benlipkin/arlsat huggingface dataset:
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 a complete and accurate list of those weeks during which Juarez must evaluate an introductory textbook?
Options:
week 1
week 6
week 1, week 5
week 1, week 2, week 3
week 1, week 3, 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: Which one of the following could be true?
Options:
Juarez evaluates F during week 6.
Juarez evaluates Z during week 1.
Rosenberg evaluates F during week 3.
Rosenberg evaluates H during week 2.
Rosenberg evaluates X during week 5.
Correct option (0-indexed): 3
Nine different treatments are available for a certain illness: three antibiotics—F, G, and H—three dietary regimens—M, N, and O—and three physical therapies—U, V, and W. For each case of the illness, a doctor will prescribe exactly five of the treatments, in accordance with the following conditions: If two of the antibiotics are prescribed, the remaining antibiotic cannot be prescribed. There must be exactly one dietary regimen prescribed. If O is not prescribed, F cannot be prescribed. If W is prescribed, F cannot be prescribed. G cannot be prescribed if both N and U are prescribed. V cannot be prescribed unless both H and M are prescribed.

Question: Which one of the following could be the five treatments prescribed for a given case?
Options:
F, G, H, M, V
F, G, M, O, V
F, H, M, O, W
G, H, N, U, W
G, H, O, U, W
Correct option (0-indexed): 4
Nine different treatments are available for a certain illness: three antibiotics—F, G, and H—three dietary regimens—M, N, and O—and three physical therapies—U, V, and W. For each case of the illness, a doctor will prescribe exactly five of the treatments, in accordance with the following conditions: If two of the antibiotics are prescribed, the remaining antibiotic cannot be prescribed. There must be exactly one dietary regimen prescribed. If O is not prescribed, F cannot be prescribed. If W is prescribed, F cannot be prescribed. G cannot be prescribed if both N and U are prescribed. V cannot be prescribed unless both H and M are prescribed.

Question: Which one of the following could be the antibiotics and physical therapies prescribed for a given case?
Options:
F, G, H, W
F, G, U, V
F, U, V, W
G, U, V, W
H, U, V, W
Correct option (0-indexed): 4
Nine different treatments are available for a certain illness: three antibiotics—F, G, and H—three dietary regimens—M, N, and O—and three physical therapies—U, V, and W. For each case of the illness, a doctor will prescribe exactly five of the treatments, in accordance with the following conditions: If two of the antibiotics are prescribed, the remaining antibiotic cannot be prescribed. There must be exactly one dietary regimen prescribed. If O is not prescribed, F cannot be prescribed. If W is prescribed, F cannot be prescribed. G cannot be prescribed if both N and U are prescribed. V cannot be prescribed unless both H and M are prescribed.

Question: If O is prescribed for a given case, which one of the following is a pair of treatments both of which must also be prescribed for that case?
Options:
F, M
G, V
N, U
U, V
U, W
Correct option (0-indexed): 4
Nine different treatments are available for a certain illness: three antibiotics—F, G, and H—three dietary regimens—M, N, and O—and three physical therapies—U, V, and W. For each case of the illness, a doctor will prescribe exactly five of the treatments, in accordance with the following conditions: If two of the antibiotics are prescribed, the remaining antibiotic cannot be prescribed. There must be exactly one dietary regimen prescribed. If O is not prescribed, F cannot be prescribed. If W is prescribed, F cannot be prescribed. G cannot be prescribed if both N and U are prescribed. V cannot be prescribed unless both H and M are prescribed.

Question: If G is prescribed for a given case, which one of the following is a pair of treatments both of which could also be prescribed for that case?
Options:
F, M
F, N
N, V
O, V
V, W
Correct option (0-indexed): 4
Nine different treatments are available for a certain illness: three antibiotics—F, G, and H—three dietary regimens—M, N, and O—and three physical therapies—U, V, and W. For each case of the illness, a doctor will prescribe exactly five of the treatments, in accordance with the following conditions: If two of the antibiotics are prescribed, the remaining antibiotic cannot be prescribed. There must be exactly one dietary regimen prescribed. If O is not prescribed, F cannot be prescribed. If W is prescribed, F cannot be prescribed. G cannot be prescribed if both N and U are prescribed. V cannot be prescribed unless both H and M are prescribed.

Question: Which one of the following is a list of three treatments that could be prescribed together for a given case?
Options:
F, M, U
F, O, W
G, N, V
G, V, W
H, N, V
Correct option (0-indexed): 3
Nine different treatments are available for a certain illness: three antibiotics—F, G, and H—three dietary regimens—M, N, and O—and three physical therapies—U, V, and W. For each case of the illness, a doctor will prescribe exactly five of the treatments, in accordance with the following conditions: If two of the antibiotics are prescribed, the remaining antibiotic cannot be prescribed. There must be exactly one dietary regimen prescribed. If O is not prescribed, F cannot be prescribed. If W is prescribed, F cannot be prescribed. G cannot be prescribed if both N and U are prescribed. V cannot be prescribed unless both H and M are prescribed.

Question: Which one of the following treatments CANNOT be prescribed for any case?
Options:
G
M
N
U
W
Correct option (0-indexed): 2
The members of two committees, a planting committee and a trails committee, are to be selected from among seven volunteers—F, G, H, J, K, L, and M. The following conditions govern the composition of the committees: Each committee must have at least three members. F cannot be on the same committee as K. If K is on a committee, J must also be on that committee. M must be on at least one of the committees. The two committees must have at least one member in common.

Question: Which one of the following represents an acceptable selection of volunteers for the committees?
Options:
planting: F, G, H; trails: G, J, K, L
planting: F, H, J; trails: G, H, L, M
planting: F, H, M; trails: G, K, L, M
planting: F, G, L, M; trails: F, H
planting: F, H, J, K; trails: H, L, M
Correct option (0-indexed): 1
The members of two committees, a planting committee and a trails committee, are to be selected from among seven volunteers—F, G, H, J, K, L, and M. The following conditions govern the composition of the committees: Each committee must have at least three members. F cannot be on the same committee as K. If K is on a committee, J must also be on that committee. M must be on at least one of the committees. The two committees must have at least one member in common.

Question: If the planting committee consists of F, H, L, and M, and if the trails committee consists of G, H, and J, then K could replace which one of the following committee members on a committee without violating any of the conditions governing the composition of the committees?
Options:
F
G
H
L
M
Correct option (0-indexed): 1
The members of two committees, a planting committee and a trails committee, are to be selected from among seven volunteers—F, G, H, J, K, L, and M. The following conditions govern the composition of the committees: Each committee must have at least three members. F cannot be on the same committee as K. If K is on a committee, J must also be on that committee. M must be on at least one of the committees. The two committees must have at least one member in common.

Question: If the only members of the planting committee are G, H, and L and if the two committees are to have as many members in common as the conditions allow, then which one of the following must be true?
Options:
The trails committee and the planting committee have exactly one member in common.
The trails committee and the planting committee have exactly two members in common.
The trails committee and the planting committee have an equal number of members.
The trails committee has at least one more member than the planting committee.
The planting committee has exactly two more members than the trails committee.
Correct option (0-indexed): 3
The members of two committees, a planting committee and a trails committee, are to be selected from among seven volunteers—F, G, H, J, K, L, and M. The following conditions govern the composition of the committees: Each committee must have at least three members. F cannot be on the same committee as K. If K is on a committee, J must also be on that committee. M must be on at least one of the committees. The two committees must have at least one member in common.

Question: If K is on both committees and L is also on both committees and if the planting committee has exactly three members, then which one of the following must be true?
Options:
F is on the planting committee.
F is on the trails committee.
G is on the planting committee.
M is on the planting committee.
M is on the trails committee.
Correct option (0-indexed): 4
The members of two committees, a planting committee and a trails committee, are to be selected from among seven volunteers—F, G, H, J, K, L, and M. The following conditions govern the composition of the committees: Each committee must have at least three members. F cannot be on the same committee as K. If K is on a committee, J must also be on that committee. M must be on at least one of the committees. The two committees must have at least one member in common.

Question: The largest number of members that the planting committee and the trails committee could have in common is
Options:
three
four
five
six
seven
Correct option (0-indexed): 3
Exactly six tourists—Harry, Irene, Klaus, Laura, Michael, Norma—are to be assigned to four guides: Valois, Xerxes, Yossarian, Zalamea. Each tourist is assigned to exactly one guide, with at least one tourist assigned to each guide. Valois speaks only French. Xerxes speaks only Turkish and Spanish. Yossarian speaks only French and Turkish. Zalamea speaks only Spanish and Russian. Each tourist speaks exactly one of the languages spoken by his or her guide and speaks no other language. The following rules govern the assignment of the tourists to the guides: At least Harry and Irene are assigned to Yossarian. At least Laura is assigned to Zalamea. If Klaus is assigned to Xerxes, then Michael speaks French.

Question: Each of the following could be true EXCEPT:
Options:
Both Klaus and Harry speak Turkish.
Both Klaus and Michael speak French.
Both Klaus and Michael speak Russian.
Both Klaus and Norma speak French.
Both Klaus and Norma speak Spanish.
Correct option (0-indexed): 2
Exactly six tourists—Harry, Irene, Klaus, Laura, Michael, Norma—are to be assigned to four guides: Valois, Xerxes, Yossarian, Zalamea. Each tourist is assigned to exactly one guide, with at least one tourist assigned to each guide. Valois speaks only French. Xerxes speaks only Turkish and Spanish. Yossarian speaks only French and Turkish. Zalamea speaks only Spanish and Russian. Each tourist speaks exactly one of the languages spoken by his or her guide and speaks no other language. The following rules govern the assignment of the tourists to the guides: At least Harry and Irene are assigned to Yossarian. At least Laura is assigned to Zalamea. If Klaus is assigned to Xerxes, then Michael speaks French.

Question: Which one of the following must be true?
Options:
Zalamea is assigned fewer than three of the tourists.
Xerxes is assigned fewer than two of the tourists.
Yossarian is assigned exactly two of the tourists.
Valois is assigned exactly one of the tourists.
Zalamea is assigned exactly one of the tourists.
Correct option (0-indexed): 0
Exactly six tourists—Harry, Irene, Klaus, Laura, Michael, Norma—are to be assigned to four guides: Valois, Xerxes, Yossarian, Zalamea. Each tourist is assigned to exactly one guide, with at least one tourist assigned to each guide. Valois speaks only French. Xerxes speaks only Turkish and Spanish. Yossarian speaks only French and Turkish. Zalamea speaks only Spanish and Russian. Each tourist speaks exactly one of the languages spoken by his or her guide and speaks no other language. The following rules govern the assignment of the tourists to the guides: At least Harry and Irene are assigned to Yossarian. At least Laura is assigned to Zalamea. If Klaus is assigned to Xerxes, then Michael speaks French.

Question: Each of the following could be true of the assignment of tourists to guides EXCEPT:
Options:
It assigns Klaus to Valois and Michael to Xerxes.
It assigns Klaus to Yossarian and Norma to Zalamea.
It assigns Laura to Zalamea and Michael to Zalamea.
It assigns Michael to Valois and Klaus to Zalamea.
It assigns Michael to Xerxes and Klaus to Zalamea.
Correct option (0-indexed): 1
Exactly six tourists—Harry, Irene, Klaus, Laura, Michael, Norma—are to be assigned to four guides: Valois, Xerxes, Yossarian, Zalamea. Each tourist is assigned to exactly one guide, with at least one tourist assigned to each guide. Valois speaks only French. Xerxes speaks only Turkish and Spanish. Yossarian speaks only French and Turkish. Zalamea speaks only Spanish and Russian. Each tourist speaks exactly one of the languages spoken by his or her guide and speaks no other language. The following rules govern the assignment of the tourists to the guides: At least Harry and Irene are assigned to Yossarian. At least Laura is assigned to Zalamea. If Klaus is assigned to Xerxes, then Michael speaks French.

Question: If Klaus and Laura speak the same language as each other, then which one of the following must be true?
Options:
At least one of Michael and Norma speaks Spanish.
At least two tourists speak Russian.
Klaus and Laura speak Russian.
At least two tourists speak French.
At least one of Michael and Norma speaks French.
Correct option (0-indexed): 4
Exactly six tourists—Harry, Irene, Klaus, Laura, Michael, Norma—are to be assigned to four guides: Valois, Xerxes, Yossarian, Zalamea. Each tourist is assigned to exactly one guide, with at least one tourist assigned to each guide. Valois speaks only French. Xerxes speaks only Turkish and Spanish. Yossarian speaks only French and Turkish. Zalamea speaks only Spanish and Russian. Each tourist speaks exactly one of the languages spoken by his or her guide and speaks no other language. The following rules govern the assignment of the tourists to the guides: At least Harry and Irene are assigned to Yossarian. At least Laura is assigned to Zalamea. If Klaus is assigned to Xerxes, then Michael speaks French.

Question: If Laura and Norma speak the same language as each other, then the maximum number of the tourists who could speak Turkish is
Options:
two
three
four
five
six
Correct option (0-indexed): 1
Exactly six tourists—Harry, Irene, Klaus, Laura, Michael, Norma—are to be assigned to four guides: Valois, Xerxes, Yossarian, Zalamea. Each tourist is assigned to exactly one guide, with at least one tourist assigned to each guide. Valois speaks only French. Xerxes speaks only Turkish and Spanish. Yossarian speaks only French and Turkish. Zalamea speaks only Spanish and Russian. Each tourist speaks exactly one of the languages spoken by his or her guide and speaks no other language. The following rules govern the assignment of the tourists to the guides: At least Harry and Irene are assigned to Yossarian. At least Laura is assigned to Zalamea. If Klaus is assigned to Xerxes, then Michael speaks French.

Question: If exactly two tourists are assigned to Xerxes, then which one of the following could be true?
Options:
Norma speaks Russian and Laura speaks Russian.
Norma speaks French and Michael speaks French.
Norma speaks French and Klaus speaks Turkish.
Michael speaks Spanish and Klaus speaks Spanish.
Michael speaks French and Klaus speaks Spanish.
Correct option (0-indexed): 4
Exactly six tourists—Harry, Irene, Klaus, Laura, Michael, Norma—are to be assigned to four guides: Valois, Xerxes, Yossarian, Zalamea. Each tourist is assigned to exactly one guide, with at least one tourist assigned to each guide. Valois speaks only French. Xerxes speaks only Turkish and Spanish. Yossarian speaks only French and Turkish. Zalamea speaks only Spanish and Russian. Each tourist speaks exactly one of the languages spoken by his or her guide and speaks no other language. The following rules govern the assignment of the tourists to the guides: At least Harry and Irene are assigned to Yossarian. At least Laura is assigned to Zalamea. If Klaus is assigned to Xerxes, then Michael speaks French.

Question: If Harry, Irene, Michael, and Norma all speak the same language as each other, then which one of the following could be true?
Options:
Klaus speaks Russian.
Exactly two of the tourists speak Russian.
Exactly three of the tourists speak Spanish.
Exactly two of the tourists speak Turkish.
Klaus speaks French.
Correct option (0-indexed): 4
Each of six people—Kim, Lina, Maricella, Oliver, Paulo, and Shigeru—plays exactly one of two sports—golf, and tennis. If a sport is played by more than one of the six people, then the people who play that sport are ranked in order of ability from highest to lowest, with no ties. The following conditions must apply: Oliver plays tennis. Lina plays golf. There is no golf player ranked higher than Lina. If Maricella plays golf, then Paulo and Shigeru play golf, Paulo ranking lower than Maricella but higher than Shigeru. If Maricella plays tennis, then Shigeru plays tennis, Shigeru ranking lower than Oliver but higher than Maricella. If Paulo plays tennis, then Kim plays tennis, Oliver ranking lower than Kim but higher than Paulo.

Question: Which one of the following could be true?
Options:
Maricella plays tennis and Shigeru plays golf.
Paulo plays tennis and Kim plays golf.
Kim plays tennis and Paulo plays golf.
Paulo and Oliver play tennis, Paulo ranking higher than Oliver.
Maricella and Shigeru play tennis, Maricella ranking higher than Shigeru.
Correct option (0-indexed): 2
Each of six people—Kim, Lina, Maricella, Oliver, Paulo, and Shigeru—plays exactly one of two sports—golf, and tennis. If a sport is played by more than one of the six people, then the people who play that sport are ranked in order of ability from highest to lowest, with no ties. The following conditions must apply: Oliver plays tennis. Lina plays golf. There is no golf player ranked higher than Lina. If Maricella plays golf, then Paulo and Shigeru play golf, Paulo ranking lower than Maricella but higher than Shigeru. If Maricella plays tennis, then Shigeru plays tennis, Shigeru ranking lower than Oliver but higher than Maricella. If Paulo plays tennis, then Kim plays tennis, Oliver ranking lower than Kim but higher than Paulo.

Question: Each of the following could be the lowest-ranking tennis player EXCEPT:
Options:
Shigeru
Kim
Oliver
Paulo
Maricella
Correct option (0-indexed): 0
Each of six people—Kim, Lina, Maricella, Oliver, Paulo, and Shigeru—plays exactly one of two sports—golf, and tennis. If a sport is played by more than one of the six people, then the people who play that sport are ranked in order of ability from highest to lowest, with no ties. The following conditions must apply: Oliver plays tennis. Lina plays golf. There is no golf player ranked higher than Lina. If Maricella plays golf, then Paulo and Shigeru play golf, Paulo ranking lower than Maricella but higher than Shigeru. If Maricella plays tennis, then Shigeru plays tennis, Shigeru ranking lower than Oliver but higher than Maricella. If Paulo plays tennis, then Kim plays tennis, Oliver ranking lower than Kim but higher than Paulo.

Question: Which one of the following could be a complete and accurate list of the people who play tennis, listed in order of rank from highest to lowest?
Options:
Shigeru, Paulo, Oliver
Oliver, Paulo, Kim
Shigeru, Oliver, Maricella
Oliver, Shigeru, Kim, Maricella
Paulo, Maricella, Shigeru, Kim
Correct option (0-indexed): 3
Each of six people—Kim, Lina, Maricella, Oliver, Paulo, and Shigeru—plays exactly one of two sports—golf, and tennis. If a sport is played by more than one of the six people, then the people who play that sport are ranked in order of ability from highest to lowest, with no ties. The following conditions must apply: Oliver plays tennis. Lina plays golf. There is no golf player ranked higher than Lina. If Maricella plays golf, then Paulo and Shigeru play golf, Paulo ranking lower than Maricella but higher than Shigeru. If Maricella plays tennis, then Shigeru plays tennis, Shigeru ranking lower than Oliver but higher than Maricella. If Paulo plays tennis, then Kim plays tennis, Oliver ranking lower than Kim but higher than Paulo.

Question: If Shigeru plays golf, then each of the following are pairs of people who must play the same sport as each other EXCEPT:
Options:
Paulo and Maricella
Paulo and Shigeru
Kim and Maricella
Paulo and Lina
Maricella and Shigeru
Correct option (0-indexed): 2
Each of six people—Kim, Lina, Maricella, Oliver, Paulo, and Shigeru—plays exactly one of two sports—golf, and tennis. If a sport is played by more than one of the six people, then the people who play that sport are ranked in order of ability from highest to lowest, with no ties. The following conditions must apply: Oliver plays tennis. Lina plays golf. There is no golf player ranked higher than Lina. If Maricella plays golf, then Paulo and Shigeru play golf, Paulo ranking lower than Maricella but higher than Shigeru. If Maricella plays tennis, then Shigeru plays tennis, Shigeru ranking lower than Oliver but higher than Maricella. If Paulo plays tennis, then Kim plays tennis, Oliver ranking lower than Kim but higher than Paulo.

Question: If Oliver is the highest-ranking tennis player, which one of the following must be true?
Options:
Oliver and Maricella play the same sport as each other.
Paulo and Lina play the same sport as each other.
Paulo and Oliver play the same sport as each other.
Kim and Lina do not play the same sport as each other.
Kim and Paulo do not play the same sport as each other.
Correct option (0-indexed): 1
Each of six people—Kim, Lina, Maricella, Oliver, Paulo, and Shigeru—plays exactly one of two sports—golf, and tennis. If a sport is played by more than one of the six people, then the people who play that sport are ranked in order of ability from highest to lowest, with no ties. The following conditions must apply: Oliver plays tennis. Lina plays golf. There is no golf player ranked higher than Lina. If Maricella plays golf, then Paulo and Shigeru play golf, Paulo ranking lower than Maricella but higher than Shigeru. If Maricella plays tennis, then Shigeru plays tennis, Shigeru ranking lower than Oliver but higher than Maricella. If Paulo plays tennis, then Kim plays tennis, Oliver ranking lower than Kim but higher than Paulo.

Question: Suppose that the condition is added that Shigeru and Paulo do not play the same sport as each other. If all the other conditions remain in effect, then each of the following could be true EXCEPT:
Options:
Maricella and Kim play the same sport as each other.
Paulo and Kim play the same sport as each other.
Paulo and Maricella play the same sport as each other.
Kim and Paulo do not play the same sport as each other.
Maricella and Kim do not play the same sport as each other.
Correct option (0-indexed): 2
A disc jockey will play a sequence consisting of exactly seven different songs: three ballads—F, G, and H—and four dance tunes—R, S, V, and X. The following conditions must be met: No dance tune can be played immediately after another dance tune. H must be played earlier in the sequence than V. V and S must be separated from each other by exactly one song. S must be played immediately before or immediately after F. F must be played immediately after R, unless G is played earlier than R.

Question: Which one of the following could be the order of the songs in the sequence?
Options:
G, H, S, X, V, F, R
R, H, X, G, S, F, V
S, F, X, G, R, H, V
V, F, S, H, X, G, R
X, G, R, H, S, F, V
Correct option (0-indexed): 4
A disc jockey will play a sequence consisting of exactly seven different songs: three ballads—F, G, and H—and four dance tunes—R, S, V, and X. The following conditions must be met: No dance tune can be played immediately after another dance tune. H must be played earlier in the sequence than V. V and S must be separated from each other by exactly one song. S must be played immediately before or immediately after F. F must be played immediately after R, unless G is played earlier than R.

Question: Which one of the following must be true about the sequence?
Options:
The first song is X.
The fifth song is S.
No ballad is played immediately after a dance tune.
No ballad is played immediately after another ballad.
No dance tune is played immediately after a ballad.
Correct option (0-indexed): 3
A disc jockey will play a sequence consisting of exactly seven different songs: three ballads—F, G, and H—and four dance tunes—R, S, V, and X. The following conditions must be met: No dance tune can be played immediately after another dance tune. H must be played earlier in the sequence than V. V and S must be separated from each other by exactly one song. S must be played immediately before or immediately after F. F must be played immediately after R, unless G is played earlier than R.

Question: Which one of the following could be the fourth song in the sequence?
Options:
G
R
S
V
X
Correct option (0-indexed): 0
A disc jockey will play a sequence consisting of exactly seven different songs: three ballads—F, G, and H—and four dance tunes—R, S, V, and X. The following conditions must be met: No dance tune can be played immediately after another dance tune. H must be played earlier in the sequence than V. V and S must be separated from each other by exactly one song. S must be played immediately before or immediately after F. F must be played immediately after R, unless G is played earlier than R.

Question: Which one of the following could be the first song in the sequence?
Options:
R
S
V
F
G
Correct option (0-indexed): 0
A disc jockey will play a sequence consisting of exactly seven different songs: three ballads—F, G, and H—and four dance tunes—R, S, V, and X. The following conditions must be met: No dance tune can be played immediately after another dance tune. H must be played earlier in the sequence than V. V and S must be separated from each other by exactly one song. S must be played immediately before or immediately after F. F must be played immediately after R, unless G is played earlier than R.

Question: If the third song in the sequence is S, which one of the following must be the sixth song?
Options:
G
H
R
V
X
Correct option (0-indexed): 0
A disc jockey will play a sequence consisting of exactly seven different songs: three ballads—F, G, and H—and four dance tunes—R, S, V, and X. The following conditions must be met: No dance tune can be played immediately after another dance tune. H must be played earlier in the sequence than V. V and S must be separated from each other by exactly one song. S must be played immediately before or immediately after F. F must be played immediately after R, unless G is played earlier than R.

Question: If the seventh song in the sequence is R, which one of the following could be the fifth song?
Options:
F
G
H
V
X
Correct option (0-indexed): 3
Eight physics students—four majors: Frank, Gwen, Henry, and Joan; and four nonmajors: Victor, Wanda, Xavier, and Yvette—are being assigned to four laboratory benches, numbered 1 through 4. Each student is assigned to exactly one bench, and exactly two students are assigned to each bench. Assignments of students to benches must conform to the following conditions: Exactly one major is assigned to each bench. Frank and Joan are assigned to consecutively numbered benches, with Frank assigned to the lower-numbered bench. Frank is assigned to the same bench as Victor. Gwen is not assigned to the same bench as Wanda.

Question: Which one of the following could be the assignment of students to benches?
Options:
1: Frank, Victor; 2: Joan, Gwen; 3: Henry, Wanda; 4: Xavier, Yvette
1: Gwen, Yvette; 2: Frank, Xavier; 3: Joan, Wanda; 4: Henry, Victor
1: Henry, Wanda; 2: Gwen, Xavier; 3: Frank, Victor; 4: Joan, Yvette
1: Henry, Xavier; 2: Joan, Wanda; 3: Frank, Victor; 4: Gwen, Yvette
1: Henry, Yvette; 2: Gwen, Wanda; 3: Frank, Victor, 4: Joan, Xavier
Correct option (0-indexed): 2
Eight physics students—four majors: Frank, Gwen, Henry, and Joan; and four nonmajors: Victor, Wanda, Xavier, and Yvette—are being assigned to four laboratory benches, numbered 1 through 4. Each student is assigned to exactly one bench, and exactly two students are assigned to each bench. Assignments of students to benches must conform to the following conditions: Exactly one major is assigned to each bench. Frank and Joan are assigned to consecutively numbered benches, with Frank assigned to the lower-numbered bench. Frank is assigned to the same bench as Victor. Gwen is not assigned to the same bench as Wanda.

Question: If Victor is assigned to bench 2 and Wanda is assigned to bench 4, which one of the following must be true?
Options:
Frank is assigned to bench 1.
Gwen is assigned to bench 1.
Henry is assigned to bench 3.
Xavier is assigned to bench 1.
Yvette is assigned to bench 3.
Correct option (0-indexed): 1
Eight physics students—four majors: Frank, Gwen, Henry, and Joan; and four nonmajors: Victor, Wanda, Xavier, and Yvette—are being assigned to four laboratory benches, numbered 1 through 4. Each student is assigned to exactly one bench, and exactly two students are assigned to each bench. Assignments of students to benches must conform to the following conditions: Exactly one major is assigned to each bench. Frank and Joan are assigned to consecutively numbered benches, with Frank assigned to the lower-numbered bench. Frank is assigned to the same bench as Victor. Gwen is not assigned to the same bench as Wanda.

Question: If Gwen and Henry are not assigned to consecutively numbered benches, which one of the following must be true?
Options:
Victor is assigned to bench 2.
Victor is assigned to bench 3.
Wanda is assigned to bench 1.
Wanda is assigned to bench 3.
Wanda is assigned to bench 4.
Correct option (0-indexed): 0
Eight physics students—four majors: Frank, Gwen, Henry, and Joan; and four nonmajors: Victor, Wanda, Xavier, and Yvette—are being assigned to four laboratory benches, numbered 1 through 4. Each student is assigned to exactly one bench, and exactly two students are assigned to each bench. Assignments of students to benches must conform to the following conditions: Exactly one major is assigned to each bench. Frank and Joan are assigned to consecutively numbered benches, with Frank assigned to the lower-numbered bench. Frank is assigned to the same bench as Victor. Gwen is not assigned to the same bench as Wanda.

Question: If Henry and Yvette are both assigned to bench 1, which one of the following could be true?
Options:
Gwen is assigned to bench 3.
Joan is assigned to bench 2.
Wanda is assigned to bench 2.
Wanda is assigned to bench 3.
Xavier is assigned to bench 3.
Correct option (0-indexed): 3
Eight physics students—four majors: Frank, Gwen, Henry, and Joan; and four nonmajors: Victor, Wanda, Xavier, and Yvette—are being assigned to four laboratory benches, numbered 1 through 4. Each student is assigned to exactly one bench, and exactly two students are assigned to each bench. Assignments of students to benches must conform to the following conditions: Exactly one major is assigned to each bench. Frank and Joan are assigned to consecutively numbered benches, with Frank assigned to the lower-numbered bench. Frank is assigned to the same bench as Victor. Gwen is not assigned to the same bench as Wanda.

Question: If Gwen is assigned to bench 4 and Xavier is assigned to bench 3, then any one of the following could be true EXCEPT:
Options:
Gwen is assigned to the same bench as Yvette.
Henry is assigned to the same bench as Wanda.
Henry is assigned to the same bench as Xavier.
Joan is assigned to the same bench as Xavier.
Joan is assigned to the same bench as Yvette.
Correct option (0-indexed): 4
Eight physics students—four majors: Frank, Gwen, Henry, and Joan; and four nonmajors: Victor, Wanda, Xavier, and Yvette—are being assigned to four laboratory benches, numbered 1 through 4. Each student is assigned to exactly one bench, and exactly two students are assigned to each bench. Assignments of students to benches must conform to the following conditions: Exactly one major is assigned to each bench. Frank and Joan are assigned to consecutively numbered benches, with Frank assigned to the lower-numbered bench. Frank is assigned to the same bench as Victor. Gwen is not assigned to the same bench as Wanda.

Question: If Wanda is assigned to a lower-numbered bench than is Joan, then Henry must be assigned to a
Options:
lower-numbered bench than is Frank
lower-numbered bench than is Gwen
lower-numbered bench than is Xavier
higher-numbered bench than is Victor
higher-numbered bench than is Yvette
Correct option (0-indexed): 0
Eight physics students—four majors: Frank, Gwen, Henry, and Joan; and four nonmajors: Victor, Wanda, Xavier, and Yvette—are being assigned to four laboratory benches, numbered 1 through 4. Each student is assigned to exactly one bench, and exactly two students are assigned to each bench. Assignments of students to benches must conform to the following conditions: Exactly one major is assigned to each bench. Frank and Joan are assigned to consecutively numbered benches, with Frank assigned to the lower-numbered bench. Frank is assigned to the same bench as Victor. Gwen is not assigned to the same bench as Wanda.

Question: Which one of the following could be the assignments for bench 2 and bench 4?
Options:
2: Gwen, Xavier 4: Henry, Yvette
2: Henry, Yvette 4: Joan, Xavier
2: Joan, Victor 4: Gwen, Xavier
2: Joan, Wanda 4: Gwen, Xavier
2: Joan, Xavier 4: Henry, Yvette
Correct option (0-indexed): 3
A messenger will deliver exactly seven packages—L, M, N, O, P, S, and T—one at a time, not necessarily in that order. The seven deliveries must be made according to the following conditions: P is delivered either first or seventh. The messenger delivers N at some time after delivering L. The messenger delivers T at some time after delivering M. The messenger delivers exactly one package between delivering L and delivering O, whether or not L is delivered before O. The messenger delivers exactly one package between delivering M and delivering P, whether or not M is delivered before P.

Question: Which one of the following is an order in which the messenger could make the deliveries, from first to seventh?
Options:
L, N, S, O, M, T, P
M, T, P, S, L, N, O
O, S, L, N, M, T, P
P, N, M, S, O, T, L
P, T, M, S, L, N, O
Correct option (0-indexed): 2
A messenger will deliver exactly seven packages—L, M, N, O, P, S, and T—one at a time, not necessarily in that order. The seven deliveries must be made according to the following conditions: P is delivered either first or seventh. The messenger delivers N at some time after delivering L. The messenger delivers T at some time after delivering M. The messenger delivers exactly one package between delivering L and delivering O, whether or not L is delivered before O. The messenger delivers exactly one package between delivering M and delivering P, whether or not M is delivered before P.

Question: Which one of the following could be true?
Options:
N is delivered first.
T is delivered first.
T is delivered second.
M is delivered fourth.
S is delivered seventh.
Correct option (0-indexed): 4
A messenger will deliver exactly seven packages—L, M, N, O, P, S, and T—one at a time, not necessarily in that order. The seven deliveries must be made according to the following conditions: P is delivered either first or seventh. The messenger delivers N at some time after delivering L. The messenger delivers T at some time after delivering M. The messenger delivers exactly one package between delivering L and delivering O, whether or not L is delivered before O. The messenger delivers exactly one package between delivering M and delivering P, whether or not M is delivered before P.

Question: If N is delivered fourth, which one of the following could be true?
Options:
L is delivered first.
L is delivered second.
M is delivered third.
O is delivered fifth.
S is delivered first.
Correct option (0-indexed): 0
A messenger will deliver exactly seven packages—L, M, N, O, P, S, and T—one at a time, not necessarily in that order. The seven deliveries must be made according to the following conditions: P is delivered either first or seventh. The messenger delivers N at some time after delivering L. The messenger delivers T at some time after delivering M. The messenger delivers exactly one package between delivering L and delivering O, whether or not L is delivered before O. The messenger delivers exactly one package between delivering M and delivering P, whether or not M is delivered before P.

Question: If T is delivered fourth, the seventh package delivered must be
Options:
L
N
O
P
S
Correct option (0-indexed): 2
A messenger will deliver exactly seven packages—L, M, N, O, P, S, and T—one at a time, not necessarily in that order. The seven deliveries must be made according to the following conditions: P is delivered either first or seventh. The messenger delivers N at some time after delivering L. The messenger delivers T at some time after delivering M. The messenger delivers exactly one package between delivering L and delivering O, whether or not L is delivered before O. The messenger delivers exactly one package between delivering M and delivering P, whether or not M is delivered before P.

Question: If the messenger delivers M at some time after delivering O, the fifth package delivered could be any one of the following EXCEPT:
Options:
L
M
N
S
T
Correct option (0-indexed): 0
Each of exactly five persons—Nguyen, Olson, Pike, Tyner, and Valdez—participates in exactly one of three activities: going to a movie, going to a soccer game, or going to a restaurant. The following conditions must apply. Nguyen and Olson do not participate in the same activity as each other, nor does either one of them participate in the same activity as Pike. Exactly two persons go to a soccer game. Tyner and Pike do not participate in the same activity as each other. If Nguyen or Valdez goes to a movie, they both go to a movie.

Question: Which one of the following could be an accurate list of the activities participated in by Nguyen, Olson, Pike, Tyner, and Valdez, respectively?
Options:
movie, soccer game, soccer game, restaurant, movie
movie, restaurant, soccer game, soccer game, movie
soccer game, restaurant, movie, soccer game, movie
soccer game, restaurant, movie, soccer game, restaurant
soccer game, restaurant, movie, soccer game, soccer game
Correct option (0-indexed): 3
Each of exactly five persons—Nguyen, Olson, Pike, Tyner, and Valdez—participates in exactly one of three activities: going to a movie, going to a soccer game, or going to a restaurant. The following conditions must apply. Nguyen and Olson do not participate in the same activity as each other, nor does either one of them participate in the same activity as Pike. Exactly two persons go to a soccer game. Tyner and Pike do not participate in the same activity as each other. If Nguyen or Valdez goes to a movie, they both go to a movie.

Question: If Valdez goes to a soccer game, then each of the following could be true EXCEPT:
Options:
Olson goes to a movie.
Nguyen goes to a restaurant.
Nguyen goes to a soccer game.
Tyner goes to a soccer game.
Tyner goes to a movie.
Correct option (0-indexed): 3
Each of exactly five persons—Nguyen, Olson, Pike, Tyner, and Valdez—participates in exactly one of three activities: going to a movie, going to a soccer game, or going to a restaurant. The following conditions must apply. Nguyen and Olson do not participate in the same activity as each other, nor does either one of them participate in the same activity as Pike. Exactly two persons go to a soccer game. Tyner and Pike do not participate in the same activity as each other. If Nguyen or Valdez goes to a movie, they both go to a movie.

Question: Which one of the following is a pair of persons who could go to a movie together?
Options:
Nguyen and Tyner
Olson and Tyner
Olson and Valdez
Pike and Olson
Pike and Tyner
Correct option (0-indexed): 1
Each of exactly five persons—Nguyen, Olson, Pike, Tyner, and Valdez—participates in exactly one of three activities: going to a movie, going to a soccer game, or going to a restaurant. The following conditions must apply. Nguyen and Olson do not participate in the same activity as each other, nor does either one of them participate in the same activity as Pike. Exactly two persons go to a soccer game. Tyner and Pike do not participate in the same activity as each other. If Nguyen or Valdez goes to a movie, they both go to a movie.

Question: Each of the following statements must be false EXCEPT:
Options:
Only Olson goes to a restaurant.
Only Pike goes to a restaurant.
Only Tyner goes to a restaurant.
Only Valdez goes to a restaurant.
Tyner and Valdez go to a restaurant together.
Correct option (0-indexed): 1
Each of exactly five persons—Nguyen, Olson, Pike, Tyner, and Valdez—participates in exactly one of three activities: going to a movie, going to a soccer game, or going to a restaurant. The following conditions must apply. Nguyen and Olson do not participate in the same activity as each other, nor does either one of them participate in the same activity as Pike. Exactly two persons go to a soccer game. Tyner and Pike do not participate in the same activity as each other. If Nguyen or Valdez goes to a movie, they both go to a movie.

Question: If Nguyen goes to a soccer game, then which one of the following is a complete and accurate list of the persons any one of whom could go to a movie?
Options:
Olson
Pike, Valdez
Olson, Tyner
Pike, Tyner, Valdez
Olson, Pike, Tyner
Correct option (0-indexed): 4
Each of exactly five persons—Nguyen, Olson, Pike, Tyner, and Valdez—participates in exactly one of three activities: going to a movie, going to a soccer game, or going to a restaurant. The following conditions must apply. Nguyen and Olson do not participate in the same activity as each other, nor does either one of them participate in the same activity as Pike. Exactly two persons go to a soccer game. Tyner and Pike do not participate in the same activity as each other. If Nguyen or Valdez goes to a movie, they both go to a movie.

Question: If the condition that exactly two persons go to a soccer game is changed to require that exactly three persons go to a soccer game, but all other conditions remain the same, then which one of the following persons must participate in an activity other than going to a soccer game?
Options:
Nguyen
Olson
Pike
Tyner
Valdez
Correct option (0-indexed): 2
In each of two years exactly two of four lawmakers—Feld, Gibson, Hsu, and Ivins—and exactly two of three scientists—Vega, Young, and Zapora—will serve as members of a four-person panel. In each year, one of the members will be chairperson. The chairperson in the first year cannot serve on the panel in the second year. The chairperson in the second year must have served on the panel in the first year. Service on the panel must obey the following conditions: Gibson and Vega do not serve on the panel in the same year as each other. Hsu and Young do not serve on the panel in the same year as each other. Each year, either Ivins or Vega, but not both, serves on the panel.

Question: Which one of the following could be the list of the people who serve on the panel in the first year?
Options:
Feld, Gibson, Vega, Zapora
Feld, Hsu, Vega, Zapora
Feld, Ivins, Vega, Zapora
Gibson, Hsu, Ivins, Zapora
Hsu, Ivins, Young, Zapora
Correct option (0-indexed): 1
In each of two years exactly two of four lawmakers—Feld, Gibson, Hsu, and Ivins—and exactly two of three scientists—Vega, Young, and Zapora—will serve as members of a four-person panel. In each year, one of the members will be chairperson. The chairperson in the first year cannot serve on the panel in the second year. The chairperson in the second year must have served on the panel in the first year. Service on the panel must obey the following conditions: Gibson and Vega do not serve on the panel in the same year as each other. Hsu and Young do not serve on the panel in the same year as each other. Each year, either Ivins or Vega, but not both, serves on the panel.

Question: If Vega is the chairperson in the first year, which one of the following is a pair of people who must serve on the panel in the second year?
Options:
Gibson and Young
Gibson and Zapora
Hsu and Ivins
Ivins and Young
Vega and Young
Correct option (0-indexed): 3
In each of two years exactly two of four lawmakers—Feld, Gibson, Hsu, and Ivins—and exactly two of three scientists—Vega, Young, and Zapora—will serve as members of a four-person panel. In each year, one of the members will be chairperson. The chairperson in the first year cannot serve on the panel in the second year. The chairperson in the second year must have served on the panel in the first year. Service on the panel must obey the following conditions: Gibson and Vega do not serve on the panel in the same year as each other. Hsu and Young do not serve on the panel in the same year as each other. Each year, either Ivins or Vega, but not both, serves on the panel.

Question: If Hsu is the chairperson in the first year, which one of the following could be the chairperson in the second year?
Options:
Feld
Gibson
Hsu
Ivins
Young
Correct option (0-indexed): 0
In each of two years exactly two of four lawmakers—Feld, Gibson, Hsu, and Ivins—and exactly two of three scientists—Vega, Young, and Zapora—will serve as members of a four-person panel. In each year, one of the members will be chairperson. The chairperson in the first year cannot serve on the panel in the second year. The chairperson in the second year must have served on the panel in the first year. Service on the panel must obey the following conditions: Gibson and Vega do not serve on the panel in the same year as each other. Hsu and Young do not serve on the panel in the same year as each other. Each year, either Ivins or Vega, but not both, serves on the panel.

Question: IF Feld serves on the panel in a given year, any one of the following could serve on the panel that year EXCEPT:
Options:
Gibson
Hsu
Ivins
Vega
Young
Correct option (0-indexed): 0