benlipkin/arlsat huggingface dataset:
Henri has exactly five electrical appliances in his dormitory room: a hairdryer, a microwave oven, a razor, a television, and a vacuum. As a consequence of fire department regulations, Henri can use these appliances only in accordance with the following conditions: Henri cannot use both the hairdryer and the razor simultaneously. Henri cannot use both the hairdryer and the television simultaneously. When Henri uses the vacuum, he cannot at the same time use any of the following: the hairdryer, the razor, and the television.

Question: Which one of the following CANNOT be true?
Options:
Henri uses the hairdryer while using the microwave oven.
Henri uses the microwave oven while using the razor.
Henri uses the microwave oven while using two other appliances.
Henri uses the television while using two other appliances.
Henri uses the vacuum while using two other appliances.
Correct option (0-indexed): 4
Henri has exactly five electrical appliances in his dormitory room: a hairdryer, a microwave oven, a razor, a television, and a vacuum. As a consequence of fire department regulations, Henri can use these appliances only in accordance with the following conditions: Henri cannot use both the hairdryer and the razor simultaneously. Henri cannot use both the hairdryer and the television simultaneously. When Henri uses the vacuum, he cannot at the same time use any of the following: the hairdryer, the razor, and the television.

Question: If Henri were to use exactly three appliances, then what is the total number of different groups of three appliances any one of which could be the group of appliances he is using?
Options:
one
two
three
four
five
Correct option (0-indexed): 0
Henri has exactly five electrical appliances in his dormitory room: a hairdryer, a microwave oven, a razor, a television, and a vacuum. As a consequence of fire department regulations, Henri can use these appliances only in accordance with the following conditions: Henri cannot use both the hairdryer and the razor simultaneously. Henri cannot use both the hairdryer and the television simultaneously. When Henri uses the vacuum, he cannot at the same time use any of the following: the hairdryer, the razor, and the television.

Question: Which one of the following statements, if true, guarantees that Henri is using no more than one of the following: the hairdryer, the razor, the television?
Options:
Henri is using the hairdryer.
Henri is using the television.
Henri is not using the hairdryer.
Henri is not using the microwave oven.
Henri is not using the vacuum.
Correct option (0-indexed): 0
Henri has exactly five electrical appliances in his dormitory room: a hairdryer, a microwave oven, a razor, a television, and a vacuum. As a consequence of fire department regulations, Henri can use these appliances only in accordance with the following conditions: Henri cannot use both the hairdryer and the razor simultaneously. Henri cannot use both the hairdryer and the television simultaneously. When Henri uses the vacuum, he cannot at the same time use any of the following: the hairdryer, the razor, and the television.

Question: Which one of the following must be true?
Options:
Henri uses at most three appliances simultaneously.
Henri uses at most four appliances simultaneously.
Henri uses at most one other appliance while using the microwave oven.
Henri uses at most one other appliance while using the razor.
Henri uses at least two other appliances while using the hairdryer.
Correct option (0-indexed): 0
A farmer harvests eight separate fields—G, H, J, K, L, M, P, and T. Each field is harvested exactly once, and no two fields are harvested simultaneously. Once the harvesting of a field begins, no other fields are harvested until the harvesting of that field is complete. The farmer harvests the fields in an order consistent with the following conditions: Both P and G are harvested at some time before K. Both H and L are harvested at some time before J. K is harvested at some time before M but after L. T is harvested at some time before M.

Question: Which one of the following could be true?
Options:
J is the first field harvested.
K is the second field harvested.
M is the sixth field harvested.
G is the seventh field harvested.
T is the eighth field harvested.
Correct option (0-indexed): 2
A farmer harvests eight separate fields—G, H, J, K, L, M, P, and T. Each field is harvested exactly once, and no two fields are harvested simultaneously. Once the harvesting of a field begins, no other fields are harvested until the harvesting of that field is complete. The farmer harvests the fields in an order consistent with the following conditions: Both P and G are harvested at some time before K. Both H and L are harvested at some time before J. K is harvested at some time before M but after L. T is harvested at some time before M.

Question: If M is the seventh field harvested, then any one of the following could be the fifth field harvested EXCEPT:
Options:
H
J
K
L
P
Correct option (0-indexed): 1
A farmer harvests eight separate fields—G, H, J, K, L, M, P, and T. Each field is harvested exactly once, and no two fields are harvested simultaneously. Once the harvesting of a field begins, no other fields are harvested until the harvesting of that field is complete. The farmer harvests the fields in an order consistent with the following conditions: Both P and G are harvested at some time before K. Both H and L are harvested at some time before J. K is harvested at some time before M but after L. T is harvested at some time before M.

Question: Which one of the following CANNOT be the field that is harvested fifth?
Options:
G
J
M
P
T
Correct option (0-indexed): 2
A farmer harvests eight separate fields—G, H, J, K, L, M, P, and T. Each field is harvested exactly once, and no two fields are harvested simultaneously. Once the harvesting of a field begins, no other fields are harvested until the harvesting of that field is complete. The farmer harvests the fields in an order consistent with the following conditions: Both P and G are harvested at some time before K. Both H and L are harvested at some time before J. K is harvested at some time before M but after L. T is harvested at some time before M.

Question: If J is the third field harvested, then which one of the following must be true?
Options:
L is the first field harvested.
H is the second field harvested.
T is the fourth field harvested.
K is the seventh field harvested.
M is the eighth field harvested.
Correct option (0-indexed): 4
A farmer harvests eight separate fields—G, H, J, K, L, M, P, and T. Each field is harvested exactly once, and no two fields are harvested simultaneously. Once the harvesting of a field begins, no other fields are harvested until the harvesting of that field is complete. The farmer harvests the fields in an order consistent with the following conditions: Both P and G are harvested at some time before K. Both H and L are harvested at some time before J. K is harvested at some time before M but after L. T is harvested at some time before M.

Question: If H is the sixth field harvested, then which one of the following must be true?
Options:
G is harvested at some time before T.
H is harvested at some time before K.
J is harvested at some time before M.
K is harvested at some time before J.
T is harvested at some time before K.
Correct option (0-indexed): 3
A farmer harvests eight separate fields—G, H, J, K, L, M, P, and T. Each field is harvested exactly once, and no two fields are harvested simultaneously. Once the harvesting of a field begins, no other fields are harvested until the harvesting of that field is complete. The farmer harvests the fields in an order consistent with the following conditions: Both P and G are harvested at some time before K. Both H and L are harvested at some time before J. K is harvested at some time before M but after L. T is harvested at some time before M.

Question: If L is the fifth field harvested, then which one of the following could be true?
Options:
J is harvested at some time before G.
J is harvested at some time before T.
K is harvested at some time before T.
M is harvested at some time before H.
M is harvested at some time before J.
Correct option (0-indexed): 4
In a repair facility there are exactly six technicians: Stacy, Urma, Wim, Xena, Yolanda, and Zane. Each technician repairs machines of at least one of the following three types—radios, televisions, and VCRs—and no other types. The following conditions apply: Xena and exactly three other technicians repair radios. Yolanda repairs both televisions and VCRs. Stacy does not repair any type of machine that Yolanda repairs. Zane repairs more types of machines than Yolanda repairs. Wim does not repair any type of machine that Stacy repairs. Urma repairs exactly two types of machines.

Question: For exactly how many of the six technicians is it possible to determine exactly which of the three types of machines each repairs?
Options:
one
two
three
four
five
Correct option (0-indexed): 2
In a repair facility there are exactly six technicians: Stacy, Urma, Wim, Xena, Yolanda, and Zane. Each technician repairs machines of at least one of the following three types—radios, televisions, and VCRs—and no other types. The following conditions apply: Xena and exactly three other technicians repair radios. Yolanda repairs both televisions and VCRs. Stacy does not repair any type of machine that Yolanda repairs. Zane repairs more types of machines than Yolanda repairs. Wim does not repair any type of machine that Stacy repairs. Urma repairs exactly two types of machines.

Question: Which one of the following must be true?
Options:
Of the types of machines repaired by Stacy there is exactly one type that Urma also repairs.
Of the types of machines repaired by Yolanda there is exactly one type that Xena also repairs.
Of the types of machines repaired by Wim there is exactly one type that Xena also repairs.
There is more than one type of machine that both Wim and Yolanda repair.
There is more than one type of machine that both Urma and Wim repair.
Correct option (0-indexed): 0
In a repair facility there are exactly six technicians: Stacy, Urma, Wim, Xena, Yolanda, and Zane. Each technician repairs machines of at least one of the following three types—radios, televisions, and VCRs—and no other types. The following conditions apply: Xena and exactly three other technicians repair radios. Yolanda repairs both televisions and VCRs. Stacy does not repair any type of machine that Yolanda repairs. Zane repairs more types of machines than Yolanda repairs. Wim does not repair any type of machine that Stacy repairs. Urma repairs exactly two types of machines.

Question: Which one of the following must be false?
Options:
Exactly one of the six technicians repairs exactly one type of machine.
Exactly two of the six technicians repair exactly one type of machine each.
Exactly three of the six technicians repair exactly one type of machine each.
Exactly one of the six technicians repairs exactly two types of machines.
Exactly three of the six technicians repair exactly two types of machines each.
Correct option (0-indexed): 3
In a repair facility there are exactly six technicians: Stacy, Urma, Wim, Xena, Yolanda, and Zane. Each technician repairs machines of at least one of the following three types—radios, televisions, and VCRs—and no other types. The following conditions apply: Xena and exactly three other technicians repair radios. Yolanda repairs both televisions and VCRs. Stacy does not repair any type of machine that Yolanda repairs. Zane repairs more types of machines than Yolanda repairs. Wim does not repair any type of machine that Stacy repairs. Urma repairs exactly two types of machines.

Question: Which one of the following pairs of technicians could repair all and only the same types of machines as each other?
Options:
Stacy and Urma
Urma and Yolanda
Urma and Xena
Wim and Xena
Xena and Yolanda
Correct option (0-indexed): 2
In a repair facility there are exactly six technicians: Stacy, Urma, Wim, Xena, Yolanda, and Zane. Each technician repairs machines of at least one of the following three types—radios, televisions, and VCRs—and no other types. The following conditions apply: Xena and exactly three other technicians repair radios. Yolanda repairs both televisions and VCRs. Stacy does not repair any type of machine that Yolanda repairs. Zane repairs more types of machines than Yolanda repairs. Wim does not repair any type of machine that Stacy repairs. Urma repairs exactly two types of machines.

Question: Which one of the following must be true?
Options:
There is exactly one type of machine that both Urma and Wim repair.
There is exactly one type of machine that both Urma and Xena repair.
There is exactly one type of machine that both Urma and Yolanda repair.
There is exactly one type of machine that both Wim and Yolanda repair.
There is exactly one type of machine that both Xena and Yolanda repair.
Correct option (0-indexed): 2
Three folk groups—Glenside, Hilltopper, Levon—and three rock groups—Peasant, Query, Tinhead—each perform on one of two stages, north or south. Each stage has three two-hour performances: north at 6, 8, and 10; south at 8, 10, and 12. Each group performs individually and exactly once, consistent with the following conditions: Peasant performs at 6 or 12. Glenside performs at some time before Hilltopper. If any rock group performs at 10, no folk group does. Levon and Tinhead perform on different stages. Query performs immediately after a folk group, though not necessarily on the same stage.

Question: Which one of the following could be a complete and accurate ordering of performances on the north stage, from first to last?
Options:
Glenside, Levon, Query
Glenside, Query, Hilltopper
Hilltopper, Query, Peasant
Peasant, Levon, Tinhead
Peasant, Query, Levon
Correct option (0-indexed): 0
Three folk groups—Glenside, Hilltopper, Levon—and three rock groups—Peasant, Query, Tinhead—each perform on one of two stages, north or south. Each stage has three two-hour performances: north at 6, 8, and 10; south at 8, 10, and 12. Each group performs individually and exactly once, consistent with the following conditions: Peasant performs at 6 or 12. Glenside performs at some time before Hilltopper. If any rock group performs at 10, no folk group does. Levon and Tinhead perform on different stages. Query performs immediately after a folk group, though not necessarily on the same stage.

Question: Which one of the following groups must perform earlier than 10?
Options:
Glenside
Hilltopper
Levon
Peasant
Tinhead
Correct option (0-indexed): 0
Three folk groups—Glenside, Hilltopper, Levon—and three rock groups—Peasant, Query, Tinhead—each perform on one of two stages, north or south. Each stage has three two-hour performances: north at 6, 8, and 10; south at 8, 10, and 12. Each group performs individually and exactly once, consistent with the following conditions: Peasant performs at 6 or 12. Glenside performs at some time before Hilltopper. If any rock group performs at 10, no folk group does. Levon and Tinhead perform on different stages. Query performs immediately after a folk group, though not necessarily on the same stage.

Question: Which one of the following groups could perform at 6?
Options:
Glenside
Hilltopper
Levon
Query
Tinhead
Correct option (0-indexed): 0
Three folk groups—Glenside, Hilltopper, Levon—and three rock groups—Peasant, Query, Tinhead—each perform on one of two stages, north or south. Each stage has three two-hour performances: north at 6, 8, and 10; south at 8, 10, and 12. Each group performs individually and exactly once, consistent with the following conditions: Peasant performs at 6 or 12. Glenside performs at some time before Hilltopper. If any rock group performs at 10, no folk group does. Levon and Tinhead perform on different stages. Query performs immediately after a folk group, though not necessarily on the same stage.

Question: If Query performs at 12, then which one of the following could be an accurate ordering of the performances on the north stage, from first to last?
Options:
Glenside, Levon, Query
Peasant, Hilltopper, Tinhead
Peasant, Tinhead, Glenside
Peasant, Tinhead, Hilltopper
Peasant, Tinhead, Levon
Correct option (0-indexed): 3
Three folk groups—Glenside, Hilltopper, Levon—and three rock groups—Peasant, Query, Tinhead—each perform on one of two stages, north or south. Each stage has three two-hour performances: north at 6, 8, and 10; south at 8, 10, and 12. Each group performs individually and exactly once, consistent with the following conditions: Peasant performs at 6 or 12. Glenside performs at some time before Hilltopper. If any rock group performs at 10, no folk group does. Levon and Tinhead perform on different stages. Query performs immediately after a folk group, though not necessarily on the same stage.

Question: If a rock group performs at 10, then which one of the following must be true?
Options:
A folk group performs at 6.
A folk group performs at 8.
A folk group performs at 12.
A rock group performs at 8.
A rock group performs at 12.
Correct option (0-indexed): 1
During an international film retrospective lasting six consecutive days—day 1 through day 6—exactly six different films will be shown, one each day. Twelve films will be available for presentation, two each in French, Greek, Hungarian, Italian, Norwegian, and Turkish. The presentation of the films must conform to the following conditions: Neither day 2 nor day 4 is a day on which a film in Norwegian is shown. A film in Italian is not shown unless a film in Norwegian is going to be shown the next day. A film in Greek is not shown unless a film in Italian is going to be shown the next day.

Question: Which one of the following is an acceptable order of films for the retrospective, listed by their language, from day 1 through day 6?
Options:
French, Greek, Italian, Turkish, Norwegian, Hungarian
French, Hungarian, Italian, Norwegian, French, Hungarian
Hungarian, French, Norwegian, Greek, Norwegian, Italian
Norwegian, Turkish, Hungarian, Italian, French, Turkish
Turkish, French, Norwegian, Hungarian, French, Turkish
Correct option (0-indexed): 4
During an international film retrospective lasting six consecutive days—day 1 through day 6—exactly six different films will be shown, one each day. Twelve films will be available for presentation, two each in French, Greek, Hungarian, Italian, Norwegian, and Turkish. The presentation of the films must conform to the following conditions: Neither day 2 nor day 4 is a day on which a film in Norwegian is shown. A film in Italian is not shown unless a film in Norwegian is going to be shown the next day. A film in Greek is not shown unless a film in Italian is going to be shown the next day.

Question: If two films in Italian are going to be shown, one on day 2 and one on day 5, then the film shown on day 1 could be in any one of the following languages EXCEPT:
Options:
French
Greek
Hungarian
Norwegian
Turkish
Correct option (0-indexed): 3
During an international film retrospective lasting six consecutive days—day 1 through day 6—exactly six different films will be shown, one each day. Twelve films will be available for presentation, two each in French, Greek, Hungarian, Italian, Norwegian, and Turkish. The presentation of the films must conform to the following conditions: Neither day 2 nor day 4 is a day on which a film in Norwegian is shown. A film in Italian is not shown unless a film in Norwegian is going to be shown the next day. A film in Greek is not shown unless a film in Italian is going to be shown the next day.

Question: If two films in Italian are shown during the retrospective, which one of the following must be false?
Options:
A film in French is shown on day 3.
A film in Greek is shown on day 1.
A film in Hungarian is shown on day 6.
A film in Norwegian is shown on day 5.
A film in Turkish is shown on day 4.
Correct option (0-indexed): 0
During an international film retrospective lasting six consecutive days—day 1 through day 6—exactly six different films will be shown, one each day. Twelve films will be available for presentation, two each in French, Greek, Hungarian, Italian, Norwegian, and Turkish. The presentation of the films must conform to the following conditions: Neither day 2 nor day 4 is a day on which a film in Norwegian is shown. A film in Italian is not shown unless a film in Norwegian is going to be shown the next day. A film in Greek is not shown unless a film in Italian is going to be shown the next day.

Question: Which one of the following is a complete and accurate list of the days, any one of which is a day on which a film in Italian could be shown?
Options:
day 1, day 3, day 5
day 2, day 4, day 5
day 2, day 5, day 6
day 1, day 3
day 2, day 4
Correct option (0-indexed): 1
During an international film retrospective lasting six consecutive days—day 1 through day 6—exactly six different films will be shown, one each day. Twelve films will be available for presentation, two each in French, Greek, Hungarian, Italian, Norwegian, and Turkish. The presentation of the films must conform to the following conditions: Neither day 2 nor day 4 is a day on which a film in Norwegian is shown. A film in Italian is not shown unless a film in Norwegian is going to be shown the next day. A film in Greek is not shown unless a film in Italian is going to be shown the next day.

Question: If two films in French are going to be shown, one on day 3 and one on day 5, which one of the following is a pair of films that could be shown on day 1 and day 6, respectively?
Options:
a film in French, a film in Turkish
a film in Greek, a film in Hungarian
a film in Italian, a film in Norwegian
a film in Norwegian, a film in Turkish
a film in Turkish, a film in Greek
Correct option (0-indexed): 3
During an international film retrospective lasting six consecutive days—day 1 through day 6—exactly six different films will be shown, one each day. Twelve films will be available for presentation, two each in French, Greek, Hungarian, Italian, Norwegian, and Turkish. The presentation of the films must conform to the following conditions: Neither day 2 nor day 4 is a day on which a film in Norwegian is shown. A film in Italian is not shown unless a film in Norwegian is going to be shown the next day. A film in Greek is not shown unless a film in Italian is going to be shown the next day.

Question: If neither a film in French nor a film in Italian is shown during the retrospective, which one of the following must be true?
Options:
A film in Norwegian is shown on day 1.
A film in Norwegian is shown on day 5.
A film in Turkish is shown on day 4.
A film in Hungarian or else a film in Norwegian is shown on day 3.
A film in Hungarian or else a film in Turkish is shown on day 2.
Correct option (0-indexed): 4
During an international film retrospective lasting six consecutive days—day 1 through day 6—exactly six different films will be shown, one each day. Twelve films will be available for presentation, two each in French, Greek, Hungarian, Italian, Norwegian, and Turkish. The presentation of the films must conform to the following conditions: Neither day 2 nor day 4 is a day on which a film in Norwegian is shown. A film in Italian is not shown unless a film in Norwegian is going to be shown the next day. A film in Greek is not shown unless a film in Italian is going to be shown the next day.

Question: If a film in Greek is going to be shown at some time after a film in Norwegian, then a film in Norwegian must be shown on
Options:
day 1
day 3
day 5
day 1 or else day 3
day 3 or else day 5
Correct option (0-indexed): 3
There are exactly five pieces of mail in a mailbox: a flyer, a letter, a magazine, a postcard, and a survey. Each piece of mail is addressed to exactly one of three housemates: Georgette, Jana, or Rini. Each housemate has at least one of the pieces of mail addressed to her. The following conditions must apply: Neither the letter nor the magazine is addressed to Georgette. If the letter is addressed to Rini, then the postcard is addressed to Jana. The housemate to whom the flyer is addressed has at least one of the other pieces of mail addressed to her as well.

Question: Which one of the following could be a complete and accurate matching of the pieces of mail to the housemates to whom they are addressed?
Options:
Georgette: the flyer, the survey Jana: the letter Rini: the magazine
Georgette: the flyer, the postcard Jana: the letter, the magazine Rini: the survey
Georgette: the magazine, the survey Jana: the flyer, the letter Rini: the postcard
Georgette: the survey Jana: the flyer, the magazine Rini: the letter, the postcard
Georgette: the survey Jana: the letter, the magazine, the postcard Rini: the flyer
Correct option (0-indexed): 1
There are exactly five pieces of mail in a mailbox: a flyer, a letter, a magazine, a postcard, and a survey. Each piece of mail is addressed to exactly one of three housemates: Georgette, Jana, or Rini. Each housemate has at least one of the pieces of mail addressed to her. The following conditions must apply: Neither the letter nor the magazine is addressed to Georgette. If the letter is addressed to Rini, then the postcard is addressed to Jana. The housemate to whom the flyer is addressed has at least one of the other pieces of mail addressed to her as well.

Question: Which one of the following is a complete and accurate list of the pieces of mail, any one of which could be the only piece of mail addressed to Jana?
Options:
the postcard
the letter, the postcard
the letter, the survey
the magazine, the survey
the letter, the magazine, the postcard
Correct option (0-indexed): 1
There are exactly five pieces of mail in a mailbox: a flyer, a letter, a magazine, a postcard, and a survey. Each piece of mail is addressed to exactly one of three housemates: Georgette, Jana, or Rini. Each housemate has at least one of the pieces of mail addressed to her. The following conditions must apply: Neither the letter nor the magazine is addressed to Georgette. If the letter is addressed to Rini, then the postcard is addressed to Jana. The housemate to whom the flyer is addressed has at least one of the other pieces of mail addressed to her as well.

Question: Which one of the following CANNOT be a complete and accurate list of the pieces of mail addressed to Jana?
Options:
the flyer, the letter, the magazine
the flyer, the letter, the postcard
the flyer, the letter, the survey
the flyer, the magazine, the postcard
the flyer, the magazine, the survey
Correct option (0-indexed): 4
There are exactly five pieces of mail in a mailbox: a flyer, a letter, a magazine, a postcard, and a survey. Each piece of mail is addressed to exactly one of three housemates: Georgette, Jana, or Rini. Each housemate has at least one of the pieces of mail addressed to her. The following conditions must apply: Neither the letter nor the magazine is addressed to Georgette. If the letter is addressed to Rini, then the postcard is addressed to Jana. The housemate to whom the flyer is addressed has at least one of the other pieces of mail addressed to her as well.

Question: Which one of the following CANNOT be a complete and accurate list of the pieces of mail addressed to Rini?
Options:
the magazine, the postcard
the letter, the survey
the letter, the magazine
the flyer, the magazine
the flyer, the letter
Correct option (0-indexed): 1
There are exactly five pieces of mail in a mailbox: a flyer, a letter, a magazine, a postcard, and a survey. Each piece of mail is addressed to exactly one of three housemates: Georgette, Jana, or Rini. Each housemate has at least one of the pieces of mail addressed to her. The following conditions must apply: Neither the letter nor the magazine is addressed to Georgette. If the letter is addressed to Rini, then the postcard is addressed to Jana. The housemate to whom the flyer is addressed has at least one of the other pieces of mail addressed to her as well.

Question: If the magazine and the survey are both addressed to the same housemate, then which one of the following could be true?
Options:
The survey is addressed to Georgette.
The postcard is addressed to Rini.
The magazine is addressed to Jana.
The letter is addressed to Rini.
The flyer is addressed to Jana.
Correct option (0-indexed): 4
A summer program offers at least one of the following seven courses: geography, history, literature, mathematics, psychology, sociology, zoology. The following restrictions on the program must apply: If mathematics is offered, then either literature or sociology (but not both) is offered. If literature is offered, then geography is also offered but psychology is not. If sociology is offered, then psychology is also offered but zoology is not. If geography is offered, then both history and zoology are also offered.

Question: Which one of the following could be a complete and accurate list of the courses offered by the summer program?
Options:
history, psychology
geography, history, literature
history, mathematics, psychology
literature, mathematics, psychology
history, literature, mathematics, sociology
Correct option (0-indexed): 0
A summer program offers at least one of the following seven courses: geography, history, literature, mathematics, psychology, sociology, zoology. The following restrictions on the program must apply: If mathematics is offered, then either literature or sociology (but not both) is offered. If literature is offered, then geography is also offered but psychology is not. If sociology is offered, then psychology is also offered but zoology is not. If geography is offered, then both history and zoology are also offered.

Question: If the summer program offers literature, then which one of the following could be true?
Options:
Sociology is offered.
History is not offered.
Mathematics is not offered.
A total of two courses are offered.
Zoology is not offered.
Correct option (0-indexed): 2
A summer program offers at least one of the following seven courses: geography, history, literature, mathematics, psychology, sociology, zoology. The following restrictions on the program must apply: If mathematics is offered, then either literature or sociology (but not both) is offered. If literature is offered, then geography is also offered but psychology is not. If sociology is offered, then psychology is also offered but zoology is not. If geography is offered, then both history and zoology are also offered.

Question: If history is not offered by the summer program, then which one of the following is another course that CANNOT be offered?
Options:
literature
mathematics
psychology
sociology
zoology
Correct option (0-indexed): 0
A summer program offers at least one of the following seven courses: geography, history, literature, mathematics, psychology, sociology, zoology. The following restrictions on the program must apply: If mathematics is offered, then either literature or sociology (but not both) is offered. If literature is offered, then geography is also offered but psychology is not. If sociology is offered, then psychology is also offered but zoology is not. If geography is offered, then both history and zoology are also offered.

Question: If the summer program offers mathematics, then which one of the following must be true?
Options:
Literature is offered.
Psychology is offered.
Sociology is offered.
At least three courses are offered.
At most four courses are offered.
Correct option (0-indexed): 3
A summer program offers at least one of the following seven courses: geography, history, literature, mathematics, psychology, sociology, zoology. The following restrictions on the program must apply: If mathematics is offered, then either literature or sociology (but not both) is offered. If literature is offered, then geography is also offered but psychology is not. If sociology is offered, then psychology is also offered but zoology is not. If geography is offered, then both history and zoology are also offered.

Question: Which one of the following must be false of the summer program?
Options:
Both geography and psychology are offered.
Both geography and mathematics are offered.
Both psychology and mathematics are offered.
Both history and mathematics are offered.
Both geography and sociology are offered.
Correct option (0-indexed): 4
Exactly eight computer processor chips—F, G, H, J, K, L, M, and O—are ranked according to their speed from first (fastest) to eighth (slowest). The ranking must be consistent with the following: There are no ties. Either F or G is ranked first. M is not the slowest. H is faster than J, with exactly one chip intermediate in speed between them. K is faster than L, with exactly two chips intermediate in speed between them. O is slower than both J and L.

Question: Which one of the following could be true?
Options:
F is ranked first and M is ranked eighth.
G is ranked fifth and O is ranked eighth.
J is ranked third and L is ranked seventh.
K is ranked second and H is ranked third.
M is ranked seventh and L is ranked eighth.
Correct option (0-indexed): 1
Exactly eight computer processor chips—F, G, H, J, K, L, M, and O—are ranked according to their speed from first (fastest) to eighth (slowest). The ranking must be consistent with the following: There are no ties. Either F or G is ranked first. M is not the slowest. H is faster than J, with exactly one chip intermediate in speed between them. K is faster than L, with exactly two chips intermediate in speed between them. O is slower than both J and L.

Question: H CANNOT be ranked
Options:
second
third
fourth
fifth
sixth
Correct option (0-indexed): 4
Exactly eight computer processor chips—F, G, H, J, K, L, M, and O—are ranked according to their speed from first (fastest) to eighth (slowest). The ranking must be consistent with the following: There are no ties. Either F or G is ranked first. M is not the slowest. H is faster than J, with exactly one chip intermediate in speed between them. K is faster than L, with exactly two chips intermediate in speed between them. O is slower than both J and L.

Question: If O is faster than F, then which one of the following chips could be ranked second?
Options:
G
H
M
J
L
Correct option (0-indexed): 1
Exactly eight computer processor chips—F, G, H, J, K, L, M, and O—are ranked according to their speed from first (fastest) to eighth (slowest). The ranking must be consistent with the following: There are no ties. Either F or G is ranked first. M is not the slowest. H is faster than J, with exactly one chip intermediate in speed between them. K is faster than L, with exactly two chips intermediate in speed between them. O is slower than both J and L.

Question: If M is faster than J, then the fastest ranking J could have is
Options:
second
third
fourth
fifth
sixth
Correct option (0-indexed): 3
Exactly eight computer processor chips—F, G, H, J, K, L, M, and O—are ranked according to their speed from first (fastest) to eighth (slowest). The ranking must be consistent with the following: There are no ties. Either F or G is ranked first. M is not the slowest. H is faster than J, with exactly one chip intermediate in speed between them. K is faster than L, with exactly two chips intermediate in speed between them. O is slower than both J and L.

Question: Which one of the following must be true?
Options:
J is ranked no faster than fifth.
K is ranked no faster than third.
L is ranked no faster than fifth.
M is ranked no faster than third.
O is ranked no faster than eighth.
Correct option (0-indexed): 2
At each of six consecutive stops—1, 2, 3, 4, 5, and 6—that a traveler must make in that order as part of a trip, she can choose one from among exactly four airlines—L, M, N, and O—on which to continue. Her choices must conform to the following constraints: Whichever airline she chooses at a stop, she chooses one of the other airlines at the next stop. She chooses the same airline at stop 1 as she does at stop 6. She chooses the same airline at stop 2 as she does at stop 4. Whenever she chooses either L or M at a stop, she does not choose N at the next stop. At stop 5, she chooses N or O.

Question: Which one of the following could be an accurate list of the airlines the traveler chooses at each stop, in order from 1 through 6?
Options:
L, M, M, L, O, L
M, L, O, M, O, M
M, N, O, N, O, M
M, O, N, O, N, M
O, M, L, M, O, N
Correct option (0-indexed): 3
At each of six consecutive stops—1, 2, 3, 4, 5, and 6—that a traveler must make in that order as part of a trip, she can choose one from among exactly four airlines—L, M, N, and O—on which to continue. Her choices must conform to the following constraints: Whichever airline she chooses at a stop, she chooses one of the other airlines at the next stop. She chooses the same airline at stop 1 as she does at stop 6. She chooses the same airline at stop 2 as she does at stop 4. Whenever she chooses either L or M at a stop, she does not choose N at the next stop. At stop 5, she chooses N or O.

Question: If the traveler chooses N at stop 5, which one of the following could be an accurate list of the airlines she chooses at stops 1, 2, and 3, respectively?
Options:
L, M, N
L, O, N
M, L, N
M, L, O
N, O, N
Correct option (0-indexed): 1
At each of six consecutive stops—1, 2, 3, 4, 5, and 6—that a traveler must make in that order as part of a trip, she can choose one from among exactly four airlines—L, M, N, and O—on which to continue. Her choices must conform to the following constraints: Whichever airline she chooses at a stop, she chooses one of the other airlines at the next stop. She chooses the same airline at stop 1 as she does at stop 6. She chooses the same airline at stop 2 as she does at stop 4. Whenever she chooses either L or M at a stop, she does not choose N at the next stop. At stop 5, she chooses N or O.

Question: If the only airlines the traveler chooses for the trip are M, N, and O, and she chooses O at stop 5, then the airlines she chooses at stops 1, 2, and 3, must be, respectively,
Options:
M, O, and N
M, N, and O
N, M, and O
N, O, and M
O, M, and N
Correct option (0-indexed): 2
At each of six consecutive stops—1, 2, 3, 4, 5, and 6—that a traveler must make in that order as part of a trip, she can choose one from among exactly four airlines—L, M, N, and O—on which to continue. Her choices must conform to the following constraints: Whichever airline she chooses at a stop, she chooses one of the other airlines at the next stop. She chooses the same airline at stop 1 as she does at stop 6. She chooses the same airline at stop 2 as she does at stop 4. Whenever she chooses either L or M at a stop, she does not choose N at the next stop. At stop 5, she chooses N or O.

Question: Which one of the following CANNOT be an accurate list of the airlines the traveler chooses at stops 1 and 2, respectively?
Options:
L, M
L, O
M, L
M, O
O, N
Correct option (0-indexed): 4
At each of six consecutive stops—1, 2, 3, 4, 5, and 6—that a traveler must make in that order as part of a trip, she can choose one from among exactly four airlines—L, M, N, and O—on which to continue. Her choices must conform to the following constraints: Whichever airline she chooses at a stop, she chooses one of the other airlines at the next stop. She chooses the same airline at stop 1 as she does at stop 6. She chooses the same airline at stop 2 as she does at stop 4. Whenever she chooses either L or M at a stop, she does not choose N at the next stop. At stop 5, she chooses N or O.

Question: If the traveler chooses O at stop 2, which one of the following could be an accurate list of the airlines she chooses at stops 5 and 6, respectively?
Options:
M, N
N, L
N, O
O, L
O, N
Correct option (0-indexed): 1
The members of a five-person committee will be selected from among three parents—F, G, and H—three students—K, L, and M—and four teachers—U, W, X, and Z. The selection of committee members will meet the following conditions: The committee must include exactly one student. F and H cannot both be selected. M and Z cannot both be selected. U and W cannot both be selected. F cannot be selected unless Z is also selected. W cannot be selected unless H is also selected.

Question: Which one of the following is an acceptable selection of committee members?
Options:
F, G, K, L, Z
F, G, K, U, X
G, K, W, X, Z
H, K, U, W, X
H, L, W, X, Z
Correct option (0-indexed): 4
The members of a five-person committee will be selected from among three parents—F, G, and H—three students—K, L, and M—and four teachers—U, W, X, and Z. The selection of committee members will meet the following conditions: The committee must include exactly one student. F and H cannot both be selected. M and Z cannot both be selected. U and W cannot both be selected. F cannot be selected unless Z is also selected. W cannot be selected unless H is also selected.

Question: If W and Z are selected, which one of the following is a pair of people who could also be selected?
Options:
U and X
K and L
G and M
G and K
F and G
Correct option (0-indexed): 3
The members of a five-person committee will be selected from among three parents—F, G, and H—three students—K, L, and M—and four teachers—U, W, X, and Z. The selection of committee members will meet the following conditions: The committee must include exactly one student. F and H cannot both be selected. M and Z cannot both be selected. U and W cannot both be selected. F cannot be selected unless Z is also selected. W cannot be selected unless H is also selected.

Question: Which one of the following is a pair of people who CANNOT both be selected?
Options:
F and G
F and M
G and K
H and L
M and U
Correct option (0-indexed): 1
The members of a five-person committee will be selected from among three parents—F, G, and H—three students—K, L, and M—and four teachers—U, W, X, and Z. The selection of committee members will meet the following conditions: The committee must include exactly one student. F and H cannot both be selected. M and Z cannot both be selected. U and W cannot both be selected. F cannot be selected unless Z is also selected. W cannot be selected unless H is also selected.

Question: If W is selected, then any one of the following could also be selected EXCEPT:
Options:
F
G
L
M
Z
Correct option (0-indexed): 0
The members of a five-person committee will be selected from among three parents—F, G, and H—three students—K, L, and M—and four teachers—U, W, X, and Z. The selection of committee members will meet the following conditions: The committee must include exactly one student. F and H cannot both be selected. M and Z cannot both be selected. U and W cannot both be selected. F cannot be selected unless Z is also selected. W cannot be selected unless H is also selected.

Question: If the committee is to include exactly one parent, which one of the following is a person who must also be selected?
Options:
K
L
M
U
X
Correct option (0-indexed): 4
The members of a five-person committee will be selected from among three parents—F, G, and H—three students—K, L, and M—and four teachers—U, W, X, and Z. The selection of committee members will meet the following conditions: The committee must include exactly one student. F and H cannot both be selected. M and Z cannot both be selected. U and W cannot both be selected. F cannot be selected unless Z is also selected. W cannot be selected unless H is also selected.

Question: If M is selected, then the committee must also include both
Options:
F and G
G and H
H and K
K and U
U and X
Correct option (0-indexed): 1
Within a five-year period from 1991 to 1995, each of three friends—Ramon, Sue, and Taylor—graduated. In that period, each bought his or her first car. The graduations and car purchases must be consistent with the following: Ramon graduated in some year before the year in which Taylor graduated. Taylor graduated in some year before the year in which he bought his first car. Sue bought her first car in some year before the year in which she graduated. Ramon and Sue graduated in the same year as each other. At least one of the friends graduated in 1993.

Question: Which one of the following could be an accurate matching of each friend and the year in which she or he graduated?
Options:
Ramon: 1991; Sue: 1991; Taylor: 1993
Ramon: 1992; Sue: 1992; Taylor: 1993
Ramon: 1992; Sue: 1993; Taylor: 1994
Ramon: 1993; Sue: 1993; Taylor: 1992
Ramon: 1993; Sue: 1993; Taylor: 1995
Correct option (0-indexed): 1
Within a five-year period from 1991 to 1995, each of three friends—Ramon, Sue, and Taylor—graduated. In that period, each bought his or her first car. The graduations and car purchases must be consistent with the following: Ramon graduated in some year before the year in which Taylor graduated. Taylor graduated in some year before the year in which he bought his first car. Sue bought her first car in some year before the year in which she graduated. Ramon and Sue graduated in the same year as each other. At least one of the friends graduated in 1993.

Question: Which one of the following could have taken place in 1995?
Options:
Ramon graduated.
Ramon bought his first car.
Sue graduated.
Sue bought her first car.
Taylor graduated.
Correct option (0-indexed): 1
Within a five-year period from 1991 to 1995, each of three friends—Ramon, Sue, and Taylor—graduated. In that period, each bought his or her first car. The graduations and car purchases must be consistent with the following: Ramon graduated in some year before the year in which Taylor graduated. Taylor graduated in some year before the year in which he bought his first car. Sue bought her first car in some year before the year in which she graduated. Ramon and Sue graduated in the same year as each other. At least one of the friends graduated in 1993.

Question: Which one of the following must be false?
Options:
Two of the friends each bought his or her first car in 1991.
Two of the friends each bought his or her first car in 1992.
Two of the friends each bought his or her first car in 1993.
Two of the friends each bought his or her first car in 1994.
Two of the friends each bought his or her first car in 1995.
Correct option (0-indexed): 2
Within a five-year period from 1991 to 1995, each of three friends—Ramon, Sue, and Taylor—graduated. In that period, each bought his or her first car. The graduations and car purchases must be consistent with the following: Ramon graduated in some year before the year in which Taylor graduated. Taylor graduated in some year before the year in which he bought his first car. Sue bought her first car in some year before the year in which she graduated. Ramon and Sue graduated in the same year as each other. At least one of the friends graduated in 1993.

Question: Which one of the following must be true?
Options:
None of the three friends graduated in 1991.
None of the three friends graduated in 1992.
None of the three friends bought his or her first car in 1993.
None of the three friends graduated in 1994.
None of the three friends bought his or her first car in 1995.
Correct option (0-indexed): 0
Within a five-year period from 1991 to 1995, each of three friends—Ramon, Sue, and Taylor—graduated. In that period, each bought his or her first car. The graduations and car purchases must be consistent with the following: Ramon graduated in some year before the year in which Taylor graduated. Taylor graduated in some year before the year in which he bought his first car. Sue bought her first car in some year before the year in which she graduated. Ramon and Sue graduated in the same year as each other. At least one of the friends graduated in 1993.

Question: If Taylor graduated in the same year that Ramon bought his first car, then each of the following could be true EXCEPT:
Options:
Sue bought her first car in 1991.
Ramon graduated in 1992.
Taylor graduated in 1993.
Taylor bought his first car in 1994.
Ramon bought his first car in 1995.
Correct option (0-indexed): 4