benlipkin/arlsat huggingface dataset:
Workers at a water treatment plant open eight valves—G, H, I, K, L, N, O, and P—to flush out a system of pipes that needs emergency repairs. To maximize safety and efficiency, each valve is opened exactly once, and no two valves are opened at the same time. The valves are opened in accordance with the following conditions: Both K and P are opened before H. O is opened before L but after H. L is opened after G. N is opened before H. I is opened after K.

Question: If G is the first valve opened and I is the third valve opened, then each of the following must be true EXCEPT:
Options:
K is the second valve opened.
N is the fourth valve opened.
H is the sixth valve opened.
O is the seventh valve opened.
L is the eighth valve opened.
Correct option (0-indexed): 1
On a field trip to the Museum of Natural History, each of six children—Juana, Kyle, Lucita, Salim, Thanh, and Veronica—is accompanied by one of three adults—Ms. Margoles, Mr. O'Connell, and Ms. Podorski. Each adult accompanies exactly two of the children, consistent with the following conditions: If Ms. Margoles accompanies Juana, then Ms. Podorski accompanies Lucita. If Kyle is not accompanied by Ms. Margoles, then Veronica is accompanied by Mr. O'Connell. Either Ms. Margoles or Mr. O'Connell accompanies Thanh. Juana is not accompanied by the same adult as Kyle; nor is Lucita accompanied by the same adult as Salim; nor is Thanh accompanied by the same adult as Veronica.

Question: Which one of the following could be an accurate matching of the adults to the children they accompany?
Options:
Ms. Margoles: Juana, Thanh; Mr. O'Connell: Lucita, Veronica; Ms. Podorski: Kyle, Salim
Ms. Margoles: Kyle, Thanh; Mr. O'Connell: Juana, Salim; Ms. Podorski: Lucita, Veronica
Ms. Margoles: Lucita, Thanh; Mr. O'Connell: Juana, Salim; Ms. Podorski: Kyle, Veronica
Ms. Margoles: Kyle, Veronica; Mr. O'Connell: Juana, Thanh; Ms. Podorski: Lucita, Salim
Ms. Margoles: Salim, Veronica; Mr. O'Connell: Kyle, Lucita; Ms. Podorski: Juana, Thanh
Correct option (0-indexed): 1
On a field trip to the Museum of Natural History, each of six children—Juana, Kyle, Lucita, Salim, Thanh, and Veronica—is accompanied by one of three adults—Ms. Margoles, Mr. O'Connell, and Ms. Podorski. Each adult accompanies exactly two of the children, consistent with the following conditions: If Ms. Margoles accompanies Juana, then Ms. Podorski accompanies Lucita. If Kyle is not accompanied by Ms. Margoles, then Veronica is accompanied by Mr. O'Connell. Either Ms. Margoles or Mr. O'Connell accompanies Thanh. Juana is not accompanied by the same adult as Kyle; nor is Lucita accompanied by the same adult as Salim; nor is Thanh accompanied by the same adult as Veronica.

Question: If Ms. Margoles accompanies Lucita and Thanh, then which one of the following must be true?
Options:
Juana is accompanied by the same adult as Veronica.
Kyle is accompanied by the same adult as Salim.
Juana is accompanied by Mr. O'Connell.
Kyle is accompanied by Ms. Podorski.
Salim is accompanied by Ms. Podorski.
Correct option (0-indexed): 4
On a field trip to the Museum of Natural History, each of six children—Juana, Kyle, Lucita, Salim, Thanh, and Veronica—is accompanied by one of three adults—Ms. Margoles, Mr. O'Connell, and Ms. Podorski. Each adult accompanies exactly two of the children, consistent with the following conditions: If Ms. Margoles accompanies Juana, then Ms. Podorski accompanies Lucita. If Kyle is not accompanied by Ms. Margoles, then Veronica is accompanied by Mr. O'Connell. Either Ms. Margoles or Mr. O'Connell accompanies Thanh. Juana is not accompanied by the same adult as Kyle; nor is Lucita accompanied by the same adult as Salim; nor is Thanh accompanied by the same adult as Veronica.

Question: If Ms. Podorski accompanies Juana and Veronica, then Ms. Margoles could accompany which one of the following pairs of children?
Options:
Kyle and Salim
Kyle and Thanh
Lucita and Salim
Lucita and Thanh
Salim and Thanh
Correct option (0-indexed): 0
On a field trip to the Museum of Natural History, each of six children—Juana, Kyle, Lucita, Salim, Thanh, and Veronica—is accompanied by one of three adults—Ms. Margoles, Mr. O'Connell, and Ms. Podorski. Each adult accompanies exactly two of the children, consistent with the following conditions: If Ms. Margoles accompanies Juana, then Ms. Podorski accompanies Lucita. If Kyle is not accompanied by Ms. Margoles, then Veronica is accompanied by Mr. O'Connell. Either Ms. Margoles or Mr. O'Connell accompanies Thanh. Juana is not accompanied by the same adult as Kyle; nor is Lucita accompanied by the same adult as Salim; nor is Thanh accompanied by the same adult as Veronica.

Question: Ms. Podorski CANNOT accompany which one of the following pairs of children?
Options:
Juana and Lucita
Juana and Salim
Kyle and Salim
Salim and Thanh
Salim and Veronica
Correct option (0-indexed): 3
On a field trip to the Museum of Natural History, each of six children—Juana, Kyle, Lucita, Salim, Thanh, and Veronica—is accompanied by one of three adults—Ms. Margoles, Mr. O'Connell, and Ms. Podorski. Each adult accompanies exactly two of the children, consistent with the following conditions: If Ms. Margoles accompanies Juana, then Ms. Podorski accompanies Lucita. If Kyle is not accompanied by Ms. Margoles, then Veronica is accompanied by Mr. O'Connell. Either Ms. Margoles or Mr. O'Connell accompanies Thanh. Juana is not accompanied by the same adult as Kyle; nor is Lucita accompanied by the same adult as Salim; nor is Thanh accompanied by the same adult as Veronica.

Question: Mr. O'Connell CANNOT accompany which one of the following pairs of children?
Options:
Juana and Lucita
Juana and Veronica
Kyle and Thanh
Lucita and Thanh
Salim and Veronica
Correct option (0-indexed): 2
Three short seminars—Goals, Objections, and Persuasion—and three long seminars—Humor, Negotiating, and Telemarketing—will be scheduled for a three-day sales training conference. On each day, two of the seminars will be given consecutively. Each seminar will be given exactly once. The schedule must conform to the following conditions: Exactly one short seminar and exactly one long seminar will be given each day. Telemarketing will not be given until both Goals and Objections have been given. Negotiating will not be given until Persuasion has been given.

Question: Which one of the following could be an accurate schedule for the sales training conference?
Options:
first day: Persuasion followed by Negotiating second day: Objections followed by Telemarketing third day: Goals followed by Humor
first day: Objections followed by Humor second day: Goals followed by Telemarketing third day: Persuasion followed by Negotiating
first day: Objections followed by Negotiating second day: Persuasion followed by Humor third day: Goals followed by Telemarketing
first day: Objections followed by Goals second day: Telemarketing followed by Persuasion third day: Negotiating followed by Humor
first day: Goals followed by Humor second day: Persuasion followed by Telemarketing third day: Objections followed by Negotiating
Correct option (0-indexed): 1
Three short seminars—Goals, Objections, and Persuasion—and three long seminars—Humor, Negotiating, and Telemarketing—will be scheduled for a three-day sales training conference. On each day, two of the seminars will be given consecutively. Each seminar will be given exactly once. The schedule must conform to the following conditions: Exactly one short seminar and exactly one long seminar will be given each day. Telemarketing will not be given until both Goals and Objections have been given. Negotiating will not be given until Persuasion has been given.

Question: If Goals is given on the first day of the sales training conference, then which one of the following could be true?
Options:
Negotiating is given on the first day.
Objections is given on the first day.
Persuasion is given on the first day.
Humor is given on the second day.
Telemarketing is given on the second day.
Correct option (0-indexed): 4
Three short seminars—Goals, Objections, and Persuasion—and three long seminars—Humor, Negotiating, and Telemarketing—will be scheduled for a three-day sales training conference. On each day, two of the seminars will be given consecutively. Each seminar will be given exactly once. The schedule must conform to the following conditions: Exactly one short seminar and exactly one long seminar will be given each day. Telemarketing will not be given until both Goals and Objections have been given. Negotiating will not be given until Persuasion has been given.

Question: If Negotiating is given at some time before Objections, then which one of the following must be true?
Options:
Negotiating is given at some time before Goals.
Persuasion is given at some time before Goals.
Persuasion is given at some time before Objections.
Humor is given at some time before Objections.
Negotiating is given at some time before Humor.
Correct option (0-indexed): 2
Three short seminars—Goals, Objections, and Persuasion—and three long seminars—Humor, Negotiating, and Telemarketing—will be scheduled for a three-day sales training conference. On each day, two of the seminars will be given consecutively. Each seminar will be given exactly once. The schedule must conform to the following conditions: Exactly one short seminar and exactly one long seminar will be given each day. Telemarketing will not be given until both Goals and Objections have been given. Negotiating will not be given until Persuasion has been given.

Question: Which one of the following CANNOT be the second seminar given on the second day of the sales training conference?
Options:
Humor
Persuasion
Objections
Negotiating
Goals
Correct option (0-indexed): 1
Three short seminars—Goals, Objections, and Persuasion—and three long seminars—Humor, Negotiating, and Telemarketing—will be scheduled for a three-day sales training conference. On each day, two of the seminars will be given consecutively. Each seminar will be given exactly once. The schedule must conform to the following conditions: Exactly one short seminar and exactly one long seminar will be given each day. Telemarketing will not be given until both Goals and Objections have been given. Negotiating will not be given until Persuasion has been given.

Question: If Humor is given on the second day of the sales training conference, then which one of the following could be true?
Options:
Telemarketing is given on the first day.
Negotiating is given on the second day.
Telemarketing is given on the second day.
Objections is given on the third day.
Persuasion is given on the third day.
Correct option (0-indexed): 3
A bread truck makes exactly one bread delivery to each of six restaurants in succession—Figueroa's, Ginsberg's, Harris's, Kanzaki's, Leacock's, and Malpighi's—though not necessarily in that order. The following conditions must apply: Ginsberg's delivery is earlier than Kanzaki's but later than Figueroa's. Harris's delivery is earlier than Ginsberg's. If Figueroa's delivery is earlier than Malpighi's, then Leacock's delivery is earlier than Harris's. Either Malpighi's delivery is earlier than Harris's or it is later than Kanzaki's, but not both.

Question: Which one of the following accurately represents an order in which the deliveries could occur, from first to last?
Options:
Harris's, Figueroa's, Leacock's, Ginsberg's, Kanzaki's, Malpighi's
Leacock's, Harris's, Figueroa's, Ginsberg's, Malpighi's, Kanzaki's
Malpighi's, Figueroa's, Harris's, Ginsberg's, Leacock's, Kanzaki's
Malpighi's, Figueroa's, Kanzaki's, Harris's, Ginsberg's, Leacock's
Malpighi's, Figueroa's, Ginsberg's, Kanzaki's, Harris's, Leacock's
Correct option (0-indexed): 2
A bread truck makes exactly one bread delivery to each of six restaurants in succession—Figueroa's, Ginsberg's, Harris's, Kanzaki's, Leacock's, and Malpighi's—though not necessarily in that order. The following conditions must apply: Ginsberg's delivery is earlier than Kanzaki's but later than Figueroa's. Harris's delivery is earlier than Ginsberg's. If Figueroa's delivery is earlier than Malpighi's, then Leacock's delivery is earlier than Harris's. Either Malpighi's delivery is earlier than Harris's or it is later than Kanzaki's, but not both.

Question: If Figueroa's delivery is fourth, then which one of the following must be true?
Options:
Ginsberg's delivery is fifth.
Harris's delivery is second.
Harris's delivery is third.
Leacock's delivery is second.
Malpighi's delivery is first.
Correct option (0-indexed): 0
A bread truck makes exactly one bread delivery to each of six restaurants in succession—Figueroa's, Ginsberg's, Harris's, Kanzaki's, Leacock's, and Malpighi's—though not necessarily in that order. The following conditions must apply: Ginsberg's delivery is earlier than Kanzaki's but later than Figueroa's. Harris's delivery is earlier than Ginsberg's. If Figueroa's delivery is earlier than Malpighi's, then Leacock's delivery is earlier than Harris's. Either Malpighi's delivery is earlier than Harris's or it is later than Kanzaki's, but not both.

Question: If Malpighi's delivery is first and Leacock's delivery is third, then which one of the following must be true?
Options:
Figueroa's delivery is second.
Harris's delivery is second.
Harris's delivery is fourth.
Kanzaki's delivery is fifth.
Kanzaki's delivery is last.
Correct option (0-indexed): 4
A bread truck makes exactly one bread delivery to each of six restaurants in succession—Figueroa's, Ginsberg's, Harris's, Kanzaki's, Leacock's, and Malpighi's—though not necessarily in that order. The following conditions must apply: Ginsberg's delivery is earlier than Kanzaki's but later than Figueroa's. Harris's delivery is earlier than Ginsberg's. If Figueroa's delivery is earlier than Malpighi's, then Leacock's delivery is earlier than Harris's. Either Malpighi's delivery is earlier than Harris's or it is later than Kanzaki's, but not both.

Question: Which one of the following must be true?
Options:
Figueroa's delivery is earlier than Leacock's.
Ginsberg's delivery is earlier than Leacock's.
Harris's delivery is earlier than Kanzaki's.
Leacock's delivery is earlier than Ginsberg's.
Malpighi's delivery is earlier than Harris's.
Correct option (0-indexed): 2
A bread truck makes exactly one bread delivery to each of six restaurants in succession—Figueroa's, Ginsberg's, Harris's, Kanzaki's, Leacock's, and Malpighi's—though not necessarily in that order. The following conditions must apply: Ginsberg's delivery is earlier than Kanzaki's but later than Figueroa's. Harris's delivery is earlier than Ginsberg's. If Figueroa's delivery is earlier than Malpighi's, then Leacock's delivery is earlier than Harris's. Either Malpighi's delivery is earlier than Harris's or it is later than Kanzaki's, but not both.

Question: If Kanzaki's delivery is earlier than Leacock's, then which one of the following could be true?
Options:
Figueroa's delivery is first.
Ginsberg's delivery is third.
Harris's delivery is third.
Leacock's delivery is fifth.
Malpighi's delivery is second.
Correct option (0-indexed): 2
A bread truck makes exactly one bread delivery to each of six restaurants in succession—Figueroa's, Ginsberg's, Harris's, Kanzaki's, Leacock's, and Malpighi's—though not necessarily in that order. The following conditions must apply: Ginsberg's delivery is earlier than Kanzaki's but later than Figueroa's. Harris's delivery is earlier than Ginsberg's. If Figueroa's delivery is earlier than Malpighi's, then Leacock's delivery is earlier than Harris's. Either Malpighi's delivery is earlier than Harris's or it is later than Kanzaki's, but not both.

Question: Which one of the following must be false?
Options:
Figueroa's delivery is first.
Ginsberg's delivery is fifth.
Harris's delivery is third.
Leacock's delivery is second.
Malpighi's delivery is fourth.
Correct option (0-indexed): 4
Five performers—Traugott, West, Xavier, Young, and Zinser—are recruited by three talent agencies—Fame Agency, Premier Agency, and Star Agency. Each performer signs with exactly one of the agencies and each agency signs at least one of the performers. The performers' signing with the agencies is in accord with the following: Xavier signs with Fame Agency. Xavier and Young do not sign with the same agency as each other. Zinser signs with the same agency as Young. If Traugott signs with Star Agency, West also signs with Star Agency.

Question: Which one of the following could be a complete and accurate list of the performers who sign with each agency?
Options:
Fame Agency: Xavier Premier Agency: West Star Agency: Traugott, Young, Zinser
Fame Agency: Xavier Premier Agency: Traugott, West Star Agency: Young, Zinser
Fame Agency: Xavier Premier Agency: Traugott, Young Star Agency: West, Zinser
Fame Agency: Young, Zinser Premier Agency: Xavier Star Agency: Traugott, West
Fame Agency: Xavier, Young, Zinser Premier Agency: Traugott Star Agency: West
Correct option (0-indexed): 1
Five performers—Traugott, West, Xavier, Young, and Zinser—are recruited by three talent agencies—Fame Agency, Premier Agency, and Star Agency. Each performer signs with exactly one of the agencies and each agency signs at least one of the performers. The performers' signing with the agencies is in accord with the following: Xavier signs with Fame Agency. Xavier and Young do not sign with the same agency as each other. Zinser signs with the same agency as Young. If Traugott signs with Star Agency, West also signs with Star Agency.

Question: Which one of the following could be true?
Options:
West is the only performer who signs with Star Agency.
West, Young, and Zinser all sign with Premier Agency.
Xavier signs with the same agency as Zinser.
Zinser is the only performer who signs with Star Agency.
Three of the performers sign with Fame Agency.
Correct option (0-indexed): 0
Five performers—Traugott, West, Xavier, Young, and Zinser—are recruited by three talent agencies—Fame Agency, Premier Agency, and Star Agency. Each performer signs with exactly one of the agencies and each agency signs at least one of the performers. The performers' signing with the agencies is in accord with the following: Xavier signs with Fame Agency. Xavier and Young do not sign with the same agency as each other. Zinser signs with the same agency as Young. If Traugott signs with Star Agency, West also signs with Star Agency.

Question: Which one of the following must be true?
Options:
West and Zinser do not sign with the same agency as each other.
Fame Agency signs at most two of the performers.
Fame Agency signs the same number of the performers as Star Agency.
Traugott signs with the same agency as West.
West does not sign with Fame Agency.
Correct option (0-indexed): 1
Five performers—Traugott, West, Xavier, Young, and Zinser—are recruited by three talent agencies—Fame Agency, Premier Agency, and Star Agency. Each performer signs with exactly one of the agencies and each agency signs at least one of the performers. The performers' signing with the agencies is in accord with the following: Xavier signs with Fame Agency. Xavier and Young do not sign with the same agency as each other. Zinser signs with the same agency as Young. If Traugott signs with Star Agency, West also signs with Star Agency.

Question: The agency with which each of the performers signs is completely determined if which one of the following is true?
Options:
Traugott signs with Fame Agency.
Traugott signs with Star Agency.
West signs with Premier Agency.
Xavier signs with Fame Agency.
Zinser signs with Premier Agency.
Correct option (0-indexed): 1
Five performers—Traugott, West, Xavier, Young, and Zinser—are recruited by three talent agencies—Fame Agency, Premier Agency, and Star Agency. Each performer signs with exactly one of the agencies and each agency signs at least one of the performers. The performers' signing with the agencies is in accord with the following: Xavier signs with Fame Agency. Xavier and Young do not sign with the same agency as each other. Zinser signs with the same agency as Young. If Traugott signs with Star Agency, West also signs with Star Agency.

Question: If Zinser signs with Star Agency, which one of the following must be false?
Options:
Premier Agency signs exactly one performer.
Star Agency signs exactly three of the performers.
Traugott signs with Star Agency.
West signs with Star Agency.
None of the other performers signs with the same agency as Xavier.
Correct option (0-indexed): 2
A competition is being held to select a design for Yancy College's new student union building. Each of six architects—Green, Jackson, Liu, Mertz, Peete, and Valdez—has submitted exactly one design. There are exactly six designs, and they are presented one at a time to the panel of judges, each design being presented exactly once, consistent with the following conditions: Mertz's design is presented at some time before Liu's and after Peete's. Green's design is presented either at some time before Jackson's or at some time after Liu's, but not both. Valdez's design is presented either at some time before Green's or at some time after Peete's, but not both.

Question: Which one of the following could be the order in which the designs are presented, from first to last?
Options:
Jackson's, Peete's, Mertz's, Green's, Valdez's, Liu's
Peete's, Jackson's, Liu's, Mertz's, Green's, Valdez's
Peete's, Mertz's, Jackson's, Liu's, Green's, Valdez's
Peete's, Mertz's, Valdez's, Green's, Liu's, Jackson's
Valdez's, Liu's, Jackson's, Peete's, Mertz's, Green's
Correct option (0-indexed): 2
A competition is being held to select a design for Yancy College's new student union building. Each of six architects—Green, Jackson, Liu, Mertz, Peete, and Valdez—has submitted exactly one design. There are exactly six designs, and they are presented one at a time to the panel of judges, each design being presented exactly once, consistent with the following conditions: Mertz's design is presented at some time before Liu's and after Peete's. Green's design is presented either at some time before Jackson's or at some time after Liu's, but not both. Valdez's design is presented either at some time before Green's or at some time after Peete's, but not both.

Question: Mertz's design CANNOT be presented
Options:
sixth
fifth
fourth
third
second
Correct option (0-indexed): 0
A competition is being held to select a design for Yancy College's new student union building. Each of six architects—Green, Jackson, Liu, Mertz, Peete, and Valdez—has submitted exactly one design. There are exactly six designs, and they are presented one at a time to the panel of judges, each design being presented exactly once, consistent with the following conditions: Mertz's design is presented at some time before Liu's and after Peete's. Green's design is presented either at some time before Jackson's or at some time after Liu's, but not both. Valdez's design is presented either at some time before Green's or at some time after Peete's, but not both.

Question: If Liu's design is presented sixth, then which one of the following must be true?
Options:
Green's design is presented at some time before Jackson's.
Jackson's design is presented at some time before Mertz's.
Peete's design is presented at some time before Green's.
Peete's design is presented at some time before Valdez's.
Valdez's design is presented at some time before Green's.
Correct option (0-indexed): 0
A competition is being held to select a design for Yancy College's new student union building. Each of six architects—Green, Jackson, Liu, Mertz, Peete, and Valdez—has submitted exactly one design. There are exactly six designs, and they are presented one at a time to the panel of judges, each design being presented exactly once, consistent with the following conditions: Mertz's design is presented at some time before Liu's and after Peete's. Green's design is presented either at some time before Jackson's or at some time after Liu's, but not both. Valdez's design is presented either at some time before Green's or at some time after Peete's, but not both.

Question: If Jackson's design is presented at some time before Mertz's, then each of the following could be true EXCEPT:
Options:
Jackson's design is presented second.
Peete's design is presented third.
Peete's design is presented fourth.
Jackson's design is presented fifth.
Liu's design is presented fifth.
Correct option (0-indexed): 3
A competition is being held to select a design for Yancy College's new student union building. Each of six architects—Green, Jackson, Liu, Mertz, Peete, and Valdez—has submitted exactly one design. There are exactly six designs, and they are presented one at a time to the panel of judges, each design being presented exactly once, consistent with the following conditions: Mertz's design is presented at some time before Liu's and after Peete's. Green's design is presented either at some time before Jackson's or at some time after Liu's, but not both. Valdez's design is presented either at some time before Green's or at some time after Peete's, but not both.

Question: Which one of the following designs CANNOT be the design presented first?
Options:
Green's
Jackson's
Liu's
Peete's
Valdez's
Correct option (0-indexed): 2
A competition is being held to select a design for Yancy College's new student union building. Each of six architects—Green, Jackson, Liu, Mertz, Peete, and Valdez—has submitted exactly one design. There are exactly six designs, and they are presented one at a time to the panel of judges, each design being presented exactly once, consistent with the following conditions: Mertz's design is presented at some time before Liu's and after Peete's. Green's design is presented either at some time before Jackson's or at some time after Liu's, but not both. Valdez's design is presented either at some time before Green's or at some time after Peete's, but not both.

Question: Which one of the following could be an accurate partial list of the architects, each matched with his or her design's place in the order in which the designs are presented?
Options:
first: Mertz; fourth: Liu; fifth: Green
second: Green; third: Peete; fourth: Jackson
second: Mertz; fifth: Green; sixth: Jackson
fourth: Peete; fifth: Liu; sixth: Jackson
fourth: Valdez; fifth: Green; sixth: Liu
Correct option (0-indexed): 1
Detectives investigating a citywide increase in burglaries questioned exactly seven suspects—S, T, V, W, X, Y, and Z—each on a different one of seven consecutive days. Each suspect was questioned exactly once. Any suspect who confessed did so while being questioned. The investigation conformed to the following: T was questioned on day three. The suspect questioned on day four did not confess. S was questioned after W was questioned. Both X and V were questioned after Z was questioned. No suspects confessed after W was questioned. Exactly two suspects confessed after T was questioned.

Question: Which one of the following could be true?
Options:
X was questioned on day one.
V was questioned on day two.
Z was questioned on day four.
W was questioned on day five.
S was questioned on day six.
Correct option (0-indexed): 1
Detectives investigating a citywide increase in burglaries questioned exactly seven suspects—S, T, V, W, X, Y, and Z—each on a different one of seven consecutive days. Each suspect was questioned exactly once. Any suspect who confessed did so while being questioned. The investigation conformed to the following: T was questioned on day three. The suspect questioned on day four did not confess. S was questioned after W was questioned. Both X and V were questioned after Z was questioned. No suspects confessed after W was questioned. Exactly two suspects confessed after T was questioned.

Question: If Z was the second suspect to confess, then each of the following statements could be true EXCEPT:
Options:
T confessed.
T did not confess.
V did not confess.
X confessed.
Y did not confess.
Correct option (0-indexed): 4
Detectives investigating a citywide increase in burglaries questioned exactly seven suspects—S, T, V, W, X, Y, and Z—each on a different one of seven consecutive days. Each suspect was questioned exactly once. Any suspect who confessed did so while being questioned. The investigation conformed to the following: T was questioned on day three. The suspect questioned on day four did not confess. S was questioned after W was questioned. Both X and V were questioned after Z was questioned. No suspects confessed after W was questioned. Exactly two suspects confessed after T was questioned.

Question: If Y was questioned after V but before X, then which one of the following could be true?
Options:
V did not confess.
Y confessed.
X did not confess.
X was questioned on day four.
Z was questioned on day two.
Correct option (0-indexed): 0
Detectives investigating a citywide increase in burglaries questioned exactly seven suspects—S, T, V, W, X, Y, and Z—each on a different one of seven consecutive days. Each suspect was questioned exactly once. Any suspect who confessed did so while being questioned. The investigation conformed to the following: T was questioned on day three. The suspect questioned on day four did not confess. S was questioned after W was questioned. Both X and V were questioned after Z was questioned. No suspects confessed after W was questioned. Exactly two suspects confessed after T was questioned.

Question: Which one of the following suspects must have been questioned before T was questioned?
Options:
V
W
X
Y
Z
Correct option (0-indexed): 4
Detectives investigating a citywide increase in burglaries questioned exactly seven suspects—S, T, V, W, X, Y, and Z—each on a different one of seven consecutive days. Each suspect was questioned exactly once. Any suspect who confessed did so while being questioned. The investigation conformed to the following: T was questioned on day three. The suspect questioned on day four did not confess. S was questioned after W was questioned. Both X and V were questioned after Z was questioned. No suspects confessed after W was questioned. Exactly two suspects confessed after T was questioned.

Question: If X and Y both confessed, then each of the following could be true EXCEPT:
Options:
V confessed.
X was questioned on day five.
Y was questioned on day one.
Z was questioned on day one.
Z did not confess.
Correct option (0-indexed): 0
Detectives investigating a citywide increase in burglaries questioned exactly seven suspects—S, T, V, W, X, Y, and Z—each on a different one of seven consecutive days. Each suspect was questioned exactly once. Any suspect who confessed did so while being questioned. The investigation conformed to the following: T was questioned on day three. The suspect questioned on day four did not confess. S was questioned after W was questioned. Both X and V were questioned after Z was questioned. No suspects confessed after W was questioned. Exactly two suspects confessed after T was questioned.

Question: If neither X nor V confessed, then which one of the following must be true?
Options:
T confessed.
V was questioned on day two.
X was questioned on day four.
Y confessed.
Z did not confess.
Correct option (0-indexed): 3
The three highest-placing teams in a high school debate tournament are the teams from Fairview, Gillom, and Hilltop high schools. Each team has exactly two members. The individuals on these three teams are Mei, Navarro, O'Rourke, Pavlovich, Sethna, and Tsudama. The following is the case: Sethna is on the team from Gillom High. Tsudama is on the second-place team. Mei and Pavlovich are not on the same team. Pavlovich's team places higher than Navarro's team. The team from Gillom High places higher than the team from Hilltop High.

Question: Which one of the following could be an accurate list of the members of each of the three highest-placing teams?
Options:
first place: Mei and O'Rourke second place: Pavlovich and Sethna third place: Navarro and Tsudama
first place: Mei and Pavlovich second place: Sethna and Tsudama third place: Navarro and O'Rourke
first place: Navarro and Sethna second place: Pavlovich and Tsudama third place: Mei and O'Rourke
first place: O'Rourke and Pavlovich second place: Navarro and Tsudama third place: Mei and Sethna
first place: Pavlovich and Sethna second place: O'Rourke and Tsudama third place: Mei and Navarro
Correct option (0-indexed): 4
The three highest-placing teams in a high school debate tournament are the teams from Fairview, Gillom, and Hilltop high schools. Each team has exactly two members. The individuals on these three teams are Mei, Navarro, O'Rourke, Pavlovich, Sethna, and Tsudama. The following is the case: Sethna is on the team from Gillom High. Tsudama is on the second-place team. Mei and Pavlovich are not on the same team. Pavlovich's team places higher than Navarro's team. The team from Gillom High places higher than the team from Hilltop High.

Question: If Pavlovich is on the team from Hilltop High, then which one of the following could be true?
Options:
O'Rourke is on the first-place team.
Pavlovich is on the first-place team.
Mei is on the second-place team.
Navarro is on the second-place team.
Sethna is on the second-place team.
Correct option (0-indexed): 0
The three highest-placing teams in a high school debate tournament are the teams from Fairview, Gillom, and Hilltop high schools. Each team has exactly two members. The individuals on these three teams are Mei, Navarro, O'Rourke, Pavlovich, Sethna, and Tsudama. The following is the case: Sethna is on the team from Gillom High. Tsudama is on the second-place team. Mei and Pavlovich are not on the same team. Pavlovich's team places higher than Navarro's team. The team from Gillom High places higher than the team from Hilltop High.

Question: If O'Rourke is on the second-place team, then which one of the following could be true?
Options:
Mei is on the team from Gillom High.
Navarro is on the team from Fairview High.
O'Rourke is on the team from Gillom High.
Pavlovich is on the team from Hilltop High.
Tsudama is on the team from Gillom High.
Correct option (0-indexed): 1
The three highest-placing teams in a high school debate tournament are the teams from Fairview, Gillom, and Hilltop high schools. Each team has exactly two members. The individuals on these three teams are Mei, Navarro, O'Rourke, Pavlovich, Sethna, and Tsudama. The following is the case: Sethna is on the team from Gillom High. Tsudama is on the second-place team. Mei and Pavlovich are not on the same team. Pavlovich's team places higher than Navarro's team. The team from Gillom High places higher than the team from Hilltop High.

Question: If Pavlovich and Tsudama are teammates, then for how many of the individuals can it be exactly determined where his or her team places?
Options:
two
three
four
five
six
Correct option (0-indexed): 2
The three highest-placing teams in a high school debate tournament are the teams from Fairview, Gillom, and Hilltop high schools. Each team has exactly two members. The individuals on these three teams are Mei, Navarro, O'Rourke, Pavlovich, Sethna, and Tsudama. The following is the case: Sethna is on the team from Gillom High. Tsudama is on the second-place team. Mei and Pavlovich are not on the same team. Pavlovich's team places higher than Navarro's team. The team from Gillom High places higher than the team from Hilltop High.

Question: If Mei is on a team that places higher than the Hilltop team, then which one of the following could be true?
Options:
The Fairview team places first.
The Gillom team places second.
Navarro is on the second-place team.
O'Rourke is on the first-place team.
Pavlovich is on the first-place team.
Correct option (0-indexed): 4
The three highest-placing teams in a high school debate tournament are the teams from Fairview, Gillom, and Hilltop high schools. Each team has exactly two members. The individuals on these three teams are Mei, Navarro, O'Rourke, Pavlovich, Sethna, and Tsudama. The following is the case: Sethna is on the team from Gillom High. Tsudama is on the second-place team. Mei and Pavlovich are not on the same team. Pavlovich's team places higher than Navarro's team. The team from Gillom High places higher than the team from Hilltop High.

Question: Sethna's teammate could be any one of the following EXCEPT:
Options:
Mei
Navarro
O'Rourke
Pavlovich
Tsudama
Correct option (0-indexed): 1
A dance is being choreographed for six dancers: three men—Felipe, Grant, and Hassan—and three women—Jaclyn, Keiko, and Lorena. At no time during the dance will anyone other than the dancers be on stage. Who is on stage and who is off stage at any particular time in the dance is determined by the following constraints: If Jaclyn is on stage, Lorena is off stage. If Lorena is off stage, Jaclyn is on stage. If Felipe is off stage, Jaclyn is also off stage. If any of the women are on stage, Grant is also on stage.

Question: Which one of the following is a list of all of the dancers who could be on stage at a particular time?
Options:
Grant
Keiko, Lorena
Grant, Hassan, Lorena
Grant, Hassan, Jaclyn
Felipe, Grant, Jaclyn, Lorena
Correct option (0-indexed): 2
A dance is being choreographed for six dancers: three men—Felipe, Grant, and Hassan—and three women—Jaclyn, Keiko, and Lorena. At no time during the dance will anyone other than the dancers be on stage. Who is on stage and who is off stage at any particular time in the dance is determined by the following constraints: If Jaclyn is on stage, Lorena is off stage. If Lorena is off stage, Jaclyn is on stage. If Felipe is off stage, Jaclyn is also off stage. If any of the women are on stage, Grant is also on stage.

Question: Which one of the following CANNOT be true at any time during the dance?
Options:
Felipe and Grant are the only men on stage.
Grant and Hassan are the only men on stage.
Jaclyn is the only woman on stage.
Keiko is the only woman on stage.
Jaclyn and Keiko are the only women on stage.
Correct option (0-indexed): 3
A dance is being choreographed for six dancers: three men—Felipe, Grant, and Hassan—and three women—Jaclyn, Keiko, and Lorena. At no time during the dance will anyone other than the dancers be on stage. Who is on stage and who is off stage at any particular time in the dance is determined by the following constraints: If Jaclyn is on stage, Lorena is off stage. If Lorena is off stage, Jaclyn is on stage. If Felipe is off stage, Jaclyn is also off stage. If any of the women are on stage, Grant is also on stage.

Question: Which one of the following is a complete and accurate list of the dancers any one of whom could be off stage when Jaclyn is on stage?
Options:
Lorena
Felipe, Lorena
Hassan, Lorena
Hassan, Keiko
Hassan, Keiko, Lorena
Correct option (0-indexed): 4
A dance is being choreographed for six dancers: three men—Felipe, Grant, and Hassan—and three women—Jaclyn, Keiko, and Lorena. At no time during the dance will anyone other than the dancers be on stage. Who is on stage and who is off stage at any particular time in the dance is determined by the following constraints: If Jaclyn is on stage, Lorena is off stage. If Lorena is off stage, Jaclyn is on stage. If Felipe is off stage, Jaclyn is also off stage. If any of the women are on stage, Grant is also on stage.

Question: If there are more women than men on stage, then exactly how many dancers must be on stage?
Options:
five
four
three
two
one
Correct option (0-indexed): 2
A dance is being choreographed for six dancers: three men—Felipe, Grant, and Hassan—and three women—Jaclyn, Keiko, and Lorena. At no time during the dance will anyone other than the dancers be on stage. Who is on stage and who is off stage at any particular time in the dance is determined by the following constraints: If Jaclyn is on stage, Lorena is off stage. If Lorena is off stage, Jaclyn is on stage. If Felipe is off stage, Jaclyn is also off stage. If any of the women are on stage, Grant is also on stage.

Question: What is the minimum number of dancers that must be on stage at any given time?
Options:
zero
one
two
three
four
Correct option (0-indexed): 2
A critic has prepared a review of exactly six music CDs—Headstrong, In Flight, Nice, Quasi, Reunion, and Sounds Good. Each CD received a rating of either one, two, three, or four stars, with each CD receiving exactly one rating. Although the ratings were meant to be kept secret until the review was published, the following facts have been leaked to the public: For each of the ratings, at least one but no more than two of the CDs received that rating. Headstrong received exactly one more star than Nice did. Either Headstrong or Reunion received the same number of stars as In Flight did. At most one CD received more stars than Quasi did.

Question: Which one of the following could be an accurate matching of ratings to the CDs that received those ratings?
Options:
one star: In Flight, Reunion; two stars: Nice; three stars: Headstrong; four stars: Quasi, Sounds Good
one star: In Flight, Reunion; two stars: Quasi, Sounds Good; three stars: Nice; four stars: Headstrong
one star: Nice; two stars: Headstrong; three stars: In Flight, Sounds Good; four stars: Quasi, Reunion
one star: Nice, Sounds Good; two stars: In Flight, Reunion; three stars: Quasi; four stars: Headstrong
one star: Sounds Good; two stars: Reunion; three stars: Nice, Quasi; four stars: Headstrong, In Flight
Correct option (0-indexed): 0
A critic has prepared a review of exactly six music CDs—Headstrong, In Flight, Nice, Quasi, Reunion, and Sounds Good. Each CD received a rating of either one, two, three, or four stars, with each CD receiving exactly one rating. Although the ratings were meant to be kept secret until the review was published, the following facts have been leaked to the public: For each of the ratings, at least one but no more than two of the CDs received that rating. Headstrong received exactly one more star than Nice did. Either Headstrong or Reunion received the same number of stars as In Flight did. At most one CD received more stars than Quasi did.

Question: If Headstrong is the only CD that received a rating of two stars, then which one of the following must be true?
Options:
In Flight received a rating of three stars.
Nice received a rating of three stars.
Quasi received a rating of three stars.
Reunion received a rating of one star.
Sounds Good received a rating of one star.
Correct option (0-indexed): 0
A critic has prepared a review of exactly six music CDs—Headstrong, In Flight, Nice, Quasi, Reunion, and Sounds Good. Each CD received a rating of either one, two, three, or four stars, with each CD receiving exactly one rating. Although the ratings were meant to be kept secret until the review was published, the following facts have been leaked to the public: For each of the ratings, at least one but no more than two of the CDs received that rating. Headstrong received exactly one more star than Nice did. Either Headstrong or Reunion received the same number of stars as In Flight did. At most one CD received more stars than Quasi did.

Question: If Reunion received the same rating as Sounds Good, then which one of the following must be true?
Options:
Headstrong received a rating of two stars.
In Flight received a rating of three stars.
Nice received a rating of two stars.
Quasi received a rating of four stars.
Sounds Good received a rating of one star.
Correct option (0-indexed): 3
A critic has prepared a review of exactly six music CDs—Headstrong, In Flight, Nice, Quasi, Reunion, and Sounds Good. Each CD received a rating of either one, two, three, or four stars, with each CD receiving exactly one rating. Although the ratings were meant to be kept secret until the review was published, the following facts have been leaked to the public: For each of the ratings, at least one but no more than two of the CDs received that rating. Headstrong received exactly one more star than Nice did. Either Headstrong or Reunion received the same number of stars as In Flight did. At most one CD received more stars than Quasi did.

Question: If Nice and Reunion each received a rating of one star, then which one of the following could be true?
Options:
Headstrong received a rating of three stars.
Headstrong received a rating of four stars.
In Flight received a rating of three stars.
Sounds Good received a rating of two stars.
Sounds Good received a rating of three stars.
Correct option (0-indexed): 4
A critic has prepared a review of exactly six music CDs—Headstrong, In Flight, Nice, Quasi, Reunion, and Sounds Good. Each CD received a rating of either one, two, three, or four stars, with each CD receiving exactly one rating. Although the ratings were meant to be kept secret until the review was published, the following facts have been leaked to the public: For each of the ratings, at least one but no more than two of the CDs received that rating. Headstrong received exactly one more star than Nice did. Either Headstrong or Reunion received the same number of stars as In Flight did. At most one CD received more stars than Quasi did.

Question: Which one of the following CANNOT be true?
Options:
Quasi is the only CD that received a rating of three stars.
Quasi is the only CD that received a rating of four stars.
Reunion is the only CD that received a rating of one star.
Reunion is the only CD that received a rating of two stars.
Reunion is the only CD that received a rating of three stars.
Correct option (0-indexed): 3
A critic has prepared a review of exactly six music CDs—Headstrong, In Flight, Nice, Quasi, Reunion, and Sounds Good. Each CD received a rating of either one, two, three, or four stars, with each CD receiving exactly one rating. Although the ratings were meant to be kept secret until the review was published, the following facts have been leaked to the public: For each of the ratings, at least one but no more than two of the CDs received that rating. Headstrong received exactly one more star than Nice did. Either Headstrong or Reunion received the same number of stars as In Flight did. At most one CD received more stars than Quasi did.

Question: If Reunion is the only CD that received a rating of one star, then which one of the following could be true?
Options:
Headstrong received a rating of four stars.
In Flight received a rating of two stars.
Nice received a rating of three stars.
Quasi received a rating of three stars.
Sounds Good received a rating of two stars.
Correct option (0-indexed): 4
A critic has prepared a review of exactly six music CDs—Headstrong, In Flight, Nice, Quasi, Reunion, and Sounds Good. Each CD received a rating of either one, two, three, or four stars, with each CD receiving exactly one rating. Although the ratings were meant to be kept secret until the review was published, the following facts have been leaked to the public: For each of the ratings, at least one but no more than two of the CDs received that rating. Headstrong received exactly one more star than Nice did. Either Headstrong or Reunion received the same number of stars as In Flight did. At most one CD received more stars than Quasi did.

Question: Which one of the following CANNOT have received a rating of four stars?
Options:
Headstrong
In Flight
Quasi
Reunion
Sounds Good
Correct option (0-indexed): 1
A cake has exactly six layers—lemon, marzipan, orange, raspberry, strawberry, and vanilla. There is exactly one bottom layer (the first layer), and each succeeding layer (from second through sixth) completely covers the layer beneath it. The following conditions must apply: The raspberry layer is neither immediately above nor immediately below the strawberry layer. The marzipan layer is immediately above the lemon layer. The orange layer is above the marzipan layer but below the strawberry layer.

Question: Which one of the following could be an accurate list of the layers of the cake, from bottom to top?
Options:
lemon, marzipan, orange, strawberry, vanilla, raspberry
lemon, marzipan, orange, strawberry, raspberry, vanilla
marzipan, lemon, raspberry, vanilla, orange, strawberry
raspberry, lemon, marzipan, vanilla, strawberry, orange
raspberry, orange, lemon, marzipan, strawberry, vanilla
Correct option (0-indexed): 0