context stringlengths 339 932 | question stringlengths 18 356 | answers listlengths 5 5 | label int64 0 4 |
|---|---|---|---|
Gutierrez, Hoffman, Imamura, Kelly, Lapas, and Moore ride a bus together. Each sits facing forward in a different one of the six seats on the left side of the bus. The seats are in consecutive rows that are numbered 1, 2, and 3 from front to back. Each row has exactly two seats: a window seat and an aisle seat. The fol... | If neither Gutierrez nor Imamura sits in row 1, then which one of the following could be true? | [
"Hoffman sits in row 2.",
"Kelly sits in row 2.",
"Moore sits in row 2.",
"Imamura occupies an aisle seat.",
"Moore occupies an aisle seat."
] | 2 |
An airline has four flights from New York to Sarasota—flights 1, 2, 3, and 4. On each flight there is exactly one pilot and exactly one co-pilot. The pilots are Fazio, Germond, Kyle, and Lopez; the co-pilots are Reich, Simon, Taylor, and Umlas. Each pilot and co-pilot is assigned to exactly one flight. The flights take... | Which one of the following pilot and co-pilot teams could be assigned to flight 1? | [
"Fazio and Reich",
"Fazio and Umlas",
"Germond and Reich",
"Germond and Umlas",
"Lopez and Taylor"
] | 0 |
An airline has four flights from New York to Sarasota—flights 1, 2, 3, and 4. On each flight there is exactly one pilot and exactly one co-pilot. The pilots are Fazio, Germond, Kyle, and Lopez; the co-pilots are Reich, Simon, Taylor, and Umlas. Each pilot and co-pilot is assigned to exactly one flight. The flights take... | If Reich's flight is later than Umlas's, which one of the following statements cannot be true? | [
"Fazio's flight is earlier than Simon's.",
"Kyle's flight is earlier than Reich's.",
"Kyle's flight is earlier than Taylor's.",
"Simon's flight is earlier than Reich's.",
"Taylor's flight is earlier than Kyle's."
] | 2 |
An airline has four flights from New York to Sarasota—flights 1, 2, 3, and 4. On each flight there is exactly one pilot and exactly one co-pilot. The pilots are Fazio, Germond, Kyle, and Lopez; the co-pilots are Reich, Simon, Taylor, and Umlas. Each pilot and co-pilot is assigned to exactly one flight. The flights take... | If Lopez's flight is earlier than Germond's, which one of the following statements could be false? | [
"Fazio's flight is earlier than Umlas's.",
"Germond is assigned to flight 4.",
"Either Reich's or Taylor's flight is earlier than Umlas's.",
"Simon's flight is earlier than Umlas's.",
"Umlas is assigned to flight 3."
] | 3 |
An airline has four flights from New York to Sarasota—flights 1, 2, 3, and 4. On each flight there is exactly one pilot and exactly one co-pilot. The pilots are Fazio, Germond, Kyle, and Lopez; the co-pilots are Reich, Simon, Taylor, and Umlas. Each pilot and co-pilot is assigned to exactly one flight. The flights take... | What is the maximum possible number of different pilot and co-pilot teams, any one of which could be assigned to flight 4? | [
"2",
"3",
"4",
"5",
"6"
] | 2 |
An airline has four flights from New York to Sarasota—flights 1, 2, 3, and 4. On each flight there is exactly one pilot and exactly one co-pilot. The pilots are Fazio, Germond, Kyle, and Lopez; the co-pilots are Reich, Simon, Taylor, and Umlas. Each pilot and co-pilot is assigned to exactly one flight. The flights take... | If Simon's flight is later than Lopez's, then which one of the following statements could be false? | [
"Germond's flight is later than Reich's.",
"Germond's flight is later than Taylor's.",
"Lopez's flight is later than Taylor's.",
"Taylor's flight is later than Reich's.",
"Umlas's flight is later than Reich's."
] | 3 |
A school has exactly four dormitories that are to be fully occupied—Richards, Tuscarora, Veblen, and Wisteria—each consisting entirely of a North wing and a South wing. The following rules govern assignment of students to dormitory wings: Each wing is assigned only male students or only female students. Exactly three w... | If females are assigned to Veblen South and Veblen North, then which one of the following could be two other wings that are also assigned females? | [
"Richards North and Tuscarora South",
"Richards South and Wisteria South",
"Richards South and Tuscarora North",
"Tuscarora North and Wisteria South",
"Tuscarora South and Wisteria South"
] | 3 |
A school has exactly four dormitories that are to be fully occupied—Richards, Tuscarora, Veblen, and Wisteria—each consisting entirely of a North wing and a South wing. The following rules govern assignment of students to dormitory wings: Each wing is assigned only male students or only female students. Exactly three w... | It CANNOT be true that females are assigned to both | [
"Richards South and Wisteria South",
"Richards South and Tuscarora South",
"Richards South and Veblen North",
"Tuscarora South and Wisteria South",
"Veblen North and Wisteria South"
] | 1 |
A school has exactly four dormitories that are to be fully occupied—Richards, Tuscarora, Veblen, and Wisteria—each consisting entirely of a North wing and a South wing. The following rules govern assignment of students to dormitory wings: Each wing is assigned only male students or only female students. Exactly three w... | If Wisteria North is assigned females, then females must also be assigned to which one of the following? | [
"Richards South",
"Wisteria South",
"Tuscarora South",
"Veblen South",
"Veblen North"
] | 3 |
A school has exactly four dormitories that are to be fully occupied—Richards, Tuscarora, Veblen, and Wisteria—each consisting entirely of a North wing and a South wing. The following rules govern assignment of students to dormitory wings: Each wing is assigned only male students or only female students. Exactly three w... | If males are assigned to Veblen South, which one of the following is a complete and accurate list of the wings that CANNOT be assigned males? | [
"Richards North, Tuscarora North",
"Richards North, Tuscarora North, Veblen North",
"Richards North, Tuscarora North, Wisteria South",
"Richards North, Tuscarora North, Veblen North, Wisteria South",
"Richards North, Richards South, Tuscarora North, Veblen North, Wisteria South"
] | 3 |
A school has exactly four dormitories that are to be fully occupied—Richards, Tuscarora, Veblen, and Wisteria—each consisting entirely of a North wing and a South wing. The following rules govern assignment of students to dormitory wings: Each wing is assigned only male students or only female students. Exactly three w... | If Tuscarora South is assigned females, then it could be true that females are assigned to both | [
"Richards South and Wisteria North",
"Richards South and Wisteria South",
"Veblen North and Wisteria North",
"Veblen South and Wisteria South",
"Veblen South and Veblen North"
] | 3 |
In a single day, exactly seven trucks—S, T, U, W, X, Y, and Z—are the only arrivals at a warehouse. No truck arrives at the same time as any other truck, and no truck arrives more than once that day. Each truck is either green or red (but not both). The following conditions apply: No two consecutive arrivals are red. Y... | Which one of the following could be the order, from first to last, in which the trucks arrive? | [
"X, Z, U, Y, W, S, T",
"X, Y, Z, U, W, S, T",
"Z, W, U, T, Y, S, X",
"Z, U, T, Y, W, S, X",
"U, Z, Y, T, S, W, X"
] | 0 |
In a single day, exactly seven trucks—S, T, U, W, X, Y, and Z—are the only arrivals at a warehouse. No truck arrives at the same time as any other truck, and no truck arrives more than once that day. Each truck is either green or red (but not both). The following conditions apply: No two consecutive arrivals are red. Y... | For which one of the following pairs of trucks is it the case that they CANNOT both be red? | [
"S and X",
"T and S",
"U and W",
"W and T",
"X and Z"
] | 1 |
In a single day, exactly seven trucks—S, T, U, W, X, Y, and Z—are the only arrivals at a warehouse. No truck arrives at the same time as any other truck, and no truck arrives more than once that day. Each truck is either green or red (but not both). The following conditions apply: No two consecutive arrivals are red. Y... | If X is the third arrival, then which one of the following trucks must be green? | [
"S",
"T",
"U",
"W",
"Z"
] | 2 |
In a single day, exactly seven trucks—S, T, U, W, X, Y, and Z—are the only arrivals at a warehouse. No truck arrives at the same time as any other truck, and no truck arrives more than once that day. Each truck is either green or red (but not both). The following conditions apply: No two consecutive arrivals are red. Y... | If exactly three of the trucks are green, then which one of the following trucks must be green? | [
"S",
"T",
"U",
"W",
"Z"
] | 0 |
In a single day, exactly seven trucks—S, T, U, W, X, Y, and Z—are the only arrivals at a warehouse. No truck arrives at the same time as any other truck, and no truck arrives more than once that day. Each truck is either green or red (but not both). The following conditions apply: No two consecutive arrivals are red. Y... | For exactly how many of the seven trucks can one determine exactly how many trucks arrived before it? | [
"one",
"two",
"three",
"four",
"five"
] | 1 |
In a single day, exactly seven trucks—S, T, U, W, X, Y, and Z—are the only arrivals at a warehouse. No truck arrives at the same time as any other truck, and no truck arrives more than once that day. Each truck is either green or red (but not both). The following conditions apply: No two consecutive arrivals are red. Y... | Which one of the following pairs of trucks CANNOT arrive consecutively at the warehouse? | [
"U and Y",
"X and Y",
"Y and T",
"Y and W",
"Y and Z"
] | 4 |
A total of six books occupies three small shelves—one on the first shelf, two on the second shelf, and three on the third shelf. Two of the books are grammars—one of Farsi, the other of Hausa. Two others are linguistics monographs—one on phonology, the other on semantics. The remaining two books are novels—one by Vonne... | Which one of the following could be an accurate matching of the bookshelves to the books on each of them? | [
"first shelf: Hausa grammar second shelf: semantics monograph, Vonnegut novel third shelf: Farsi grammar, phonology monograph, Woolf novel",
"first shelf: semantics monograph second shelf: Farsi grammar, Vonnegut novel third shelf: Hausa grammar, phonology monograph, Woolf novel",
"first shelf: Vonnegut novel s... | 1 |
A total of six books occupies three small shelves—one on the first shelf, two on the second shelf, and three on the third shelf. Two of the books are grammars—one of Farsi, the other of Hausa. Two others are linguistics monographs—one on phonology, the other on semantics. The remaining two books are novels—one by Vonne... | Which one of the following CANNOT be true? | [
"A grammar is on the first shelf.",
"A linguistics monograph is on the same shelf as the Hausa grammar.",
"A novel is on the first shelf.",
"The novels are on the same shelf as each other.",
"Neither linguistics monograph is on the first shelf."
] | 0 |
A total of six books occupies three small shelves—one on the first shelf, two on the second shelf, and three on the third shelf. Two of the books are grammars—one of Farsi, the other of Hausa. Two others are linguistics monographs—one on phonology, the other on semantics. The remaining two books are novels—one by Vonne... | Which one of the following must be true? | [
"A linguistics monograph and a grammar are on the second shelf.",
"A novel and a grammar are on the second shelf.",
"At least one linguistics monograph and at least one grammar are on the third shelf.",
"At least one novel and at least one grammar are on the third shelf.",
"At least one novel and at least o... | 3 |
A total of six books occupies three small shelves—one on the first shelf, two on the second shelf, and three on the third shelf. Two of the books are grammars—one of Farsi, the other of Hausa. Two others are linguistics monographs—one on phonology, the other on semantics. The remaining two books are novels—one by Vonne... | If both grammars are on the same shelf, which one of the following could be true? | [
"The phonology monograph is on the third shelf.",
"A novel is on the first shelf.",
"Both novels are on the second shelf.",
"The Farsi grammar is on the second shelf.",
"The phonology monograph is on the first shelf."
] | 4 |
A total of six books occupies three small shelves—one on the first shelf, two on the second shelf, and three on the third shelf. Two of the books are grammars—one of Farsi, the other of Hausa. Two others are linguistics monographs—one on phonology, the other on semantics. The remaining two books are novels—one by Vonne... | Which one of the following must be true? | [
"A linguistics monograph is on the first shelf.",
"No more than one novel is on each shelf.",
"The Farsi grammar is not on the same shelf as the Hausa grammar.",
"The semantics monograph is not on the same shelf as the Woolf novel.",
"The Woolf novel is not on the first shelf."
] | 4 |
A total of six books occupies three small shelves—one on the first shelf, two on the second shelf, and three on the third shelf. Two of the books are grammars—one of Farsi, the other of Hausa. Two others are linguistics monographs—one on phonology, the other on semantics. The remaining two books are novels—one by Vonne... | If the Farsi grammar is not on the third shelf, which one of the following could be true? | [
"The phonology monograph is on the second shelf.",
"The Hausa grammar is on the second shelf.",
"The semantics monograph is on the third shelf.",
"The Vonnegut novel is on the third shelf.",
"The Woolf novel is on the second shelf."
] | 2 |
A total of six books occupies three small shelves—one on the first shelf, two on the second shelf, and three on the third shelf. Two of the books are grammars—one of Farsi, the other of Hausa. Two others are linguistics monographs—one on phonology, the other on semantics. The remaining two books are novels—one by Vonne... | If the Hausa grammar and the phonology monograph are on the same shelf, which one of the following must be true? | [
"The phonology monograph is on the third shelf.",
"The Vonnegut novel is on the second shelf.",
"The semantics monograph is on the second shelf.",
"The semantics monograph is on the first shelf.",
"The Woolf novel is on the third shelf."
] | 4 |
A swim team with exactly five members—Jacobson, Kruger, Lu, Miller, Ortiz—swims a ten-lap relay race. Each team member swims exactly two of the laps: one swims laps 1 and 6, one swims laps 2 and 7, one swims laps 3 and 8, one swims laps 4 and 9, and one swims laps 5 and 10. The following conditions apply: Neither of Kr... | Which one of the following could be an accurate list of the swimmers of the first five laps, in order from lap 1 through lap 5? | [
"Jacobson, Kruger, Miller, Lu, Ortiz",
"Kruger, Miller, Ortiz, Jacobson, Lu",
"Lu, Miller, Jacobson, Kruger, Ortiz",
"Ortiz, Kruger, Miller, Lu, Jacobson",
"Miller, Ortiz, Jacobson, Kruger, Lu"
] | 0 |
A swim team with exactly five members—Jacobson, Kruger, Lu, Miller, Ortiz—swims a ten-lap relay race. Each team member swims exactly two of the laps: one swims laps 1 and 6, one swims laps 2 and 7, one swims laps 3 and 8, one swims laps 4 and 9, and one swims laps 5 and 10. The following conditions apply: Neither of Kr... | If Jacobson swims lap 8, then for exactly how many of the ten laps can one determine which team member swims the lap? | [
"ten",
"eight",
"six",
"four",
"two"
] | 0 |
A swim team with exactly five members—Jacobson, Kruger, Lu, Miller, Ortiz—swims a ten-lap relay race. Each team member swims exactly two of the laps: one swims laps 1 and 6, one swims laps 2 and 7, one swims laps 3 and 8, one swims laps 4 and 9, and one swims laps 5 and 10. The following conditions apply: Neither of Kr... | If Ortiz swims lap 4, then which one of the following could be true? | [
"Jacobson swims lap 1.",
"Jacobson swims lap 3.",
"Kruger swims lap 5.",
"Lu swims lap 3.",
"Miller swims lap 5."
] | 3 |
A swim team with exactly five members—Jacobson, Kruger, Lu, Miller, Ortiz—swims a ten-lap relay race. Each team member swims exactly two of the laps: one swims laps 1 and 6, one swims laps 2 and 7, one swims laps 3 and 8, one swims laps 4 and 9, and one swims laps 5 and 10. The following conditions apply: Neither of Kr... | Which one of the following could be true? | [
"Jacobson swims lap 4.",
"Kruger swims lap 5.",
"Lu swims lap 5.",
"Miller swims lap 10.",
"Ortiz swims lap 6."
] | 1 |
A swim team with exactly five members—Jacobson, Kruger, Lu, Miller, Ortiz—swims a ten-lap relay race. Each team member swims exactly two of the laps: one swims laps 1 and 6, one swims laps 2 and 7, one swims laps 3 and 8, one swims laps 4 and 9, and one swims laps 5 and 10. The following conditions apply: Neither of Kr... | Jacobson CANNOT swim which one of the following laps? | [
"lap 1",
"lap 2",
"lap 3",
"lap 6",
"lap 10"
] | 1 |
A swim team with exactly five members—Jacobson, Kruger, Lu, Miller, Ortiz—swims a ten-lap relay race. Each team member swims exactly two of the laps: one swims laps 1 and 6, one swims laps 2 and 7, one swims laps 3 and 8, one swims laps 4 and 9, and one swims laps 5 and 10. The following conditions apply: Neither of Kr... | Which one of the following could be an accurate list of the swimmers of the last five laps, in order from lap 6 through lap 10? | [
"Jacobson, Miller, Kruger, Ortiz, Lu",
"Kruger, Lu, Miller, Ortiz, Jacobson",
"Lu, Kruger, Miller, Ortiz, Jacobson",
"Miller, Kruger, Ortiz, Jacobson, Lu",
"Ortiz, Jacobson, Kruger, Miller, Lu"
] | 2 |
A car drives into the center ring of a circus and exactly eight clowns—Q, R, S, T, V, W, Y, and Z—get out of the car, one clown at a time. The order in which the clowns get out of the car is consistent with the following conditions: V gets out at some time before both Y and Q. Q gets out at some time after Z. T gets ou... | Which one of the following could be the order, from first to last, in which the clowns get out of the car? | [
"T, Z, V, R, W, Y, S, Q",
"Z, R, W, Q, T, V, Y, S",
"R, W, T, V, Q, Z, S, Y",
"Z, W, R, T, V, Y, Q, S",
"R, W, T, V, Z, S, Y, Q"
] | 4 |
A car drives into the center ring of a circus and exactly eight clowns—Q, R, S, T, V, W, Y, and Z—get out of the car, one clown at a time. The order in which the clowns get out of the car is consistent with the following conditions: V gets out at some time before both Y and Q. Q gets out at some time after Z. T gets ou... | Which one of the following could be true? | [
"Y is the second clown to get out of the car.",
"R is the third clown to get out of the car.",
"Q is the fourth clown to get out of the car.",
"S is the fifth clown to get out of the car.",
"V is the sixth clown to get out of the car."
] | 3 |
A car drives into the center ring of a circus and exactly eight clowns—Q, R, S, T, V, W, Y, and Z—get out of the car, one clown at a time. The order in which the clowns get out of the car is consistent with the following conditions: V gets out at some time before both Y and Q. Q gets out at some time after Z. T gets ou... | If Z is the seventh clown to get out of the car, then which one of the following could be true? | [
"R is the second clown to get out of the car.",
"T is the fourth clown to get out of the car.",
"W is the fifth clown to get out of the car.",
"V is the sixth clown to get out of the car.",
"Y is the eighth clown to get out of the car."
] | 2 |
A car drives into the center ring of a circus and exactly eight clowns—Q, R, S, T, V, W, Y, and Z—get out of the car, one clown at a time. The order in which the clowns get out of the car is consistent with the following conditions: V gets out at some time before both Y and Q. Q gets out at some time after Z. T gets ou... | If T is the fourth clown to get out of the car, then which one of the following must be true? | [
"R is the first clown to get out of the car.",
"Z is the second clown to get out of the car.",
"W is the third clown to get out of the car.",
"V is the fifth clown to get out of the car.",
"Y is the seventh clown to get out of the car."
] | 3 |
A car drives into the center ring of a circus and exactly eight clowns—Q, R, S, T, V, W, Y, and Z—get out of the car, one clown at a time. The order in which the clowns get out of the car is consistent with the following conditions: V gets out at some time before both Y and Q. Q gets out at some time after Z. T gets ou... | If Q is the fifth clown to get out of the car, then each of the following could be true EXCEPT: | [
"Z is the first clown to get out of the car.",
"T is the second clown to get out of the car.",
"V is the third clown to get out of the car.",
"W is the fourth clown to get out of the car.",
"Y is the sixth clown to get out of the car."
] | 3 |
A car drives into the center ring of a circus and exactly eight clowns—Q, R, S, T, V, W, Y, and Z—get out of the car, one clown at a time. The order in which the clowns get out of the car is consistent with the following conditions: V gets out at some time before both Y and Q. Q gets out at some time after Z. T gets ou... | If R is the second clown to get out of the car, which one of the following must be true? | [
"S gets out of the car at some time before T does.",
"T gets out of the car at some time before W does.",
"W gets out of the car at some time before V does.",
"Y gets out of the car at some time before Q does.",
"Z gets out of the car at some time before W does."
] | 4 |
A car drives into the center ring of a circus and exactly eight clowns—Q, R, S, T, V, W, Y, and Z—get out of the car, one clown at a time. The order in which the clowns get out of the car is consistent with the following conditions: V gets out at some time before both Y and Q. Q gets out at some time after Z. T gets ou... | If V gets out of the car at some time before Z does, then which one of the following could be true? | [
"R is the second clown to get out of the car.",
"T is the fourth clown to get out of the car.",
"Q is the fourth clown to get out of the car.",
"V is the fifth clown to get out of the car.",
"Z is the sixth clown to get out of the car."
] | 4 |
Each of six tasks—harvesting, milling, plowing, spinning, threshing, and weaving—will be demonstrated exactly once at a farm exhibition. No two tasks will be demonstrated concurrently. Three volunteers—Frank, Gladys, and Leslie—will each demonstrate exactly two of the tasks. The tasks must be demonstrated in accordance... | Which one of the following is an acceptable list of the volunteers and the tasks each demonstrates, in order from the first to the last demonstration? | [
"Frank: weaving; Gladys: threshing; Leslie: milling; Leslie: spinning; Frank: harvesting; Gladys: plowing",
"Leslie: plowing; Frank: harvesting; Frank: threshing; Leslie: milling; Gladys: spinning; Gladys: weaving",
"Leslie: plowing; Frank: spinning; Gladys: threshing; Leslie: milling; Frank: harvesting; Gladys... | 2 |
Each of six tasks—harvesting, milling, plowing, spinning, threshing, and weaving—will be demonstrated exactly once at a farm exhibition. No two tasks will be demonstrated concurrently. Three volunteers—Frank, Gladys, and Leslie—will each demonstrate exactly two of the tasks. The tasks must be demonstrated in accordance... | Which one of the following must be true? | [
"Frank demonstrates harvesting.",
"Frank demonstrates milling.",
"Frank demonstrates threshing.",
"Gladys demonstrates plowing.",
"Gladys demonstrates weaving."
] | 0 |
Each of six tasks—harvesting, milling, plowing, spinning, threshing, and weaving—will be demonstrated exactly once at a farm exhibition. No two tasks will be demonstrated concurrently. Three volunteers—Frank, Gladys, and Leslie—will each demonstrate exactly two of the tasks. The tasks must be demonstrated in accordance... | If Leslie performs the fourth demonstration, then harvesting could be the demonstration performed | [
"first",
"second",
"third",
"fourth",
"sixth"
] | 1 |
Each of six tasks—harvesting, milling, plowing, spinning, threshing, and weaving—will be demonstrated exactly once at a farm exhibition. No two tasks will be demonstrated concurrently. Three volunteers—Frank, Gladys, and Leslie—will each demonstrate exactly two of the tasks. The tasks must be demonstrated in accordance... | If Gladys demonstrates plowing immediately before Frank demonstrates threshing, which one of the following must be true? | [
"Frank demonstrates harvesting for the second demonstration.",
"Gladys demonstrates spinning for the fifth demonstration.",
"Leslie demonstrates weaving for the first demonstration.",
"Gladys performs the fourth demonstration.",
"Leslie performs the sixth demonstration."
] | 0 |
Each of six tasks—harvesting, milling, plowing, spinning, threshing, and weaving—will be demonstrated exactly once at a farm exhibition. No two tasks will be demonstrated concurrently. Three volunteers—Frank, Gladys, and Leslie—will each demonstrate exactly two of the tasks. The tasks must be demonstrated in accordance... | Which one of the following must be true? | [
"Frank performs the second demonstration.",
"Gladys performs the fourth demonstration.",
"Gladys performs the sixth demonstration.",
"Leslie performs the first demonstration.",
"Leslie performs the second demonstration."
] | 3 |
Each of six tasks—harvesting, milling, plowing, spinning, threshing, and weaving—will be demonstrated exactly once at a farm exhibition. No two tasks will be demonstrated concurrently. Three volunteers—Frank, Gladys, and Leslie—will each demonstrate exactly two of the tasks. The tasks must be demonstrated in accordance... | Which one of the following could be true? | [
"Harvesting is demonstrated first.",
"Milling is demonstrated second.",
"Threshing is demonstrated first.",
"Threshing is demonstrated last.",
"Weaving is demonstrated first."
] | 4 |
Seven job applicants—Feng, Garcia, Herrera, Ilias, Weiss, Xavier, and Yates—are hired to fill seven new positions at Chroma, Inc. One position is in the management department, three are in the production department, and three are in the sales department. The following conditions must apply: Herrera is hired for a posit... | Which one of the following could be a complete and accurate matching of the applicants with the departments in which they were hired? | [
"management: Weiss; production: Feng, Herrera, Yates; sales: Garcia, Ilias, Xavier",
"management: Weiss; production: Garcia, Ilias, Xavier; sales: Feng, Herrera, Yates",
"management: Xavier; production: Feng, Garcia, Herrera; sales: Ilias, Yates, Weiss",
"management: Xavier; production: Feng, Herrera, Ilias; ... | 4 |
Seven job applicants—Feng, Garcia, Herrera, Ilias, Weiss, Xavier, and Yates—are hired to fill seven new positions at Chroma, Inc. One position is in the management department, three are in the production department, and three are in the sales department. The following conditions must apply: Herrera is hired for a posit... | Which one of the following is a complete and accurate list of the applicants, each of whom CANNOT be hired for a production position? | [
"Feng, Ilias, Xavier",
"Garcia, Herrera, Yates",
"Herrera, Yates",
"Garcia",
"Ilias"
] | 3 |
Seven job applicants—Feng, Garcia, Herrera, Ilias, Weiss, Xavier, and Yates—are hired to fill seven new positions at Chroma, Inc. One position is in the management department, three are in the production department, and three are in the sales department. The following conditions must apply: Herrera is hired for a posit... | It can be determined in which department each of the seven applicants is hired if which one of the following statements is true? | [
"Feng and Weiss are both hired for production positions.",
"Garcia and Yates are both hired for sales positions.",
"Ilias and Weiss are both hired for sales positions.",
"Ilias and Weiss are both hired for production positions.",
"Ilias and Xavier are both hired for production positions."
] | 2 |
Seven job applicants—Feng, Garcia, Herrera, Ilias, Weiss, Xavier, and Yates—are hired to fill seven new positions at Chroma, Inc. One position is in the management department, three are in the production department, and three are in the sales department. The following conditions must apply: Herrera is hired for a posit... | Each of the following could be an accurate partial list of the applicants hired for sales positions EXCEPT: | [
"Garcia, Ilias",
"Garcia, Xavier",
"Garcia, Yates",
"Herrera, Weiss",
"Herrera, Xavier"
] | 1 |
Seven job applicants—Feng, Garcia, Herrera, Ilias, Weiss, Xavier, and Yates—are hired to fill seven new positions at Chroma, Inc. One position is in the management department, three are in the production department, and three are in the sales department. The following conditions must apply: Herrera is hired for a posit... | If Feng is hired for a position in the same department as Xavier, then each of the following could be true EXCEPT: | [
"Garcia is hired for a sales position.",
"Herrera is hired for a production position.",
"Ilias is hired for a sales position.",
"Weiss is hired for the management position.",
"Weiss is hired for a production position."
] | 1 |
Seven job applicants—Feng, Garcia, Herrera, Ilias, Weiss, Xavier, and Yates—are hired to fill seven new positions at Chroma, Inc. One position is in the management department, three are in the production department, and three are in the sales department. The following conditions must apply: Herrera is hired for a posit... | If Xavier is not hired for one of the production positions, then which one of the following could be true? | [
"Feng and Herrera are both hired for sales positions.",
"Herrera and Weiss are both hired for sales positions.",
"Feng and Yates are both hired for production positions.",
"Garcia and Weiss are both hired for production positions.",
"Herrera and Weiss are both hired for production positions."
] | 2 |
Musicians perform each of exactly five pieces—Nexus, Onyx, Synchrony, Tailwind, and Virtual—once, and one at a time; the pieces are performed successively (though not necessarily in that order). Each piece is performed with exactly two instruments: Nexus with fiddle and lute, Onyx with harp and mandolin, Synchrony with... | Which one of the following could be the order, from first to last, in which the pieces are performed? | [
"Nexus, Synchrony, Onyx, Virtual, Tailwind",
"Synchrony, Tailwind, Onyx, Nexus, Virtual",
"Tailwind, Nexus, Onyx, Virtual, Synchrony",
"Tailwind, Nexus, Synchrony, Onyx, Virtual",
"Virtual, Nexus, Synchrony, Onyx, Tailwind"
] | 3 |
Musicians perform each of exactly five pieces—Nexus, Onyx, Synchrony, Tailwind, and Virtual—once, and one at a time; the pieces are performed successively (though not necessarily in that order). Each piece is performed with exactly two instruments: Nexus with fiddle and lute, Onyx with harp and mandolin, Synchrony with... | Which one of the following instruments CANNOT be shared by the third and fourth pieces performed? | [
"fiddle",
"guitar",
"harp",
"lute",
"mandolin"
] | 0 |
Musicians perform each of exactly five pieces—Nexus, Onyx, Synchrony, Tailwind, and Virtual—once, and one at a time; the pieces are performed successively (though not necessarily in that order). Each piece is performed with exactly two instruments: Nexus with fiddle and lute, Onyx with harp and mandolin, Synchrony with... | If each piece (except the fifth) shares one instrument with the piece performed immediately after it, then which one of the following could be true? | [
"Virtual is performed first.",
"Synchrony is performed second.",
"Onyx is performed third.",
"Nexus is performed fourth.",
"Tailwind is performed fifth."
] | 0 |
Musicians perform each of exactly five pieces—Nexus, Onyx, Synchrony, Tailwind, and Virtual—once, and one at a time; the pieces are performed successively (though not necessarily in that order). Each piece is performed with exactly two instruments: Nexus with fiddle and lute, Onyx with harp and mandolin, Synchrony with... | Each of the following could be the piece performed first EXCEPT: | [
"Nexus",
"Onyx",
"Synchrony",
"Tailwind",
"Virtual"
] | 1 |
Musicians perform each of exactly five pieces—Nexus, Onyx, Synchrony, Tailwind, and Virtual—once, and one at a time; the pieces are performed successively (though not necessarily in that order). Each piece is performed with exactly two instruments: Nexus with fiddle and lute, Onyx with harp and mandolin, Synchrony with... | If Synchrony is performed fifth, then which one of the following could be true? | [
"Nexus is performed third.",
"Onyx is performed third.",
"Tailwind is performed fourth.",
"Virtual is performed first.",
"Virtual is performed second."
] | 3 |
Eight files will be ordered from first to eighth. Each file falls into exactly one of three categories: red files (H, M, O), green files (P, V, X), or yellow files (T, Z). The files must be ordered according to the following conditions: H must be placed into some position before O, but H cannot immediately precede O. X... | Which one of the following is an acceptable ordering of the files from first to eighth? | [
"H X O V Z M P T",
"P M Z H X O V T",
"P Z M H O T X V",
"X Z M V H T P O",
"Z M H P O X V T"
] | 3 |
Eight files will be ordered from first to eighth. Each file falls into exactly one of three categories: red files (H, M, O), green files (P, V, X), or yellow files (T, Z). The files must be ordered according to the following conditions: H must be placed into some position before O, but H cannot immediately precede O. X... | The largest possible number of files that can separate Z from H is | [
"two",
"three",
"four",
"five",
"six"
] | 2 |
Eight files will be ordered from first to eighth. Each file falls into exactly one of three categories: red files (H, M, O), green files (P, V, X), or yellow files (T, Z). The files must be ordered according to the following conditions: H must be placed into some position before O, but H cannot immediately precede O. X... | If each of the three red files is immediately followed by a green file, which one of the following must be a yellow file? | [
"the first",
"the second",
"the third",
"the fourth",
"the fifth"
] | 0 |
Eight files will be ordered from first to eighth. Each file falls into exactly one of three categories: red files (H, M, O), green files (P, V, X), or yellow files (T, Z). The files must be ordered according to the following conditions: H must be placed into some position before O, but H cannot immediately precede O. X... | The largest possible number of files that can separate X from V is | [
"three",
"four",
"five",
"six",
"seven"
] | 2 |
Eight files will be ordered from first to eighth. Each file falls into exactly one of three categories: red files (H, M, O), green files (P, V, X), or yellow files (T, Z). The files must be ordered according to the following conditions: H must be placed into some position before O, but H cannot immediately precede O. X... | If Z is placed in the fifth position, then which one of the following is a complete and accurate list of the positions, any one of which could be H's position? | [
"first, third, fourth",
"first, second, third",
"second, third, fourth",
"second, third, fourth, sixth",
"third, fourth, sixth, seventh"
] | 2 |
Exactly three employees of Capital Enterprises—Maria, Suki, and Tate—attend a three-day conference together. Each day, there are exactly three sessions on the three topics of the conference—one on hiring, one on investing, and one on regulations. The following rules govern the conference: Each conference participant at... | What is the maximum number of sessions attended by at least one Capital employee? | [
"three",
"four",
"five",
"six",
"seven"
] | 3 |
Exactly three employees of Capital Enterprises—Maria, Suki, and Tate—attend a three-day conference together. Each day, there are exactly three sessions on the three topics of the conference—one on hiring, one on investing, and one on regulations. The following rules govern the conference: Each conference participant at... | Which one of the following must be false? | [
"Maria attends sessions only on the first two days.",
"Suki attends sessions only on the last two days.",
"Exactly two Capital employees attend a session together on the second day.",
"Exactly one session is attended by one or more Capital employees on the second day.",
"Exactly three sessions are attended ... | 4 |
Exactly three employees of Capital Enterprises—Maria, Suki, and Tate—attend a three-day conference together. Each day, there are exactly three sessions on the three topics of the conference—one on hiring, one on investing, and one on regulations. The following rules govern the conference: Each conference participant at... | If exactly two sessions on the third day are attended by one or more Capital employees, then which one of the following must be true? | [
"Exactly two sessions on the first day are attended by one or more Capital employees.",
"Exactly two sessions on the second day are attended by one or more Capital employees.",
"Maria and Suki do not attend any session together.",
"Maria and Tate do not attend any session together.",
"Tate attends a session... | 2 |
Exactly three employees of Capital Enterprises—Maria, Suki, and Tate—attend a three-day conference together. Each day, there are exactly three sessions on the three topics of the conference—one on hiring, one on investing, and one on regulations. The following rules govern the conference: Each conference participant at... | Each of the following is possible EXCEPT: | [
"Every session attended by at least one Capital employee is attended by exactly one Capital employee.",
"Every session attended by at least one Capital employee is attended by exactly two Capital employees.",
"Every session attended by Maria is also attended by Suki.",
"Every session attended by Suki is also ... | 1 |
Exactly three employees of Capital Enterprises—Maria, Suki, and Tate—attend a three-day conference together. Each day, there are exactly three sessions on the three topics of the conference—one on hiring, one on investing, and one on regulations. The following rules govern the conference: Each conference participant at... | If all three sessions on the first day are attended by one or more Capital employees, then which one of the following must be false? | [
"Maria and Suki attend a session together on the third day.",
"Suki and Tate attend a session together on the second day.",
"Maria attends a session on hiring on the second day.",
"Suki attends a session on regulations on the third day.",
"Tate attends a session on investing on the first day."
] | 0 |
Exactly three employees of Capital Enterprises—Maria, Suki, and Tate—attend a three-day conference together. Each day, there are exactly three sessions on the three topics of the conference—one on hiring, one on investing, and one on regulations. The following rules govern the conference: Each conference participant at... | If Maria and Tate are the only Capital employees to attend a session on the first day, then each of the following could be true EXCEPT: | [
"Maria and Suki attend exactly two sessions together.",
"Maria and Tate attend exactly two sessions together.",
"Suki and Tate attend exactly one session together.",
"Maria attends a session on regulations on the second day.",
"Tate attends a session on hiring on the second day."
] | 0 |
Of the five Pohl children—Sara, Theo, Uma, Will, and Zoe—three are left-handed and two are right-handed. Each of the five children was born in a different one of seven calendar years, 1990 through 1996. The following conditions apply: No two left-handed children were born in consecutive years. No two right-handed child... | Which one of the following could be an accurate matching of each Pohl child with the year in which that child was born? | [
"Sara: 1990; Zoe: 1992; Uma: 1993; Will: 1994; and Theo: 1995",
"Sara: 1991; Uma: 1993; Theo: 1994; Zoe: 1995; and Will: 1996",
"Zoe: 1990; Sara: 1991; Uma: 1992; Theo: 1994; and Will: 1995",
"Zoe: 1990; Sara: 1991; Uma: 1993; Theo: 1994; and Will: 1995",
"Zoe: 1990; Sara: 1991; Uma: 1993; Theo: 1994; and W... | 4 |
Of the five Pohl children—Sara, Theo, Uma, Will, and Zoe—three are left-handed and two are right-handed. Each of the five children was born in a different one of seven calendar years, 1990 through 1996. The following conditions apply: No two left-handed children were born in consecutive years. No two right-handed child... | If Sara was born before Zoe was born, then which one of the following statements CANNOT be true? | [
"Will is left-handed.",
"Zoe is left-handed.",
"Theo was born after Will was born.",
"Uma was born after Zoe was born.",
"No child was born in 1990."
] | 3 |
Of the five Pohl children—Sara, Theo, Uma, Will, and Zoe—three are left-handed and two are right-handed. Each of the five children was born in a different one of seven calendar years, 1990 through 1996. The following conditions apply: No two left-handed children were born in consecutive years. No two right-handed child... | Which one of the following must be false? | [
"None of the children was born in 1990, nor was a child born in 1992.",
"None of the children was born in 1992, nor was a child born in 1995.",
"None of the children was born in 1994, nor was a child born in 1996.",
"One of the children was born in 1990, and another in 1993.",
"One of the children was born ... | 2 |
Of the five Pohl children—Sara, Theo, Uma, Will, and Zoe—three are left-handed and two are right-handed. Each of the five children was born in a different one of seven calendar years, 1990 through 1996. The following conditions apply: No two left-handed children were born in consecutive years. No two right-handed child... | If Theo was born after Will was born, then how many sequential orderings of the children, from firstborn to lastborn, are possible? | [
"one",
"two",
"three",
"four",
"five"
] | 1 |
Of the five Pohl children—Sara, Theo, Uma, Will, and Zoe—three are left-handed and two are right-handed. Each of the five children was born in a different one of seven calendar years, 1990 through 1996. The following conditions apply: No two left-handed children were born in consecutive years. No two right-handed child... | If none of the children was born in 1995, then which one of the following statements must be true? | [
"Theo was born in 1994.",
"Will was born in 1994.",
"Will was born in 1996.",
"Zoe was born in 1990.",
"Zoe was born in 1994."
] | 3 |
Of the five Pohl children—Sara, Theo, Uma, Will, and Zoe—three are left-handed and two are right-handed. Each of the five children was born in a different one of seven calendar years, 1990 through 1996. The following conditions apply: No two left-handed children were born in consecutive years. No two right-handed child... | If Theo is right-handed, then each of the following statements must be false EXCEPT: | [
"Theo was born in 1996.",
"Will was born in 1995.",
"Uma was born exactly three years before Theo was born.",
"Zoe was born exactly one year before Theo was born.",
"Will is right-handed."
] | 3 |
Of the five Pohl children—Sara, Theo, Uma, Will, and Zoe—three are left-handed and two are right-handed. Each of the five children was born in a different one of seven calendar years, 1990 through 1996. The following conditions apply: No two left-handed children were born in consecutive years. No two right-handed child... | If Zoe was born before Uma was born, then which one of the following statements must be false? | [
"No child was born in 1992.",
"No child was born in 1995.",
"Theo is left-handed.",
"Zoe is left-handed.",
"Will is left-handed."
] | 3 |
Barbara is shopping at a pet store to select fish for her new aquarium from among the following species: J, K, L, M, N, O, and P. For each of the seven species, the store has several fish available. Barbara makes her selection in a manner consistent with the following conditions: If she selects one or more K, then she ... | Which one of the following could be a complete and accurate list of the fish Barbara selects for her aquarium? | [
"three J, one K, two M",
"one J, one K, one M, three O",
"one J, one M, two O, one P",
"one J, one N, one O, two P",
"one M, one N, two O, one P"
] | 2 |
Barbara is shopping at a pet store to select fish for her new aquarium from among the following species: J, K, L, M, N, O, and P. For each of the seven species, the store has several fish available. Barbara makes her selection in a manner consistent with the following conditions: If she selects one or more K, then she ... | If Barbara does not select any fish of species P, then it could be true that she selects fish of species | [
"J and of species K",
"J and of species M",
"K and of species M",
"K and of species N",
"L and of species O"
] | 0 |
Barbara is shopping at a pet store to select fish for her new aquarium from among the following species: J, K, L, M, N, O, and P. For each of the seven species, the store has several fish available. Barbara makes her selection in a manner consistent with the following conditions: If she selects one or more K, then she ... | If Barbara selects fish of as many species as possible, then she cannot select any fish of which one of the following species? | [
"K",
"L",
"M",
"N",
"P"
] | 0 |
Barbara is shopping at a pet store to select fish for her new aquarium from among the following species: J, K, L, M, N, O, and P. For each of the seven species, the store has several fish available. Barbara makes her selection in a manner consistent with the following conditions: If she selects one or more K, then she ... | Which one of the following statements must be false? | [
"Barbara selects exactly four fish, at least one of which is a J.",
"Barbara selects exactly four fish, at least one of which is an L.",
"Barbara selects exactly three fish, at least one of which is an M.",
"Barbara selects exactly three fish, at least one of which is an O.",
"Barbara selects exactly three ... | 2 |
Barbara is shopping at a pet store to select fish for her new aquarium from among the following species: J, K, L, M, N, O, and P. For each of the seven species, the store has several fish available. Barbara makes her selection in a manner consistent with the following conditions: If she selects one or more K, then she ... | If Barbara selects at least one fish for her aquarium, then which one of the following lists the minimum and maximum possible numbers, respectively, of different species of fish that Barbara selects? | [
"1, 4",
"1, 5",
"1, 6",
"2, 5",
"2, 6"
] | 1 |
Charlie makes a soup by adding exactly six kinds of foods—kale, lentils, mushrooms, onions, tomatoes, and zucchini—to a broth, one food at a time. No food is added more than once. The order in which Charlie adds the foods to the broth must be consistent with the following: If the mushrooms are added third, then the len... | Which one of the following could be the order in which the foods are added to the broth? | [
"kale, mushrooms, onions, lentils, tomatoes, zucchini",
"kale, zucchini, mushrooms, tomatoes, lentils, onions",
"lentils, mushrooms, zucchini, kale, onions, tomatoes",
"zucchini, lentils, kale, mushrooms, onions, tomatoes",
"zucchini, tomatoes, onions, mushrooms, lentils, kale"
] | 3 |
Charlie makes a soup by adding exactly six kinds of foods—kale, lentils, mushrooms, onions, tomatoes, and zucchini—to a broth, one food at a time. No food is added more than once. The order in which Charlie adds the foods to the broth must be consistent with the following: If the mushrooms are added third, then the len... | Which one of the following foods CANNOT be added first? | [
"kale",
"lentils",
"mushrooms",
"onions",
"tomatoes"
] | 2 |
Charlie makes a soup by adding exactly six kinds of foods—kale, lentils, mushrooms, onions, tomatoes, and zucchini—to a broth, one food at a time. No food is added more than once. The order in which Charlie adds the foods to the broth must be consistent with the following: If the mushrooms are added third, then the len... | If the lentils are added last, then which one of the following must be true? | [
"At least one of the foods is added at some time before the zucchini.",
"At least two of the foods are added at some time before the kale.",
"The mushrooms are added third.",
"The zucchini is added third.",
"The tomatoes are added fourth."
] | 0 |
Charlie makes a soup by adding exactly six kinds of foods—kale, lentils, mushrooms, onions, tomatoes, and zucchini—to a broth, one food at a time. No food is added more than once. The order in which Charlie adds the foods to the broth must be consistent with the following: If the mushrooms are added third, then the len... | Which one of the following could be an accurate partial ordering of the foods added to the broth? | [
"lentils: second; mushrooms: third",
"mushrooms: fourth; lentils: last",
"onions: second; mushrooms: fifth",
"zucchini: first; lentils: last",
"zucchini: first; mushrooms: second"
] | 2 |
Charlie makes a soup by adding exactly six kinds of foods—kale, lentils, mushrooms, onions, tomatoes, and zucchini—to a broth, one food at a time. No food is added more than once. The order in which Charlie adds the foods to the broth must be consistent with the following: If the mushrooms are added third, then the len... | If the zucchini is added first, then which one of the following CANNOT be true? | [
"The kale is added second.",
"The tomatoes are added second.",
"The lentils are added third.",
"The lentils are added fourth.",
"The onions are added fourth."
] | 3 |
A study sponsored by a consumer group tests exactly five of seven cold medications—F, G, H, I, K, L, and M—and ranks the medications tested from first (best) to fifth (worst). There are no ties. The following conditions must apply: L ranks second. Either F or G ranks first. I is tested. H ranks better than G if both ar... | Which one of the following could be the five cold medications that the study ranks, listed from first to fifth? | [
"F, I, L, H, G",
"F, L, G, H, M",
"F, L, I, G, M",
"F, L, I, H, M",
"F, L, K, I, G"
] | 3 |
A study sponsored by a consumer group tests exactly five of seven cold medications—F, G, H, I, K, L, and M—and ranks the medications tested from first (best) to fifth (worst). There are no ties. The following conditions must apply: L ranks second. Either F or G ranks first. I is tested. H ranks better than G if both ar... | Which one of the following could be true of the study? | [
"G ranks better than M.",
"H ranks better than F.",
"I ranks better than F.",
"K ranks better than G.",
"M ranks better than G."
] | 2 |
A study sponsored by a consumer group tests exactly five of seven cold medications—F, G, H, I, K, L, and M—and ranks the medications tested from first (best) to fifth (worst). There are no ties. The following conditions must apply: L ranks second. Either F or G ranks first. I is tested. H ranks better than G if both ar... | Which one of the following cold medications must be among those tested in the study? | [
"F",
"G",
"H",
"K",
"M"
] | 0 |
A study sponsored by a consumer group tests exactly five of seven cold medications—F, G, H, I, K, L, and M—and ranks the medications tested from first (best) to fifth (worst). There are no ties. The following conditions must apply: L ranks second. Either F or G ranks first. I is tested. H ranks better than G if both ar... | Which one of the following is a complete and accurate list of the cold medications any one of which could be the cold medication ranked fifth? | [
"F, G, H, M",
"G, H, I, M",
"G, H, L, M",
"F, G, H, I, K",
"F, G, H, I, M"
] | 4 |
A study sponsored by a consumer group tests exactly five of seven cold medications—F, G, H, I, K, L, and M—and ranks the medications tested from first (best) to fifth (worst). There are no ties. The following conditions must apply: L ranks second. Either F or G ranks first. I is tested. H ranks better than G if both ar... | If I ranks third, each of the following could also be true of the study EXCEPT: | [
"M ranks better than H.",
"K ranks better than G.",
"I ranks better than F.",
"H ranks better than M.",
"G ranks better than K."
] | 1 |
Each nonstop flight offered by Zephyr Airlines departs from one and arrives at another of five cities: Honolulu, Montreal, Philadelphia, Toronto, and Vancouver. Any two cities are said to be connected with each other if Zephyr offers nonstop flights between them. Each city is connected with at least one other city. The... | Which one of the following could be a complete and accurate list of Zephyr Airlines' connected cities? | [
"Honolulu and Vancouver; Montreal and Toronto; Philadelphia and Vancouver; Toronto and Vancouver",
"Honolulu and Vancouver; Montreal and Philadelphia; Montreal and Toronto; Philadelphia and Toronto; Toronto and Vancouver",
"Honolulu and Philadelphia; Honolulu and Montreal; Philadelphia and Toronto; Toronto and ... | 0 |
Each nonstop flight offered by Zephyr Airlines departs from one and arrives at another of five cities: Honolulu, Montreal, Philadelphia, Toronto, and Vancouver. Any two cities are said to be connected with each other if Zephyr offers nonstop flights between them. Each city is connected with at least one other city. The... | If exactly three cities are each connected with Philadelphia, then which one of the following could be a pair of connected cities? | [
"Honolulu and Montreal",
"Honolulu and Vancouver",
"Montreal and Toronto",
"Montreal and Vancouver",
"Philadelphia and Vancouver"
] | 1 |
Each nonstop flight offered by Zephyr Airlines departs from one and arrives at another of five cities: Honolulu, Montreal, Philadelphia, Toronto, and Vancouver. Any two cities are said to be connected with each other if Zephyr offers nonstop flights between them. Each city is connected with at least one other city. The... | Which one of the following is a pair of cities that CANNOT be connected? | [
"Honolulu and Montreal",
"Honolulu and Philadelphia",
"Montreal and Philadelphia",
"Montreal and Vancouver",
"Philadelphia and Toronto"
] | 0 |
Each nonstop flight offered by Zephyr Airlines departs from one and arrives at another of five cities: Honolulu, Montreal, Philadelphia, Toronto, and Vancouver. Any two cities are said to be connected with each other if Zephyr offers nonstop flights between them. Each city is connected with at least one other city. The... | Which one of the following could be true? | [
"Montreal and Philadelphia are connected with each other, but neither is connected with any other city.",
"Montreal and Toronto are connected with each other, but neither is connected with any other city.",
"Philadelphia and Toronto are connected with each other, but neither is connected with any other city.",
... | 0 |
Each nonstop flight offered by Zephyr Airlines departs from one and arrives at another of five cities: Honolulu, Montreal, Philadelphia, Toronto, and Vancouver. Any two cities are said to be connected with each other if Zephyr offers nonstop flights between them. Each city is connected with at least one other city. The... | If Toronto is the only city that is connected with Philadelphia, then which one of the following could be true? | [
"Exactly one city is connected with Toronto.",
"Exactly one city is connected with Vancouver.",
"Exactly two cities are each connected with Honolulu.",
"Exactly two cities are each connected with Toronto.",
"Exactly four cities are each connected with Toronto."
] | 3 |
Each nonstop flight offered by Zephyr Airlines departs from one and arrives at another of five cities: Honolulu, Montreal, Philadelphia, Toronto, and Vancouver. Any two cities are said to be connected with each other if Zephyr offers nonstop flights between them. Each city is connected with at least one other city. The... | At most how many pairs of cities could be connected? | [
"four",
"five",
"six",
"seven",
"eight"
] | 1 |
Each nonstop flight offered by Zephyr Airlines departs from one and arrives at another of five cities: Honolulu, Montreal, Philadelphia, Toronto, and Vancouver. Any two cities are said to be connected with each other if Zephyr offers nonstop flights between them. Each city is connected with at least one other city. The... | If four of the cities are each connected with the remaining city, then the cities in which one of the following pairs must be connected with each other? | [
"Honolulu and Montreal",
"Honolulu and Philadelphia",
"Honolulu and Vancouver",
"Montreal and Philadelphia",
"Montreal and Toronto"
] | 2 |
For a behavioral study, a researcher will select exactly six individual animals from among three monkeys—F, G, and H—three pandas—K, L, and N—and three raccoons—T, V, and Z. The selection of animals for the study must meet the following conditions: F and H are not both selected. N and T are not both selected. If H is s... | Which one of the following is an acceptable selection of animals for the study? | [
"F, G, K, N, T, V",
"F, H, K, N, V, Z",
"G, H, K, L, V, Z",
"G, H, K, N, V, Z",
"G, H, L, N, V, Z"
] | 3 |
For a behavioral study, a researcher will select exactly six individual animals from among three monkeys—F, G, and H—three pandas—K, L, and N—and three raccoons—T, V, and Z. The selection of animals for the study must meet the following conditions: F and H are not both selected. N and T are not both selected. If H is s... | If H and L are among the animals selected, which one of the following could be true? | [
"F is selected.",
"T is selected.",
"Z is selected.",
"Exactly one panda is selected.",
"Exactly two pandas are selected."
] | 2 |
For a behavioral study, a researcher will select exactly six individual animals from among three monkeys—F, G, and H—three pandas—K, L, and N—and three raccoons—T, V, and Z. The selection of animals for the study must meet the following conditions: F and H are not both selected. N and T are not both selected. If H is s... | Each of the following is a pair of animals that could be selected together EXCEPT | [
"F and G",
"H and K",
"K and T",
"L and N",
"T and V"
] | 2 |
For a behavioral study, a researcher will select exactly six individual animals from among three monkeys—F, G, and H—three pandas—K, L, and N—and three raccoons—T, V, and Z. The selection of animals for the study must meet the following conditions: F and H are not both selected. N and T are not both selected. If H is s... | If all three of the raccoons are selected, which one of the following must be true? | [
"K is selected.",
"L is selected.",
"Exactly one monkey is selected.",
"Exactly two pandas are selected.",
"All three of the monkeys are selected."
] | 1 |
For a behavioral study, a researcher will select exactly six individual animals from among three monkeys—F, G, and H—three pandas—K, L, and N—and three raccoons—T, V, and Z. The selection of animals for the study must meet the following conditions: F and H are not both selected. N and T are not both selected. If H is s... | If T is selected, which one of the following is a pair of animals that must be among the animals selected? | [
"F and G",
"G and H",
"K and L",
"K and Z",
"L and N"
] | 0 |
For a behavioral study, a researcher will select exactly six individual animals from among three monkeys—F, G, and H—three pandas—K, L, and N—and three raccoons—T, V, and Z. The selection of animals for the study must meet the following conditions: F and H are not both selected. N and T are not both selected. If H is s... | The selection of animals must include | [
"at most two of each kind of animal",
"at least one of each kind of animal",
"at least two pandas",
"exactly two monkeys",
"exactly two raccoons"
] | 1 |
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