benlipkin/arlsat huggingface dataset:
A cake has exactly six layers—lemon, marzipan, orange, raspberry, strawberry, and vanilla. There is exactly one bottom layer (the first layer), and each succeeding layer (from second through sixth) completely covers the layer beneath it. The following conditions must apply: The raspberry layer is neither immediately above nor immediately below the strawberry layer. The marzipan layer is immediately above the lemon layer. The orange layer is above the marzipan layer but below the strawberry layer.

Question: If the strawberry layer is not immediately above the orange layer, then which one of the following could be true?
Options:
The raspberry layer is immediately above the vanilla layer.
The raspberry layer is immediately above the orange layer.
The raspberry layer is immediately below the marzipan layer.
The raspberry layer is the second layer.
The raspberry layer is the top layer.
Correct option (0-indexed): 1
A cake has exactly six layers—lemon, marzipan, orange, raspberry, strawberry, and vanilla. There is exactly one bottom layer (the first layer), and each succeeding layer (from second through sixth) completely covers the layer beneath it. The following conditions must apply: The raspberry layer is neither immediately above nor immediately below the strawberry layer. The marzipan layer is immediately above the lemon layer. The orange layer is above the marzipan layer but below the strawberry layer.

Question: If the strawberry layer is not the top layer, then which one of the following is a complete and accurate list of the layers that could be the vanilla layer?
Options:
the first, the second, the third, the fourth, the fifth, the sixth
the second, the third, the fourth, the fifth, the sixth
the third, the fourth, the fifth, the sixth
the fourth, the fifth, the sixth
the fifth, the sixth
Correct option (0-indexed): 4
A cake has exactly six layers—lemon, marzipan, orange, raspberry, strawberry, and vanilla. There is exactly one bottom layer (the first layer), and each succeeding layer (from second through sixth) completely covers the layer beneath it. The following conditions must apply: The raspberry layer is neither immediately above nor immediately below the strawberry layer. The marzipan layer is immediately above the lemon layer. The orange layer is above the marzipan layer but below the strawberry layer.

Question: If the lemon layer is third, then which one of the following could be true?
Options:
The vanilla layer is fifth.
The vanilla layer is immediately above the raspberry layer.
The orange layer is not immediately above the marzipan layer.
The raspberry layer is above the marzipan layer.
The strawberry layer is not the top layer.
Correct option (0-indexed): 1
A cake has exactly six layers—lemon, marzipan, orange, raspberry, strawberry, and vanilla. There is exactly one bottom layer (the first layer), and each succeeding layer (from second through sixth) completely covers the layer beneath it. The following conditions must apply: The raspberry layer is neither immediately above nor immediately below the strawberry layer. The marzipan layer is immediately above the lemon layer. The orange layer is above the marzipan layer but below the strawberry layer.

Question: Which one of the following could be an accurate list of the two lowest layers of the cake, listed in order from the bottom up?
Options:
lemon, raspberry
vanilla, raspberry
marzipan, raspberry
raspberry, marzipan
raspberry, strawberry
Correct option (0-indexed): 1
A panel reviews six contract bids—H, J, K, R, S, and T. No two bids have the same cost. Exactly one of the bids is accepted. The following conditions must hold: The accepted bid is either K or R and is either the second or the third lowest in cost. H is lower in cost than each of J and K. If J is the fourth lowest in cost, then J is lower in cost than each of S and T. If J is not the fourth lowest in cost, then J is higher in cost than each of S and T. Either R or S is the fifth lowest in cost.

Question: Which one of the following could be an accurate list of the bids in order from lowest to highest in cost?
Options:
T, K, H, S, J, R
H, T, K, S, R, J
H, S, T, K, R, J
H, K, S, J, R, T
H, J, K, R, S, T
Correct option (0-indexed): 1
A panel reviews six contract bids—H, J, K, R, S, and T. No two bids have the same cost. Exactly one of the bids is accepted. The following conditions must hold: The accepted bid is either K or R and is either the second or the third lowest in cost. H is lower in cost than each of J and K. If J is the fourth lowest in cost, then J is lower in cost than each of S and T. If J is not the fourth lowest in cost, then J is higher in cost than each of S and T. Either R or S is the fifth lowest in cost.

Question: Which one of the following bids CANNOT be the fourth lowest in cost?
Options:
H
J
K
R
T
Correct option (0-indexed): 0
A panel reviews six contract bids—H, J, K, R, S, and T. No two bids have the same cost. Exactly one of the bids is accepted. The following conditions must hold: The accepted bid is either K or R and is either the second or the third lowest in cost. H is lower in cost than each of J and K. If J is the fourth lowest in cost, then J is lower in cost than each of S and T. If J is not the fourth lowest in cost, then J is higher in cost than each of S and T. Either R or S is the fifth lowest in cost.

Question: Which one of the following bids CANNOT be the second lowest in cost?
Options:
H
J
K
R
T
Correct option (0-indexed): 1
A panel reviews six contract bids—H, J, K, R, S, and T. No two bids have the same cost. Exactly one of the bids is accepted. The following conditions must hold: The accepted bid is either K or R and is either the second or the third lowest in cost. H is lower in cost than each of J and K. If J is the fourth lowest in cost, then J is lower in cost than each of S and T. If J is not the fourth lowest in cost, then J is higher in cost than each of S and T. Either R or S is the fifth lowest in cost.

Question: If R is the accepted bid, then which one of the following must be true?
Options:
T is the lowest in cost.
K is the second lowest in cost.
R is the third lowest in cost.
S is the fifth lowest in cost.
J is the highest in cost.
Correct option (0-indexed): 3
A panel reviews six contract bids—H, J, K, R, S, and T. No two bids have the same cost. Exactly one of the bids is accepted. The following conditions must hold: The accepted bid is either K or R and is either the second or the third lowest in cost. H is lower in cost than each of J and K. If J is the fourth lowest in cost, then J is lower in cost than each of S and T. If J is not the fourth lowest in cost, then J is higher in cost than each of S and T. Either R or S is the fifth lowest in cost.

Question: Which one of the following must be true?
Options:
H is lower in cost than S.
H is lower in cost than T.
K is lower in cost than J.
S is lower in cost than J.
S is lower in cost than K.
Correct option (0-indexed): 2
A panel reviews six contract bids—H, J, K, R, S, and T. No two bids have the same cost. Exactly one of the bids is accepted. The following conditions must hold: The accepted bid is either K or R and is either the second or the third lowest in cost. H is lower in cost than each of J and K. If J is the fourth lowest in cost, then J is lower in cost than each of S and T. If J is not the fourth lowest in cost, then J is higher in cost than each of S and T. Either R or S is the fifth lowest in cost.

Question: If R is the lowest in cost, then which one of the following could be false?
Options:
J is the highest in cost.
S is the fifth lowest in cost.
K is the third lowest in cost.
H is the second lowest in cost.
K is the accepted bid.
Correct option (0-indexed): 0
There are exactly six law students—Gambini, Little, Mitchum, Richardson, Saito, and Veracruz—in a trial advocacy class. The class is divided into three trial teams—team 1, team 2, and team 3—of exactly two students each. Each student is on exactly one of the teams. Each student prepares exactly one of either the opening argument or the final argument for his or her team. The teams must be formed according to the following specifications: Mitchum is on the same team as either Gambini or Veracruz. Little prepares an opening argument. Either Gambini or Richardson, but not both, prepares a final argument.

Question: Which one of the following could be the composition of each team and the argument each student prepares?
Options:
team 1: Little, opening; Gambini, final team 2: Veracruz, opening; Mitchum, final team 3: Saito, opening; Richardson, final
team 1: Mitchum, opening; Gambini, final team 2: Veracruz, opening; Little, final team 3: Richardson, opening; Saito, final
team 1: Richardson, opening; Gambini, final team 2: Mitchum, opening; Saito, final team 3: Little, opening; Veracruz, final
team 1: Gambini, opening; Mitchum, final team 2: Little, opening; Richardson, final team 3: Veracruz, opening; Saito, final
team 1: Gambini, opening; Mitchum, final team 2: Richardson, opening; Saito, final team 3: Little, opening; Veracruz, final
Correct option (0-indexed): 3
There are exactly six law students—Gambini, Little, Mitchum, Richardson, Saito, and Veracruz—in a trial advocacy class. The class is divided into three trial teams—team 1, team 2, and team 3—of exactly two students each. Each student is on exactly one of the teams. Each student prepares exactly one of either the opening argument or the final argument for his or her team. The teams must be formed according to the following specifications: Mitchum is on the same team as either Gambini or Veracruz. Little prepares an opening argument. Either Gambini or Richardson, but not both, prepares a final argument.

Question: If Gambini is on the same team as Mitchum, and if Gambini prepares the final argument for that team, then which one of the following could be true?
Options:
Little is on the same team as Veracruz, who prepares the opening argument for the team.
Richardson is on the same team as Saito, who prepares the opening argument for the team.
Richardson is on the same team as Saito, who prepares the final argument for the team.
Saito is on the same team as Veracruz, who prepares the opening argument for the team.
Saito is on the same team as Veracruz, who prepares the final argument for the team.
Correct option (0-indexed): 2
There are exactly six law students—Gambini, Little, Mitchum, Richardson, Saito, and Veracruz—in a trial advocacy class. The class is divided into three trial teams—team 1, team 2, and team 3—of exactly two students each. Each student is on exactly one of the teams. Each student prepares exactly one of either the opening argument or the final argument for his or her team. The teams must be formed according to the following specifications: Mitchum is on the same team as either Gambini or Veracruz. Little prepares an opening argument. Either Gambini or Richardson, but not both, prepares a final argument.

Question: Which one of the following could be true?
Options:
Gambini, who prepares a final argument, is on the same team as Richardson.
Gambini, who prepares a final argument, is on the same team as Veracruz.
Gambini, who prepares an opening argument, is on the same team as Little.
Little, who prepares an opening argument, is on the same team as Mitchum.
Mitchum, who prepares an opening argument, is on the same team as Saito.
Correct option (0-indexed): 0
There are exactly six law students—Gambini, Little, Mitchum, Richardson, Saito, and Veracruz—in a trial advocacy class. The class is divided into three trial teams—team 1, team 2, and team 3—of exactly two students each. Each student is on exactly one of the teams. Each student prepares exactly one of either the opening argument or the final argument for his or her team. The teams must be formed according to the following specifications: Mitchum is on the same team as either Gambini or Veracruz. Little prepares an opening argument. Either Gambini or Richardson, but not both, prepares a final argument.

Question: If Richardson is on the same team as Veracruz, then for exactly how many of the students can it be determined which of the arguments he or she prepares?
Options:
one
two
three
four
five
Correct option (0-indexed): 1
There are exactly six law students—Gambini, Little, Mitchum, Richardson, Saito, and Veracruz—in a trial advocacy class. The class is divided into three trial teams—team 1, team 2, and team 3—of exactly two students each. Each student is on exactly one of the teams. Each student prepares exactly one of either the opening argument or the final argument for his or her team. The teams must be formed according to the following specifications: Mitchum is on the same team as either Gambini or Veracruz. Little prepares an opening argument. Either Gambini or Richardson, but not both, prepares a final argument.

Question: If Little is on the same team as Richardson, then which one of the following must be true?
Options:
Saito is on the same team as Veracruz.
Gambini is on the same team as Mitchum.
Mitchum prepares a final argument.
Veracruz prepares a final argument.
Gambini prepares an opening argument.
Correct option (0-indexed): 4
There are exactly six law students—Gambini, Little, Mitchum, Richardson, Saito, and Veracruz—in a trial advocacy class. The class is divided into three trial teams—team 1, team 2, and team 3—of exactly two students each. Each student is on exactly one of the teams. Each student prepares exactly one of either the opening argument or the final argument for his or her team. The teams must be formed according to the following specifications: Mitchum is on the same team as either Gambini or Veracruz. Little prepares an opening argument. Either Gambini or Richardson, but not both, prepares a final argument.

Question: If Saito prepares an opening argument, then which one of the following pairs of students could be on the same team as each other?
Options:
Gambini and Little
Gambini and Saito
Little and Veracruz
Mitchum and Veracruz
Richardson and Veracruz
Correct option (0-indexed): 2
While on vacation, Sukanya receives several e-mail messages from work, each message from one of three associates: Hilary, Jerome, and Lula. Sukanya receives at least one and no more than two messages from each of them. Sukanya receives each message on the day it is sent. No more than one message is sent each day. The messages are received in a manner consistent with the following: The first message is not from Lula. Both the first and last messages are from the same person. Exactly once Sukanya receives a message from Jerome on the day after receiving one from Hilary. Of the first three messages, exactly one is from Jerome.

Question: Which one of the following could be an accurate list of the e-mail messages Sukanya receives, identified by the person each message is from and listed in the order she receives them?
Options:
Lula, Hilary, Jerome, Hilary, Jerome, Lula
Jerome, Lula, Hilary, Lula, Jerome
Jerome, Lula, Hilary, Jerome, Hilary
Jerome, Lula, Hilary, Hilary, Jerome
Hilary, Lula, Lula, Jerome, Jerome, Hilary
Correct option (0-indexed): 3
While on vacation, Sukanya receives several e-mail messages from work, each message from one of three associates: Hilary, Jerome, and Lula. Sukanya receives at least one and no more than two messages from each of them. Sukanya receives each message on the day it is sent. No more than one message is sent each day. The messages are received in a manner consistent with the following: The first message is not from Lula. Both the first and last messages are from the same person. Exactly once Sukanya receives a message from Jerome on the day after receiving one from Hilary. Of the first three messages, exactly one is from Jerome.

Question: What is the maximum possible number of e-mail messages Sukanya receives after Jerome's first message but before Hilary's first message?
Options:
zero
one
two
three
four
Correct option (0-indexed): 2
While on vacation, Sukanya receives several e-mail messages from work, each message from one of three associates: Hilary, Jerome, and Lula. Sukanya receives at least one and no more than two messages from each of them. Sukanya receives each message on the day it is sent. No more than one message is sent each day. The messages are received in a manner consistent with the following: The first message is not from Lula. Both the first and last messages are from the same person. Exactly once Sukanya receives a message from Jerome on the day after receiving one from Hilary. Of the first three messages, exactly one is from Jerome.

Question: If Sukanya receives exactly four e-mail messages, then which one of the following must be true?
Options:
Exactly one of the messages is from Lula.
Exactly two of the messages are from Jerome.
The second message is from Lula.
The third message is from Hilary.
The fourth message is from Jerome.
Correct option (0-indexed): 0
While on vacation, Sukanya receives several e-mail messages from work, each message from one of three associates: Hilary, Jerome, and Lula. Sukanya receives at least one and no more than two messages from each of them. Sukanya receives each message on the day it is sent. No more than one message is sent each day. The messages are received in a manner consistent with the following: The first message is not from Lula. Both the first and last messages are from the same person. Exactly once Sukanya receives a message from Jerome on the day after receiving one from Hilary. Of the first three messages, exactly one is from Jerome.

Question: Which one of the following e-mail messages CANNOT be from Lula?
Options:
the second message
the third message
the fourth message
the fifth message (if there is a fifth one)
the sixth message (if there is a sixth one)
Correct option (0-indexed): 4
While on vacation, Sukanya receives several e-mail messages from work, each message from one of three associates: Hilary, Jerome, and Lula. Sukanya receives at least one and no more than two messages from each of them. Sukanya receives each message on the day it is sent. No more than one message is sent each day. The messages are received in a manner consistent with the following: The first message is not from Lula. Both the first and last messages are from the same person. Exactly once Sukanya receives a message from Jerome on the day after receiving one from Hilary. Of the first three messages, exactly one is from Jerome.

Question: If Sukanya receives six e-mail messages, the fifth of which is from Lula, which one of the following must be true?
Options:
The first message is from Jerome.
The second message is from Lula.
The third message is from Hilary.
The fourth message is from Jerome.
The sixth message is from Lula.
Correct option (0-indexed): 3
While on vacation, Sukanya receives several e-mail messages from work, each message from one of three associates: Hilary, Jerome, and Lula. Sukanya receives at least one and no more than two messages from each of them. Sukanya receives each message on the day it is sent. No more than one message is sent each day. The messages are received in a manner consistent with the following: The first message is not from Lula. Both the first and last messages are from the same person. Exactly once Sukanya receives a message from Jerome on the day after receiving one from Hilary. Of the first three messages, exactly one is from Jerome.

Question: If Sukanya receives two e-mail messages from Lula, what is the maximum possible number of e-mail messages Sukanya receives after Lula's first message but before Lula's last message?
Options:
zero
one
two
three
four
Correct option (0-indexed): 1
Mercotek carried out a study to compare the productivity of its night shift with that of its day shift. Every week the company's six crews—F, G, H, R, S, and T—were ranked from first (most productive) to sixth (least productive). There were no ties. For any given week, either G and T were the two night-shift crews or else S and H were—the four other crews were the day-shift crews for that week. The following relationships held for every week of the study: F is more productive than G. R is more productive than S. R is more productive than T. S is more productive than H. G is more productive than T.

Question: Which one of the following could be an accurate ranking of all the crews, in order from first to sixth, for a given week of the study?
Options:
F, G, T, R, S, H
F, R, G, T, H, S
G, R, T, S, H, F
R, F, G, S, H, T
R, S, H, T, F, G
Correct option (0-indexed): 3
Mercotek carried out a study to compare the productivity of its night shift with that of its day shift. Every week the company's six crews—F, G, H, R, S, and T—were ranked from first (most productive) to sixth (least productive). There were no ties. For any given week, either G and T were the two night-shift crews or else S and H were—the four other crews were the day-shift crews for that week. The following relationships held for every week of the study: F is more productive than G. R is more productive than S. R is more productive than T. S is more productive than H. G is more productive than T.

Question: If F is ranked third for a given week of the study, then which one of the following could also be true of that week?
Options:
G ranks second.
H ranks fourth.
R ranks second.
S ranks fourth.
T ranks fourth.
Correct option (0-indexed): 1
Mercotek carried out a study to compare the productivity of its night shift with that of its day shift. Every week the company's six crews—F, G, H, R, S, and T—were ranked from first (most productive) to sixth (least productive). There were no ties. For any given week, either G and T were the two night-shift crews or else S and H were—the four other crews were the day-shift crews for that week. The following relationships held for every week of the study: F is more productive than G. R is more productive than S. R is more productive than T. S is more productive than H. G is more productive than T.

Question: Which one of the following CANNOT be the crew ranked fifth for any given week of the study?
Options:
G
H
R
S
T
Correct option (0-indexed): 2
Mercotek carried out a study to compare the productivity of its night shift with that of its day shift. Every week the company's six crews—F, G, H, R, S, and T—were ranked from first (most productive) to sixth (least productive). There were no ties. For any given week, either G and T were the two night-shift crews or else S and H were—the four other crews were the day-shift crews for that week. The following relationships held for every week of the study: F is more productive than G. R is more productive than S. R is more productive than T. S is more productive than H. G is more productive than T.

Question: For any given week of the study, the ranking of all the crews is completely determined if which one of the following is true?
Options:
F ranks second that week.
G ranks fifth that week.
H ranks third that week.
R ranks third that week.
S ranks third that week.
Correct option (0-indexed): 2
Mercotek carried out a study to compare the productivity of its night shift with that of its day shift. Every week the company's six crews—F, G, H, R, S, and T—were ranked from first (most productive) to sixth (least productive). There were no ties. For any given week, either G and T were the two night-shift crews or else S and H were—the four other crews were the day-shift crews for that week. The following relationships held for every week of the study: F is more productive than G. R is more productive than S. R is more productive than T. S is more productive than H. G is more productive than T.

Question: If the night-shift crews rank fifth and sixth for a given week of the study, then which one of the following could also be true of that week?
Options:
G ranks fourth.
H ranks fifth.
R ranks third.
S ranks fourth.
T ranks fifth.
Correct option (0-indexed): 2
Mercotek carried out a study to compare the productivity of its night shift with that of its day shift. Every week the company's six crews—F, G, H, R, S, and T—were ranked from first (most productive) to sixth (least productive). There were no ties. For any given week, either G and T were the two night-shift crews or else S and H were—the four other crews were the day-shift crews for that week. The following relationships held for every week of the study: F is more productive than G. R is more productive than S. R is more productive than T. S is more productive than H. G is more productive than T.

Question: Which one of the following is a complete and accurate list of the crews that CANNOT be ranked third for any given week of the study?
Options:
G, H, S
R, T
F, T
G, T
T
Correct option (0-indexed): 4
A shuttle van stops exactly four times—once at Fundy, once at Los Altos, once at Mineola, and once at Simcoe—not necessarily in that order. The van starts with exactly four passengers on board—Greg, Jasmine, Rosa, and Vijay—each of whom gets off at a different stop. The following conditions hold: Los Altos is the first or second stop. Rosa is still on board when the van reaches Mineola. Jasmine is on board longer than Vijay. If Jasmine is still on board when the van reaches Fundy, then Greg is still on board when the van reaches Simcoe; otherwise, Greg is not still on board when the van reaches Simcoe.

Question: Which one of the following could be a complete and accurate matching of stops, listed in the order in which the van stops at them, to the passengers who get off at them?
Options:
Los Altos: Greg Mineola: Vijay Fundy: Jasmine Simcoe: Rosa
Simcoe: Vijay Mineola: Greg Fundy: Rosa Los Altos: Jasmine
Los Altos: Jasmine Mineola: Vijay Fundy: Greg Simcoe: Rosa
Los Altos: Rosa Mineola: Vijay Fundy: Jasmine Simcoe: Greg
Los Altos: Vijay Fundy: Jasmine Mineola: Rosa Simcoe: Greg
Correct option (0-indexed): 4
A shuttle van stops exactly four times—once at Fundy, once at Los Altos, once at Mineola, and once at Simcoe—not necessarily in that order. The van starts with exactly four passengers on board—Greg, Jasmine, Rosa, and Vijay—each of whom gets off at a different stop. The following conditions hold: Los Altos is the first or second stop. Rosa is still on board when the van reaches Mineola. Jasmine is on board longer than Vijay. If Jasmine is still on board when the van reaches Fundy, then Greg is still on board when the van reaches Simcoe; otherwise, Greg is not still on board when the van reaches Simcoe.

Question: If Mineola is the first stop, which one of the following is a complete and accurate list of the passengers who could possibly get off there?
Options:
Rosa
Greg, Rosa
Greg, Vijay
Greg, Rosa, Vijay
Jasmine, Rosa, Vijay
Correct option (0-indexed): 3
A shuttle van stops exactly four times—once at Fundy, once at Los Altos, once at Mineola, and once at Simcoe—not necessarily in that order. The van starts with exactly four passengers on board—Greg, Jasmine, Rosa, and Vijay—each of whom gets off at a different stop. The following conditions hold: Los Altos is the first or second stop. Rosa is still on board when the van reaches Mineola. Jasmine is on board longer than Vijay. If Jasmine is still on board when the van reaches Fundy, then Greg is still on board when the van reaches Simcoe; otherwise, Greg is not still on board when the van reaches Simcoe.

Question: If Fundy is the first stop, then which one of the following could accurately list the passengers in order from first to last off?
Options:
Greg, Vijay, Jasmine, Rosa
Rosa, Vijay, Greg, Jasmine
Vijay, Greg, Rosa, Jasmine
Vijay, Jasmine, Greg, Rosa
Vijay, Rosa, Jasmine, Greg
Correct option (0-indexed): 3
A shuttle van stops exactly four times—once at Fundy, once at Los Altos, once at Mineola, and once at Simcoe—not necessarily in that order. The van starts with exactly four passengers on board—Greg, Jasmine, Rosa, and Vijay—each of whom gets off at a different stop. The following conditions hold: Los Altos is the first or second stop. Rosa is still on board when the van reaches Mineola. Jasmine is on board longer than Vijay. If Jasmine is still on board when the van reaches Fundy, then Greg is still on board when the van reaches Simcoe; otherwise, Greg is not still on board when the van reaches Simcoe.

Question: Which one of the following must be true if Greg is still on board both when the van reaches Los Altos and when it reaches Simcoe, not necessarily in that order, assuming he is the second one off the van?
Options:
Vijay is on board when the van reaches Simcoe.
Vijay is on board when the van reaches Los Altos.
Rosa is on board when the van reaches Simcoe.
Rosa is on board when the van reaches Fundy.
Jasmine is on board when the van reaches Mineola.
Correct option (0-indexed): 2
A shuttle van stops exactly four times—once at Fundy, once at Los Altos, once at Mineola, and once at Simcoe—not necessarily in that order. The van starts with exactly four passengers on board—Greg, Jasmine, Rosa, and Vijay—each of whom gets off at a different stop. The following conditions hold: Los Altos is the first or second stop. Rosa is still on board when the van reaches Mineola. Jasmine is on board longer than Vijay. If Jasmine is still on board when the van reaches Fundy, then Greg is still on board when the van reaches Simcoe; otherwise, Greg is not still on board when the van reaches Simcoe.

Question: If Greg is not on board when the van reaches Simcoe, then which one of the following must be false?
Options:
Greg is on board when the van reaches Fundy.
Jasmine is on board when the van reaches Mineola.
Rosa is on board when the van reaches Fundy.
Vijay is on board when the van reaches Fundy.
Vijay is on board when the van reaches Mineola.
Correct option (0-indexed): 3
Individual hour-long auditions will be scheduled for each of six saxophonists—Fujimura, Gabrieli, Herman, Jackson, King, and Lauder. The auditions will all take place on the same day. Each audition will begin on the hour, with the first beginning at 1 P.M. and the last at 6 P.M. The schedule of auditions must conform to the following conditions: Jackson auditions earlier than Herman does. Gabrieli auditions earlier than King does. Gabrieli auditions either immediately before or immediately after Lauder does. Exactly one audition separates the auditions of Jackson and Lauder.

Question: Which one of the following is an acceptable schedule for the auditions, listed in order from 1 P.M. through 6 P.M.?
Options:
Fujimura, Gabrieli, King, Jackson, Herman, Lauder
Fujimura, King, Lauder, Gabrieli, Jackson, Herman
Fujimura, Lauder, Gabrieli, King, Jackson, Herman
Herman, Jackson, Gabrieli, Lauder, King, Fujimura
Jackson, Gabrieli, Lauder, Herman, King, Fujimura
Correct option (0-indexed): 4
Individual hour-long auditions will be scheduled for each of six saxophonists—Fujimura, Gabrieli, Herman, Jackson, King, and Lauder. The auditions will all take place on the same day. Each audition will begin on the hour, with the first beginning at 1 P.M. and the last at 6 P.M. The schedule of auditions must conform to the following conditions: Jackson auditions earlier than Herman does. Gabrieli auditions earlier than King does. Gabrieli auditions either immediately before or immediately after Lauder does. Exactly one audition separates the auditions of Jackson and Lauder.

Question: Which one of the following must be true?
Options:
Lauder is scheduled to audition earlier than Herman.
Lauder is scheduled to audition earlier than King.
Jackson's audition is scheduled to begin at either 1 P.M. or 5 P.M.
Fujimura and Jackson are not scheduled to audition in consecutive hours.
Gabrieli and King are not scheduled to audition in consecutive hours.
Correct option (0-indexed): 1
Individual hour-long auditions will be scheduled for each of six saxophonists—Fujimura, Gabrieli, Herman, Jackson, King, and Lauder. The auditions will all take place on the same day. Each audition will begin on the hour, with the first beginning at 1 P.M. and the last at 6 P.M. The schedule of auditions must conform to the following conditions: Jackson auditions earlier than Herman does. Gabrieli auditions earlier than King does. Gabrieli auditions either immediately before or immediately after Lauder does. Exactly one audition separates the auditions of Jackson and Lauder.

Question: The earliest King's audition could be scheduled to begin is
Options:
5 P.M.
4 P.M.
3 P.M.
2 P.M.
1 P.M.
Correct option (0-indexed): 2
Individual hour-long auditions will be scheduled for each of six saxophonists—Fujimura, Gabrieli, Herman, Jackson, King, and Lauder. The auditions will all take place on the same day. Each audition will begin on the hour, with the first beginning at 1 P.M. and the last at 6 P.M. The schedule of auditions must conform to the following conditions: Jackson auditions earlier than Herman does. Gabrieli auditions earlier than King does. Gabrieli auditions either immediately before or immediately after Lauder does. Exactly one audition separates the auditions of Jackson and Lauder.

Question: The order in which the saxophonists are scheduled to audition is completely determined if which one of the following is true?
Options:
Herman's audition is scheduled to begin at 4 P.M.
Jackson's audition is scheduled to begin at 1 P.M.
Jackson's audition is scheduled to begin at 5 P.M.
Lauder's audition is scheduled to begin at 1 P.M.
Lauder's audition is scheduled to begin at 2 P.M.
Correct option (0-indexed): 2
Individual hour-long auditions will be scheduled for each of six saxophonists—Fujimura, Gabrieli, Herman, Jackson, King, and Lauder. The auditions will all take place on the same day. Each audition will begin on the hour, with the first beginning at 1 P.M. and the last at 6 P.M. The schedule of auditions must conform to the following conditions: Jackson auditions earlier than Herman does. Gabrieli auditions earlier than King does. Gabrieli auditions either immediately before or immediately after Lauder does. Exactly one audition separates the auditions of Jackson and Lauder.

Question: If Fujimura's audition is not scheduled to begin at 1 P.M., which one of the following could be true?
Options:
Herman's audition is scheduled to begin at 6 P.M.
Gabrieli's audition is scheduled to begin at 5 P.M.
Herman's audition is scheduled to begin at 3 P.M.
Jackson's audition is scheduled to begin at 2 P.M.
Jackson's audition is scheduled to begin at 5 P.M.
Correct option (0-indexed): 0
Individual hour-long auditions will be scheduled for each of six saxophonists—Fujimura, Gabrieli, Herman, Jackson, King, and Lauder. The auditions will all take place on the same day. Each audition will begin on the hour, with the first beginning at 1 P.M. and the last at 6 P.M. The schedule of auditions must conform to the following conditions: Jackson auditions earlier than Herman does. Gabrieli auditions earlier than King does. Gabrieli auditions either immediately before or immediately after Lauder does. Exactly one audition separates the auditions of Jackson and Lauder.

Question: Which one of the following must be true?
Options:
Gabrieli's audition is scheduled to begin before 5 P.M.
Herman's audition is scheduled to begin after 2 P.M.
Herman's audition is scheduled to begin before 6 P.M.
King's audition is scheduled to begin before 6 P.M.
Lauder's audition is scheduled to begin before 5 P.M.
Correct option (0-indexed): 4
Four people—Grace, Heather, Josh, and Maria—will help each other move exactly three pieces of furniture—a recliner, a sofa, and a table. Each piece of furniture will be moved by exactly two of the people, and each person will help move at least one of the pieces of furniture, subject to the following constraints: Grace helps move the sofa if, but only if, Heather helps move the recliner. If Josh helps move the table, then Maria helps move the recliner. No piece of furniture is moved by Grace and Josh together.

Question: Which one of the following could be an accurate matching of each piece of furniture to the two people who help each other move it?
Options:
recliner: Grace and Maria; sofa: Heather and Josh; table: Grace and Heather
recliner: Grace and Maria; sofa: Heather and Maria; table: Grace and Josh
recliner: Heather and Josh; sofa: Grace and Heather; table: Josh and Maria
recliner: Heather and Josh; sofa: Heather and Maria; table: Grace and Maria
recliner: Josh and Maria; sofa: Grace and Heather; table: Grace and Maria
Correct option (0-indexed): 0
Four people—Grace, Heather, Josh, and Maria—will help each other move exactly three pieces of furniture—a recliner, a sofa, and a table. Each piece of furniture will be moved by exactly two of the people, and each person will help move at least one of the pieces of furniture, subject to the following constraints: Grace helps move the sofa if, but only if, Heather helps move the recliner. If Josh helps move the table, then Maria helps move the recliner. No piece of furniture is moved by Grace and Josh together.

Question: If Josh and Maria help each other move the recliner, then which one of the following must be true?
Options:
Heather helps move the sofa.
Josh helps move the sofa.
Maria helps move the sofa.
Grace helps move the table.
Heather helps move the table.
Correct option (0-indexed): 3
Four people—Grace, Heather, Josh, and Maria—will help each other move exactly three pieces of furniture—a recliner, a sofa, and a table. Each piece of furniture will be moved by exactly two of the people, and each person will help move at least one of the pieces of furniture, subject to the following constraints: Grace helps move the sofa if, but only if, Heather helps move the recliner. If Josh helps move the table, then Maria helps move the recliner. No piece of furniture is moved by Grace and Josh together.

Question: If Heather helps move each of the pieces of furniture, then which one of the following could be true?
Options:
Grace helps move the recliner.
Maria helps move the recliner.
Josh helps move the sofa.
Maria helps move the sofa.
Grace helps move the table.
Correct option (0-indexed): 1
Four people—Grace, Heather, Josh, and Maria—will help each other move exactly three pieces of furniture—a recliner, a sofa, and a table. Each piece of furniture will be moved by exactly two of the people, and each person will help move at least one of the pieces of furniture, subject to the following constraints: Grace helps move the sofa if, but only if, Heather helps move the recliner. If Josh helps move the table, then Maria helps move the recliner. No piece of furniture is moved by Grace and Josh together.

Question: Which one of the following could be a pair of people who help each other move both the recliner and the table?
Options:
Grace and Josh
Grace and Maria
Heather and Josh
Heather and Maria
Josh and Maria
Correct option (0-indexed): 1
Four people—Grace, Heather, Josh, and Maria—will help each other move exactly three pieces of furniture—a recliner, a sofa, and a table. Each piece of furniture will be moved by exactly two of the people, and each person will help move at least one of the pieces of furniture, subject to the following constraints: Grace helps move the sofa if, but only if, Heather helps move the recliner. If Josh helps move the table, then Maria helps move the recliner. No piece of furniture is moved by Grace and Josh together.

Question: If Josh and Maria help each other move the sofa, then which one of the following could be true?
Options:
Heather and Josh help each other move the recliner.
Heather and Maria help each other move the recliner.
Grace and Josh help each other move the table.
Grace and Maria help each other move the table.
Heather and Maria help each other move the table.
Correct option (0-indexed): 4
A town has exactly two public parks—Graystone Park and Landing Park—which are to be planted with North American trees. There are exactly four varieties of trees available—maples, oaks, sycamores, and tamaracks. The planting of the trees must be in accord with the following: Each of the parks is planted with exactly three of the varieties. At least one of the parks is planted with both maples and sycamores. Any park that is planted with oaks will also be planted with tamaracks. Graystone Park is planted with maples.

Question: Which one of the following could be a complete and accurate list of the varieties of trees planted in each of the parks?
Options:
Graystone Park: maples, oaks, sycamores Landing Park: maples, oaks, sycamores
Graystone Park: maples, oaks, tamaracks Landing Park: maples, oaks, tamaracks
Graystone Park: maples, sycamores, tamaracks Landing Park: maples, oaks, sycamores
Graystone Park: maples, sycamores, tamaracks Landing Park: maples, oaks, tamaracks
Graystone Park: oaks, sycamores, tamaracks Landing Park: maples, sycamores, tamaracks
Correct option (0-indexed): 3
A town has exactly two public parks—Graystone Park and Landing Park—which are to be planted with North American trees. There are exactly four varieties of trees available—maples, oaks, sycamores, and tamaracks. The planting of the trees must be in accord with the following: Each of the parks is planted with exactly three of the varieties. At least one of the parks is planted with both maples and sycamores. Any park that is planted with oaks will also be planted with tamaracks. Graystone Park is planted with maples.

Question: Which one of the following must be true?
Options:
Graystone Park is planted with sycamores.
Landing Park is planted with maples.
Landing Park is planted with tamaracks.
The number of the parks planted with maples is equal to the number of the parks planted with sycamores.
The number of the parks planted with maples is greater than the number of the parks planted with sycamores.
Correct option (0-indexed): 2
A town has exactly two public parks—Graystone Park and Landing Park—which are to be planted with North American trees. There are exactly four varieties of trees available—maples, oaks, sycamores, and tamaracks. The planting of the trees must be in accord with the following: Each of the parks is planted with exactly three of the varieties. At least one of the parks is planted with both maples and sycamores. Any park that is planted with oaks will also be planted with tamaracks. Graystone Park is planted with maples.

Question: If both parks are planted with sycamores, which one of the following could be true?
Options:
The number of the parks planted with maples is equal to the number of the parks planted with oaks.
The number of the parks planted with maples is greater than the number of the parks planted with sycamores.
The number of the parks planted with oaks is equal to the number of the parks planted with sycamores.
Graystone Park is planted with both maples and oaks.
Landing Park is planted with both maples and oaks.
Correct option (0-indexed): 0
A town has exactly two public parks—Graystone Park and Landing Park—which are to be planted with North American trees. There are exactly four varieties of trees available—maples, oaks, sycamores, and tamaracks. The planting of the trees must be in accord with the following: Each of the parks is planted with exactly three of the varieties. At least one of the parks is planted with both maples and sycamores. Any park that is planted with oaks will also be planted with tamaracks. Graystone Park is planted with maples.

Question: Which one of the following must be false?
Options:
Both parks are planted with oaks.
Both parks are planted with sycamores.
Both parks are planted with tamaracks.
Exactly one of the parks is planted with maples.
Exactly one of the parks is planted with sycamores.
Correct option (0-indexed): 0
A town has exactly two public parks—Graystone Park and Landing Park—which are to be planted with North American trees. There are exactly four varieties of trees available—maples, oaks, sycamores, and tamaracks. The planting of the trees must be in accord with the following: Each of the parks is planted with exactly three of the varieties. At least one of the parks is planted with both maples and sycamores. Any park that is planted with oaks will also be planted with tamaracks. Graystone Park is planted with maples.

Question: Which one of the following could be true?
Options:
The number of the parks planted with oaks is equal to the number of the parks planted with tamaracks.
The number of the parks planted with oaks is greater than the number of the parks planted with sycamores.
Exactly one of the parks is planted with tamaracks.
Neither park is planted with tamaracks.
Both parks contain exactly the same three varieties of trees as each other.
Correct option (0-indexed): 4
Five executives—Quinn, Rodriguez, Sasada, Taylor, and Vandercar—are being scheduled to make site visits to three of their company's manufacturing plants—Farmington, Homestead, and Morningside. Each site will be visited by at least one of the executives and each executive will visit just one site. Each of the three site visits will take place on a different day. The schedule of site visits must conform to the following requirements: The Farmington visit must take place before the Homestead visit. The Farmington visit will include only one of the executives. The site visit that includes Quinn must take place before any site visit that includes either Rodriguez or Taylor. The site visit that includes Sasada cannot take place after any site visit that includes Vandercar.

Question: Which one of the following could be the executives included in each of the site visits, with the sites listed in the order in which they are visited?
Options:
Farmington: Quinn Homestead: Rodriguez, Sasada Morningside: Taylor, Vandercar
Farmington: Quinn Homestead: Rodriguez, Vandercar Morningside: Sasada, Taylor
Farmington: Rodriguez Morningside: Quinn, Taylor Homestead: Sasada, Vandercar
Homestead: Sasada Farmington: Quinn Morningside: Rodriguez, Taylor, Vandercar
Morningside: Quinn Farmington: Rodriguez, Sasada Homestead: Taylor, Vandercar
Correct option (0-indexed): 0
Five executives—Quinn, Rodriguez, Sasada, Taylor, and Vandercar—are being scheduled to make site visits to three of their company's manufacturing plants—Farmington, Homestead, and Morningside. Each site will be visited by at least one of the executives and each executive will visit just one site. Each of the three site visits will take place on a different day. The schedule of site visits must conform to the following requirements: The Farmington visit must take place before the Homestead visit. The Farmington visit will include only one of the executives. The site visit that includes Quinn must take place before any site visit that includes either Rodriguez or Taylor. The site visit that includes Sasada cannot take place after any site visit that includes Vandercar.

Question: If the second of the three site visits includes both Rodriguez and Taylor, which one of the following must be true?
Options:
The Farmington visit includes Quinn.
The Homestead visit includes Vandercar.
The Morningside visit includes Sasada.
The second of the three site visits includes Sasada.
The second of the three site visits includes exactly three of the executives.
Correct option (0-indexed): 0
Five executives—Quinn, Rodriguez, Sasada, Taylor, and Vandercar—are being scheduled to make site visits to three of their company's manufacturing plants—Farmington, Homestead, and Morningside. Each site will be visited by at least one of the executives and each executive will visit just one site. Each of the three site visits will take place on a different day. The schedule of site visits must conform to the following requirements: The Farmington visit must take place before the Homestead visit. The Farmington visit will include only one of the executives. The site visit that includes Quinn must take place before any site visit that includes either Rodriguez or Taylor. The site visit that includes Sasada cannot take place after any site visit that includes Vandercar.

Question: If one of the site visits includes both Quinn and Sasada, which one of the following could be true?
Options:
The Farmington visit is the first of the three site visits.
The Homestead visit is the second of the three site visits.
One of the site visits includes only Vandercar.
The second of the three site visits includes Sasada.
The second of the three site visits includes exactly two of the executives.
Correct option (0-indexed): 2