benlipkin/arlsat huggingface dataset:
The seven members of an academic department are each to be assigned a different room as an office. The department members are professors F and G, lecturers Q, R, and S, and instructors V and W. The available rooms are seven consecutive rooms along one side of a straight hallway numbered sequentially 101 through 107. The assignment must conform to the following conditions: Neither instructor is assigned a room next to a professor's room. Neither professor is assigned room 101 and neither professor is assigned room 107. G is not assigned a room next to R's room. W is not assigned a room next to V's room unless R is also assigned a room next to V's room.

Question: Which one of the following CANNOT be assigned room 104?
Options:
F
G
Q
S
V
Correct option (0-indexed): 4
The seven members of an academic department are each to be assigned a different room as an office. The department members are professors F and G, lecturers Q, R, and S, and instructors V and W. The available rooms are seven consecutive rooms along one side of a straight hallway numbered sequentially 101 through 107. The assignment must conform to the following conditions: Neither instructor is assigned a room next to a professor's room. Neither professor is assigned room 101 and neither professor is assigned room 107. G is not assigned a room next to R's room. W is not assigned a room next to V's room unless R is also assigned a room next to V's room.

Question: If no two faculty members of the same rank are assigned adjacent rooms, which one of the following must be true?
Options:
F is assigned either room 103 or else room 104.
Q is assigned either room 102 or else room 106.
R is assigned either room 102 or else room 105.
S is assigned either room 104 or else room 105.
V is assigned either room 101 or else room 107.
Correct option (0-indexed): 4
The seven members of an academic department are each to be assigned a different room as an office. The department members are professors F and G, lecturers Q, R, and S, and instructors V and W. The available rooms are seven consecutive rooms along one side of a straight hallway numbered sequentially 101 through 107. The assignment must conform to the following conditions: Neither instructor is assigned a room next to a professor's room. Neither professor is assigned room 101 and neither professor is assigned room 107. G is not assigned a room next to R's room. W is not assigned a room next to V's room unless R is also assigned a room next to V's room.

Question: If F and G are not assigned rooms that are next to each other, which one of the following CANNOT be assigned room 107?
Options:
W
V
S
R
Q
Correct option (0-indexed): 3
The coordinator of an exhibition will select at least four and at most six rugs from a group of eight rugs made up of two oval wool rugs, three rectangular wool rugs, one oval silk rug, and two rectangular silk rugs according to the following conditions: At least two oval rugs must be selected. The number of wool rugs selected can be neither less than two nor more than three. If the oval silk rug is selected, at least one rectangular silk rug must be selected.

Question: Which one of the following is an acceptable selection of rugs for the exhibition?
Options:
one oval silk rug, one oval wool rug, and two rectangular wool rugs
one oval silk rug, one rectangular wool rug, and two rectangular silk rugs
two oval wool rugs, one rectangular silk rug, and two rectangular wool rugs
two oval wool rugs, one rectangular silk rug, and one rectangular wool rug
two rectangular silk rugs and three rectangular wool rugs
Correct option (0-indexed): 3
The coordinator of an exhibition will select at least four and at most six rugs from a group of eight rugs made up of two oval wool rugs, three rectangular wool rugs, one oval silk rug, and two rectangular silk rugs according to the following conditions: At least two oval rugs must be selected. The number of wool rugs selected can be neither less than two nor more than three. If the oval silk rug is selected, at least one rectangular silk rug must be selected.

Question: If three wool rugs are selected, then any of the following could be a complete and accurate list of the other rugs selected EXCEPT:
Options:
one oval silk rug
one rectangular silk rug
two rectangular silk rugs
one oval silk rug and one rectangular silk rug
one oval silk rug and two rectangular silk rugs
Correct option (0-indexed): 0
The coordinator of an exhibition will select at least four and at most six rugs from a group of eight rugs made up of two oval wool rugs, three rectangular wool rugs, one oval silk rug, and two rectangular silk rugs according to the following conditions: At least two oval rugs must be selected. The number of wool rugs selected can be neither less than two nor more than three. If the oval silk rug is selected, at least one rectangular silk rug must be selected.

Question: The rugs selected for the exhibition can include any of the following EXCEPT:
Options:
one oval silk rug
two oval wool rugs
three oval rugs
two rectangular wool rugs
three rectangular wool rugs
Correct option (0-indexed): 4
The coordinator of an exhibition will select at least four and at most six rugs from a group of eight rugs made up of two oval wool rugs, three rectangular wool rugs, one oval silk rug, and two rectangular silk rugs according to the following conditions: At least two oval rugs must be selected. The number of wool rugs selected can be neither less than two nor more than three. If the oval silk rug is selected, at least one rectangular silk rug must be selected.

Question: If only one silk rug is selected for the exhibition, then the other rugs selected must be a group made up of
Options:
one oval rug and two rectangular rugs
two oval rugs and one rectangular rug
two oval rugs and two rectangular rugs
two oval rugs and three rectangular rugs
three rectangular rugs
Correct option (0-indexed): 1
The coordinator of an exhibition will select at least four and at most six rugs from a group of eight rugs made up of two oval wool rugs, three rectangular wool rugs, one oval silk rug, and two rectangular silk rugs according to the following conditions: At least two oval rugs must be selected. The number of wool rugs selected can be neither less than two nor more than three. If the oval silk rug is selected, at least one rectangular silk rug must be selected.

Question: If exactly four rugs are selected, then the rugs selected could be
Options:
one oval rug and three rectangular wool rugs
two oval rugs and two rectangular wool rugs
three oval rugs and one rectangular silk rug
three oval rugs and one rectangular wool rug
two rectangular silk rugs and two rectangular wool rugs
Correct option (0-indexed): 2
The coordinator of an exhibition will select at least four and at most six rugs from a group of eight rugs made up of two oval wool rugs, three rectangular wool rugs, one oval silk rug, and two rectangular silk rugs according to the following conditions: At least two oval rugs must be selected. The number of wool rugs selected can be neither less than two nor more than three. If the oval silk rug is selected, at least one rectangular silk rug must be selected.

Question: If all three silk rugs are selected, then each of the following could be a complete and accurate list of the other rugs selected EXCEPT:
Options:
one oval wool rug
two oval wool rugs
one oval wool rug and one rectangular wool rug
one oval wool rug and two rectangular wool rugs
two oval wool rugs and one rectangular wool rug
Correct option (0-indexed): 0
The coordinator of an exhibition will select at least four and at most six rugs from a group of eight rugs made up of two oval wool rugs, three rectangular wool rugs, one oval silk rug, and two rectangular silk rugs according to the following conditions: At least two oval rugs must be selected. The number of wool rugs selected can be neither less than two nor more than three. If the oval silk rug is selected, at least one rectangular silk rug must be selected.

Question: If exactly six rugs are selected, they must include
Options:
exactly one of the oval rugs
the two oval wool rugs
the two rectangular silk rugs
exactly three of the rectangular rugs
all three rectangular wool rugs
Correct option (0-indexed): 2
During a period of six consecutive days—day 1 through day 6—each of exactly six factories—F, G, H, J, Q, and R—will be inspected. During this period, each of the factories will be inspected exactly once, one factory per day. The schedule for the inspections must conform to the following conditions: F is inspected on either day 1 or day 6. J is inspected on an earlier day than Q is inspected. Q is inspected on the day immediately before R is inspected. If G is inspected on day 3, Q is inspected on day 5.

Question: Which one of the following could be a list of the factories in the order of their scheduled inspections, from day 1 thought day 6?
Options:
F, Q, R, H, J, G
G, H, J, Q, R, F
G, J, Q, H, R, F
G, J, Q, R, F, H
J, H, G, Q, R, F
Correct option (0-indexed): 1
During a period of six consecutive days—day 1 through day 6—each of exactly six factories—F, G, H, J, Q, and R—will be inspected. During this period, each of the factories will be inspected exactly once, one factory per day. The schedule for the inspections must conform to the following conditions: F is inspected on either day 1 or day 6. J is inspected on an earlier day than Q is inspected. Q is inspected on the day immediately before R is inspected. If G is inspected on day 3, Q is inspected on day 5.

Question: Which one of the following must be false?
Options:
The inspection of G is scheduled for day 4.
The inspection of H is scheduled for day 6.
The inspection of J is scheduled for day 4.
The inspection of Q is scheduled for day 3.
The inspection of R is scheduled for day 2.
Correct option (0-indexed): 4
During a period of six consecutive days—day 1 through day 6—each of exactly six factories—F, G, H, J, Q, and R—will be inspected. During this period, each of the factories will be inspected exactly once, one factory per day. The schedule for the inspections must conform to the following conditions: F is inspected on either day 1 or day 6. J is inspected on an earlier day than Q is inspected. Q is inspected on the day immediately before R is inspected. If G is inspected on day 3, Q is inspected on day 5.

Question: The inspection of which one of the following CANNOT be scheduled for day 5 ?
Options:
G
H
J
Q
R
Correct option (0-indexed): 2
During a period of six consecutive days—day 1 through day 6—each of exactly six factories—F, G, H, J, Q, and R—will be inspected. During this period, each of the factories will be inspected exactly once, one factory per day. The schedule for the inspections must conform to the following conditions: F is inspected on either day 1 or day 6. J is inspected on an earlier day than Q is inspected. Q is inspected on the day immediately before R is inspected. If G is inspected on day 3, Q is inspected on day 5.

Question: The inspection scheduled for day 3 and day 5, respectively, could be those of
Options:
G and H
G and R
H and G
R and J
R and H
Correct option (0-indexed): 4
During a period of six consecutive days—day 1 through day 6—each of exactly six factories—F, G, H, J, Q, and R—will be inspected. During this period, each of the factories will be inspected exactly once, one factory per day. The schedule for the inspections must conform to the following conditions: F is inspected on either day 1 or day 6. J is inspected on an earlier day than Q is inspected. Q is inspected on the day immediately before R is inspected. If G is inspected on day 3, Q is inspected on day 5.

Question: If the inspection of R is scheduled for the day immediately before the inspection of F, which one of the following must be true about the schedule?
Options:
The inspection of either G or H is scheduled for day 1.
The inspection of either G or J is scheduled for day 1.
The inspection of either G or J is scheduled for day 2.
The inspection of either H or J is scheduled for day 3.
The inspection of either H or J is scheduled for day 4.
Correct option (0-indexed): 3
During a period of six consecutive days—day 1 through day 6—each of exactly six factories—F, G, H, J, Q, and R—will be inspected. During this period, each of the factories will be inspected exactly once, one factory per day. The schedule for the inspections must conform to the following conditions: F is inspected on either day 1 or day 6. J is inspected on an earlier day than Q is inspected. Q is inspected on the day immediately before R is inspected. If G is inspected on day 3, Q is inspected on day 5.

Question: If the inspection of G and of H are scheduled, not necessarily in that order, for days as far apart as possible, which one of the following is a complete and accurate list of the factories any one of which could be scheduled for inspection for day 1?
Options:
F, J
G, H
G, H, J
F, G, H
F, G, H, J
Correct option (0-indexed): 3
During a period of six consecutive days—day 1 through day 6—each of exactly six factories—F, G, H, J, Q, and R—will be inspected. During this period, each of the factories will be inspected exactly once, one factory per day. The schedule for the inspections must conform to the following conditions: F is inspected on either day 1 or day 6. J is inspected on an earlier day than Q is inspected. Q is inspected on the day immediately before R is inspected. If G is inspected on day 3, Q is inspected on day 5.

Question: If the inspection of G is scheduled for the day immediately before the inspection of Q, which one of the following could be true?
Options:
The inspection of G is scheduled for day 5.
The inspection of H is scheduled for day 6.
The inspection of J is scheduled for day 2.
The inspection of Q is scheduled for day 4.
The inspection of R is scheduled for day 3.
Correct option (0-indexed): 2
In a theater company, four two-day workshops—Lighting, Production, Rehearsals, and Staging—are conducted over the course of five days, Monday through Friday. The workshops are conducted in a manner consistent with the following constraints: The two days on which a given workshop is in session are consecutive. On each of the five days, at least one, but no more than two, of the workshops are in session. The workshops on Production and Rehearsals begin no earlier than the day immediately following the second day of the workshop on Lighting.

Question: Which one of the following could be true?
Options:
Only one workshop is in session on Thursday.
Only one workshop is in session on Friday.
The workshop on Rehearsals is in session on Tuesday.
The workshop on Staging is in session on Thursday.
The workshops in Rehearsals and Production are both in session on Wednesday.
Correct option (0-indexed): 1
In a theater company, four two-day workshops—Lighting, Production, Rehearsals, and Staging—are conducted over the course of five days, Monday through Friday. The workshops are conducted in a manner consistent with the following constraints: The two days on which a given workshop is in session are consecutive. On each of the five days, at least one, but no more than two, of the workshops are in session. The workshops on Production and Rehearsals begin no earlier than the day immediately following the second day of the workshop on Lighting.

Question: Which one of the following could be true?
Options:
The workshop on Lighting is in session on Wednesday, and the workshop on Rehearsals is in session on Tuesday.
The workshop on Lighting is in session on Wednesday, and the only workshop in session on Thursday is the workshop on Rehearsals.
The workshop on Lighting is in session on Wednesday, and the only workshop in session on Monday is the workshop on Staging.
The workshop on Lighting is in session on Monday, and the only workshop in session on Thursday is the workshop on Staging.
The workshops on Lighting and Production are both in session on Wednesday.
Correct option (0-indexed): 2
In a theater company, four two-day workshops—Lighting, Production, Rehearsals, and Staging—are conducted over the course of five days, Monday through Friday. The workshops are conducted in a manner consistent with the following constraints: The two days on which a given workshop is in session are consecutive. On each of the five days, at least one, but no more than two, of the workshops are in session. The workshops on Production and Rehearsals begin no earlier than the day immediately following the second day of the workshop on Lighting.

Question: If the workshop on Production is in session on Wednesday, which one of the following must be true?
Options:
The workshop on Lighting is in session on Monday.
The workshop on Rehearsals is in session on Wednesday.
The workshop on Staging is in session on Thursday .
The workshop on Staging is in session on Monday.
The workshop on Staging is in session on Wednesday.
Correct option (0-indexed): 0
In a theater company, four two-day workshops—Lighting, Production, Rehearsals, and Staging—are conducted over the course of five days, Monday through Friday. The workshops are conducted in a manner consistent with the following constraints: The two days on which a given workshop is in session are consecutive. On each of the five days, at least one, but no more than two, of the workshops are in session. The workshops on Production and Rehearsals begin no earlier than the day immediately following the second day of the workshop on Lighting.

Question: If the workshop on production is the only workshop in session on Friday, which one of the following must be false?
Options:
The workshop on Lighting is in session both on Tuesday and on Wednesday.
The workshop on Rehearsals is in session both on Wednesday and on Thursday.
The workshop on Staging is in session both on Monday and on Tuesday.
The workshop on Lighting is in session on the same two days as is the workshop on Staging.
The workshop on Rehearsals is in session on a day when the workshop on Staging is also in session.
Correct option (0-indexed): 0
In a theater company, four two-day workshops—Lighting, Production, Rehearsals, and Staging—are conducted over the course of five days, Monday through Friday. The workshops are conducted in a manner consistent with the following constraints: The two days on which a given workshop is in session are consecutive. On each of the five days, at least one, but no more than two, of the workshops are in session. The workshops on Production and Rehearsals begin no earlier than the day immediately following the second day of the workshop on Lighting.

Question: If the workshop on Lighting is the only workshop in session on Monday, which one of the following could be true?
Options:
The workshops on Rehearsals and Staging are both in session on Tuesday.
The workshop on Rehearsals is the only workshop in session on Wednesday.
The workshop on Staging is the only workshop in session on Wednesday.
The workshops on Staging and Rehearsals are both in session on Wednesday and on Thursday.
The workshops on Staging and Production are both in session on Thursday.
Correct option (0-indexed): 2
Each of two boats, boat 1 and boat 2, will be assigned exactly four people. Exactly eight people, three adults—F, G, and H—and five children—V, W, X, Y, and Z—must be assigned to the boats according to the following conditions: Each boat is assigned at least one adult. If F is assigned to boat 2, G is assigned to boat 2. If V is assigned to boat 1, W is assigned to boat 2. X and Z are assigned to different boats.

Question: Which one of the following is an acceptable assignment of people to boat I ?
Options:
F, G, H, X
F, H, W, Y
F, H, Y, Z
F, V, W, X
G, H, X, Y
Correct option (0-indexed): 2
Each of two boats, boat 1 and boat 2, will be assigned exactly four people. Exactly eight people, three adults—F, G, and H—and five children—V, W, X, Y, and Z—must be assigned to the boats according to the following conditions: Each boat is assigned at least one adult. If F is assigned to boat 2, G is assigned to boat 2. If V is assigned to boat 1, W is assigned to boat 2. X and Z are assigned to different boats.

Question: If F is assigned to boat 2, which one of the following is a pair of people who could be assigned to the same boat as each other?
Options:
F and Y
G and H
G and Y
V and W
Y and Z
Correct option (0-indexed): 4
Each of two boats, boat 1 and boat 2, will be assigned exactly four people. Exactly eight people, three adults—F, G, and H—and five children—V, W, X, Y, and Z—must be assigned to the boats according to the following conditions: Each boat is assigned at least one adult. If F is assigned to boat 2, G is assigned to boat 2. If V is assigned to boat 1, W is assigned to boat 2. X and Z are assigned to different boats.

Question: If exactly three children are assigned to boat 1, which one of the following is a pair of people who could both be assigned to boat 2?
Options:
F and H
G and Y
H and W
V and W
W and Y
Correct option (0-indexed): 2
Each of two boats, boat 1 and boat 2, will be assigned exactly four people. Exactly eight people, three adults—F, G, and H—and five children—V, W, X, Y, and Z—must be assigned to the boats according to the following conditions: Each boat is assigned at least one adult. If F is assigned to boat 2, G is assigned to boat 2. If V is assigned to boat 1, W is assigned to boat 2. X and Z are assigned to different boats.

Question: If G is assigned to boat 1, which one of the following must be true?
Options:
H is assigned to boat 2.
V is assigned to boat 2.
Exactly one adult is assigned to boat 1.
Exactly two adults are assigned to boat 2.
Exactly two children are assigned to boat 2.
Correct option (0-indexed): 0
Each of two boats, boat 1 and boat 2, will be assigned exactly four people. Exactly eight people, three adults—F, G, and H—and five children—V, W, X, Y, and Z—must be assigned to the boats according to the following conditions: Each boat is assigned at least one adult. If F is assigned to boat 2, G is assigned to boat 2. If V is assigned to boat 1, W is assigned to boat 2. X and Z are assigned to different boats.

Question: If V and W are assigned to the same boat as each other, which one of the following is a pair of people who must also be assigned to the same boat as each other?
Options:
F and H
F and Y
G and X
W and X
Y and Z
Correct option (0-indexed): 1
Each of two boats, boat 1 and boat 2, will be assigned exactly four people. Exactly eight people, three adults—F, G, and H—and five children—V, W, X, Y, and Z—must be assigned to the boats according to the following conditions: Each boat is assigned at least one adult. If F is assigned to boat 2, G is assigned to boat 2. If V is assigned to boat 1, W is assigned to boat 2. X and Z are assigned to different boats.

Question: If H is assigned to a different boat than Y, which one of the following must be assigned to boat 1?
Options:
F
G
H
V
Y
Correct option (0-indexed): 0
Each of two boats, boat 1 and boat 2, will be assigned exactly four people. Exactly eight people, three adults—F, G, and H—and five children—V, W, X, Y, and Z—must be assigned to the boats according to the following conditions: Each boat is assigned at least one adult. If F is assigned to boat 2, G is assigned to boat 2. If V is assigned to boat 1, W is assigned to boat 2. X and Z are assigned to different boats.

Question: If exactly one adult is assigned to boat 1, which one of the following must be true?
Options:
F is assigned to boat 1.
G is assigned to boat 2.
H is assigned to boat 2.
V is assigned to boat 1.
Z is assigned to boat 2.
Correct option (0-indexed): 1
Each of nine students—Faith, Gregory, Harlan, Jennifer, Kenji, Lisa, Marcus, Nari, and Paul—will be assigned to exactly one of three panels: Oceans, Recycling, and Wetlands. Exactly three of the students will be assigned to each panel. The assignment of students to panels must meet the following conditions: Faith is assigned to the same panel as Gregory. Kenji is assigned to the same panel as Marcus. Faith is not assigned to the same panel as Paul. Gregory is not assigned to the same panel as Harlan. Jennifer is not assigned to the same panel as Kenji. Harlan is not assigned to the Oceans panel if Paul is not assigned to the Oceans panel.

Question: Which one of the following is an acceptable assignment of students to the panels?
Options:
Oceans: Faith, Gregory, Jennifer Recycling: Kenji, Lisa, Nari Wetlands: Harlan, Marcus, Paul
Oceans: Faith, Jennifer, Lisa Recycling: Harlan, Kenji, Marcus Wetlands: Gregory, Nari, Paul
Oceans: Harlan, Kenji, Marcus Recycling: Faith, Gregory, Jennifer Wetlands: Lisa, Nari, Paul
Oceans: Jennifer, Kenji, Marcus Recycling: Faith, Gregory, Nari Wetlands: Harlan, Lisa, Paul
Oceans: Kenji, Marcus, Paul Recycling: Harlan, Jennifer, Nari Wetlands: Faith, Gregory, Lisa
Correct option (0-indexed): 4
Each of nine students—Faith, Gregory, Harlan, Jennifer, Kenji, Lisa, Marcus, Nari, and Paul—will be assigned to exactly one of three panels: Oceans, Recycling, and Wetlands. Exactly three of the students will be assigned to each panel. The assignment of students to panels must meet the following conditions: Faith is assigned to the same panel as Gregory. Kenji is assigned to the same panel as Marcus. Faith is not assigned to the same panel as Paul. Gregory is not assigned to the same panel as Harlan. Jennifer is not assigned to the same panel as Kenji. Harlan is not assigned to the Oceans panel if Paul is not assigned to the Oceans panel.

Question: If Marcus and Paul are both assigned to the Wetlands panel, which one of the following must be true?
Options:
Harlan is assigned to the Recycling panel.
Jennifer is assigned to the Oceans panel.
Kenji is assigned to the Recycling panel.
Lisa is assigned to the Wetlands panel.
Nari is assigned to the Oceans panel.
Correct option (0-indexed): 0
Each of nine students—Faith, Gregory, Harlan, Jennifer, Kenji, Lisa, Marcus, Nari, and Paul—will be assigned to exactly one of three panels: Oceans, Recycling, and Wetlands. Exactly three of the students will be assigned to each panel. The assignment of students to panels must meet the following conditions: Faith is assigned to the same panel as Gregory. Kenji is assigned to the same panel as Marcus. Faith is not assigned to the same panel as Paul. Gregory is not assigned to the same panel as Harlan. Jennifer is not assigned to the same panel as Kenji. Harlan is not assigned to the Oceans panel if Paul is not assigned to the Oceans panel.

Question: Which one of the following is a pair of students who could be assigned to the same panel as each other?
Options:
Faith and Harlan
Gregory and Paul
Harlan and Marcus
Faith and Marcus
Jennifer and Marcus
Correct option (0-indexed): 2
Each of nine students—Faith, Gregory, Harlan, Jennifer, Kenji, Lisa, Marcus, Nari, and Paul—will be assigned to exactly one of three panels: Oceans, Recycling, and Wetlands. Exactly three of the students will be assigned to each panel. The assignment of students to panels must meet the following conditions: Faith is assigned to the same panel as Gregory. Kenji is assigned to the same panel as Marcus. Faith is not assigned to the same panel as Paul. Gregory is not assigned to the same panel as Harlan. Jennifer is not assigned to the same panel as Kenji. Harlan is not assigned to the Oceans panel if Paul is not assigned to the Oceans panel.

Question: If Kenji and Paul are both assigned to the Recycling panel, which one of the following could be true?
Options:
Faith is assigned to the Wetlands panel.
Gregory is assigned to the Recycling panel.
Harlan is assigned to the Oceans panel.
Jennifer is assigned to the Wetlands panel.
Lisa is assigned to the Recycling panel.
Correct option (0-indexed): 3
Each of nine students—Faith, Gregory, Harlan, Jennifer, Kenji, Lisa, Marcus, Nari, and Paul—will be assigned to exactly one of three panels: Oceans, Recycling, and Wetlands. Exactly three of the students will be assigned to each panel. The assignment of students to panels must meet the following conditions: Faith is assigned to the same panel as Gregory. Kenji is assigned to the same panel as Marcus. Faith is not assigned to the same panel as Paul. Gregory is not assigned to the same panel as Harlan. Jennifer is not assigned to the same panel as Kenji. Harlan is not assigned to the Oceans panel if Paul is not assigned to the Oceans panel.

Question: Each of the following is a pair of students who could be assigned to the same panel as each other EXCEPT:
Options:
Gregory and Kenji
Gregory and Lisa
Kenji and Nari
Lisa and Marcus
Lisa and Paul
Correct option (0-indexed): 0
Each of seven travelers—Norris, Oribe, Paulsen, Rosen, Semonelli, Tan, and Underwood—will be assigned to exactly one of nine airplane seats. The seats are numbered from 1 through 9 and arranged in rows as follows: Front row: 1 2 3 Middle row: 4 5 6 Last row: 7 8 9 Only seats in the same row as each other are immediately beside each other. Seat assignments must meet the following conditions: Oribe's seat is in the last row. Paulsen's seat is immediately beside Rosen's seat and also immediately beside an unassigned seat. Rosen's seat is in the row immediately behind the row in which Norris' seat is located. Neither Semonelli nor Underwood is seated immediately beside Norris.

Question: Which one of the following is a pair of travelers who could be assigned to seats 2 and 8, respectively?
Options:
Norris, Semonelli
Oribe, Underwood
Paulsen, Oribe
Rosen, Semonelli
Underwood, Tan
Correct option (0-indexed): 0
Each of seven travelers—Norris, Oribe, Paulsen, Rosen, Semonelli, Tan, and Underwood—will be assigned to exactly one of nine airplane seats. The seats are numbered from 1 through 9 and arranged in rows as follows: Front row: 1 2 3 Middle row: 4 5 6 Last row: 7 8 9 Only seats in the same row as each other are immediately beside each other. Seat assignments must meet the following conditions: Oribe's seat is in the last row. Paulsen's seat is immediately beside Rosen's seat and also immediately beside an unassigned seat. Rosen's seat is in the row immediately behind the row in which Norris' seat is located. Neither Semonelli nor Underwood is seated immediately beside Norris.

Question: If Semonelli and Underwood are not assigned to seats in the same row as each other, which one of the following must be false?
Options:
Norris is assigned to seat 2.
Paulsen is assigned to seat 5.
Rosen is assigned to seat 4.
Tan is assigned to seat 2.
Underwood is assigned to seat 1.
Correct option (0-indexed): 0
Each of seven travelers—Norris, Oribe, Paulsen, Rosen, Semonelli, Tan, and Underwood—will be assigned to exactly one of nine airplane seats. The seats are numbered from 1 through 9 and arranged in rows as follows: Front row: 1 2 3 Middle row: 4 5 6 Last row: 7 8 9 Only seats in the same row as each other are immediately beside each other. Seat assignments must meet the following conditions: Oribe's seat is in the last row. Paulsen's seat is immediately beside Rosen's seat and also immediately beside an unassigned seat. Rosen's seat is in the row immediately behind the row in which Norris' seat is located. Neither Semonelli nor Underwood is seated immediately beside Norris.

Question: If Semonelli is assigned to a seat in the same row as Underwood, which one of the following travelers could be assigned to a seat immediately beside one of the unassigned seats?
Options:
Oribe
Rosen
Semonelli
Tan
Underwood
Correct option (0-indexed): 3
Each of seven travelers—Norris, Oribe, Paulsen, Rosen, Semonelli, Tan, and Underwood—will be assigned to exactly one of nine airplane seats. The seats are numbered from 1 through 9 and arranged in rows as follows: Front row: 1 2 3 Middle row: 4 5 6 Last row: 7 8 9 Only seats in the same row as each other are immediately beside each other. Seat assignments must meet the following conditions: Oribe's seat is in the last row. Paulsen's seat is immediately beside Rosen's seat and also immediately beside an unassigned seat. Rosen's seat is in the row immediately behind the row in which Norris' seat is located. Neither Semonelli nor Underwood is seated immediately beside Norris.

Question: If the seat to which Tan is assigned is immediately beside a seat assigned to another traveler and also immediately beside one of the unassigned seats, which one of the following must be true?
Options:
Tan is assigned to a seat in the front row.
Tan is assigned to a seat in the last row.
Oribe is assigned to a seat immediately beside Semonelli.
Oribe is assigned to a seat immediately beside Tan.
Semonelli is assigned to a seat immediately beside Underwood.
Correct option (0-indexed): 0
Each of seven travelers—Norris, Oribe, Paulsen, Rosen, Semonelli, Tan, and Underwood—will be assigned to exactly one of nine airplane seats. The seats are numbered from 1 through 9 and arranged in rows as follows: Front row: 1 2 3 Middle row: 4 5 6 Last row: 7 8 9 Only seats in the same row as each other are immediately beside each other. Seat assignments must meet the following conditions: Oribe's seat is in the last row. Paulsen's seat is immediately beside Rosen's seat and also immediately beside an unassigned seat. Rosen's seat is in the row immediately behind the row in which Norris' seat is located. Neither Semonelli nor Underwood is seated immediately beside Norris.

Question: If Oribe is assigned to a seat immediately beside one of the unassigned seats, which one of the following must be true?
Options:
Oribe is assigned to seat 8.
Tan is assigned to seat 2.
Underwood is assigned to seat 1.
Seat 4 is unassigned.
Seat 9 is unassigned.
Correct option (0-indexed): 1
A university library budget committee must reduce exactly five of eight areas of expenditure—G, L, M, N, P, R, S, and W—in accordance with the following conditions: If both G and S are reduced, W is also reduced. If N is reduced, neither R nor S is reduced. If P is reduced, L is not reduced. Of the three areas L, M, and R, exactly two are reduced.

Question: Which one of the following could be a complete and accurate list of the areas of expenditure reduced by the committee?
Options:
G, L, M, N, W
G, L, M, P, W
G, M, N, R, W
G, M, P, R, S
L, M, R, S, W
Correct option (0-indexed): 0
A university library budget committee must reduce exactly five of eight areas of expenditure—G, L, M, N, P, R, S, and W—in accordance with the following conditions: If both G and S are reduced, W is also reduced. If N is reduced, neither R nor S is reduced. If P is reduced, L is not reduced. Of the three areas L, M, and R, exactly two are reduced.

Question: If W is reduced, which one of the following could be a complete and accurate list of the four other areas of expenditure to be reduced?
Options:
G, M, P, S
L, M, N, R
L, M, P, S
M, N, P, S
M, P, R, S
Correct option (0-indexed): 4
A university library budget committee must reduce exactly five of eight areas of expenditure—G, L, M, N, P, R, S, and W—in accordance with the following conditions: If both G and S are reduced, W is also reduced. If N is reduced, neither R nor S is reduced. If P is reduced, L is not reduced. Of the three areas L, M, and R, exactly two are reduced.

Question: If P is reduced, which one of the following is a pair of areas of expenditure both of which must be reduced?
Options:
G, M
M, R
N, R
R, S
S, W
Correct option (0-indexed): 1
A university library budget committee must reduce exactly five of eight areas of expenditure—G, L, M, N, P, R, S, and W—in accordance with the following conditions: If both G and S are reduced, W is also reduced. If N is reduced, neither R nor S is reduced. If P is reduced, L is not reduced. Of the three areas L, M, and R, exactly two are reduced.

Question: If both L and S are reduced, which one of the following could be a pair of areas of expenditure both of which are reduced?
Options:
G, M
G, P
N, R
N, W
P, S
Correct option (0-indexed): 0
A university library budget committee must reduce exactly five of eight areas of expenditure—G, L, M, N, P, R, S, and W—in accordance with the following conditions: If both G and S are reduced, W is also reduced. If N is reduced, neither R nor S is reduced. If P is reduced, L is not reduced. Of the three areas L, M, and R, exactly two are reduced.

Question: If R is not reduced, which one of the following must be true?
Options:
G is reduced.
N is not reduced.
P is reduced.
S is reduced.
W is not reduced.
Correct option (0-indexed): 0
A university library budget committee must reduce exactly five of eight areas of expenditure—G, L, M, N, P, R, S, and W—in accordance with the following conditions: If both G and S are reduced, W is also reduced. If N is reduced, neither R nor S is reduced. If P is reduced, L is not reduced. Of the three areas L, M, and R, exactly two are reduced.

Question: If both M and R are reduced, which one of the following is a pair of areas neither of which could be reduced?
Options:
G, L
G, N
L, N
L, P
P, S
Correct option (0-indexed): 2
A university library budget committee must reduce exactly five of eight areas of expenditure—G, L, M, N, P, R, S, and W—in accordance with the following conditions: If both G and S are reduced, W is also reduced. If N is reduced, neither R nor S is reduced. If P is reduced, L is not reduced. Of the three areas L, M, and R, exactly two are reduced.

Question: Which one of the following areas must be reduced?
Options:
G
L
N
P
W
Correct option (0-indexed): 4
A jeweler makes a single strand of beads by threading onto a string in a single direction from a clasp a series of solid-colored beads. Each bead is either green, orange, purple, red, or yellow. The resulting strand satisfies the following specifications: If a purple bead is adjacent to a yellow bead, any bead that immediately follows and any bead that immediately precedes that pair must be red. Any pair of beads adjacent to each other that are the same color as each other must be green. No orange bead can be adjacent to any red bead. Any portion of the strand containing eight consecutive beads must include at least one bead of each color.

Question: If the strand has exactly eight beads, which one of the following is an acceptable order, starting from the clasp, for the eight beads?
Options:
green, red, purple, yellow, red, orange, green, purple
orange, yellow, red, red, yellow, purple, red, green
purple, yellow, red, green, green, orange, yellow, orange
red, orange, red, yellow, purple, green, yellow, green
red, yellow, purple, red, green, red, green, green
Correct option (0-indexed): 2
A jeweler makes a single strand of beads by threading onto a string in a single direction from a clasp a series of solid-colored beads. Each bead is either green, orange, purple, red, or yellow. The resulting strand satisfies the following specifications: If a purple bead is adjacent to a yellow bead, any bead that immediately follows and any bead that immediately precedes that pair must be red. Any pair of beads adjacent to each other that are the same color as each other must be green. No orange bead can be adjacent to any red bead. Any portion of the strand containing eight consecutive beads must include at least one bead of each color.

Question: If an orange bead is the fourth bead from the clasp, which one of the following is a pair that could be the second and third beads, respectively?
Options:
green, orange
green, red
purple, purple
yellow, green
yellow, purple
Correct option (0-indexed): 3
A jeweler makes a single strand of beads by threading onto a string in a single direction from a clasp a series of solid-colored beads. Each bead is either green, orange, purple, red, or yellow. The resulting strand satisfies the following specifications: If a purple bead is adjacent to a yellow bead, any bead that immediately follows and any bead that immediately precedes that pair must be red. Any pair of beads adjacent to each other that are the same color as each other must be green. No orange bead can be adjacent to any red bead. Any portion of the strand containing eight consecutive beads must include at least one bead of each color.

Question: If on an eight-bead strand the second, third, and fourth beads from the clasp are red, green, and yellow, respectively, and the sixth and seventh beads are purple and red, respectively, then which one of the following must be true?
Options:
The first bead is purple.
The fifth bead is green.
The fifth bead is orange.
The eighth bead is orange.
The eighth bead is yellow.
Correct option (0-indexed): 2
A jeweler makes a single strand of beads by threading onto a string in a single direction from a clasp a series of solid-colored beads. Each bead is either green, orange, purple, red, or yellow. The resulting strand satisfies the following specifications: If a purple bead is adjacent to a yellow bead, any bead that immediately follows and any bead that immediately precedes that pair must be red. Any pair of beads adjacent to each other that are the same color as each other must be green. No orange bead can be adjacent to any red bead. Any portion of the strand containing eight consecutive beads must include at least one bead of each color.

Question: If on a six-bead strand the first and second beads from the clasp are purple and yellow, respectively, then the fifth and sixth beads CANNOT be
Options:
green and orange, respectively
orange and green, respectively
orange and yellow, respectively
purple and orange, respectively
yellow and purple, respectively
Correct option (0-indexed): 4
A jeweler makes a single strand of beads by threading onto a string in a single direction from a clasp a series of solid-colored beads. Each bead is either green, orange, purple, red, or yellow. The resulting strand satisfies the following specifications: If a purple bead is adjacent to a yellow bead, any bead that immediately follows and any bead that immediately precedes that pair must be red. Any pair of beads adjacent to each other that are the same color as each other must be green. No orange bead can be adjacent to any red bead. Any portion of the strand containing eight consecutive beads must include at least one bead of each color.

Question: If on a nine-bead strand the first and fourth beads from the clasp are purple, and the second and fifth beads are yellow, which one of the following could be true?
Options:
The seventh bead is orange.
The eighth bead is green.
The eighth bead is red.
The ninth bead is red.
The ninth bead is yellow.
Correct option (0-indexed): 4
A jeweler makes a single strand of beads by threading onto a string in a single direction from a clasp a series of solid-colored beads. Each bead is either green, orange, purple, red, or yellow. The resulting strand satisfies the following specifications: If a purple bead is adjacent to a yellow bead, any bead that immediately follows and any bead that immediately precedes that pair must be red. Any pair of beads adjacent to each other that are the same color as each other must be green. No orange bead can be adjacent to any red bead. Any portion of the strand containing eight consecutive beads must include at least one bead of each color.

Question: If on an eight-bead strand the first, second, third, and fourth beads from the clasp are red, yellow, green, and red, respectively, then the fifth and sixth beads CANNOT be
Options:
green and orange, respectively
green and purple, respectively
purple and orange, respectively
purple and yellow, respectively
yellow and orange, respectively
Correct option (0-indexed): 3
At an evening concert, a total of six songs—O, P, T, X, Y, and Z—will be performed by three vocalists—George, Helen, and Leslie. The songs will be sung consecutively as solos, and each will be performed exactly once. The following constraints govern the composition of the concert program: Y must be performed earlier than T and earlier than O. P must be performed earlier than Z and later than O. George can perform only X, Y, and Z. Helen can perform only T, P, and X. Leslie can perform only O, P, and X. The vocalist who performs first must be different from the vocalist who performs last.

Question: Which one of the following is an acceptable schedule for the performance of the songs, in order from the first to last song performed?
Options:
X, T, Y, O, P, Z
X, Z, Y, T, O, P
Y, O, P, X, T, Z
Y, P, O, Z, T, X
Y, X, O, P, Z, T
Correct option (0-indexed): 4
At an evening concert, a total of six songs—O, P, T, X, Y, and Z—will be performed by three vocalists—George, Helen, and Leslie. The songs will be sung consecutively as solos, and each will be performed exactly once. The following constraints govern the composition of the concert program: Y must be performed earlier than T and earlier than O. P must be performed earlier than Z and later than O. George can perform only X, Y, and Z. Helen can perform only T, P, and X. Leslie can perform only O, P, and X. The vocalist who performs first must be different from the vocalist who performs last.

Question: Which one of the following must be true about the program?
Options:
George performs X.
Helen performs O.
Helen performs T.
Leslie performs P.
Leslie performs X.
Correct option (0-indexed): 2
At an evening concert, a total of six songs—O, P, T, X, Y, and Z—will be performed by three vocalists—George, Helen, and Leslie. The songs will be sung consecutively as solos, and each will be performed exactly once. The following constraints govern the composition of the concert program: Y must be performed earlier than T and earlier than O. P must be performed earlier than Z and later than O. George can perform only X, Y, and Z. Helen can perform only T, P, and X. Leslie can perform only O, P, and X. The vocalist who performs first must be different from the vocalist who performs last.

Question: Which one of the following is a complete and accurate list of the songs any one of which could be the last song performed at the concert?
Options:
O, P, Z
O, T, X
T, P, Z
T, X, Z
X, P, Z
Correct option (0-indexed): 3
At an evening concert, a total of six songs—O, P, T, X, Y, and Z—will be performed by three vocalists—George, Helen, and Leslie. The songs will be sung consecutively as solos, and each will be performed exactly once. The following constraints govern the composition of the concert program: Y must be performed earlier than T and earlier than O. P must be performed earlier than Z and later than O. George can perform only X, Y, and Z. Helen can perform only T, P, and X. Leslie can perform only O, P, and X. The vocalist who performs first must be different from the vocalist who performs last.

Question: If X is performed first, which one of the following must be true?
Options:
X is performed by George.
X is performed by Helen.
P is the fourth song performed.
Y is the second song performed.
Y is the third song performed.
Correct option (0-indexed): 3
At an evening concert, a total of six songs—O, P, T, X, Y, and Z—will be performed by three vocalists—George, Helen, and Leslie. The songs will be sung consecutively as solos, and each will be performed exactly once. The following constraints govern the composition of the concert program: Y must be performed earlier than T and earlier than O. P must be performed earlier than Z and later than O. George can perform only X, Y, and Z. Helen can perform only T, P, and X. Leslie can perform only O, P, and X. The vocalist who performs first must be different from the vocalist who performs last.

Question: Each of the following is an acceptable schedule for the performance of the songs, in order from the first to last song performed, EXCEPT:
Options:
Y, O, P, T, Z, X
Y, T, O, P, X, Z
Y, X, O, P, Z, T
X, Y, O, P, Z, T
X, Y, O, T, P, Z
Correct option (0-indexed): 1
At an evening concert, a total of six songs—O, P, T, X, Y, and Z—will be performed by three vocalists—George, Helen, and Leslie. The songs will be sung consecutively as solos, and each will be performed exactly once. The following constraints govern the composition of the concert program: Y must be performed earlier than T and earlier than O. P must be performed earlier than Z and later than O. George can perform only X, Y, and Z. Helen can perform only T, P, and X. Leslie can perform only O, P, and X. The vocalist who performs first must be different from the vocalist who performs last.

Question: If Y is performed first, the songs performed second, third, and fourth, respectively, could be
Options:
T, X, and O
T, Z, and O
X, O, and P
X, P, and Z
X, T, and O
Correct option (0-indexed): 2