benlipkin/arlsat huggingface dataset:
Exactly four medical training sessions—M, O, R, and S—will be scheduled for four consecutive days—day 1 through day 4—one session each day. Six professionals—three nurses and three psychologists—will teach the sessions. The nurses are Fine, Johnson, and Leopold; the psychologists are Tyler, Vitale, and Wong. Each session will be taught by exactly one nurse and exactly one psychologist. The schedule must conform to the following conditions: Each professional teaches at least once. Day 3 is a day on which Leopold teaches. Neither Fine nor Leopold teaches with Tyler. Johnson teaches session S only. Session M is taught on the day after the day on which session S is taught.

Question: Which one of the following could be the session and the professionals scheduled for day 4 ?
Options:
session M, Fine, Wong
session O, Fine, Tyler
session O, Johnson, Tyler
session R, Fine, Wong
session S, Fine, Vitale
Correct option (0-indexed): 3
Exactly four medical training sessions—M, O, R, and S—will be scheduled for four consecutive days—day 1 through day 4—one session each day. Six professionals—three nurses and three psychologists—will teach the sessions. The nurses are Fine, Johnson, and Leopold; the psychologists are Tyler, Vitale, and Wong. Each session will be taught by exactly one nurse and exactly one psychologist. The schedule must conform to the following conditions: Each professional teaches at least once. Day 3 is a day on which Leopold teaches. Neither Fine nor Leopold teaches with Tyler. Johnson teaches session S only. Session M is taught on the day after the day on which session S is taught.

Question: If session S is scheduled for day 2, which one of the following is a professional who must be scheduled to teach session M ?
Options:
Fine
Leopold
Tyler
Vitale
Wong
Correct option (0-indexed): 1
Exactly four medical training sessions—M, O, R, and S—will be scheduled for four consecutive days—day 1 through day 4—one session each day. Six professionals—three nurses and three psychologists—will teach the sessions. The nurses are Fine, Johnson, and Leopold; the psychologists are Tyler, Vitale, and Wong. Each session will be taught by exactly one nurse and exactly one psychologist. The schedule must conform to the following conditions: Each professional teaches at least once. Day 3 is a day on which Leopold teaches. Neither Fine nor Leopold teaches with Tyler. Johnson teaches session S only. Session M is taught on the day after the day on which session S is taught.

Question: If session O and session R are scheduled for consecutive days, which one of the following is a pair of professionals who could be scheduled for day 2 together?
Options:
Fine and Leopold
Fine and Wong
Johnson and Tyler
Johnson and Vitale
Leopold and Tyler
Correct option (0-indexed): 1
Exactly four medical training sessions—M, O, R, and S—will be scheduled for four consecutive days—day 1 through day 4—one session each day. Six professionals—three nurses and three psychologists—will teach the sessions. The nurses are Fine, Johnson, and Leopold; the psychologists are Tyler, Vitale, and Wong. Each session will be taught by exactly one nurse and exactly one psychologist. The schedule must conform to the following conditions: Each professional teaches at least once. Day 3 is a day on which Leopold teaches. Neither Fine nor Leopold teaches with Tyler. Johnson teaches session S only. Session M is taught on the day after the day on which session S is taught.

Question: Which one of the following could be the order in which the nurses teach the sessions, listed from day 1 through day 4?
Options:
Fine, Johnson, Leopold, Leopold
Fine, Leopold, Leopold, Johnson
Johnson, Johnson, Leopold, Fine
Johnson, Leopold, Leopold, Johnson
Leopold, Leopold, Fine, Fine
Correct option (0-indexed): 0
Exactly four medical training sessions—M, O, R, and S—will be scheduled for four consecutive days—day 1 through day 4—one session each day. Six professionals—three nurses and three psychologists—will teach the sessions. The nurses are Fine, Johnson, and Leopold; the psychologists are Tyler, Vitale, and Wong. Each session will be taught by exactly one nurse and exactly one psychologist. The schedule must conform to the following conditions: Each professional teaches at least once. Day 3 is a day on which Leopold teaches. Neither Fine nor Leopold teaches with Tyler. Johnson teaches session S only. Session M is taught on the day after the day on which session S is taught.

Question: If session O is scheduled for day 3, which one of the following must be scheduled for day 4?
Options:
session R
session S
Fine
Leopold
Vitale
Correct option (0-indexed): 0
Six paintings hang next to each other as shown below: Each of the paintings is an oil or else a watercolor. Each oil is directly beside, directly above, or directly below another oil. Each watercolor is directly beside, directly above, or directly below another watercolor. Each painting is a nineteenth-century painting or else a twentieth-century painting. Each painting is directly beside, directly above, or directly below another painting painted in the same century. Painting 2 is a nineteenth-century painting. Painting 3 is an oil. Painting 5 is a twentieth-century painting.

Question: If all of the nineteenth-century paintings are watercolors, which one of the following must be true?
Options:
Painting 1 is an oil.
Painting 3 is a nineteenth-century painting.
Painting 4 is a watercolor.
Painting 5 is an oil.
Painting 6 is a twentieth-century painting.
Correct option (0-indexed): 4
Six paintings hang next to each other as shown below: Each of the paintings is an oil or else a watercolor. Each oil is directly beside, directly above, or directly below another oil. Each watercolor is directly beside, directly above, or directly below another watercolor. Each painting is a nineteenth-century painting or else a twentieth-century painting. Each painting is directly beside, directly above, or directly below another painting painted in the same century. Painting 2 is a nineteenth-century painting. Painting 3 is an oil. Painting 5 is a twentieth-century painting.

Question: It is possible that the only two watercolors among the six paintings are
Options:
paintings 1 and 5
paintings 1 and 6
paintings 2 and 4
paintings 4 and 5
paintings 4 and 6
Correct option (0-indexed): 3
Six paintings hang next to each other as shown below: Each of the paintings is an oil or else a watercolor. Each oil is directly beside, directly above, or directly below another oil. Each watercolor is directly beside, directly above, or directly below another watercolor. Each painting is a nineteenth-century painting or else a twentieth-century painting. Each painting is directly beside, directly above, or directly below another painting painted in the same century. Painting 2 is a nineteenth-century painting. Painting 3 is an oil. Painting 5 is a twentieth-century painting.

Question: If there are exactly three oils and three watercolors, which one of the following must be true?
Options:
Painting 1 is a watercolor.
Painting 2 is a watercolor.
Painting 4 is a watercolor.
Painting 5 is a watercolor.
Painting 6 is a watercolor.
Correct option (0-indexed): 2
Six paintings hang next to each other as shown below: Each of the paintings is an oil or else a watercolor. Each oil is directly beside, directly above, or directly below another oil. Each watercolor is directly beside, directly above, or directly below another watercolor. Each painting is a nineteenth-century painting or else a twentieth-century painting. Each painting is directly beside, directly above, or directly below another painting painted in the same century. Painting 2 is a nineteenth-century painting. Painting 3 is an oil. Painting 5 is a twentieth-century painting.

Question: If exactly two paintings are oils and exactly two paintings are nineteenth-century paintings, which one of the following must be false?
Options:
Painting 1 is a nineteenth-century painting, and painting 6 is an oil.
Painting 2 is both a nineteenth-century painting and an oil.
Painting 3 is a nineteenth-century painting.
Paintings 1 and 2 are both nineteenth-century paintings.
Painting 2 is an oil, and painting 4 is a nineteenth-century painting.
Correct option (0-indexed): 4
Six paintings hang next to each other as shown below: Each of the paintings is an oil or else a watercolor. Each oil is directly beside, directly above, or directly below another oil. Each watercolor is directly beside, directly above, or directly below another watercolor. Each painting is a nineteenth-century painting or else a twentieth-century painting. Each painting is directly beside, directly above, or directly below another painting painted in the same century. Painting 2 is a nineteenth-century painting. Painting 3 is an oil. Painting 5 is a twentieth-century painting.

Question: Which one of the following could be true?
Options:
Paintings 1 and 4 are two of exactly three twentieth-century paintings.
Paintings 1 and 6 are two of exactly three twentieth-century paintings.
Paintings 1 and 6 are two of exactly three nineteenth-century paintings.
Paintings 3 and 4 are two of exactly three nineteenth-century paintings.
Paintings 4 and 6 are two of exactly three nineteenth-century paintings.
Correct option (0-indexed): 0
Exactly six of seven jugglers—G, H, K, L, N, P, and Q—are each assigned to exactly one of three positions—front, middle, and rear—on one of two teams—team 1 and team 2. For each team, exactly one juggler must be assigned to each position according to the following conditions: If either G or H or both are assigned to teams, they are assigned to front positions. If assigned to a team, K is assigned to a middle position. If assigned to a team, L is assigned to team 1. Neither P nor K is on the same team as N. P is not on the same team as Q. If H is on team 2, then Q is assigned to the middle position on team 1.

Question: Which one of the following is an acceptable list of assignments of jugglers to team 2?
Options:
front: Q; middle: K; rear: N
front: H; middle: P; rear: K
front: H; middle: L; near: N
front: G; middle: Q; rear: P
front: G; middle: Q; rear: N
Correct option (0-indexed): 4
Exactly six of seven jugglers—G, H, K, L, N, P, and Q—are each assigned to exactly one of three positions—front, middle, and rear—on one of two teams—team 1 and team 2. For each team, exactly one juggler must be assigned to each position according to the following conditions: If either G or H or both are assigned to teams, they are assigned to front positions. If assigned to a team, K is assigned to a middle position. If assigned to a team, L is assigned to team 1. Neither P nor K is on the same team as N. P is not on the same team as Q. If H is on team 2, then Q is assigned to the middle position on team 1.

Question: If H is assigned to team 2, which one of the following is an acceptable assignment of jugglers to team 1?
Options:
front: G; middle: K; rear: L
front: G; middle: K; rear: N
front: L; middle: K; rear: P
front: L; middle: Q; rear: G
front: L; middle: Q; rear: N
Correct option (0-indexed): 4
Exactly six of seven jugglers—G, H, K, L, N, P, and Q—are each assigned to exactly one of three positions—front, middle, and rear—on one of two teams—team 1 and team 2. For each team, exactly one juggler must be assigned to each position according to the following conditions: If either G or H or both are assigned to teams, they are assigned to front positions. If assigned to a team, K is assigned to a middle position. If assigned to a team, L is assigned to team 1. Neither P nor K is on the same team as N. P is not on the same team as Q. If H is on team 2, then Q is assigned to the middle position on team 1.

Question: Which one of the following is an acceptable list of assignments of jugglers to team 1?
Options:
front: G; middle: K; rear: L
front: G; middle: K; rear: P
front: L; middle: K; rear: Q
front: Q; middle: K; rear: P
front: Q; middle: L; rear: N
Correct option (0-indexed): 4
Exactly six of seven jugglers—G, H, K, L, N, P, and Q—are each assigned to exactly one of three positions—front, middle, and rear—on one of two teams—team 1 and team 2. For each team, exactly one juggler must be assigned to each position according to the following conditions: If either G or H or both are assigned to teams, they are assigned to front positions. If assigned to a team, K is assigned to a middle position. If assigned to a team, L is assigned to team 1. Neither P nor K is on the same team as N. P is not on the same team as Q. If H is on team 2, then Q is assigned to the middle position on team 1.

Question: If G is assigned to team 1, which one of the following is a pair of jugglers who could also be assigned to team 1?
Options:
H and N
K and L
K and P
L and N
L and Q
Correct option (0-indexed): 4
Exactly six of seven jugglers—G, H, K, L, N, P, and Q—are each assigned to exactly one of three positions—front, middle, and rear—on one of two teams—team 1 and team 2. For each team, exactly one juggler must be assigned to each position according to the following conditions: If either G or H or both are assigned to teams, they are assigned to front positions. If assigned to a team, K is assigned to a middle position. If assigned to a team, L is assigned to team 1. Neither P nor K is on the same team as N. P is not on the same team as Q. If H is on team 2, then Q is assigned to the middle position on team 1.

Question: If G is assigned to team 1 and K is assigned to team 2, which one of the following must be assigned the rear position on team 2?
Options:
H
L
N
P
Q
Correct option (0-indexed): 3
A producer is positioning exactly seven music pieces—F, G, H, J, K, L, and M—one after another on a music recording, not necessarily in that order. Each piece will fill exactly one of the seven sequential tracks on the recording, according to the following conditions: F must be second. J cannot be seventh. G can come neither immediately before nor immediately after H. H must be in some track before that of L. L must be in some track before that of M.

Question: Which one of the following could be the order, from first to seventh, of the pieces on the recording?
Options:
F, K, G, J, H, L, M
G, F, H, K, L, J, M
G, F, H, K, L, M, J
K, F, G, H, J, L, M
K, F, L, J, H, M, G
Correct option (0-indexed): 1
A producer is positioning exactly seven music pieces—F, G, H, J, K, L, and M—one after another on a music recording, not necessarily in that order. Each piece will fill exactly one of the seven sequential tracks on the recording, according to the following conditions: F must be second. J cannot be seventh. G can come neither immediately before nor immediately after H. H must be in some track before that of L. L must be in some track before that of M.

Question: If M fills some track before that of J and also before that of K on the recording, which one of the following must be true?
Options:
G is first.
K is seventh.
L is third.
H comes either immediately before or immediately after F.
L comes either immediately before or immediately after G.
Correct option (0-indexed): 3
A producer is positioning exactly seven music pieces—F, G, H, J, K, L, and M—one after another on a music recording, not necessarily in that order. Each piece will fill exactly one of the seven sequential tracks on the recording, according to the following conditions: F must be second. J cannot be seventh. G can come neither immediately before nor immediately after H. H must be in some track before that of L. L must be in some track before that of M.

Question: Which one of the following is a complete and accurate list of the pieces any of which could be first on the recording?
Options:
G, J, K
G, H, J, K
G, H, J, L
G, J, K, L
H, J, K, L, M
Correct option (0-indexed): 1
A producer is positioning exactly seven music pieces—F, G, H, J, K, L, and M—one after another on a music recording, not necessarily in that order. Each piece will fill exactly one of the seven sequential tracks on the recording, according to the following conditions: F must be second. J cannot be seventh. G can come neither immediately before nor immediately after H. H must be in some track before that of L. L must be in some track before that of M.

Question: The earliest track that M can fill is the
Options:
first
third
fourth
fifth
sixth
Correct option (0-indexed): 2
A producer is positioning exactly seven music pieces—F, G, H, J, K, L, and M—one after another on a music recording, not necessarily in that order. Each piece will fill exactly one of the seven sequential tracks on the recording, according to the following conditions: F must be second. J cannot be seventh. G can come neither immediately before nor immediately after H. H must be in some track before that of L. L must be in some track before that of M.

Question: If G is to come immediately before H but all the other conditions remain in effect, any of the following could be true EXCEPT:
Options:
J comes immediately before F.
K comes immediately before G.
J comes immediately after L.
J comes immediately after K.
K comes immediately after M.
Correct option (0-indexed): 3
Fu, Gunsel, Jackson, Kowalski, Lee, Mayer, and Ordoveza are the only applicants being considered for some positions at a nonprofit organization. Only applicants who are interviewed will be hired. The hiring process must meet the following constraints: If Gunsel is interviewed, Jackson is interviewed. If Jackson is interviewed, Lee is interviewed. Fu is interviewed. Fu is not hired, unless Kowalski is interviewed. Kowalski is not hired, unless Mayer is interviewed. If Mayer is hired, and Lee is interviewed, Ordoveza is hired.

Question: Which one of the following could be a complete and accurate list of the applicants that are interviewed?
Options:
Fu, Gunsel
Fu, Jackson
Fu, Lee
Fu, Gunsel, Lee
Fu, Gunsel, Jackson
Correct option (0-indexed): 2
Fu, Gunsel, Jackson, Kowalski, Lee, Mayer, and Ordoveza are the only applicants being considered for some positions at a nonprofit organization. Only applicants who are interviewed will be hired. The hiring process must meet the following constraints: If Gunsel is interviewed, Jackson is interviewed. If Jackson is interviewed, Lee is interviewed. Fu is interviewed. Fu is not hired, unless Kowalski is interviewed. Kowalski is not hired, unless Mayer is interviewed. If Mayer is hired, and Lee is interviewed, Ordoveza is hired.

Question: Which one of the following could be true?
Options:
Lee and Mayer are the only applicants interviewed.
Fu, Jackson, and Kowalski are the only applicants interviewed.
Gunsel and one other applicant are the only applicants interviewed.
Gunsel and two other applicants are the only applicants interviewed.
Gunsel and three other applicants are the only applicants interviewed.
Correct option (0-indexed): 4
Fu, Gunsel, Jackson, Kowalski, Lee, Mayer, and Ordoveza are the only applicants being considered for some positions at a nonprofit organization. Only applicants who are interviewed will be hired. The hiring process must meet the following constraints: If Gunsel is interviewed, Jackson is interviewed. If Jackson is interviewed, Lee is interviewed. Fu is interviewed. Fu is not hired, unless Kowalski is interviewed. Kowalski is not hired, unless Mayer is interviewed. If Mayer is hired, and Lee is interviewed, Ordoveza is hired.

Question: If Mayer is not interviewed, which one of the following must be true?
Options:
Kowalski is not interviewed.
Kowalski is interviewed but not hired.
Fu is not hired.
Fu is hired but Kowalski is not hired.
Fu is interviewed but Kowalski is not hired.
Correct option (0-indexed): 4
Fu, Gunsel, Jackson, Kowalski, Lee, Mayer, and Ordoveza are the only applicants being considered for some positions at a nonprofit organization. Only applicants who are interviewed will be hired. The hiring process must meet the following constraints: If Gunsel is interviewed, Jackson is interviewed. If Jackson is interviewed, Lee is interviewed. Fu is interviewed. Fu is not hired, unless Kowalski is interviewed. Kowalski is not hired, unless Mayer is interviewed. If Mayer is hired, and Lee is interviewed, Ordoveza is hired.

Question: If Gunsel and five other applicants are the only applicants interviewed, and if exactly three applicants are hired, then which one of the following could be an accurate list of the applicants hired?
Options:
Fu, Lee, Mayer
Fu, Kowalski, Mayer
Kowalski, Lee, Ordoveza
Gunsel, Jackson, Mayer
Gunsel, Jackson, Lee
Correct option (0-indexed): 4
Fu, Gunsel, Jackson, Kowalski, Lee, Mayer, and Ordoveza are the only applicants being considered for some positions at a nonprofit organization. Only applicants who are interviewed will be hired. The hiring process must meet the following constraints: If Gunsel is interviewed, Jackson is interviewed. If Jackson is interviewed, Lee is interviewed. Fu is interviewed. Fu is not hired, unless Kowalski is interviewed. Kowalski is not hired, unless Mayer is interviewed. If Mayer is hired, and Lee is interviewed, Ordoveza is hired.

Question: If every applicant that is interviewed is hired, and if Lee is hired, then each of the following applicants must be interviewed EXCEPT:
Options:
Fu
Jackson
Kowalski
Mayer
Ordoveza
Correct option (0-indexed): 1
Fu, Gunsel, Jackson, Kowalski, Lee, Mayer, and Ordoveza are the only applicants being considered for some positions at a nonprofit organization. Only applicants who are interviewed will be hired. The hiring process must meet the following constraints: If Gunsel is interviewed, Jackson is interviewed. If Jackson is interviewed, Lee is interviewed. Fu is interviewed. Fu is not hired, unless Kowalski is interviewed. Kowalski is not hired, unless Mayer is interviewed. If Mayer is hired, and Lee is interviewed, Ordoveza is hired.

Question: If Ordoveza is not interviewed, and if exactly four applicants are hired, then which one of the following must be false?
Options:
Lee is hired.
Mayer is hired.
Jackson is interviewed.
Kowalski is interviewed.
Gunsel is interviewed.
Correct option (0-indexed): 1
Exactly six of seven researchers—three anthropologists: Franklin, Jones, and Marquez; and four linguists: Neil, Osborne, Rice, and Samuels—will be included in two three-person teams—team 1 and team 2. No researcher will be included in more than one team. Each team must include at least one anthropologist and at least one linguist. The teams' composition must conform to the following conditions: Neither team includes both Franklin and Samuels. Neither team includes both Neil and Rice. If a team includes Marquez, it includes neither Rice nor Samuels. If team 1 includes Jones, team 2 includes Rice.

Question: Which one of the following could be the list of the researchers on the two teams?
Options:
team 1: Franklin, Marquez, Osborne team 2: Jones, Neil, Rice
team 1: Franklin, Neil, Samuels team 2: Jones, Osborne, Rice
team 1: Franklin, Osborne, Rice team 2: Jones, Neil, Samuels
team 1: Jones, Marquez, Neil team 2: Osborne, Rice, Samuels
team 1: Jones, Osborne, Rice team 2: Franklin, Marquez, Neil
Correct option (0-indexed): 2
Exactly six of seven researchers—three anthropologists: Franklin, Jones, and Marquez; and four linguists: Neil, Osborne, Rice, and Samuels—will be included in two three-person teams—team 1 and team 2. No researcher will be included in more than one team. Each team must include at least one anthropologist and at least one linguist. The teams' composition must conform to the following conditions: Neither team includes both Franklin and Samuels. Neither team includes both Neil and Rice. If a team includes Marquez, it includes neither Rice nor Samuels. If team 1 includes Jones, team 2 includes Rice.

Question: If Jones is on team 1, which one of the following is a pair of researchers that must be on team 2 together?
Options:
Franklin and Rice
Marquez and Osborne
Neil and Osborne
Osborne and Samuels
Rice and Samuels
Correct option (0-indexed): 0
Exactly six of seven researchers—three anthropologists: Franklin, Jones, and Marquez; and four linguists: Neil, Osborne, Rice, and Samuels—will be included in two three-person teams—team 1 and team 2. No researcher will be included in more than one team. Each team must include at least one anthropologist and at least one linguist. The teams' composition must conform to the following conditions: Neither team includes both Franklin and Samuels. Neither team includes both Neil and Rice. If a team includes Marquez, it includes neither Rice nor Samuels. If team 1 includes Jones, team 2 includes Rice.

Question: If Neil is on team 1, which one of the following is a pair of researchers that could be on team 1 together with Neil?
Options:
Franklin and Jones
Jones and Osborne
Jones and Rice
Jones and Samuels
Osborne and Samuels
Correct option (0-indexed): 3
Exactly six of seven researchers—three anthropologists: Franklin, Jones, and Marquez; and four linguists: Neil, Osborne, Rice, and Samuels—will be included in two three-person teams—team 1 and team 2. No researcher will be included in more than one team. Each team must include at least one anthropologist and at least one linguist. The teams' composition must conform to the following conditions: Neither team includes both Franklin and Samuels. Neither team includes both Neil and Rice. If a team includes Marquez, it includes neither Rice nor Samuels. If team 1 includes Jones, team 2 includes Rice.

Question: If Franklin is on the same team as Marquez, which one of the following could be true?
Options:
Jones is on team 1.
Rice is on team 1.
Samuels is on team 2.
Both Neil and Osborne are on team 1.
Both Neil and Osborne are on team 2.
Correct option (0-indexed): 2
Exactly six of seven researchers—three anthropologists: Franklin, Jones, and Marquez; and four linguists: Neil, Osborne, Rice, and Samuels—will be included in two three-person teams—team 1 and team 2. No researcher will be included in more than one team. Each team must include at least one anthropologist and at least one linguist. The teams' composition must conform to the following conditions: Neither team includes both Franklin and Samuels. Neither team includes both Neil and Rice. If a team includes Marquez, it includes neither Rice nor Samuels. If team 1 includes Jones, team 2 includes Rice.

Question: Each of the following is a pair of researchers that could be on team 2 together EXCEPT:
Options:
Franklin and Jones
Franklin and Marquez
Franklin and Rice
Jones and Marquez
Jones and Rice
Correct option (0-indexed): 1
Exactly six of seven researchers—three anthropologists: Franklin, Jones, and Marquez; and four linguists: Neil, Osborne, Rice, and Samuels—will be included in two three-person teams—team 1 and team 2. No researcher will be included in more than one team. Each team must include at least one anthropologist and at least one linguist. The teams' composition must conform to the following conditions: Neither team includes both Franklin and Samuels. Neither team includes both Neil and Rice. If a team includes Marquez, it includes neither Rice nor Samuels. If team 1 includes Jones, team 2 includes Rice.

Question: Which one of the following could be true?
Options:
Franklin is on team 1 and Neil is on team 2.
Franklin is on team 2 and Jones is not on any team.
Franklin is on team 2 and Marquez is on team 2.
Franklin is not on any team and Jones is on team 1.
Jones is on team 1 and Neil is on team 2.
Correct option (0-indexed): 0
Exactly six of seven researchers—three anthropologists: Franklin, Jones, and Marquez; and four linguists: Neil, Osborne, Rice, and Samuels—will be included in two three-person teams—team 1 and team 2. No researcher will be included in more than one team. Each team must include at least one anthropologist and at least one linguist. The teams' composition must conform to the following conditions: Neither team includes both Franklin and Samuels. Neither team includes both Neil and Rice. If a team includes Marquez, it includes neither Rice nor Samuels. If team 1 includes Jones, team 2 includes Rice.

Question: If Marquez is on team 2, which one of the following must also be on team 2?
Options:
Franklin
Jones
Osborne
Rice
Samuels
Correct option (0-indexed): 1
Five candidates for mayor—Q, R, S, T, and U—will each speak exactly once at each of three town meetings—meetings 1, 2, and 3. At each meeting, each candidate will speak in one of five consecutive time slots. No two candidates will speak in the same time slot as each other at any meeting. The order in which the candidates will speak will meet the following conditions: Each candidate must speak either first or second at at least one of the meetings. Any candidate who speaks fifth at any of the meetings must speak first at at least one of the other meetings. No candidate can speak fourth at more than one of the meetings.

Question: Which one of the following could be the order, from first to fifth, in which the candidates speak at the meetings?
Options:
meeting 1: Q, U, R, T, S meeting 2: S, T, R, U, Q meeting 3: T, U, Q, R, S
meeting 1: R, S, Q, T, U meeting 2: U, T, S, R, Q meeting 3: Q, R, T, U, S
meeting 1: S, Q, U, T, R meeting 2: U, T, Q, R, S meeting 3: R, Q, S, T, U
meeting 1: T, R, S, U, Q meeting 2: Q, R, S, T, U meeting 3: U, S, R, Q, T
meeting 1: U, T, R, S, Q meeting 2: Q, R, S, T, U meeting 3: S, T, U, Q, R
Correct option (0-indexed): 3
Five candidates for mayor—Q, R, S, T, and U—will each speak exactly once at each of three town meetings—meetings 1, 2, and 3. At each meeting, each candidate will speak in one of five consecutive time slots. No two candidates will speak in the same time slot as each other at any meeting. The order in which the candidates will speak will meet the following conditions: Each candidate must speak either first or second at at least one of the meetings. Any candidate who speaks fifth at any of the meetings must speak first at at least one of the other meetings. No candidate can speak fourth at more than one of the meetings.

Question: If R speaks second at meeting 2 and first at meeting 3, which one of the following is a complete and accurate list of those time slots any one of which could be the time slot in which R speaks at meeting 1?
Options:
fourth, fifth
first, second, fifth
second, third, fifth
third, fourth, fifth
second, third, fourth, fifth
Correct option (0-indexed): 3
Five candidates for mayor—Q, R, S, T, and U—will each speak exactly once at each of three town meetings—meetings 1, 2, and 3. At each meeting, each candidate will speak in one of five consecutive time slots. No two candidates will speak in the same time slot as each other at any meeting. The order in which the candidates will speak will meet the following conditions: Each candidate must speak either first or second at at least one of the meetings. Any candidate who speaks fifth at any of the meetings must speak first at at least one of the other meetings. No candidate can speak fourth at more than one of the meetings.

Question: If the order in which the candidates speak at meeting 1 is R, U, S, T, Q, and the order in which they speak at meeting 2 is Q, R, U, S, T, which one of the following could be true of meeting 3?
Options:
Q speaks first.
R speaks third.
S speaks first.
T speaks second.
U speaks fifth.
Correct option (0-indexed): 1
Five candidates for mayor—Q, R, S, T, and U—will each speak exactly once at each of three town meetings—meetings 1, 2, and 3. At each meeting, each candidate will speak in one of five consecutive time slots. No two candidates will speak in the same time slot as each other at any meeting. The order in which the candidates will speak will meet the following conditions: Each candidate must speak either first or second at at least one of the meetings. Any candidate who speaks fifth at any of the meetings must speak first at at least one of the other meetings. No candidate can speak fourth at more than one of the meetings.

Question: If R speaks first at meetings 1 and 2, and S speaks first at meeting 3, which one of the following must be true?
Options:
R speaks second at meeting 3.
R speaks fourth at meeting 3.
S speaks second at at least one of the meetings.
S speaks fifth at exactly one of the meetings.
S speaks fifth at exactly two of the meetings.
Correct option (0-indexed): 4
Five candidates for mayor—Q, R, S, T, and U—will each speak exactly once at each of three town meetings—meetings 1, 2, and 3. At each meeting, each candidate will speak in one of five consecutive time slots. No two candidates will speak in the same time slot as each other at any meeting. The order in which the candidates will speak will meet the following conditions: Each candidate must speak either first or second at at least one of the meetings. Any candidate who speaks fifth at any of the meetings must speak first at at least one of the other meetings. No candidate can speak fourth at more than one of the meetings.

Question: It could be true that at all three meetings T speaks
Options:
first
second
in some time slot after the time slot in which R speaks
in some time slot after the time slots in which S and U speak
in some time slot before the time slots in which R and U speak
Correct option (0-indexed): 2
Five candidates for mayor—Q, R, S, T, and U—will each speak exactly once at each of three town meetings—meetings 1, 2, and 3. At each meeting, each candidate will speak in one of five consecutive time slots. No two candidates will speak in the same time slot as each other at any meeting. The order in which the candidates will speak will meet the following conditions: Each candidate must speak either first or second at at least one of the meetings. Any candidate who speaks fifth at any of the meetings must speak first at at least one of the other meetings. No candidate can speak fourth at more than one of the meetings.

Question: If S, T, and U speak second at meetings 1, 2, and 3, respectively, which one of the following must be true?
Options:
The fifth speaker at at least one of the meetings is either Q or R.
Either Q speaks first at exactly two of the meetings or else R does so.
Neither S nor T speaks fifth at any of the meetings.
Q speaks third at one of the meetings, and R speaks third at another of the meetings.
Q speaks fourth at one of the meetings, and R speaks fourth at another of the meetings.
Correct option (0-indexed): 0
In a certain recipe contest, each contestant submits two recipes, one for an appetizer and one for a main dish. Together the two recipes must include exactly seven flavorings—fenugreek, ginger, lemongrass, nutmeg, paprika, saffron, and turmeric—with no flavoring included in more than one of the two recipes. Each contestant's recipes must satisfy the following conditions: The appetizer recipe includes at most three of the flavorings. Fenugreek is not included in the same recipe as nutmeg. Saffron is not included in the same recipe as turmeric. Ginger is included in the same recipe as nutmeg.

Question: Which one of the following could be a complete and accurate list of the flavorings included in one contestant's main-dish recipe?
Options:
fenugreek, lemongrass, saffron
fenugreek, ginger, nutmeg, turmeric
ginger, lemongrass, nutmeg, paprika
ginger, nutmeg, paprika, turmeric
lemongrass, nutmeg, saffron, turmeric
Correct option (0-indexed): 3
In a certain recipe contest, each contestant submits two recipes, one for an appetizer and one for a main dish. Together the two recipes must include exactly seven flavorings—fenugreek, ginger, lemongrass, nutmeg, paprika, saffron, and turmeric—with no flavoring included in more than one of the two recipes. Each contestant's recipes must satisfy the following conditions: The appetizer recipe includes at most three of the flavorings. Fenugreek is not included in the same recipe as nutmeg. Saffron is not included in the same recipe as turmeric. Ginger is included in the same recipe as nutmeg.

Question: If a contestant's appetizer recipe does not include fenugreek, then the contestant's appetizer recipe must include
Options:
ginger
lemongrass
paprika
saffron
turmeric
Correct option (0-indexed): 0
In a certain recipe contest, each contestant submits two recipes, one for an appetizer and one for a main dish. Together the two recipes must include exactly seven flavorings—fenugreek, ginger, lemongrass, nutmeg, paprika, saffron, and turmeric—with no flavoring included in more than one of the two recipes. Each contestant's recipes must satisfy the following conditions: The appetizer recipe includes at most three of the flavorings. Fenugreek is not included in the same recipe as nutmeg. Saffron is not included in the same recipe as turmeric. Ginger is included in the same recipe as nutmeg.

Question: Which one of the following could be a list of all of the flavorings included in one contestant's appetizer recipe?
Options:
fenugreek, saffron
ginger, nutmeg
fenugreek, nutmeg, turmeric
lemongrass, nutmeg, saffron
fenugreek, lemongrass, paprika, turmeric
Correct option (0-indexed): 0
In a certain recipe contest, each contestant submits two recipes, one for an appetizer and one for a main dish. Together the two recipes must include exactly seven flavorings—fenugreek, ginger, lemongrass, nutmeg, paprika, saffron, and turmeric—with no flavoring included in more than one of the two recipes. Each contestant's recipes must satisfy the following conditions: The appetizer recipe includes at most three of the flavorings. Fenugreek is not included in the same recipe as nutmeg. Saffron is not included in the same recipe as turmeric. Ginger is included in the same recipe as nutmeg.

Question: If a contestant includes lemongrass in the same recipe as paprika, which one of the following is a flavoring that must be included in the contestant's main-dish recipe?
Options:
ginger
lemongrass
nutmeg
saffron
turmeric
Correct option (0-indexed): 1
In a certain recipe contest, each contestant submits two recipes, one for an appetizer and one for a main dish. Together the two recipes must include exactly seven flavorings—fenugreek, ginger, lemongrass, nutmeg, paprika, saffron, and turmeric—with no flavoring included in more than one of the two recipes. Each contestant's recipes must satisfy the following conditions: The appetizer recipe includes at most three of the flavorings. Fenugreek is not included in the same recipe as nutmeg. Saffron is not included in the same recipe as turmeric. Ginger is included in the same recipe as nutmeg.

Question: If the condition that requires ginger to be included in the same recipe as nutmeg is suspended but all of the other original conditions remain in effect, then which one of the following could be a list of all of the flavorings included in one contestant's main-dish recipe?
Options:
ginger, lemongrass, nutmeg, paprika
ginger, lemongrass, paprika, turmeric
fenugreek, ginger, lemongrass, paprika, saffron
fenugreek, ginger, lemongrass, saffron, turmeric
fenugreek, lemongrass, nutmeg, paprika, saffron
Correct option (0-indexed): 2
Seven singers—Jamie, Ken, Lalitha, Maya, Norton, Olive, and Patrick—will be scheduled to perform in the finals of a singing competition. During the evening of the competition, each singer, performing alone, will give exactly one performance. The schedule for the evening must conform to the following requirements: Jamie performs immediately after Ken. Patrick performs at some time after Maya. Lalitha performs third only if Norton performs fifth. If Patrick does not perform second, he performs fifth.

Question: Which one of the following is an acceptable schedule for the evening's performers, from first through seventh?
Options:
Ken, Jamie, Maya, Lalitha, Patrick, Norton, Olive
Lalitha, Patrick, Norton, Olive, Maya, Ken, Jamie
Norton, Olive, Ken, Jamie, Maya, Patrick, Lalitha
Olive, Maya, Ken, Lalitha, Patrick, Norton, Jamie
Olive, Maya, Lalitha, Norton, Patrick, Ken, Jamie
Correct option (0-indexed): 0
Seven singers—Jamie, Ken, Lalitha, Maya, Norton, Olive, and Patrick—will be scheduled to perform in the finals of a singing competition. During the evening of the competition, each singer, performing alone, will give exactly one performance. The schedule for the evening must conform to the following requirements: Jamie performs immediately after Ken. Patrick performs at some time after Maya. Lalitha performs third only if Norton performs fifth. If Patrick does not perform second, he performs fifth.

Question: If Lalitha is scheduled for the third performance, which one of the following must be scheduled for the sixth performance?
Options:
Jamie
Ken
Norton
Olive
Patrick
Correct option (0-indexed): 1
Seven singers—Jamie, Ken, Lalitha, Maya, Norton, Olive, and Patrick—will be scheduled to perform in the finals of a singing competition. During the evening of the competition, each singer, performing alone, will give exactly one performance. The schedule for the evening must conform to the following requirements: Jamie performs immediately after Ken. Patrick performs at some time after Maya. Lalitha performs third only if Norton performs fifth. If Patrick does not perform second, he performs fifth.

Question: If Norton is scheduled for the fifth performance, which one of the following could be true?
Options:
Jamie is scheduled for the sixth performance.
Ken is scheduled for the second performance.
Lalitha is scheduled for the fourth performance.
Maya is scheduled for the third performance.
Olive is scheduled for the first performance.
Correct option (0-indexed): 2
Seven singers—Jamie, Ken, Lalitha, Maya, Norton, Olive, and Patrick—will be scheduled to perform in the finals of a singing competition. During the evening of the competition, each singer, performing alone, will give exactly one performance. The schedule for the evening must conform to the following requirements: Jamie performs immediately after Ken. Patrick performs at some time after Maya. Lalitha performs third only if Norton performs fifth. If Patrick does not perform second, he performs fifth.

Question: If Maya is scheduled for the second performance, which one of the following could be true?
Options:
Jamie is scheduled for the sixth performance.
Ken is scheduled for the fourth performance.
Lalitha is scheduled for the third performance.
Norton is scheduled for the fifth performance.
Olive is scheduled for the fourth performance.
Correct option (0-indexed): 4
Seven singers—Jamie, Ken, Lalitha, Maya, Norton, Olive, and Patrick—will be scheduled to perform in the finals of a singing competition. During the evening of the competition, each singer, performing alone, will give exactly one performance. The schedule for the evening must conform to the following requirements: Jamie performs immediately after Ken. Patrick performs at some time after Maya. Lalitha performs third only if Norton performs fifth. If Patrick does not perform second, he performs fifth.

Question: If Jamie's performance is scheduled to be immediately before Lalitha's performance, Jamie's performance CANNOT be scheduled to be
Options:
second
third
fourth
fifth
sixth
Correct option (0-indexed): 0
At a small press, six textbooks, three introductory—F, G, and H—and three advanced—X, Y, and Z—will each be evaluated once by the editor, Juarez, and once by the publisher, Rosenberg, during six consecutive weeks—week 1 through week 6. Each evaluator evaluates exactly one textbook per week. No textbook will be evaluated by Juarez and Rosenberg during the same week. The following additional constraints apply: Rosenberg cannot evaluate any introductory textbook until Juarez has evaluated that textbook. Juarez cannot evaluate any advanced textbook until Rosenberg has evaluated that textbook. Rosenberg cannot evaluate any two introductory textbooks consecutively. Juarez must evaluate X during week 4.

Question: Which one of the following is an acceptable evaluation schedule, with the textbooks listed in order of evaluation from week 1 through week 6?
Options:
Juarez: F, G, X, Z, H, Y Rosenberg: X, F, Z, G, Y, H
Juarez: F, Y, G, X, H, Z Rosenberg Y, F, X, G, Z, H
Juarez: G, H, F, X, Y, Z Rosenberg: X, G, H, Y, Z, F
Juarez: G, Z, F, X, H, Y Rosenberg: Z, F, X, G, Y, H
Juarez: H, Y, F, X, G, Z Rosenberg: X, H, Z, F, Y, G
Correct option (0-indexed): 1
At a small press, six textbooks, three introductory—F, G, and H—and three advanced—X, Y, and Z—will each be evaluated once by the editor, Juarez, and once by the publisher, Rosenberg, during six consecutive weeks—week 1 through week 6. Each evaluator evaluates exactly one textbook per week. No textbook will be evaluated by Juarez and Rosenberg during the same week. The following additional constraints apply: Rosenberg cannot evaluate any introductory textbook until Juarez has evaluated that textbook. Juarez cannot evaluate any advanced textbook until Rosenberg has evaluated that textbook. Rosenberg cannot evaluate any two introductory textbooks consecutively. Juarez must evaluate X during week 4.

Question: If Juarez evaluates H during week 3 and Rosenberg evaluates G during week 6, which one of the following must be true?
Options:
Juarez evaluates F during week 1.
Juarez evaluates G during week 2.
Juarez evaluates Z during week 6.
Rosenberg evaluates X during week 1.
Rosenberg evaluates Y during week 5.
Correct option (0-indexed): 0
At a small press, six textbooks, three introductory—F, G, and H—and three advanced—X, Y, and Z—will each be evaluated once by the editor, Juarez, and once by the publisher, Rosenberg, during six consecutive weeks—week 1 through week 6. Each evaluator evaluates exactly one textbook per week. No textbook will be evaluated by Juarez and Rosenberg during the same week. The following additional constraints apply: Rosenberg cannot evaluate any introductory textbook until Juarez has evaluated that textbook. Juarez cannot evaluate any advanced textbook until Rosenberg has evaluated that textbook. Rosenberg cannot evaluate any two introductory textbooks consecutively. Juarez must evaluate X during week 4.

Question: If Juarez evaluates Z during week 2, then Rosenberg must evaluate which one of the following textbooks during week 5?
Options:
F
H
X
Y
Z
Correct option (0-indexed): 3
At a small press, six textbooks, three introductory—F, G, and H—and three advanced—X, Y, and Z—will each be evaluated once by the editor, Juarez, and once by the publisher, Rosenberg, during six consecutive weeks—week 1 through week 6. Each evaluator evaluates exactly one textbook per week. No textbook will be evaluated by Juarez and Rosenberg during the same week. The following additional constraints apply: Rosenberg cannot evaluate any introductory textbook until Juarez has evaluated that textbook. Juarez cannot evaluate any advanced textbook until Rosenberg has evaluated that textbook. Rosenberg cannot evaluate any two introductory textbooks consecutively. Juarez must evaluate X during week 4.

Question: Which one of the following must be true?
Options:
Rosenberg evaluates H during week 6.
Rosenberg evaluates an advanced textbook during week 3.
Juarez evaluates an advanced textbook during week 2.
Juarez evaluates Y before evaluating G.
Juarez does not evaluate any two introductory textbooks consecutively.
Correct option (0-indexed): 1
At a small press, six textbooks, three introductory—F, G, and H—and three advanced—X, Y, and Z—will each be evaluated once by the editor, Juarez, and once by the publisher, Rosenberg, during six consecutive weeks—week 1 through week 6. Each evaluator evaluates exactly one textbook per week. No textbook will be evaluated by Juarez and Rosenberg during the same week. The following additional constraints apply: Rosenberg cannot evaluate any introductory textbook until Juarez has evaluated that textbook. Juarez cannot evaluate any advanced textbook until Rosenberg has evaluated that textbook. Rosenberg cannot evaluate any two introductory textbooks consecutively. Juarez must evaluate X during week 4.

Question: If Rosenberg evaluates X during week 1 and F during week 2, which one of the following could be true?
Options:
X is the third of the advanced textbooks to be evaluated by Juarez.
Y is the first of the advanced textbooks to be evaluated by Juarez.
Juarez does not evaluate any two introductory textbooks in a row.
Juarez evaluates G during week 5.
Juarez evaluates Z during week 6.
Correct option (0-indexed): 4