benlipkin/arlsat huggingface dataset:
Five executives—Quinn, Rodriguez, Sasada, Taylor, and Vandercar—are being scheduled to make site visits to three of their company's manufacturing plants—Farmington, Homestead, and Morningside. Each site will be visited by at least one of the executives and each executive will visit just one site. Each of the three site visits will take place on a different day. The schedule of site visits must conform to the following requirements: The Farmington visit must take place before the Homestead visit. The Farmington visit will include only one of the executives. The site visit that includes Quinn must take place before any site visit that includes either Rodriguez or Taylor. The site visit that includes Sasada cannot take place after any site visit that includes Vandercar.

Question: The executives who visit Homestead CANNOT be
Options:
Quinn and Vandercar only
Rodriguez and Taylor only
Sasada and Taylor only
Quinn, Sasada, and Vandercar
Rodriguez, Sasada, and Taylor
Correct option (0-indexed): 3
Five executives—Quinn, Rodriguez, Sasada, Taylor, and Vandercar—are being scheduled to make site visits to three of their company's manufacturing plants—Farmington, Homestead, and Morningside. Each site will be visited by at least one of the executives and each executive will visit just one site. Each of the three site visits will take place on a different day. The schedule of site visits must conform to the following requirements: The Farmington visit must take place before the Homestead visit. The Farmington visit will include only one of the executives. The site visit that includes Quinn must take place before any site visit that includes either Rodriguez or Taylor. The site visit that includes Sasada cannot take place after any site visit that includes Vandercar.

Question: If the Morningside visit includes both Quinn and Vandercar, which one of the following could be true?
Options:
One of the site visits includes both Rodriguez and Sasada.
The second of the three site visits includes exactly three of the executives.
The last of the three site visits includes exactly three of the executives.
The Homestead visit takes place earlier than the Morningside visit.
The Morningside visit takes place earlier than the Farmington visit.
Correct option (0-indexed): 4
Five executives—Quinn, Rodriguez, Sasada, Taylor, and Vandercar—are being scheduled to make site visits to three of their company's manufacturing plants—Farmington, Homestead, and Morningside. Each site will be visited by at least one of the executives and each executive will visit just one site. Each of the three site visits will take place on a different day. The schedule of site visits must conform to the following requirements: The Farmington visit must take place before the Homestead visit. The Farmington visit will include only one of the executives. The site visit that includes Quinn must take place before any site visit that includes either Rodriguez or Taylor. The site visit that includes Sasada cannot take place after any site visit that includes Vandercar.

Question: Which one of the following must be true?
Options:
The Farmington visit takes place earlier than the Morningside visit.
The site visit that includes Vandercar takes place earlier than the site visit that includes Rodriguez.
One of the first two site visits includes Sasada.
The second of the three site visits includes at least two of the executives.
At least one of the first two site visits includes only one of the executives.
Correct option (0-indexed): 4
Five executives—Quinn, Rodriguez, Sasada, Taylor, and Vandercar—are being scheduled to make site visits to three of their company's manufacturing plants—Farmington, Homestead, and Morningside. Each site will be visited by at least one of the executives and each executive will visit just one site. Each of the three site visits will take place on a different day. The schedule of site visits must conform to the following requirements: The Farmington visit must take place before the Homestead visit. The Farmington visit will include only one of the executives. The site visit that includes Quinn must take place before any site visit that includes either Rodriguez or Taylor. The site visit that includes Sasada cannot take place after any site visit that includes Vandercar.

Question: If the Farmington visit includes Sasada, which one of the following must be true?
Options:
One of the site visits includes exactly three of the executives.
The last of the three site visits includes Rodriguez.
The Homestead visit includes Quinn.
The Morningside visit includes Taylor.
The site visit that includes Vandercar also includes Quinn.
Correct option (0-indexed): 1
On a particular Saturday, a student will perform six activities—grocery shopping, hedge trimming, jogging, kitchen cleaning, laundry, and motorbike servicing. Each activity will be performed once, one at a time. The order in which the activities are performed is subject to the following conditions: Grocery shopping has to be immediately after hedge trimming. Kitchen cleaning has to be earlier than grocery shopping. Motorbike servicing has to be earlier than laundry. Motorbike servicing has to be either immediately before or immediately after jogging.

Question: Which one of the following could be the order, from first to last, of the student's activities?
Options:
jogging, kitchen cleaning, hedge trimming, grocery shopping, motorbike servicing, laundry
jogging, motorbike servicing, laundry, hedge trimming, grocery shopping, kitchen cleaning
kitchen cleaning, hedge trimming, grocery shopping, laundry, motorbike servicing, jogging
kitchen cleaning, jogging, motorbike servicing, laundry, hedge trimming, grocery shopping
motorbike servicing, jogging, laundry, hedge trimming, kitchen cleaning, grocery shopping
Correct option (0-indexed): 3
On a particular Saturday, a student will perform six activities—grocery shopping, hedge trimming, jogging, kitchen cleaning, laundry, and motorbike servicing. Each activity will be performed once, one at a time. The order in which the activities are performed is subject to the following conditions: Grocery shopping has to be immediately after hedge trimming. Kitchen cleaning has to be earlier than grocery shopping. Motorbike servicing has to be earlier than laundry. Motorbike servicing has to be either immediately before or immediately after jogging.

Question: Which one of the following activities CANNOT be third?
Options:
grocery shopping
hedge trimming
jogging
kitchen cleaning
motorbike servicing
Correct option (0-indexed): 1
On a particular Saturday, a student will perform six activities—grocery shopping, hedge trimming, jogging, kitchen cleaning, laundry, and motorbike servicing. Each activity will be performed once, one at a time. The order in which the activities are performed is subject to the following conditions: Grocery shopping has to be immediately after hedge trimming. Kitchen cleaning has to be earlier than grocery shopping. Motorbike servicing has to be earlier than laundry. Motorbike servicing has to be either immediately before or immediately after jogging.

Question: Which one of the following CANNOT be true?
Options:
Hedge trimming is fourth.
Jogging is fourth.
Kitchen cleaning is second.
Laundry is third.
Motorbike servicing is second.
Correct option (0-indexed): 2
On a particular Saturday, a student will perform six activities—grocery shopping, hedge trimming, jogging, kitchen cleaning, laundry, and motorbike servicing. Each activity will be performed once, one at a time. The order in which the activities are performed is subject to the following conditions: Grocery shopping has to be immediately after hedge trimming. Kitchen cleaning has to be earlier than grocery shopping. Motorbike servicing has to be earlier than laundry. Motorbike servicing has to be either immediately before or immediately after jogging.

Question: Which one of the following activities CANNOT be fifth?
Options:
grocery shopping
hedge trimming
jogging
laundry
motorbike servicing
Correct option (0-indexed): 3
On a particular Saturday, a student will perform six activities—grocery shopping, hedge trimming, jogging, kitchen cleaning, laundry, and motorbike servicing. Each activity will be performed once, one at a time. The order in which the activities are performed is subject to the following conditions: Grocery shopping has to be immediately after hedge trimming. Kitchen cleaning has to be earlier than grocery shopping. Motorbike servicing has to be earlier than laundry. Motorbike servicing has to be either immediately before or immediately after jogging.

Question: Which one of the following, if substituted for the condition that motorbike servicing has to be earlier than laundry, would have the same effect in determining the order of the student's activities?
Options:
Laundry has to be one of the last three activities.
Laundry has to be either immediately before or immediately after jogging.
Jogging has to be earlier than laundry.
Laundry has to be earlier than hedge trimming.
Laundry has to be earlier than jogging.
Correct option (0-indexed): 2
Each of exactly three actors—Gombrich, Otto, and Raines—auditions for parts on exactly two of the following days of a particular week: Wednesday, Thursday, Friday, and Saturday. On each of these days at least one of the actors auditions for parts. The order of that week's auditions must meet the following conditions: The first day on which Otto auditions is some day before the first day on which Raines auditions. There is at least one day on which both Gombrich and Raines audition. At least one of the actors auditions on both Thursday and Saturday.

Question: Which one of the following could be an accurate matching of the actors to the days on which they audition?
Options:
Gombrich: Thursday, Friday Otto: Wednesday, Saturday Raines: Friday, Saturday
Gombrich: Thursday, Saturday Otto: Wednesday, Friday Raines: Friday, Saturday
Gombrich: Friday, Saturday Otto: Thursday, Saturday Raines: Wednesday, Friday
Gombrich: Wednesday, Thursday Otto: Wednesday, Saturday Raines: Thursday, Saturday
Gombrich: Wednesday, Friday Otto: Wednesday, Thursday Raines: Thursday, Saturday
Correct option (0-indexed): 1
Each of exactly three actors—Gombrich, Otto, and Raines—auditions for parts on exactly two of the following days of a particular week: Wednesday, Thursday, Friday, and Saturday. On each of these days at least one of the actors auditions for parts. The order of that week's auditions must meet the following conditions: The first day on which Otto auditions is some day before the first day on which Raines auditions. There is at least one day on which both Gombrich and Raines audition. At least one of the actors auditions on both Thursday and Saturday.

Question: If Otto auditions on both Thursday and Saturday, then Gombrich could audition on both
Options:
Wednesday and Thursday
Wednesday and Friday
Thursday and Friday
Thursday and Saturday
Friday and Saturday
Correct option (0-indexed): 1
Each of exactly three actors—Gombrich, Otto, and Raines—auditions for parts on exactly two of the following days of a particular week: Wednesday, Thursday, Friday, and Saturday. On each of these days at least one of the actors auditions for parts. The order of that week's auditions must meet the following conditions: The first day on which Otto auditions is some day before the first day on which Raines auditions. There is at least one day on which both Gombrich and Raines audition. At least one of the actors auditions on both Thursday and Saturday.

Question: Which one of the following CANNOT be true of the week's auditions?
Options:
Gombrich's last audition is on Thursday.
Gombrich's last audition is on Friday.
Otto's last audition is on Saturday.
Raines's last audition is on Friday.
Raines's last audition is on Thursday.
Correct option (0-indexed): 4
Each of exactly three actors—Gombrich, Otto, and Raines—auditions for parts on exactly two of the following days of a particular week: Wednesday, Thursday, Friday, and Saturday. On each of these days at least one of the actors auditions for parts. The order of that week's auditions must meet the following conditions: The first day on which Otto auditions is some day before the first day on which Raines auditions. There is at least one day on which both Gombrich and Raines audition. At least one of the actors auditions on both Thursday and Saturday.

Question: Which one of the following pairs of days CANNOT be the two days on which Otto auditions?
Options:
Wednesday and Thursday
Wednesday and Friday
Wednesday and Saturday
Thursday and Friday
Thursday and Saturday
Correct option (0-indexed): 3
Each of exactly three actors—Gombrich, Otto, and Raines—auditions for parts on exactly two of the following days of a particular week: Wednesday, Thursday, Friday, and Saturday. On each of these days at least one of the actors auditions for parts. The order of that week's auditions must meet the following conditions: The first day on which Otto auditions is some day before the first day on which Raines auditions. There is at least one day on which both Gombrich and Raines audition. At least one of the actors auditions on both Thursday and Saturday.

Question: Which one of the following could be true?
Options:
All three actors audition on Wednesday.
All three actors audition on Friday.
All three actors audition on Saturday.
Otto auditions on Friday and on Saturday.
Raines auditions on Wednesday and on Friday.
Correct option (0-indexed): 2
Each of exactly three actors—Gombrich, Otto, and Raines—auditions for parts on exactly two of the following days of a particular week: Wednesday, Thursday, Friday, and Saturday. On each of these days at least one of the actors auditions for parts. The order of that week's auditions must meet the following conditions: The first day on which Otto auditions is some day before the first day on which Raines auditions. There is at least one day on which both Gombrich and Raines audition. At least one of the actors auditions on both Thursday and Saturday.

Question: If Gombrich auditions on both Wednesday and Saturday, then which one of the following could be true?
Options:
Otto auditions on both Wednesday and Thursday.
Otto auditions on both Wednesday and Friday.
Otto auditions on both Wednesday and Saturday.
Raines auditions on both Wednesday and Saturday.
Raines auditions on both Thursday and Friday.
Correct option (0-indexed): 1
Each of seven toy dinosaurs—an iguanadon, a lambeosaur, a plateosaur, a stegosaur, a tyrannosaur, an ultrasaur, and a velociraptor—is completely colored either green, mauve, red, or yellow. A display is to consist entirely of exactly five of these toys. The display must meet the following specifications: Exactly two mauve toys are included. The stegosaur is red and is included. The iguanadon is included only if it is green. The plateosaur is included only if it is yellow. The velociraptor is included only if the ultrasaur is not. If both the lambeosaur and the ultrasaur are included, at least one of them is not mauve.

Question: Which one of the following could be the toys included in the display?
Options:
the lambeosaur, the plateosaur, the stegosaur, the ultrasaur, the velociraptor
the lambeosaur, the plateosaur, the stegosaur, the tyrannosaur, the ultrasaur
the iguanadon, the lambeosaur, the plateosaur, the stegosaur, the ultrasaur
the iguanadon, the lambeosaur, the plateosaur, the tyrannosaur, the velociraptor
the iguanadon, the lambeosaur, the stegosaur, the ultrasaur, the velociraptor
Correct option (0-indexed): 1
Each of seven toy dinosaurs—an iguanadon, a lambeosaur, a plateosaur, a stegosaur, a tyrannosaur, an ultrasaur, and a velociraptor—is completely colored either green, mauve, red, or yellow. A display is to consist entirely of exactly five of these toys. The display must meet the following specifications: Exactly two mauve toys are included. The stegosaur is red and is included. The iguanadon is included only if it is green. The plateosaur is included only if it is yellow. The velociraptor is included only if the ultrasaur is not. If both the lambeosaur and the ultrasaur are included, at least one of them is not mauve.

Question: If the tyrannosaur is not included in the display, then the display must contain each of the following EXCEPT:
Options:
a green iguanadon
a mauve velociraptor
a mauve lambeosaur
a mauve ultrasaur
a yellow plateosaur
Correct option (0-indexed): 3
Each of seven toy dinosaurs—an iguanadon, a lambeosaur, a plateosaur, a stegosaur, a tyrannosaur, an ultrasaur, and a velociraptor—is completely colored either green, mauve, red, or yellow. A display is to consist entirely of exactly five of these toys. The display must meet the following specifications: Exactly two mauve toys are included. The stegosaur is red and is included. The iguanadon is included only if it is green. The plateosaur is included only if it is yellow. The velociraptor is included only if the ultrasaur is not. If both the lambeosaur and the ultrasaur are included, at least one of them is not mauve.

Question: Which one of the following is a pair of toys that could be included in the display together?
Options:
a green lambeosaur and a mauve velociraptor
a green lambeosaur and a yellow tyrannosaur
a green lambeosaur and a yellow ultrasaur
a yellow tyrannosaur and a green ultrasaur
a yellow tyrannosaur and a red velociraptor
Correct option (0-indexed): 0
Each of seven toy dinosaurs—an iguanadon, a lambeosaur, a plateosaur, a stegosaur, a tyrannosaur, an ultrasaur, and a velociraptor—is completely colored either green, mauve, red, or yellow. A display is to consist entirely of exactly five of these toys. The display must meet the following specifications: Exactly two mauve toys are included. The stegosaur is red and is included. The iguanadon is included only if it is green. The plateosaur is included only if it is yellow. The velociraptor is included only if the ultrasaur is not. If both the lambeosaur and the ultrasaur are included, at least one of them is not mauve.

Question: If the display includes a yellow tyrannosaur, then which one of the following must be true?
Options:
The iguanadon is included in the display.
The plateosaur is not included in the display.
The display includes two yellow toy dinosaurs.
The display contains a green lambeosaur.
The display contains a mauve velociraptor.
Correct option (0-indexed): 4
Each of seven toy dinosaurs—an iguanadon, a lambeosaur, a plateosaur, a stegosaur, a tyrannosaur, an ultrasaur, and a velociraptor—is completely colored either green, mauve, red, or yellow. A display is to consist entirely of exactly five of these toys. The display must meet the following specifications: Exactly two mauve toys are included. The stegosaur is red and is included. The iguanadon is included only if it is green. The plateosaur is included only if it is yellow. The velociraptor is included only if the ultrasaur is not. If both the lambeosaur and the ultrasaur are included, at least one of them is not mauve.

Question: If both the iguanadon and the ultrasaur are included in the display, then the display must contain which one of the following?
Options:
a mauve tyrannosaur
a mauve ultrasaur
a yellow lambeosaur
a yellow plateosaur
a yellow ultrasaur
Correct option (0-indexed): 0
Each of seven toy dinosaurs—an iguanadon, a lambeosaur, a plateosaur, a stegosaur, a tyrannosaur, an ultrasaur, and a velociraptor—is completely colored either green, mauve, red, or yellow. A display is to consist entirely of exactly five of these toys. The display must meet the following specifications: Exactly two mauve toys are included. The stegosaur is red and is included. The iguanadon is included only if it is green. The plateosaur is included only if it is yellow. The velociraptor is included only if the ultrasaur is not. If both the lambeosaur and the ultrasaur are included, at least one of them is not mauve.

Question: If the display includes two green toys, then which one of the following could be true?
Options:
There is exactly one yellow toy included in the display.
The tyrannosaur is included in the display and it is green.
Neither the lambeosaur nor the velociraptor is included in the display.
Neither the tyrannosaur nor the velociraptor is included in the display.
Neither the ultrasaur nor the velociraptor is included in the display.
Correct option (0-indexed): 1
A charitable foundation awards grants in exactly four areas—medical services, theater arts, wildlife preservation, and youth services—each grant being in one of these areas. One or more grants are awarded in each of the four quarters of a calendar year. Additionally, over the course of a calendar year, the following must obtain: Grants are awarded in all four areas. No more than six grants are awarded. No grants in the same area are awarded in the same quarter or in consecutive quarters. Exactly two medical services grants are awarded. A wildlife preservation grant is awarded in the second quarter.

Question: Which one of the following is a possible allocation of grants in a particular calendar year?
Options:
first quarter: theater arts second quarter: wildlife preservation third quarter: medical services, youth services fourth quarter: theater arts
first quarter: wildlife preservation second quarter: medical services third quarter: theater arts fourth quarter: medical services, youth services
first quarter: youth services second quarter: wildlife preservation, medical services third quarter: theater arts fourth quarter: medical services, youth services
first quarter: medical services, theater arts second quarter: theater arts, wildlife preservation third quarter: youth services fourth quarter: medical services
first quarter: medical services, theater arts second quarter: wildlife preservation, youth services third quarter: theater arts fourth quarter: medical services, youth services
Correct option (0-indexed): 2
A charitable foundation awards grants in exactly four areas—medical services, theater arts, wildlife preservation, and youth services—each grant being in one of these areas. One or more grants are awarded in each of the four quarters of a calendar year. Additionally, over the course of a calendar year, the following must obtain: Grants are awarded in all four areas. No more than six grants are awarded. No grants in the same area are awarded in the same quarter or in consecutive quarters. Exactly two medical services grants are awarded. A wildlife preservation grant is awarded in the second quarter.

Question: Which one of the following CANNOT be true in a particular calendar year?
Options:
In each of the two quarters in which a medical services grant is awarded, no other grant is awarded.
Exactly two theater arts grants are awarded, one in the second quarter and one in the fourth quarter.
Exactly two youth services grants are awarded, one in the first quarter and one in the third quarter.
Two wildlife preservation grants and two youth services grants are awarded.
Three grants are awarded in the fourth quarter.
Correct option (0-indexed): 3
A charitable foundation awards grants in exactly four areas—medical services, theater arts, wildlife preservation, and youth services—each grant being in one of these areas. One or more grants are awarded in each of the four quarters of a calendar year. Additionally, over the course of a calendar year, the following must obtain: Grants are awarded in all four areas. No more than six grants are awarded. No grants in the same area are awarded in the same quarter or in consecutive quarters. Exactly two medical services grants are awarded. A wildlife preservation grant is awarded in the second quarter.

Question: If a wildlife preservation grant and a youth services grant are awarded in the same quarter of a particular calendar year, then any of the following could be true that year EXCEPT:
Options:
A medical services grant is awarded in the second quarter.
A theater arts grant is awarded in the first quarter.
A theater arts grant is awarded in the second quarter.
A wildlife preservation grant is awarded in the fourth quarter.
A youth services grant is awarded in the third quarter.
Correct option (0-indexed): 4
A charitable foundation awards grants in exactly four areas—medical services, theater arts, wildlife preservation, and youth services—each grant being in one of these areas. One or more grants are awarded in each of the four quarters of a calendar year. Additionally, over the course of a calendar year, the following must obtain: Grants are awarded in all four areas. No more than six grants are awarded. No grants in the same area are awarded in the same quarter or in consecutive quarters. Exactly two medical services grants are awarded. A wildlife preservation grant is awarded in the second quarter.

Question: If exactly two grants are awarded in just one of the four quarters of a particular calendar year, then which one of the following could be true that year?
Options:
Two youth services grants are awarded.
Neither a medical services grant nor a youth services grant is awarded in the first quarter.
A wildlife preservation grant is awarded in the fourth quarter.
Both a youth services grant and a theater arts grant are awarded in the first quarter.
A youth services grant is awarded in the first quarter and a theater arts grant is awarded in the second quarter.
Correct option (0-indexed): 1
A charitable foundation awards grants in exactly four areas—medical services, theater arts, wildlife preservation, and youth services—each grant being in one of these areas. One or more grants are awarded in each of the four quarters of a calendar year. Additionally, over the course of a calendar year, the following must obtain: Grants are awarded in all four areas. No more than six grants are awarded. No grants in the same area are awarded in the same quarter or in consecutive quarters. Exactly two medical services grants are awarded. A wildlife preservation grant is awarded in the second quarter.

Question: Which one of the following CANNOT be true in a particular calendar year?
Options:
Three grants are awarded in a quarter, none of which is a medical services grant.
Exactly two grants are awarded in the first quarter and exactly two in the third quarter.
Exactly two grants are awarded in the first quarter and exactly two in the fourth quarter.
Theater arts grants are awarded in the first and fourth quarters, and no other grants are awarded in those two quarters.
Wildlife preservation grants are awarded in the second and fourth quarters, and no other grants are awarded in those two quarters.
Correct option (0-indexed): 3
A charitable foundation awards grants in exactly four areas—medical services, theater arts, wildlife preservation, and youth services—each grant being in one of these areas. One or more grants are awarded in each of the four quarters of a calendar year. Additionally, over the course of a calendar year, the following must obtain: Grants are awarded in all four areas. No more than six grants are awarded. No grants in the same area are awarded in the same quarter or in consecutive quarters. Exactly two medical services grants are awarded. A wildlife preservation grant is awarded in the second quarter.

Question: It is fully determined which grants are awarded for each quarter of a particular calendar year if which one of the following is true that year?
Options:
Two theater arts grants are awarded.
Two youth services grants are awarded.
Three grants are awarded in the first quarter.
Three grants are awarded in the second quarter.
Three grants are awarded in the third quarter.
Correct option (0-indexed): 4
Historical records show that over the course of five consecutive years—601, 602, 603, 604, and 605—a certain emperor began construction of six monuments: F, G, H, L, M, and S. A historian is trying to determine the years in which the individual monuments were begun. The following facts have been established: L was begun in a later year than G, but in an earlier year than F. H was begun no earlier than 604. M was begun earlier than 604. Two of the monuments were begun in 601, and no other monument was begun in the same year as any of the other monuments.

Question: Which one of the following could be an accurate matching of monuments to the years in which they were begun?
Options:
601: G; 602: L, S; 603: M; 604: H; 605: F
601: G, M; 602: L; 603: H; 604: S; 605: F
601: G, M; 602: S; 603: F; 604: L; 605: H
601: G, S; 602: L; 603: F; 604: M; 605: H
601: G, S; 602: L; 603: M; 604: H; 605: F
Correct option (0-indexed): 4
Historical records show that over the course of five consecutive years—601, 602, 603, 604, and 605—a certain emperor began construction of six monuments: F, G, H, L, M, and S. A historian is trying to determine the years in which the individual monuments were begun. The following facts have been established: L was begun in a later year than G, but in an earlier year than F. H was begun no earlier than 604. M was begun earlier than 604. Two of the monuments were begun in 601, and no other monument was begun in the same year as any of the other monuments.

Question: What is the latest year in which L could have been begun?
Options:
601
602
603
604
605
Correct option (0-indexed): 2
Historical records show that over the course of five consecutive years—601, 602, 603, 604, and 605—a certain emperor began construction of six monuments: F, G, H, L, M, and S. A historian is trying to determine the years in which the individual monuments were begun. The following facts have been established: L was begun in a later year than G, but in an earlier year than F. H was begun no earlier than 604. M was begun earlier than 604. Two of the monuments were begun in 601, and no other monument was begun in the same year as any of the other monuments.

Question: The years in which each of the monuments were begun can be completely determined if which one of the following is discovered to be true?
Options:
F was begun in 603.
G was begun in 602.
H was begun in 605.
M was begun in 602.
S was begun in 604.
Correct option (0-indexed): 4
Historical records show that over the course of five consecutive years—601, 602, 603, 604, and 605—a certain emperor began construction of six monuments: F, G, H, L, M, and S. A historian is trying to determine the years in which the individual monuments were begun. The following facts have been established: L was begun in a later year than G, but in an earlier year than F. H was begun no earlier than 604. M was begun earlier than 604. Two of the monuments were begun in 601, and no other monument was begun in the same year as any of the other monuments.

Question: Which one of the following must be true?
Options:
F was begun in a later year than M.
F was begun in a later year than S.
H was begun in a later year than F.
H was begun in a later year than S.
M was begun in a later year than G.
Correct option (0-indexed): 0
Historical records show that over the course of five consecutive years—601, 602, 603, 604, and 605—a certain emperor began construction of six monuments: F, G, H, L, M, and S. A historian is trying to determine the years in which the individual monuments were begun. The following facts have been established: L was begun in a later year than G, but in an earlier year than F. H was begun no earlier than 604. M was begun earlier than 604. Two of the monuments were begun in 601, and no other monument was begun in the same year as any of the other monuments.

Question: L must be the monument that was begun in 602 if which one of the following is true?
Options:
F was begun in 605.
G was begun in 601.
H was begun in 604.
M was begun in 601.
S was begun in 603.
Correct option (0-indexed): 4
Historical records show that over the course of five consecutive years—601, 602, 603, 604, and 605—a certain emperor began construction of six monuments: F, G, H, L, M, and S. A historian is trying to determine the years in which the individual monuments were begun. The following facts have been established: L was begun in a later year than G, but in an earlier year than F. H was begun no earlier than 604. M was begun earlier than 604. Two of the monuments were begun in 601, and no other monument was begun in the same year as any of the other monuments.

Question: If M was begun in a later year than L, then which one of the following could be true?
Options:
F was begun in 603.
G was begun in 602.
H was begun in 605.
L was begun in 603.
S was begun in 604.
Correct option (0-indexed): 2
A company organizing on-site day care consults with a group of parents composed exclusively of volunteers from among the seven employees—Felicia, Leah, Masatomo, Rochelle, Salman, Terry, and Veena—who have become parents this year. The composition of the volunteer group must be consistent with the following: If Rochelle volunteers, then so does Masatomo. If Masatomo volunteers, then so does Terry. If Salman does not volunteer, then Veena volunteers. If Rochelle does not volunteer, then Leah volunteers. If Terry volunteers, then neither Felicia nor Veena volunteers.

Question: Which one of the following could be a complete and accurate list of the volunteers?
Options:
Felicia, Salman
Masatomo, Rochelle
Leah, Salman, Terry
Salman, Rochelle, Veena
Leah, Salman, Terry, Veena
Correct option (0-indexed): 2
A company organizing on-site day care consults with a group of parents composed exclusively of volunteers from among the seven employees—Felicia, Leah, Masatomo, Rochelle, Salman, Terry, and Veena—who have become parents this year. The composition of the volunteer group must be consistent with the following: If Rochelle volunteers, then so does Masatomo. If Masatomo volunteers, then so does Terry. If Salman does not volunteer, then Veena volunteers. If Rochelle does not volunteer, then Leah volunteers. If Terry volunteers, then neither Felicia nor Veena volunteers.

Question: If Veena volunteers, then which one of the following could be true?
Options:
Felicia and Rochelle also volunteer.
Felicia and Salman also volunteer.
Leah and Masatomo also volunteer.
Leah and Terry also volunteer.
Salman and Terry also volunteer.
Correct option (0-indexed): 1
A company organizing on-site day care consults with a group of parents composed exclusively of volunteers from among the seven employees—Felicia, Leah, Masatomo, Rochelle, Salman, Terry, and Veena—who have become parents this year. The composition of the volunteer group must be consistent with the following: If Rochelle volunteers, then so does Masatomo. If Masatomo volunteers, then so does Terry. If Salman does not volunteer, then Veena volunteers. If Rochelle does not volunteer, then Leah volunteers. If Terry volunteers, then neither Felicia nor Veena volunteers.

Question: If Terry does not volunteer, then which one of the following CANNOT be true?
Options:
Felicia volunteers.
Leah volunteers.
Rochelle volunteers.
Salman volunteers.
Veena volunteers.
Correct option (0-indexed): 2
A company organizing on-site day care consults with a group of parents composed exclusively of volunteers from among the seven employees—Felicia, Leah, Masatomo, Rochelle, Salman, Terry, and Veena—who have become parents this year. The composition of the volunteer group must be consistent with the following: If Rochelle volunteers, then so does Masatomo. If Masatomo volunteers, then so does Terry. If Salman does not volunteer, then Veena volunteers. If Rochelle does not volunteer, then Leah volunteers. If Terry volunteers, then neither Felicia nor Veena volunteers.

Question: If Masatomo volunteers, then which one of the following could be true?
Options:
Felicia volunteers.
Leah volunteers.
Veena volunteers.
Salman does not volunteer.
Terry does not volunteer.
Correct option (0-indexed): 1
A company organizing on-site day care consults with a group of parents composed exclusively of volunteers from among the seven employees—Felicia, Leah, Masatomo, Rochelle, Salman, Terry, and Veena—who have become parents this year. The composition of the volunteer group must be consistent with the following: If Rochelle volunteers, then so does Masatomo. If Masatomo volunteers, then so does Terry. If Salman does not volunteer, then Veena volunteers. If Rochelle does not volunteer, then Leah volunteers. If Terry volunteers, then neither Felicia nor Veena volunteers.

Question: If Felicia volunteers, then which one of the following must be true?
Options:
Leah volunteers.
Salman volunteers.
Veena does not volunteer.
Exactly three of the employees volunteer.
Exactly four of the employees volunteer.
Correct option (0-indexed): 0
A company organizing on-site day care consults with a group of parents composed exclusively of volunteers from among the seven employees—Felicia, Leah, Masatomo, Rochelle, Salman, Terry, and Veena—who have become parents this year. The composition of the volunteer group must be consistent with the following: If Rochelle volunteers, then so does Masatomo. If Masatomo volunteers, then so does Terry. If Salman does not volunteer, then Veena volunteers. If Rochelle does not volunteer, then Leah volunteers. If Terry volunteers, then neither Felicia nor Veena volunteers.

Question: Which one of the following pairs of employees is such that at least one member of the pair volunteers?
Options:
Felicia and Terry
Leah and Masatomo
Leah and Veena
Rochelle and Salman
Salman and Terry
Correct option (0-indexed): 1
Flyhigh Airlines owns exactly two planes: P and Q. Getaway Airlines owns exactly three planes: R, S, T. On Sunday, each plane makes exactly one flight, according to the following conditions: Only one plane departs at a time. Each plane makes either a domestic or an international flight, but not both. Plane P makes an international flight. Planes Q and R make domestic flights. All international flights depart before any domestic flight. Any Getaway domestic flight departs before Flyhigh's domestic flight.

Question: Which one of the following could be the order, from first to last, in which the five planes depart?
Options:
P, Q, R, S, T
P, Q, T, S, R
P, S, T, Q, R
P, S, T, R, Q
T, S, R, P, Q
Correct option (0-indexed): 3
Flyhigh Airlines owns exactly two planes: P and Q. Getaway Airlines owns exactly three planes: R, S, T. On Sunday, each plane makes exactly one flight, according to the following conditions: Only one plane departs at a time. Each plane makes either a domestic or an international flight, but not both. Plane P makes an international flight. Planes Q and R make domestic flights. All international flights depart before any domestic flight. Any Getaway domestic flight departs before Flyhigh's domestic flight.

Question: The plane that departs second could be any one of exactly how many of the planes?
Options:
one
two
three
four
five
Correct option (0-indexed): 3
Flyhigh Airlines owns exactly two planes: P and Q. Getaway Airlines owns exactly three planes: R, S, T. On Sunday, each plane makes exactly one flight, according to the following conditions: Only one plane departs at a time. Each plane makes either a domestic or an international flight, but not both. Plane P makes an international flight. Planes Q and R make domestic flights. All international flights depart before any domestic flight. Any Getaway domestic flight departs before Flyhigh's domestic flight.

Question: If plane S departs sometime before plane P, then which one of the following must be false?
Options:
Plane S departs first.
Plane S departs third.
Plane T departs second.
Plane T departs third.
Plane T departs fourth.
Correct option (0-indexed): 1
Flyhigh Airlines owns exactly two planes: P and Q. Getaway Airlines owns exactly three planes: R, S, T. On Sunday, each plane makes exactly one flight, according to the following conditions: Only one plane departs at a time. Each plane makes either a domestic or an international flight, but not both. Plane P makes an international flight. Planes Q and R make domestic flights. All international flights depart before any domestic flight. Any Getaway domestic flight departs before Flyhigh's domestic flight.

Question: Which one of the following must be true?
Options:
Plane P departs first.
Plane Q departs last.
Plane R departs second.
Plane S departs first.
Plane T departs fourth.
Correct option (0-indexed): 1
Flyhigh Airlines owns exactly two planes: P and Q. Getaway Airlines owns exactly three planes: R, S, T. On Sunday, each plane makes exactly one flight, according to the following conditions: Only one plane departs at a time. Each plane makes either a domestic or an international flight, but not both. Plane P makes an international flight. Planes Q and R make domestic flights. All international flights depart before any domestic flight. Any Getaway domestic flight departs before Flyhigh's domestic flight.

Question: If plane S departs third, then each of the following can be true EXCEPT:
Options:
Plane R departs sometime before plane S and sometime before plane T.
Plane S departs sometime before plane Q and sometime before plane T.
Plane S departs sometime before plane R and sometime before plane T.
Plane T departs sometime before plane P and sometime before plane S.
Plane T departs sometime before plane R and sometime before plane S.
Correct option (0-indexed): 2
A student is choosing courses to take during a summer school session. Each summer school student must take at least three courses from among the following seven: history, linguistics, music, physics, statistics, theater, and writing. The summer school schedule restricts the courses a student can take in the following ways: If history is taken, then neither statistics nor music can be taken. If music is taken, then neither physics nor theater can be taken. If writing is taken, then neither physics nor statistics can be taken.

Question: The student could take which one of the following groups of courses during the summer school session?
Options:
history, linguistics, and statistics
history, music, and physics
history, physics, and theater
linguistics, physics, theater, and writing
music, theater, and writing
Correct option (0-indexed): 2
A student is choosing courses to take during a summer school session. Each summer school student must take at least three courses from among the following seven: history, linguistics, music, physics, statistics, theater, and writing. The summer school schedule restricts the courses a student can take in the following ways: If history is taken, then neither statistics nor music can be taken. If music is taken, then neither physics nor theater can be taken. If writing is taken, then neither physics nor statistics can be taken.

Question: What is the maximum number of courses the student could take during the summer school session?
Options:
seven
six
five
four
three
Correct option (0-indexed): 3
A student is choosing courses to take during a summer school session. Each summer school student must take at least three courses from among the following seven: history, linguistics, music, physics, statistics, theater, and writing. The summer school schedule restricts the courses a student can take in the following ways: If history is taken, then neither statistics nor music can be taken. If music is taken, then neither physics nor theater can be taken. If writing is taken, then neither physics nor statistics can be taken.

Question: If the student takes neither physics nor writing, then it could be true that the student also takes neither
Options:
history nor linguistics
history nor music
history nor statistics
linguistics nor music
statistics nor theater
Correct option (0-indexed): 1
A student is choosing courses to take during a summer school session. Each summer school student must take at least three courses from among the following seven: history, linguistics, music, physics, statistics, theater, and writing. The summer school schedule restricts the courses a student can take in the following ways: If history is taken, then neither statistics nor music can be taken. If music is taken, then neither physics nor theater can be taken. If writing is taken, then neither physics nor statistics can be taken.

Question: If the student takes music, then which one of the following must the student also take?
Options:
writing
theater
statistics
physics
linguistics
Correct option (0-indexed): 4
A student is choosing courses to take during a summer school session. Each summer school student must take at least three courses from among the following seven: history, linguistics, music, physics, statistics, theater, and writing. The summer school schedule restricts the courses a student can take in the following ways: If history is taken, then neither statistics nor music can be taken. If music is taken, then neither physics nor theater can be taken. If writing is taken, then neither physics nor statistics can be taken.

Question: The student must take one or the other or both of
Options:
history or statistics
linguistics or theater
linguistics or writing
music or physics
theater or writing
Correct option (0-indexed): 1
A student is choosing courses to take during a summer school session. Each summer school student must take at least three courses from among the following seven: history, linguistics, music, physics, statistics, theater, and writing. The summer school schedule restricts the courses a student can take in the following ways: If history is taken, then neither statistics nor music can be taken. If music is taken, then neither physics nor theater can be taken. If writing is taken, then neither physics nor statistics can be taken.

Question: Which one of the following, if substituted for the restriction that if music is taken, then neither physics nor theater can be taken, would have the same effect in determining which courses the student can take?
Options:
If music is taken, then either statistics or writing must also be taken.
The only courses that are eligible to be taken together with music are linguistics, statistics, and writing.
The only courses that are eligible to be taken together with physics are history and linguistics.
The only courses that are eligible to be taken together with theater are history, linguistics, and writing.
If both physics and theater are taken, then music cannot be taken.
Correct option (0-indexed): 1
A law firm has seven departments—family law, health law, injury law, labor law, probate, securities, and tax law. The firm is to occupy a building with three floors—the bottom floor, the middle floor, and the top floor. Each floor can accommodate up to four departments, and no department is to be on more than one floor. Assignment of departments to floors is subject to the following constraints: Probate must be on the same floor as tax law. Health law must be on the floor immediately above injury law. Labor law must occupy an entire floor by itself.

Question: Which one of the following could be the assignment of departments to floors?
Options:
top floor: labor law middle floor: injury law, probate, tax law bottom floor: family law, health law, securities
top floor: family law, health law, probate middle floor: injury law, securities, tax law bottom floor: labor law
top floor: health law, probate, tax law middle floor: family law, injury law, securities bottom floor: labor law
top floor: health law, probate, tax law middle floor: injury law, securities bottom floor: family law, labor law
top floor: family law, health law, probate, tax law middle floor: labor law bottom floor: injury law, securities
Correct option (0-indexed): 2
A law firm has seven departments—family law, health law, injury law, labor law, probate, securities, and tax law. The firm is to occupy a building with three floors—the bottom floor, the middle floor, and the top floor. Each floor can accommodate up to four departments, and no department is to be on more than one floor. Assignment of departments to floors is subject to the following constraints: Probate must be on the same floor as tax law. Health law must be on the floor immediately above injury law. Labor law must occupy an entire floor by itself.

Question: If injury law and probate are both assigned to the middle floor, which one of the following could be true?
Options:
Family law is assigned to the middle floor.
Health law is assigned to the middle floor.
Labor law is assigned to the top floor.
Securities is assigned to the bottom floor.
Tax law is assigned to the top floor.
Correct option (0-indexed): 0