visits Montreal.
Paul visits Toronto.
Lori visits the same city as Paul.
Lori visits the same city as Regina.
Correct option (0-indexed): 3
Each of five students—Hubert, Lori, Paul, Regina, and Sharon—will visit exactly one of three cities—Montreal, Toronto, or Vancouver—for the month of March, according to the following conditions: Sharon visits a different city than Paul. Hubert visits the same city as Regina. Lori visits Montreal or else Toronto. If Paul visits Vancouver, Hubert visits Vancouver with him. Each student visits one of the cities with at least one of the other four students.

Question: Which one of the following could be false in March?
Options:
Sharon must visit Montreal if Paul visits Vancouver.
Regina must visit Vancouver if Paul visits Vancouver.
Regina visits a city with exactly two of the other four students.
Lori visits a city with exactly one of the other four students.
Lori visits a city with Paul or else with Sharon.
Correct option (0-indexed): 0
Each of five students—Hubert, Lori, Paul, Regina, and Sharon—will visit exactly one of three cities—Montreal, Toronto, or Vancouver—for the month of March, according to the following conditions: Sharon visits a different city than Paul. Hubert visits the same city as Regina. Lori visits Montreal or else Toronto. If Paul visits Vancouver, Hubert visits Vancouver with him. Each student visits one of the cities with at least one of the other four students.

Question: If Regina visits Toronto, which one of the following could be true in March?
Options:
Lori visits Toronto.
Lori visits Vancouver.
Paul visits Toronto.
Paul visits Vancouver.
Sharon visits Vancouver.
Correct option (0-indexed): 2
Each of five students—Hubert, Lori, Paul, Regina, and Sharon—will visit exactly one of three cities—Montreal, Toronto, or Vancouver—for the month of March, according to the following conditions: Sharon visits a different city than Paul. Hubert visits the same city as Regina. Lori visits Montreal or else Toronto. If Paul visits Vancouver, Hubert visits Vancouver with him. Each student visits one of the cities with at least one of the other four students.

Question: Which one of the following must be true for March?
Options:
If any of the students visits Montreal, Lori visits Montreal.
If any of the students visits Montreal, exactly two of them do.
If any of the students visits Toronto, exactly three of them do.
If any of the students visits Vancouver, Paul visits Vancouver.
If any of the students visits Vancouver, exactly three of them do.
Correct option (0-indexed): 4
A college offers one course in each of three subjects—mathematics, nutrition, and oceanography—in the fall and again in the spring. Students' book orders for these course offerings are kept in six folders, numbered 1 through 6, from which labels identifying the folders' contents are missing. The following is known: Each folder contains only the orders for one of the six course offerings. Folder 1 contains orders for the same subject as folder 2 does. The orders in folder 3 are for a different subject than are the orders in folder 4. The fall mathematics orders are in folder 1 or else folder 4. The spring oceanography orders are in folder 1 or else folder 4. The spring nutrition orders are not in folder 5.

Question: Which one of the following could be the list of the contents of the folders, in order from folder 1 to folder 6 ?
Options:
fall mathematics, spring mathematics, fall oceanography, fall nutrition, spring nutrition, spring oceanography
fall oceanography, spring nutrition, fall nutrition, fall mathematics, spring mathematics, spring oceanography
spring mathematics, fall mathematics, spring nutrition, fall oceanography, fall nutrition, spring oceanography
spring oceanography, fall oceanography, fall nutrition, fall mathematics, spring mathematics, spring nutrition
spring oceanography, fall oceanography, spring mathematics, fall mathematics, fall nutrition, spring nutrition
Correct option (0-indexed): 3
A college offers one course in each of three subjects—mathematics, nutrition, and oceanography—in the fall and again in the spring. Students' book orders for these course offerings are kept in six folders, numbered 1 through 6, from which labels identifying the folders' contents are missing. The following is known: Each folder contains only the orders for one of the six course offerings. Folder 1 contains orders for the same subject as folder 2 does. The orders in folder 3 are for a different subject than are the orders in folder 4. The fall mathematics orders are in folder 1 or else folder 4. The spring oceanography orders are in folder 1 or else folder 4. The spring nutrition orders are not in folder 5.

Question: Which one of the following statements must be false?
Options:
The spring mathematics orders are in folder 3.
The fall nutrition orders are in folder 3.
The spring oceanography orders are in folder 1.
The spring nutrition orders are in folder 6.
The fall oceanography orders are in folder 5.
Correct option (0-indexed): 0
A college offers one course in each of three subjects—mathematics, nutrition, and oceanography—in the fall and again in the spring. Students' book orders for these course offerings are kept in six folders, numbered 1 through 6, from which labels identifying the folders' contents are missing. The following is known: Each folder contains only the orders for one of the six course offerings. Folder 1 contains orders for the same subject as folder 2 does. The orders in folder 3 are for a different subject than are the orders in folder 4. The fall mathematics orders are in folder 1 or else folder 4. The spring oceanography orders are in folder 1 or else folder 4. The spring nutrition orders are not in folder 5.

Question: If the fall oceanography orders are in folder 2, then which one of the following statements could be true?
Options:
The spring mathematics orders are in folder 4.
The spring mathematics orders are in folder 6.
The fall nutrition orders are in folder 1.
The spring nutrition orders are in neither folder 3 nor folder 6.
Neither the spring nor the fall nutrition orders are in folder 3.
Correct option (0-indexed): 1
A college offers one course in each of three subjects—mathematics, nutrition, and oceanography—in the fall and again in the spring. Students' book orders for these course offerings are kept in six folders, numbered 1 through 6, from which labels identifying the folders' contents are missing. The following is known: Each folder contains only the orders for one of the six course offerings. Folder 1 contains orders for the same subject as folder 2 does. The orders in folder 3 are for a different subject than are the orders in folder 4. The fall mathematics orders are in folder 1 or else folder 4. The spring oceanography orders are in folder 1 or else folder 4. The spring nutrition orders are not in folder 5.

Question: Which one of the following statements could be true?
Options:
The spring mathematics orders are in folder 1.
The fall oceanography orders are in folder 1.
The fall nutrition orders are in folder 4, and the fall oceanography orders are in folder 6.
The fall oceanography orders are in folder 2, and the spring oceanography orders are in folder 1.
The spring oceanography orders are in folder 1, and neither the spring nor the fall nutrition orders are in folder 3.
Correct option (0-indexed): 3
A college offers one course in each of three subjects—mathematics, nutrition, and oceanography—in the fall and again in the spring. Students' book orders for these course offerings are kept in six folders, numbered 1 through 6, from which labels identifying the folders' contents are missing. The following is known: Each folder contains only the orders for one of the six course offerings. Folder 1 contains orders for the same subject as folder 2 does. The orders in folder 3 are for a different subject than are the orders in folder 4. The fall mathematics orders are in folder 1 or else folder 4. The spring oceanography orders are in folder 1 or else folder 4. The spring nutrition orders are not in folder 5.

Question: If the fall oceanography orders are in folder 2, then for exactly how many of the remaining five folders can it be deduced which course offering's orders are in that folder?
Options:
one
two
three
four
five
Correct option (0-indexed): 1
A college offers one course in each of three subjects—mathematics, nutrition, and oceanography—in the fall and again in the spring. Students' book orders for these course offerings are kept in six folders, numbered 1 through 6, from which labels identifying the folders' contents are missing. The following is known: Each folder contains only the orders for one of the six course offerings. Folder 1 contains orders for the same subject as folder 2 does. The orders in folder 3 are for a different subject than are the orders in folder 4. The fall mathematics orders are in folder 1 or else folder 4. The spring oceanography orders are in folder 1 or else folder 4. The spring nutrition orders are not in folder 5.

Question: Which one of the following lists a pair of folders that must together contain orders for two different subjects?
Options:
3 and 5
4 and 5
3 and 6
4 and 6
5 and 6
Correct option (0-indexed): 4
A college offers one course in each of three subjects—mathematics, nutrition, and oceanography—in the fall and again in the spring. Students' book orders for these course offerings are kept in six folders, numbered 1 through 6, from which labels identifying the folders' contents are missing. The following is known: Each folder contains only the orders for one of the six course offerings. Folder 1 contains orders for the same subject as folder 2 does. The orders in folder 3 are for a different subject than are the orders in folder 4. The fall mathematics orders are in folder 1 or else folder 4. The spring oceanography orders are in folder 1 or else folder 4. The spring nutrition orders are not in folder 5.

Question: Which one of the following could be true?
Options:
The fall mathematics and spring oceanography orders are in folders with consecutive numbers.
Folder 5 contains the orders for a spring course in a subject other than mathematics.
Folder 6 contains the orders for a subject other than nutrition.
The mathematics orders are in folders 1 and 4.
The orders for the fall courses are in folders 1, 3, and 6.
Correct option (0-indexed): 2
Greenburg has exactly five subway lines: Ll, L2, L3, L4, and L5. Along each of the lines, trains run in both directions, stopping at every station. Ll runs in a loop connecting exactly seven stations, their order being Rincon-Tonka-French-Semplain-Urstine-Quetzal-Park-Rincon in one direction of travel, and the reverse in the other direction. L2 connects Tonka with Semplain, and with no other station. L3 connects Rincon with Urstine, and with no other station. L4 runs from Quetzal through exactly one other station, Greene, to Rincon. L5 connects Quetzal with Tonka, and with no other station.

Question: How many different stations are there that a traveler starting at Rincon could reach by using the subway lines without making any intermediate stops?
Options:
two
three
four
five
six
Correct option (0-indexed): 2
Greenburg has exactly five subway lines: Ll, L2, L3, L4, and L5. Along each of the lines, trains run in both directions, stopping at every station. Ll runs in a loop connecting exactly seven stations, their order being Rincon-Tonka-French-Semplain-Urstine-Quetzal-Park-Rincon in one direction of travel, and the reverse in the other direction. L2 connects Tonka with Semplain, and with no other station. L3 connects Rincon with Urstine, and with no other station. L4 runs from Quetzal through exactly one other station, Greene, to Rincon. L5 connects Quetzal with Tonka, and with no other station.

Question: In order to go from Greene to Semplain taking the fewest possible subway lines and making the fewest possible stops, a traveler must make a stop at
Options:
French
Park
Quetzal
Rincon
Tonka
Correct option (0-indexed): 2
Greenburg has exactly five subway lines: Ll, L2, L3, L4, and L5. Along each of the lines, trains run in both directions, stopping at every station. Ll runs in a loop connecting exactly seven stations, their order being Rincon-Tonka-French-Semplain-Urstine-Quetzal-Park-Rincon in one direction of travel, and the reverse in the other direction. L2 connects Tonka with Semplain, and with no other station. L3 connects Rincon with Urstine, and with no other station. L4 runs from Quetzal through exactly one other station, Greene, to Rincon. L5 connects Quetzal with Tonka, and with no other station.

Question: If L3 is not running and a traveler goes by subway from Urstine to Rincon making the fewest possible stops, which one of the following lists all of the intermediate stations in sequence along one of the routes that the traveler could take?
Options:
Quetzal, Tonka
Semplain, French
Semplain, Park
Quetzal, Park, Greene
Semplain, French, Tonka
Correct option (0-indexed): 0
Greenburg has exactly five subway lines: Ll, L2, L3, L4, and L5. Along each of the lines, trains run in both directions, stopping at every station. Ll runs in a loop connecting exactly seven stations, their order being Rincon-Tonka-French-Semplain-Urstine-Quetzal-Park-Rincon in one direction of travel, and the reverse in the other direction. L2 connects Tonka with Semplain, and with no other station. L3 connects Rincon with Urstine, and with no other station. L4 runs from Quetzal through exactly one other station, Greene, to Rincon. L5 connects Quetzal with Tonka, and with no other station.

Question: In order to go by subway from French to Greene, the minimum number of intermediate stops a traveler must make is
Options:
zero
one
two
three
four
Correct option (0-indexed): 2
Greenburg has exactly five subway lines: Ll, L2, L3, L4, and L5. Along each of the lines, trains run in both directions, stopping at every station. Ll runs in a loop connecting exactly seven stations, their order being Rincon-Tonka-French-Semplain-Urstine-Quetzal-Park-Rincon in one direction of travel, and the reverse in the other direction. L2 connects Tonka with Semplain, and with no other station. L3 connects Rincon with Urstine, and with no other station. L4 runs from Quetzal through exactly one other station, Greene, to Rincon. L5 connects Quetzal with Tonka, and with no other station.

Question: If the tracks that directly connect Urstine and Quetzal are blocked in both directions, a traveler going from Semplain to Park and making the fewest possible intermediate stops must pass through
Options:
French or Tonka
Greene or Urstine
Quetzal or Tonka
Quetzal or Urstine or both
Rincon or Tonka or both
Correct option (0-indexed): 4
Greenburg has exactly five subway lines: Ll, L2, L3, L4, and L5. Along each of the lines, trains run in both directions, stopping at every station. Ll runs in a loop connecting exactly seven stations, their order being Rincon-Tonka-French-Semplain-Urstine-Quetzal-Park-Rincon in one direction of travel, and the reverse in the other direction. L2 connects Tonka with Semplain, and with no other station. L3 connects Rincon with Urstine, and with no other station. L4 runs from Quetzal through exactly one other station, Greene, to Rincon. L5 connects Quetzal with Tonka, and with no other station.

Question: If a sixth subway line is to be constructed so that all of the stations would have two or more lines reaching them, the stations connected by the new subway line must include at least
Options:
French, Greene, and Park
French, Greene, and Quetzal
French, Greene, and Rincon
Park, Tonka, and Urstine
Park, Semplain, and Tonka
Correct option (0-indexed): 0
Prior to this year's annual promotion review, the staff of a law firm consisted of partners Harrison and Rafael, associate Olivos, and assistants Ganz, Johnson, Lowry, Stefano, Turner, and Wilford. During each annual review, each assistant and associate is considered for promotion to the next higher rank, and at least one person is promoted from each of the two lower ranks. An assistant is promoted to associate when a majority of higherranking staff votes for promotion. An associate is promoted to partner when a majority of partners vote for promotion. Everyone eligible votes on every promotion. No one joins or leaves the firm. Olivos never votes for promoting Ganz, Johnson, or Turner. Rafael never votes for promoting Lowry or Stefano. Harrison never votes for promoting Johnson or Wilford.

Question: Which one of the following could be the distribution of staff resulting from this year's review?
Options:
Partner: Harrison, Olivos, Rafael. Associate: Ganz, Johnson, Lowry. Assistance: Stefano, Turner, Wilford
Partner: Harrison, Rafael. Associate: Lowry, Olivos, Stefano. Assistance: Ganz, Johnson, Turner, Wilford
Partner: Harrison, Olivos, Rafael, Stefano. Associate: Ganz, Lowry, Turner, Wilford. Assistance: Johnson
Partner: Harrison, Olivos, Rafael. Assistance: Ganz, Johnson, Lowry, Stefano, Turner, Wilford
Partner: Harrison, Olivos, Rafael. Associate: Ganz, Lowry Stefano, Turner. Assistance: Johnson, Wilford
Correct option (0-indexed): 4