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Exactly eight boats—Jewel, Kashmir, Neptune, Ojibwa, Pacific, Spain, Tornado, and Valhalla—arrived at a dock. No boat arrived at the same time as any other boat. The boats arrived in an order consistent with the following conditions: Tornado arrived before Spain but after Jewel. Neptune arrived before Tornado. Kashmir arrived after Jewel but before Spain. Spain arrived before Ojibwa. | Of the boats, what are, respectively, the minimum number and the maximum number that could have arrived before Kashmir? | [
"one, five",
"two, five",
"three, five",
"one, six",
"two, six"
] | 0 |
A park contains at most five of seven kinds of trees—firs, laurels, maples, oaks, pines, spruces, and yews—consistent with the following conditions: If maples are in the park, yews are not. If firs are in the park, pines are not. If yews are not in the park, then either laurels or oaks, but not both, are in the park. If it is not the case that the park contains both laurels and oaks, then it contains firs and spruces. | Which one of the following could be a complete and accurate list of the kinds of trees in the park? | [
"firs, maples",
"firs, laurels, oaks",
"firs, laurels, pines, spruces",
"firs, laurels, spruces, yews",
"firs, maples, oaks, spruces, yews"
] | 3 |
A park contains at most five of seven kinds of trees—firs, laurels, maples, oaks, pines, spruces, and yews—consistent with the following conditions: If maples are in the park, yews are not. If firs are in the park, pines are not. If yews are not in the park, then either laurels or oaks, but not both, are in the park. If it is not the case that the park contains both laurels and oaks, then it contains firs and spruces. | If neither maples nor spruces are in the park, then which one of the following could be true? | [
"Exactly four kinds of trees are in the park.",
"Exactly five kinds of trees are in the park.",
"Laurels are not in the park.",
"Oaks are not in the park.",
"Yews are not in the park."
] | 0 |
A park contains at most five of seven kinds of trees—firs, laurels, maples, oaks, pines, spruces, and yews—consistent with the following conditions: If maples are in the park, yews are not. If firs are in the park, pines are not. If yews are not in the park, then either laurels or oaks, but not both, are in the park. If it is not the case that the park contains both laurels and oaks, then it contains firs and spruces. | Which one of the following could be true? | [
"Neither firs nor laurels are in the park.",
"Neither laurels, oaks, nor yews are in the park.",
"Neither laurels nor spruces are in the park.",
"Neither maples nor yews are in the park.",
"Neither oaks nor spruces are in the park."
] | 3 |
A park contains at most five of seven kinds of trees—firs, laurels, maples, oaks, pines, spruces, and yews—consistent with the following conditions: If maples are in the park, yews are not. If firs are in the park, pines are not. If yews are not in the park, then either laurels or oaks, but not both, are in the park. If it is not the case that the park contains both laurels and oaks, then it contains firs and spruces. | If firs are not in the park, then which one of the following must be true? | [
"Maples are not in the park.",
"Spruces are not in the park.",
"Yews are not in the park.",
"Pines are in the park.",
"Spruces are in the park."
] | 0 |
A park contains at most five of seven kinds of trees—firs, laurels, maples, oaks, pines, spruces, and yews—consistent with the following conditions: If maples are in the park, yews are not. If firs are in the park, pines are not. If yews are not in the park, then either laurels or oaks, but not both, are in the park. If it is not the case that the park contains both laurels and oaks, then it contains firs and spruces. | If pines are in the park, then which one of the following must be true? | [
"Exactly four kinds of trees are in the park.",
"Exactly five kinds of trees are in the park.",
"Neither firs nor maples are in the park.",
"Neither firs nor oaks are in the park.",
"Neither laurels nor maples are in the park."
] | 2 |
A park contains at most five of seven kinds of trees—firs, laurels, maples, oaks, pines, spruces, and yews—consistent with the following conditions: If maples are in the park, yews are not. If firs are in the park, pines are not. If yews are not in the park, then either laurels or oaks, but not both, are in the park. If it is not the case that the park contains both laurels and oaks, then it contains firs and spruces. | Each of the following could be an accurate, partial list of the kinds of trees in the park EXCEPT: | [
"oaks, spruces",
"oaks, yews",
"firs, laurels, oaks",
"firs, maples, oaks",
"laurels, maples, oaks"
] | 4 |
Four married couples—Francisco and Gabrielle, Kyoko and Lee, Olivia and Peter, Raymond and Simone—will dine together at the same circular table. Each person will sit in a different one of the eight chairs evenly spaced around the table. The chairs are numbered from 1 through 8 with successively numbered chairs next to each other and chair 1 next to chair 8. Seating arrangements must meet the following conditions: No person sits next to her or his spouse. Simone sits in chair 1 and Raymond sits in chair 4. Neither Peter nor Olivia sits next to Raymond. Neither Kyoko nor Lee sits next to Gabrielle. | Which one of the following could be the list of people sitting in chairs 5 through 8, respectively? | [
"Francisco, Olivia, Gabrielle, Peter",
"Francisco, Gabrielle, Peter, Lee",
"Olivia, Gabrielle, Peter, Kyoko",
"Gabrielle, Lee, Olivia, Kyoko",
"Lee, Olivia, Francisco, Kyoko"
] | 4 |
Four married couples—Francisco and Gabrielle, Kyoko and Lee, Olivia and Peter, Raymond and Simone—will dine together at the same circular table. Each person will sit in a different one of the eight chairs evenly spaced around the table. The chairs are numbered from 1 through 8 with successively numbered chairs next to each other and chair 1 next to chair 8. Seating arrangements must meet the following conditions: No person sits next to her or his spouse. Simone sits in chair 1 and Raymond sits in chair 4. Neither Peter nor Olivia sits next to Raymond. Neither Kyoko nor Lee sits next to Gabrielle. | Each of the following could be true EXCEPT: | [
"Peter and Gabrielle sit in chairs 2 and 3, respectively.",
"Peter and Kyoko sit in chairs 1 and 3, respectively.",
"Francisco, Kyoko, and Peter sit in chairs 5, 6, and 7, respectively.",
"Gabrielle, Olivia, and Kyoko sit in chairs 5, 6, and 7, respectively.",
"Gabrielle, Peter, and Lee sit in chairs 5, 6, and 7, respectively."
] | 1 |
Four married couples—Francisco and Gabrielle, Kyoko and Lee, Olivia and Peter, Raymond and Simone—will dine together at the same circular table. Each person will sit in a different one of the eight chairs evenly spaced around the table. The chairs are numbered from 1 through 8 with successively numbered chairs next to each other and chair 1 next to chair 8. Seating arrangements must meet the following conditions: No person sits next to her or his spouse. Simone sits in chair 1 and Raymond sits in chair 4. Neither Peter nor Olivia sits next to Raymond. Neither Kyoko nor Lee sits next to Gabrielle. | If Francisco sits in chair 2 and Olivia sits next to Simone, Gabrielle must sit next to which one of the following persons? | [
"Francisco",
"Olivia",
"Lee",
"Raymond",
"Peter"
] | 4 |
Four married couples—Francisco and Gabrielle, Kyoko and Lee, Olivia and Peter, Raymond and Simone—will dine together at the same circular table. Each person will sit in a different one of the eight chairs evenly spaced around the table. The chairs are numbered from 1 through 8 with successively numbered chairs next to each other and chair 1 next to chair 8. Seating arrangements must meet the following conditions: No person sits next to her or his spouse. Simone sits in chair 1 and Raymond sits in chair 4. Neither Peter nor Olivia sits next to Raymond. Neither Kyoko nor Lee sits next to Gabrielle. | If neither Gabrielle nor Lee sits next to Raymond, which one of the following must be true? | [
"Francisco sits next to Raymond.",
"Olivia sits next to Simone.",
"Francisco sits in chair 3.",
"Olivia sits in chair 6.",
"Olivia sits in chair 7."
] | 0 |
Four married couples—Francisco and Gabrielle, Kyoko and Lee, Olivia and Peter, Raymond and Simone—will dine together at the same circular table. Each person will sit in a different one of the eight chairs evenly spaced around the table. The chairs are numbered from 1 through 8 with successively numbered chairs next to each other and chair 1 next to chair 8. Seating arrangements must meet the following conditions: No person sits next to her or his spouse. Simone sits in chair 1 and Raymond sits in chair 4. Neither Peter nor Olivia sits next to Raymond. Neither Kyoko nor Lee sits next to Gabrielle. | If Lee sits in chair 2, which one of the following must be true? | [
"Peter sits next to Gabrielle.",
"Kyoko sits next to Simone.",
"Francisco sits next to Lee.",
"Gabrielle sits in chair 5.",
"Olivia sits in chair 6."
] | 2 |
Four married couples—Francisco and Gabrielle, Kyoko and Lee, Olivia and Peter, Raymond and Simone—will dine together at the same circular table. Each person will sit in a different one of the eight chairs evenly spaced around the table. The chairs are numbered from 1 through 8 with successively numbered chairs next to each other and chair 1 next to chair 8. Seating arrangements must meet the following conditions: No person sits next to her or his spouse. Simone sits in chair 1 and Raymond sits in chair 4. Neither Peter nor Olivia sits next to Raymond. Neither Kyoko nor Lee sits next to Gabrielle. | If both Francisco and Gabrielle sit next to Raymond, which one of the following is a complete and accurate list of people any one of whom could sit next to Olivia? | [
"Francisco, Gabrielle, Kyoko",
"Lee, Simone, Kyoko",
"Lee, Gabrielle, Kyoko",
"Francisco, Lee, Gabrielle, Kyoko",
"Lee, Simone, Gabrielle, Kyoko"
] | 4 |
Zeno's Unfinished Furniture sells exactly five types of furniture—footstools, hutches, sideboards, tables, and vanities. Irene buys just four items, each of a different type, and each made entirely of one kind of wood—maple, oak, pine, or rosewood. The following conditions govern Irene's purchases: Any vanity she buys is maple. Any rosewood item she buys is a sideboard. If she buys a vanity, she does not buy a footstool. If Irene buys a footstool, she also buys a table made of the same wood. Irene does not buy an oak table. Exactly two of the items she buys are made of the same kind of wood as each other. | Which one of the following could be an accurate list of the items Irene buys? | [
"Maple footstool, maple hutch, rosewood sideboard, maple table",
"oak hutch, rosewood sideboard, pine table, oak vanity",
"rosewood hutch, maple sideboard, oak table, maple vanity",
"pine footstool, rosewood sideboard, pine table, maple vanity",
"maple footstool, pine hutch, oak sideboard, maple table"
] | 4 |
Zeno's Unfinished Furniture sells exactly five types of furniture—footstools, hutches, sideboards, tables, and vanities. Irene buys just four items, each of a different type, and each made entirely of one kind of wood—maple, oak, pine, or rosewood. The following conditions govern Irene's purchases: Any vanity she buys is maple. Any rosewood item she buys is a sideboard. If she buys a vanity, she does not buy a footstool. If Irene buys a footstool, she also buys a table made of the same wood. Irene does not buy an oak table. Exactly two of the items she buys are made of the same kind of wood as each other. | If Irene buys one item made of rosewood and two items made of maple, then which one of the following pairs could be two of the items she buys? | [
"a rosewood sideboard and an oak footstool",
"an oak hutch and a pine sideboard",
"an oak hutch and a maple table",
"a maple sideboard and a maple vanity",
"a maple hutch and a maple table"
] | 2 |
Zeno's Unfinished Furniture sells exactly five types of furniture—footstools, hutches, sideboards, tables, and vanities. Irene buys just four items, each of a different type, and each made entirely of one kind of wood—maple, oak, pine, or rosewood. The following conditions govern Irene's purchases: Any vanity she buys is maple. Any rosewood item she buys is a sideboard. If she buys a vanity, she does not buy a footstool. If Irene buys a footstool, she also buys a table made of the same wood. Irene does not buy an oak table. Exactly two of the items she buys are made of the same kind of wood as each other. | Which one of the following is a complete and accurate list of all the woods any footstool that Irene buys could be made of? | [
"maple, oak",
"maple, pine",
"maple, rosewood",
"maple, oak, pine",
"maple, oak, pine, rosewood"
] | 1 |
Zeno's Unfinished Furniture sells exactly five types of furniture—footstools, hutches, sideboards, tables, and vanities. Irene buys just four items, each of a different type, and each made entirely of one kind of wood—maple, oak, pine, or rosewood. The following conditions govern Irene's purchases: Any vanity she buys is maple. Any rosewood item she buys is a sideboard. If she buys a vanity, she does not buy a footstool. If Irene buys a footstool, she also buys a table made of the same wood. Irene does not buy an oak table. Exactly two of the items she buys are made of the same kind of wood as each other. | Suppose Irene buys a footstool. Then which one of the following is a complete and accurate list of items any one of which she could buy in maple? | [
"footstool, hutch, sideboard, table, vanity",
"footstool, hutch, sideboard, table",
"footstool, hutch, sideboard",
"footstool, hutch",
"footstool"
] | 1 |
Zeno's Unfinished Furniture sells exactly five types of furniture—footstools, hutches, sideboards, tables, and vanities. Irene buys just four items, each of a different type, and each made entirely of one kind of wood—maple, oak, pine, or rosewood. The following conditions govern Irene's purchases: Any vanity she buys is maple. Any rosewood item she buys is a sideboard. If she buys a vanity, she does not buy a footstool. If Irene buys a footstool, she also buys a table made of the same wood. Irene does not buy an oak table. Exactly two of the items she buys are made of the same kind of wood as each other. | Which one of the following CANNOT be the two items Irene buys that are made of the same wood as each other? | [
"footstool, hutch",
"hutch, sideboard",
"hutch, table",
"sideboard, vanity",
"table, vanity"
] | 0 |
Zeno's Unfinished Furniture sells exactly five types of furniture—footstools, hutches, sideboards, tables, and vanities. Irene buys just four items, each of a different type, and each made entirely of one kind of wood—maple, oak, pine, or rosewood. The following conditions govern Irene's purchases: Any vanity she buys is maple. Any rosewood item she buys is a sideboard. If she buys a vanity, she does not buy a footstool. If Irene buys a footstool, she also buys a table made of the same wood. Irene does not buy an oak table. Exactly two of the items she buys are made of the same kind of wood as each other. | If Irene does not buy an item made of maple, then each of the following must be true EXCEPT: | [
"Irene buys a footstool.",
"Irene buys a pine hutch.",
"Irene buys a rosewood sideboard.",
"Irene buys exactly one item made of oak.",
"Irene buys exactly two items made of pine."
] | 1 |
Six racehorses—K, L, M, N, O, and P—will be assigned to six positions arranged in a straight line and numbered consecutively 1 through 6. The horses are assigned to the positions, one horse per position, according to the following conditions: K and L must be assigned to positions that are separated from each other by exactly one position. K and N cannot be assigned to positions that are next to each other. N must be assigned to a higher-numbered position than M. P must be assigned to position 3. | Which one of the following lists an acceptable assignment of horses to positions 1 though 6, respectively? | [
"K, L, P, M, N, O",
"M, K, P, L, N, O",
"M, N, K, P, L, O",
"N, O, P, K, M, L",
"O, M, P, L, N, K"
] | 1 |
Six racehorses—K, L, M, N, O, and P—will be assigned to six positions arranged in a straight line and numbered consecutively 1 through 6. The horses are assigned to the positions, one horse per position, according to the following conditions: K and L must be assigned to positions that are separated from each other by exactly one position. K and N cannot be assigned to positions that are next to each other. N must be assigned to a higher-numbered position than M. P must be assigned to position 3. | Which one of the following is a complete and accurate list of the positions any one of which can be the position to which K is assigned? | [
"1, 2",
"2, 3",
"2, 4",
"2, 4, 5",
"2, 4, 6"
] | 4 |
Six racehorses—K, L, M, N, O, and P—will be assigned to six positions arranged in a straight line and numbered consecutively 1 through 6. The horses are assigned to the positions, one horse per position, according to the following conditions: K and L must be assigned to positions that are separated from each other by exactly one position. K and N cannot be assigned to positions that are next to each other. N must be assigned to a higher-numbered position than M. P must be assigned to position 3. | Which one of the following CANNOT be true? | [
"K is assigned to position 2.",
"L is assigned to position 2.",
"M is assigned to position 1.",
"M is assigned to position 5.",
"O is assigned to position 2."
] | 4 |
Six racehorses—K, L, M, N, O, and P—will be assigned to six positions arranged in a straight line and numbered consecutively 1 through 6. The horses are assigned to the positions, one horse per position, according to the following conditions: K and L must be assigned to positions that are separated from each other by exactly one position. K and N cannot be assigned to positions that are next to each other. N must be assigned to a higher-numbered position than M. P must be assigned to position 3. | Which one of the following must be true? | [
"Either K or else L is assigned to position 2.",
"Either K or else L is assigned to position 4.",
"Either M or else N is assigned to position 2.",
"Either M or else N is assigned to position 5.",
"Either M or else O is assigned to position 6."
] | 1 |
Six racehorses—K, L, M, N, O, and P—will be assigned to six positions arranged in a straight line and numbered consecutively 1 through 6. The horses are assigned to the positions, one horse per position, according to the following conditions: K and L must be assigned to positions that are separated from each other by exactly one position. K and N cannot be assigned to positions that are next to each other. N must be assigned to a higher-numbered position than M. P must be assigned to position 3. | Which one of the following CANNOT be true? | [
"L and N are assigned to positions that are next to each other.",
"M and K are assigned to positions that are next to each other.",
"M and O are assigned to positions that are next to each other.",
"L and N are assigned to positions that are separated from each other by exactly one position.",
"M and P are assigned to positions that are separated from each other by exactly one position."
] | 2 |
To prepare for fieldwork, exactly four different researchers—a geologist, a historian, a linguist, and a paleontologist—will learn at least one and at most three of four languages—Rundi, Swahili, Tigrinya, and Yoruba. They must learn the languages according to the following specifications: Exactly one researcher learns Rundi. Exactly two researchers learn Swahili. Exactly two researchers learn Tigrinya. Exactly three researchers learn Yoruba. Any language learned by the linguist or paleontologist is not learned by the geologist. Any language learned by the geologist is learned by the historian. | Which one of the following could be true? | [
"The linguist learns three languages—Rundi, Swahili, and Tigrinya.",
"The linguist learns three languages—Swahili, Tigrinya, and Yoruba.",
"The historian learns three languages—Rundi, Swahili, and Tigrinya.",
"The historian learns three languages—Swahili, Tigrinya, and Yoruba.",
"The paleontologist learns three languages—Rundi, Swahili, and Tigrinya."
] | 3 |
To prepare for fieldwork, exactly four different researchers—a geologist, a historian, a linguist, and a paleontologist—will learn at least one and at most three of four languages—Rundi, Swahili, Tigrinya, and Yoruba. They must learn the languages according to the following specifications: Exactly one researcher learns Rundi. Exactly two researchers learn Swahili. Exactly two researchers learn Tigrinya. Exactly three researchers learn Yoruba. Any language learned by the linguist or paleontologist is not learned by the geologist. Any language learned by the geologist is learned by the historian. | If the linguist learns three of the languages, then which one of the following must be true? | [
"The linguist learns Tigrinya.",
"The linguist learns Rundi.",
"The linguist learns Swahili.",
"The paleontologist learns Rundi.",
"The paleontologist learns Swahili."
] | 1 |
To prepare for fieldwork, exactly four different researchers—a geologist, a historian, a linguist, and a paleontologist—will learn at least one and at most three of four languages—Rundi, Swahili, Tigrinya, and Yoruba. They must learn the languages according to the following specifications: Exactly one researcher learns Rundi. Exactly two researchers learn Swahili. Exactly two researchers learn Tigrinya. Exactly three researchers learn Yoruba. Any language learned by the linguist or paleontologist is not learned by the geologist. Any language learned by the geologist is learned by the historian. | Each of the following could be true of the researcher who learns Rundi EXCEPT: | [
"The researcher also learns Tigrinya but not Swahili.",
"The researcher learns neither Tigrinya nor Swahili.",
"The researcher also learns Tigrinya but not Yoruba.",
"The researcher also learns both Tigrinya and Yoruba.",
"The researcher also learns Yoruba but not Tigrinya."
] | 2 |
To prepare for fieldwork, exactly four different researchers—a geologist, a historian, a linguist, and a paleontologist—will learn at least one and at most three of four languages—Rundi, Swahili, Tigrinya, and Yoruba. They must learn the languages according to the following specifications: Exactly one researcher learns Rundi. Exactly two researchers learn Swahili. Exactly two researchers learn Tigrinya. Exactly three researchers learn Yoruba. Any language learned by the linguist or paleontologist is not learned by the geologist. Any language learned by the geologist is learned by the historian. | Each of the following could be a complete and accurate list of the researchers who learn both Swahili and Yoruba EXCEPT: | [
"the historian",
"the paleontologist",
"the historian, the linguist",
"the historian, the paleontologist",
"the linguist, the paleontologist"
] | 1 |
To prepare for fieldwork, exactly four different researchers—a geologist, a historian, a linguist, and a paleontologist—will learn at least one and at most three of four languages—Rundi, Swahili, Tigrinya, and Yoruba. They must learn the languages according to the following specifications: Exactly one researcher learns Rundi. Exactly two researchers learn Swahili. Exactly two researchers learn Tigrinya. Exactly three researchers learn Yoruba. Any language learned by the linguist or paleontologist is not learned by the geologist. Any language learned by the geologist is learned by the historian. | If the geologist learns exactly two of the languages, then which one of the following could be true? | [
"The paleontologist learns Rundi.",
"The paleontologist learns Swahili.",
"The historian learns Rundi.",
"The paleontologist learns exactly three of the languages.",
"The historian learns exactly two of the languages."
] | 0 |
To prepare for fieldwork, exactly four different researchers—a geologist, a historian, a linguist, and a paleontologist—will learn at least one and at most three of four languages—Rundi, Swahili, Tigrinya, and Yoruba. They must learn the languages according to the following specifications: Exactly one researcher learns Rundi. Exactly two researchers learn Swahili. Exactly two researchers learn Tigrinya. Exactly three researchers learn Yoruba. Any language learned by the linguist or paleontologist is not learned by the geologist. Any language learned by the geologist is learned by the historian. | Which one of the following must be true? | [
"Fewer of the languages are learned by the historian than are learned by the paleontologist.",
"Fewer of the languages are learned by the geologist than are learned by the historian.",
"Fewer of the languages are learned by the geologist than are learned by the linguist.",
"Fewer of the languages are learned by the paleontologist than are learned by the linguist.",
"Fewer of the languages are learned by the paleontologist than are learned by the historian."
] | 1 |
To prepare for fieldwork, exactly four different researchers—a geologist, a historian, a linguist, and a paleontologist—will learn at least one and at most three of four languages—Rundi, Swahili, Tigrinya, and Yoruba. They must learn the languages according to the following specifications: Exactly one researcher learns Rundi. Exactly two researchers learn Swahili. Exactly two researchers learn Tigrinya. Exactly three researchers learn Yoruba. Any language learned by the linguist or paleontologist is not learned by the geologist. Any language learned by the geologist is learned by the historian. | If exactly two of the languages are learned by the historian, then which one of the following must be true? | [
"The paleontologist does not learn Rundi.",
"The geologist does not learn Swahili.",
"The linguist does not learn Rundi.",
"The historian does not learn Rundi.",
"The paleontologist does not learn Swahili."
] | 3 |
During three days—Monday through Wednesday—a health officer will inspect exactly six buildings—three hotels: Grace, Jacaranda, and Lido; and three restaurants: Seville, Vesuvio, and Zeno. Each day, exactly two buildings are inspected: one in the morning and one in the afternoon. Inspections must occur according to the following conditions: Hotels are not inspected on Wednesday. Grace is inspected at some time before Jacaranda. Grace is not inspected on the same day as Seville. If Zeno is inspected in the morning, Lido is also inspected in the morning. | Which one of the following could be the order in which the buildings are inspected, listed in order from Monday morning through Wednesday afternoon? | [
"Grace, Seville, Jacaranda, Lido, Vesuvio, Zeno",
"Grace, Vesuvio, Zeno, Jacaranda, Lido, Seville",
"Lido, Jacaranda, Grace, Vesuvio, Zeno, Seville",
"Lido, Seville, Grace, Jacaranda, Zeno, Vesuvio",
"Zeno, Grace, Jacaranda, Lido, Seville, Vesuvio"
] | 3 |
During three days—Monday through Wednesday—a health officer will inspect exactly six buildings—three hotels: Grace, Jacaranda, and Lido; and three restaurants: Seville, Vesuvio, and Zeno. Each day, exactly two buildings are inspected: one in the morning and one in the afternoon. Inspections must occur according to the following conditions: Hotels are not inspected on Wednesday. Grace is inspected at some time before Jacaranda. Grace is not inspected on the same day as Seville. If Zeno is inspected in the morning, Lido is also inspected in the morning. | Which one of the following could be the buildings inspected in the mornings, listed in order from Monday through Wednesday? | [
"Grace, Jacaranda, Zeno",
"Jacaranda, Vesuvio, Seville",
"Lido, Jacaranda, Vesuvio",
"Seville, Jacaranda, Vesuvio",
"Seville, Lido, Zeno"
] | 2 |
During three days—Monday through Wednesday—a health officer will inspect exactly six buildings—three hotels: Grace, Jacaranda, and Lido; and three restaurants: Seville, Vesuvio, and Zeno. Each day, exactly two buildings are inspected: one in the morning and one in the afternoon. Inspections must occur according to the following conditions: Hotels are not inspected on Wednesday. Grace is inspected at some time before Jacaranda. Grace is not inspected on the same day as Seville. If Zeno is inspected in the morning, Lido is also inspected in the morning. | Which one of the following is a pair of buildings that, if inspected on the same day as each other, must be inspected on Monday? | [
"Grace and Jacaranda",
"Grace and Vesuvio",
"Jacaranda and Lido",
"Lido and Seville",
"Lido and Vesuvio"
] | 1 |
During three days—Monday through Wednesday—a health officer will inspect exactly six buildings—three hotels: Grace, Jacaranda, and Lido; and three restaurants: Seville, Vesuvio, and Zeno. Each day, exactly two buildings are inspected: one in the morning and one in the afternoon. Inspections must occur according to the following conditions: Hotels are not inspected on Wednesday. Grace is inspected at some time before Jacaranda. Grace is not inspected on the same day as Seville. If Zeno is inspected in the morning, Lido is also inspected in the morning. | If Grace is inspected on Tuesday, which one of the following could be the buildings inspected in the afternoons, listed in order from Monday through Wednesday? | [
"Lido, Jacaranda, Vesuvio",
"Lido, Jacaranda, Zeno",
"Lido, Vesuvio, Zeno",
"Seville, Grace, Vesuvio",
"Seville, Jacaranda, Lido"
] | 1 |
During three days—Monday through Wednesday—a health officer will inspect exactly six buildings—three hotels: Grace, Jacaranda, and Lido; and three restaurants: Seville, Vesuvio, and Zeno. Each day, exactly two buildings are inspected: one in the morning and one in the afternoon. Inspections must occur according to the following conditions: Hotels are not inspected on Wednesday. Grace is inspected at some time before Jacaranda. Grace is not inspected on the same day as Seville. If Zeno is inspected in the morning, Lido is also inspected in the morning. | If Seville is inspected on Monday morning, which one of the following must be true? | [
"Grace is inspected on Tuesday afternoon.",
"Jacaranda is inspected on Monday afternoon.",
"Lido is inspected on Tuesday morning.",
"Vesuvio is inspected on Wednesday morning.",
"Zeno is inspected on Wednesday morning."
] | 3 |
During three days—Monday through Wednesday—a health officer will inspect exactly six buildings—three hotels: Grace, Jacaranda, and Lido; and three restaurants: Seville, Vesuvio, and Zeno. Each day, exactly two buildings are inspected: one in the morning and one in the afternoon. Inspections must occur according to the following conditions: Hotels are not inspected on Wednesday. Grace is inspected at some time before Jacaranda. Grace is not inspected on the same day as Seville. If Zeno is inspected in the morning, Lido is also inspected in the morning. | If Grace is inspected on Monday morning and Zeno is inspected on Wednesday morning, which one of the following must be true? | [
"Jacaranda is inspected before Lido is inspected.",
"Jacaranda is inspected after Lido is inspected.",
"Jacaranda is inspected after Seville is inspected.",
"Lido is inspected before Seville is inspected.",
"Lido is inspected before Vesuvio is inspected."
] | 3 |
Morrisville's town council has exactly three members: Fu, Gianola, and Herstein. During one week, the council members vote on exactly three bills: a recreation bill, a school bill, and a tax bill. Each council member votes either for or against each bill. The following is known: Each member of the council votes for at least one of the bills and against at least one of the bills. Exactly two members of the council vote for the recreation bill. Exactly one member of the council votes for the school bill. Exactly one member of the council votes for the tax bill. Fu votes for the recreation bill and against the school bill. Gianola votes against the recreation bill. Herstein votes against the tax bill. | Which one of the following statements could be true? | [
"Fu and Gianola vote the same way on the tax bill.",
"Gianola and Herstein vote the same way on the recreation bill.",
"Gianola and Herstein vote the same way on the school bill.",
"Fu votes for one of the bills and Gianola votes for two of the bills.",
"Fu votes for two of the bills and Gianola votes for two of the bills."
] | 3 |
Morrisville's town council has exactly three members: Fu, Gianola, and Herstein. During one week, the council members vote on exactly three bills: a recreation bill, a school bill, and a tax bill. Each council member votes either for or against each bill. The following is known: Each member of the council votes for at least one of the bills and against at least one of the bills. Exactly two members of the council vote for the recreation bill. Exactly one member of the council votes for the school bill. Exactly one member of the council votes for the tax bill. Fu votes for the recreation bill and against the school bill. Gianola votes against the recreation bill. Herstein votes against the tax bill. | If the set of members of the council who vote against the school bill is the same set of members who vote against the tax bill, then which one of the following statements must be true? | [
"Fu votes for the tax bill.",
"Gianola votes for the recreation bill.",
"Gianola votes against the school bill.",
"Herstein votes against the recreation bill.",
"Herstein votes against the school bill."
] | 4 |
Morrisville's town council has exactly three members: Fu, Gianola, and Herstein. During one week, the council members vote on exactly three bills: a recreation bill, a school bill, and a tax bill. Each council member votes either for or against each bill. The following is known: Each member of the council votes for at least one of the bills and against at least one of the bills. Exactly two members of the council vote for the recreation bill. Exactly one member of the council votes for the school bill. Exactly one member of the council votes for the tax bill. Fu votes for the recreation bill and against the school bill. Gianola votes against the recreation bill. Herstein votes against the tax bill. | If Gianola votes for the tax bill, then which one of the following statements could be true? | [
"Fu and Gianola each vote for exactly one bill.",
"Gianola and Herstein each vote for exactly one bill.",
"Fu votes for exactly two bills.",
"Gianola votes for the recreation bill.",
"Herstein votes against the recreation bill."
] | 0 |
Morrisville's town council has exactly three members: Fu, Gianola, and Herstein. During one week, the council members vote on exactly three bills: a recreation bill, a school bill, and a tax bill. Each council member votes either for or against each bill. The following is known: Each member of the council votes for at least one of the bills and against at least one of the bills. Exactly two members of the council vote for the recreation bill. Exactly one member of the council votes for the school bill. Exactly one member of the council votes for the tax bill. Fu votes for the recreation bill and against the school bill. Gianola votes against the recreation bill. Herstein votes against the tax bill. | If Gianola votes for exactly two of the three bills, which one of the following statements must be true? | [
"Fu votes for the tax bill.",
"Gianola votes for the recreation bill.",
"Gianola votes for the school bill.",
"Gianola votes against the tax bill.",
"Herstein votes for the school bill."
] | 2 |
Morrisville's town council has exactly three members: Fu, Gianola, and Herstein. During one week, the council members vote on exactly three bills: a recreation bill, a school bill, and a tax bill. Each council member votes either for or against each bill. The following is known: Each member of the council votes for at least one of the bills and against at least one of the bills. Exactly two members of the council vote for the recreation bill. Exactly one member of the council votes for the school bill. Exactly one member of the council votes for the tax bill. Fu votes for the recreation bill and against the school bill. Gianola votes against the recreation bill. Herstein votes against the tax bill. | If one of the members of the council votes against exactly the same bills as does another member of the council, then which one of the following statements must be true? | [
"Fu votes for the tax bill.",
"Gianola votes for the recreation bill.",
"Gianola votes against the school bill.",
"Gianola votes for exactly one bill",
"Herstein votes for exactly one bill."
] | 4 |
On a Tuesday, an accountant has exactly seven bills—numbered 1 through 7—to pay by Thursday of the same week. The accountant will pay each bill only once according to the following rules: Either three or four of the seven bills must be paid on Wednesday, the rest on Thursday. Bill 1 cannot be paid on the same day as bill 5. Bill 2 must be paid on Thursday. Bill 4 must be paid on the same day as bill 7. If bill 6 is paid on Wednesday, bill 7 must be paid on Thursday. | If exactly four bills are paid on Wednesday, then those four bills could be | [
"1, 3, 4, and 6",
"1, 3, 5, and 6",
"2, 4, 5, and 7",
"3, 4, 5, and 7",
"3, 4, 6, and 7"
] | 3 |
On a Tuesday, an accountant has exactly seven bills—numbered 1 through 7—to pay by Thursday of the same week. The accountant will pay each bill only once according to the following rules: Either three or four of the seven bills must be paid on Wednesday, the rest on Thursday. Bill 1 cannot be paid on the same day as bill 5. Bill 2 must be paid on Thursday. Bill 4 must be paid on the same day as bill 7. If bill 6 is paid on Wednesday, bill 7 must be paid on Thursday. | Which one of the following is a complete and accurate list of the bills any one of which could be among the bills paid on Wednesday? | [
"3, 5, and 6",
"1, 3, 4, 6, and 7",
"1, 3, 4, 5, 6, and 7",
"2, 3, 4, 5, 6, and 7",
"1, 2, 3, 4, 5, 6, and 7"
] | 2 |
On a Tuesday, an accountant has exactly seven bills—numbered 1 through 7—to pay by Thursday of the same week. The accountant will pay each bill only once according to the following rules: Either three or four of the seven bills must be paid on Wednesday, the rest on Thursday. Bill 1 cannot be paid on the same day as bill 5. Bill 2 must be paid on Thursday. Bill 4 must be paid on the same day as bill 7. If bill 6 is paid on Wednesday, bill 7 must be paid on Thursday. | If bill 2 and bill 6 are paid on different days from each other, which one of the following must be true? | [
"Exactly three bills are paid on Wednesday.",
"Exactly three bills are paid on Thursday.",
"Bill 1 is paid on the same day as bill 4.",
"Bill 2 is paid on the same day as bill 3.",
"Bill 5 is paid on the same day as bill 7."
] | 0 |
On a Tuesday, an accountant has exactly seven bills—numbered 1 through 7—to pay by Thursday of the same week. The accountant will pay each bill only once according to the following rules: Either three or four of the seven bills must be paid on Wednesday, the rest on Thursday. Bill 1 cannot be paid on the same day as bill 5. Bill 2 must be paid on Thursday. Bill 4 must be paid on the same day as bill 7. If bill 6 is paid on Wednesday, bill 7 must be paid on Thursday. | If bill 6 is paid on Wednesday, which one of the following bills must also be paid on Wednesday? | [
"1",
"3",
"4",
"5",
"7"
] | 1 |
On a Tuesday, an accountant has exactly seven bills—numbered 1 through 7—to pay by Thursday of the same week. The accountant will pay each bill only once according to the following rules: Either three or four of the seven bills must be paid on Wednesday, the rest on Thursday. Bill 1 cannot be paid on the same day as bill 5. Bill 2 must be paid on Thursday. Bill 4 must be paid on the same day as bill 7. If bill 6 is paid on Wednesday, bill 7 must be paid on Thursday. | If bill 4 is paid on Thursday, which one of the following is a pair of bills that could also be paid on Thursday? | [
"1 and 5",
"1 and 7",
"3 and 5",
"3 and 6",
"6 and 7"
] | 1 |
On a Tuesday, an accountant has exactly seven bills—numbered 1 through 7—to pay by Thursday of the same week. The accountant will pay each bill only once according to the following rules: Either three or four of the seven bills must be paid on Wednesday, the rest on Thursday. Bill 1 cannot be paid on the same day as bill 5. Bill 2 must be paid on Thursday. Bill 4 must be paid on the same day as bill 7. If bill 6 is paid on Wednesday, bill 7 must be paid on Thursday. | Which one of the following statements must be true? | [
"If bill 2 is paid on Thursday, bill 3 is paid on Wednesday.",
"If bill 4 is paid on Thursday, bill 1 is paid on Wednesday.",
"If bill 4 is paid on Thursday, bill 3 is paid on Wednesday.",
"If bill 6 is paid on Thursday, bill 3 is also paid on Thursday.",
"If bill 6 is paid on Thursday, bill 4 is also paid on Thursday."
] | 2 |
Two mannequins—1 and 2—will be dressed for display in outfits chosen from ten articles of clothing. Each article is in exactly one of three colors: navy, red, or yellow. There are three hats—one in each color; three jackets—one in each color; three skirts—one in each color; and one red tie. Each mannequin wears exactly one of the hats, one of the jackets, and one of the skirts. Furthermore, their outfits must meet the following restrictions: Neither mannequin wears all three colors. Each mannequin wears a hat in a different color from the jacket it wears. Mannequin 2 wears the navy skirt. Mannequin 1 wears the tie. | Which one of the following could be complete outfits for the two mannequins? | [
"mannequin 1: navy hat, red jacket, yellow skirt, red tie mannequin 2: red hat, navy jacket, navy skirt",
"mannequin 1: red hat, red jacket, yellow skirt, red tie mannequin 2: yellow hat, navy jacket, navy skirt",
"mannequin 1: red hat, yellow jacket, red skirt, red tie mannequin 2: yellow hat, navy jacket, yellow skirt",
"mannequin 1: yellow hat, red jacket, yellow skirt, red tie mannequin 2: red hat, navy jacket, navy skirt",
"mannequin 1: yellow hat, yellow jacket, red skirt mannequin 2: red hat, navy jacket, navy skirt"
] | 3 |
Two mannequins—1 and 2—will be dressed for display in outfits chosen from ten articles of clothing. Each article is in exactly one of three colors: navy, red, or yellow. There are three hats—one in each color; three jackets—one in each color; three skirts—one in each color; and one red tie. Each mannequin wears exactly one of the hats, one of the jackets, and one of the skirts. Furthermore, their outfits must meet the following restrictions: Neither mannequin wears all three colors. Each mannequin wears a hat in a different color from the jacket it wears. Mannequin 2 wears the navy skirt. Mannequin 1 wears the tie. | Which one of the following could be true of the mannequins' outfits? | [
"Mannequin 1 wears the navy jacket and the yellow skirt.",
"Mannequin 2 wears the red hat and the red jacket.",
"Mannequin 1 wears exactly one red article of clothing.",
"Mannequin 1 wears exactly three yellow articles of clothing.",
"Mannequin 2 wears no red articles of clothing."
] | 4 |
Two mannequins—1 and 2—will be dressed for display in outfits chosen from ten articles of clothing. Each article is in exactly one of three colors: navy, red, or yellow. There are three hats—one in each color; three jackets—one in each color; three skirts—one in each color; and one red tie. Each mannequin wears exactly one of the hats, one of the jackets, and one of the skirts. Furthermore, their outfits must meet the following restrictions: Neither mannequin wears all three colors. Each mannequin wears a hat in a different color from the jacket it wears. Mannequin 2 wears the navy skirt. Mannequin 1 wears the tie. | If mannequin 1 wears the navy jacket, which one of the following could be true? | [
"Mannequin 1 wears the yellow hat.",
"Mannequin 1 wears the yellow skirt.",
"Mannequin 2 wears the red hat.",
"Mannequin 2 wears the yellow hat.",
"Mannequin 2 wears the yellow jacket."
] | 4 |
Two mannequins—1 and 2—will be dressed for display in outfits chosen from ten articles of clothing. Each article is in exactly one of three colors: navy, red, or yellow. There are three hats—one in each color; three jackets—one in each color; three skirts—one in each color; and one red tie. Each mannequin wears exactly one of the hats, one of the jackets, and one of the skirts. Furthermore, their outfits must meet the following restrictions: Neither mannequin wears all three colors. Each mannequin wears a hat in a different color from the jacket it wears. Mannequin 2 wears the navy skirt. Mannequin 1 wears the tie. | If all four of the red articles of clothing are included in the two mannequins' outfits, which one of the following must be true? | [
"Mannequin 1 wears the red hat.",
"Mannequin 1 wears the yellow jacket.",
"Mannequin 2 wears the navy jacket.",
"Mannequin 1 wears no navy articles of clothing.",
"Mannequin 2 wears no yellow articles of clothing."
] | 4 |
Two mannequins—1 and 2—will be dressed for display in outfits chosen from ten articles of clothing. Each article is in exactly one of three colors: navy, red, or yellow. There are three hats—one in each color; three jackets—one in each color; three skirts—one in each color; and one red tie. Each mannequin wears exactly one of the hats, one of the jackets, and one of the skirts. Furthermore, their outfits must meet the following restrictions: Neither mannequin wears all three colors. Each mannequin wears a hat in a different color from the jacket it wears. Mannequin 2 wears the navy skirt. Mannequin 1 wears the tie. | If mannequin 2 wears the red jacket, then mannequin 1 must wear the | [
"navy hat",
"red hat",
"yellow hat",
"red skirt",
"yellow skirt"
] | 1 |
Two mannequins—1 and 2—will be dressed for display in outfits chosen from ten articles of clothing. Each article is in exactly one of three colors: navy, red, or yellow. There are three hats—one in each color; three jackets—one in each color; three skirts—one in each color; and one red tie. Each mannequin wears exactly one of the hats, one of the jackets, and one of the skirts. Furthermore, their outfits must meet the following restrictions: Neither mannequin wears all three colors. Each mannequin wears a hat in a different color from the jacket it wears. Mannequin 2 wears the navy skirt. Mannequin 1 wears the tie. | If all three of the yellow articles of clothing are included in the two mannequins' outfits, which one of the following could be true? | [
"Mannequin 1 wears the navy jacket.",
"Mannequin 1 wears the yellow jacket.",
"Mannequin 1 wears the red skirt.",
"Mannequin 2 wears the red hat.",
"Mannequin 2 wears the red jacket."
] | 1 |
Two mannequins—1 and 2—will be dressed for display in outfits chosen from ten articles of clothing. Each article is in exactly one of three colors: navy, red, or yellow. There are three hats—one in each color; three jackets—one in each color; three skirts—one in each color; and one red tie. Each mannequin wears exactly one of the hats, one of the jackets, and one of the skirts. Furthermore, their outfits must meet the following restrictions: Neither mannequin wears all three colors. Each mannequin wears a hat in a different color from the jacket it wears. Mannequin 2 wears the navy skirt. Mannequin 1 wears the tie. | If mannequin 1 wears the skirt that is the same color as the jacket that mannequin 2 wears, which one of the following must be true? | [
"Mannequin 1 wears the yellow hat.",
"Mannequin 1 wears the yellow jacket.",
"Mannequin 2 wears the navy hat.",
"Mannequin 2 wears the red hat.",
"Mannequin 2 wears the red jacket."
] | 2 |
A college dean will present seven awards for outstanding language research. The awards—one for French, one for German, one for Hebrew, one for Japanese, one for Korean, one for Latin, and one for Swahili—must be presented consecutively, one at a time, in conformity with the following constraints: The German award is not presented first. The Hebrew award is presented at some time before the Korean award is presented. The Latin award is presented at some time before the Japanese award is presented. The French award is presented either immediately before or immediately after the Hebrew award is presented. The Korean award is presented either immediately before or immediately after the Latin award is presented. | Which one of the following must be true? | [
"The French award is presented at some time before the Japanese award is presented.",
"The French award is presented at some time before the Swahili award is presented.",
"The German award is presented at some time before the Korean award is presented.",
"The German award is presented at some time before the Swahili award is presented.",
"The Swahili award is presented at some time before the Hebrew award is presented."
] | 0 |
A college dean will present seven awards for outstanding language research. The awards—one for French, one for German, one for Hebrew, one for Japanese, one for Korean, one for Latin, and one for Swahili—must be presented consecutively, one at a time, in conformity with the following constraints: The German award is not presented first. The Hebrew award is presented at some time before the Korean award is presented. The Latin award is presented at some time before the Japanese award is presented. The French award is presented either immediately before or immediately after the Hebrew award is presented. The Korean award is presented either immediately before or immediately after the Latin award is presented. | If the Hebrew award is presented fourth, which one of the following must be true? | [
"The French award is presented fifth.",
"The German award is presented third.",
"The Japanese award is presented sixth.",
"The Korean award is presented fifth.",
"The Swahili award is presented first."
] | 4 |
A college dean will present seven awards for outstanding language research. The awards—one for French, one for German, one for Hebrew, one for Japanese, one for Korean, one for Latin, and one for Swahili—must be presented consecutively, one at a time, in conformity with the following constraints: The German award is not presented first. The Hebrew award is presented at some time before the Korean award is presented. The Latin award is presented at some time before the Japanese award is presented. The French award is presented either immediately before or immediately after the Hebrew award is presented. The Korean award is presented either immediately before or immediately after the Latin award is presented. | If the German award is presented third, which one of the following could be true? | [
"The French award is presented fourth.",
"The Japanese award is presented fifth.",
"The Japanese award is presented sixth.",
"The Korean award is presented second.",
"The Swahili award is presented fifth."
] | 2 |
A college dean will present seven awards for outstanding language research. The awards—one for French, one for German, one for Hebrew, one for Japanese, one for Korean, one for Latin, and one for Swahili—must be presented consecutively, one at a time, in conformity with the following constraints: The German award is not presented first. The Hebrew award is presented at some time before the Korean award is presented. The Latin award is presented at some time before the Japanese award is presented. The French award is presented either immediately before or immediately after the Hebrew award is presented. The Korean award is presented either immediately before or immediately after the Latin award is presented. | The earliest that the Japanese award could be presented is | [
"third",
"fourth",
"fifth",
"sixth",
"seventh"
] | 2 |
A college dean will present seven awards for outstanding language research. The awards—one for French, one for German, one for Hebrew, one for Japanese, one for Korean, one for Latin, and one for Swahili—must be presented consecutively, one at a time, in conformity with the following constraints: The German award is not presented first. The Hebrew award is presented at some time before the Korean award is presented. The Latin award is presented at some time before the Japanese award is presented. The French award is presented either immediately before or immediately after the Hebrew award is presented. The Korean award is presented either immediately before or immediately after the Latin award is presented. | If the Japanese award is presented at some time before the Swahili award is presented, any of the following could be true EXCEPT: | [
"The German award is presented immediately before the French award is presented.",
"The German award is presented immediately before the Japanese award is presented.",
"The Hebrew award is presented immediately before the Latin award is presented.",
"The Korean award is presented immediately before the Japanese award is presented.",
"The Swahili award is presented immediately before the German award is presented."
] | 0 |
A college dean will present seven awards for outstanding language research. The awards—one for French, one for German, one for Hebrew, one for Japanese, one for Korean, one for Latin, and one for Swahili—must be presented consecutively, one at a time, in conformity with the following constraints: The German award is not presented first. The Hebrew award is presented at some time before the Korean award is presented. The Latin award is presented at some time before the Japanese award is presented. The French award is presented either immediately before or immediately after the Hebrew award is presented. The Korean award is presented either immediately before or immediately after the Latin award is presented. | The order in which the awards are presented is completely determined if which one of the following is true? | [
"The French award is presented immediately before the German award is presented, and the Korean award is presented immediately before the Latin award is presented.",
"The French award is presented immediately before the Hebrew award is presented, and the Hebrew award is presented immediately before the Korean award is presented.",
"The French award is presented immediately before the Latin award is presented, and the Korean award is presented immediately before the Japanese award is presented.",
"The German award is presented immediately before the French award is presented, and the Latin award is presented immediately before the Japanese award is presented.",
"The German award is presented immediately before the Korean award is presented, and the Hebrew award is presented immediately before the French award is presented."
] | 3 |
Exactly six piano classes are given sequentially on Monday: two with more than one student and four with exactly one student. Exactly four females—Gimena, Holly, Iyanna, and Kate—and five males—Leung, Nate, Oscar, Pedro, and Saul—attend these classes. Each student attends exactly one class. The following must obtain: Iyanna and Leung together constitute one class. Pedro and exactly two others together constitute one class. Kate is the first female, but not the first student, to attend a class. Gimena's class is at some time after Iyanna's but at sometime before Pedro's. Oscar's class is at some time after Gimena's. | Which one of the following students could attend the first class? | [
"Holly",
"Leung",
"Oscar",
"Pedro",
"Saul"
] | 4 |
Exactly six piano classes are given sequentially on Monday: two with more than one student and four with exactly one student. Exactly four females—Gimena, Holly, Iyanna, and Kate—and five males—Leung, Nate, Oscar, Pedro, and Saul—attend these classes. Each student attends exactly one class. The following must obtain: Iyanna and Leung together constitute one class. Pedro and exactly two others together constitute one class. Kate is the first female, but not the first student, to attend a class. Gimena's class is at some time after Iyanna's but at sometime before Pedro's. Oscar's class is at some time after Gimena's. | Which one of the following is a complete and accurate list of classes any one of which could be the class Gimena attends? | [
"the fourth, the fifth",
"the fourth, the sixth",
"the second, the fourth, the fifth",
"the third, the fifth, the sixth",
"the second, the third, the fourth"
] | 0 |
Exactly six piano classes are given sequentially on Monday: two with more than one student and four with exactly one student. Exactly four females—Gimena, Holly, Iyanna, and Kate—and five males—Leung, Nate, Oscar, Pedro, and Saul—attend these classes. Each student attends exactly one class. The following must obtain: Iyanna and Leung together constitute one class. Pedro and exactly two others together constitute one class. Kate is the first female, but not the first student, to attend a class. Gimena's class is at some time after Iyanna's but at sometime before Pedro's. Oscar's class is at some time after Gimena's. | Which one of the following pairs of students could be in the class with Pedro? | [
"Gimena and Holly",
"Holly and Saul",
"Kate and Nate",
"Leung and Oscar",
"Nate and Saul"
] | 1 |
Exactly six piano classes are given sequentially on Monday: two with more than one student and four with exactly one student. Exactly four females—Gimena, Holly, Iyanna, and Kate—and five males—Leung, Nate, Oscar, Pedro, and Saul—attend these classes. Each student attends exactly one class. The following must obtain: Iyanna and Leung together constitute one class. Pedro and exactly two others together constitute one class. Kate is the first female, but not the first student, to attend a class. Gimena's class is at some time after Iyanna's but at sometime before Pedro's. Oscar's class is at some time after Gimena's. | If Oscar and Pedro do not attend the same class as each other, then which one of the following could be true? | [
"Gimena attends the fifth class.",
"Holly attends the third class.",
"Iyanna attends the fourth class.",
"Nate attends the fifth class.",
"Saul attends the second class."
] | 3 |
Exactly six piano classes are given sequentially on Monday: two with more than one student and four with exactly one student. Exactly four females—Gimena, Holly, Iyanna, and Kate—and five males—Leung, Nate, Oscar, Pedro, and Saul—attend these classes. Each student attends exactly one class. The following must obtain: Iyanna and Leung together constitute one class. Pedro and exactly two others together constitute one class. Kate is the first female, but not the first student, to attend a class. Gimena's class is at some time after Iyanna's but at sometime before Pedro's. Oscar's class is at some time after Gimena's. | Suppose the condition that Oscar attends a class after Gimena is replaced with the condition that Oscar attends a class before Gimena and after Kate. If all the other conditions remain the same, then which class must Holly attend? | [
"the second",
"the third",
"the fourth",
"the fifth",
"the sixth"
] | 4 |
This morning, a bakery makes exactly one delivery, consisting of exactly six loaves of bread. Each of the loaves is exactly one of three kinds: oatmeal, rye, or wheat, and each is either sliced or unsliced. The loaves that the bakery delivers this morning must be consistent with the following: There are at least two kinds of loaves. There are no more than three rye loaves. There is no unsliced wheat loaf. There is at least one unsliced oatmeal loaf. If two or more of the loaves are unsliced, then at least one of the unsliced loaves is rye. | Which one of the following could be a complete and accurate list of the loaves that the bakery delivers? | [
"six unsliced oatmeal loaves",
"five unsliced oatmeal loaves, one sliced rye loaf",
"five unsliced oatmeal loaves, one unsliced wheat loaf",
"four unsliced oatmeal loaves, two unsliced rye loaves",
"four unsliced oatmeal loaves, two sliced wheat loaves"
] | 3 |
This morning, a bakery makes exactly one delivery, consisting of exactly six loaves of bread. Each of the loaves is exactly one of three kinds: oatmeal, rye, or wheat, and each is either sliced or unsliced. The loaves that the bakery delivers this morning must be consistent with the following: There are at least two kinds of loaves. There are no more than three rye loaves. There is no unsliced wheat loaf. There is at least one unsliced oatmeal loaf. If two or more of the loaves are unsliced, then at least one of the unsliced loaves is rye. | Each of the following could be a complete and accurate list of the unsliced loaves that the bakery delivers EXCEPT: | [
"three oatmeal loaves",
"three oatmeal loaves, one rye loaf",
"two oatmeal loaves, two rye loaves",
"two oatmeal loaves, three rye loaves",
"one oatmeal loaf, one rye loaf"
] | 0 |
This morning, a bakery makes exactly one delivery, consisting of exactly six loaves of bread. Each of the loaves is exactly one of three kinds: oatmeal, rye, or wheat, and each is either sliced or unsliced. The loaves that the bakery delivers this morning must be consistent with the following: There are at least two kinds of loaves. There are no more than three rye loaves. There is no unsliced wheat loaf. There is at least one unsliced oatmeal loaf. If two or more of the loaves are unsliced, then at least one of the unsliced loaves is rye. | Which one of the following statements CANNOT be true? | [
"The only unsliced loaves are oatmeal loaves.",
"The only sliced loaves are rye loaves.",
"The only unsliced loaves are rye loaves.",
"The number of sliced loaves is exactly one greater than the number of sliced oatmeal loaves.",
"The number of unsliced loaves is exactly one greater than the number of unsliced oatmeal loaves."
] | 2 |
This morning, a bakery makes exactly one delivery, consisting of exactly six loaves of bread. Each of the loaves is exactly one of three kinds: oatmeal, rye, or wheat, and each is either sliced or unsliced. The loaves that the bakery delivers this morning must be consistent with the following: There are at least two kinds of loaves. There are no more than three rye loaves. There is no unsliced wheat loaf. There is at least one unsliced oatmeal loaf. If two or more of the loaves are unsliced, then at least one of the unsliced loaves is rye. | Which one of the following statements must be true? | [
"At least one of the loaves is rye.",
"At least one of the loaves is wheat.",
"At least one of the loaves is sliced.",
"No more than four oatmeal loaves are sliced.",
"No more than four wheat loaves are sliced."
] | 3 |
This morning, a bakery makes exactly one delivery, consisting of exactly six loaves of bread. Each of the loaves is exactly one of three kinds: oatmeal, rye, or wheat, and each is either sliced or unsliced. The loaves that the bakery delivers this morning must be consistent with the following: There are at least two kinds of loaves. There are no more than three rye loaves. There is no unsliced wheat loaf. There is at least one unsliced oatmeal loaf. If two or more of the loaves are unsliced, then at least one of the unsliced loaves is rye. | If the bakery delivers exactly four wheat loaves, then the bakery could also deliver | [
"one sliced rye loaf and one unsliced rye loaf",
"one sliced oatmeal loaf and one unsliced oatmeal loaf",
"two unsliced rye loaves",
"two unsliced oatmeal loaves",
"two sliced oatmeal loaves"
] | 1 |
The six messages on an answering machine were each left by one of Fleure, Greta, Hildy, Liam, Pasquale, or Theodore, consistent with the following: At most one person left more than one message. No person left more than three messages. If the first message is Hildy's, the last is Pasquale's. If Greta left any message, Fleure and Pasquale did also. If Fleure left any message, Pasquale and Theodore did also, all of Pasquale's preceding any of Theodore's. If Pasquale left any message, Hildy and Liam did also, all of Hildy's preceding any of Liam's. | Which one of the following could be a complete and accurate list of the messages left on the answering machine, from first to last? | [
"Fleure's, Pasquale's, Theodore's, Hildy's, Pasquale's, Liam's",
"Greta's, Pasquale's, Theodore's, Theodore's, Hildy's, Liam's",
"Hildy's, Hildy's, Hildy's, Liam's, Pasquale's, Theodore's",
"Pasquale's, Hildy's, Fleure's, Liam's, Theodore's, Theodore's",
"Pasquale's, Hildy's, Theodore's, Hildy's, Liam's, Liam's"
] | 3 |
The six messages on an answering machine were each left by one of Fleure, Greta, Hildy, Liam, Pasquale, or Theodore, consistent with the following: At most one person left more than one message. No person left more than three messages. If the first message is Hildy's, the last is Pasquale's. If Greta left any message, Fleure and Pasquale did also. If Fleure left any message, Pasquale and Theodore did also, all of Pasquale's preceding any of Theodore's. If Pasquale left any message, Hildy and Liam did also, all of Hildy's preceding any of Liam's. | The first and last messages on the answering machine could be the first and second messages left by which one of the following? | [
"Fleure",
"Hildy",
"Liam",
"Pasquale",
"Theodore"
] | 0 |
The six messages on an answering machine were each left by one of Fleure, Greta, Hildy, Liam, Pasquale, or Theodore, consistent with the following: At most one person left more than one message. No person left more than three messages. If the first message is Hildy's, the last is Pasquale's. If Greta left any message, Fleure and Pasquale did also. If Fleure left any message, Pasquale and Theodore did also, all of Pasquale's preceding any of Theodore's. If Pasquale left any message, Hildy and Liam did also, all of Hildy's preceding any of Liam's. | If Greta left the fifth message, then which one of the following messages CANNOT have been left by Theodore? | [
"the first message",
"the second message",
"the third message",
"the fourth message",
"the sixth message"
] | 0 |
The six messages on an answering machine were each left by one of Fleure, Greta, Hildy, Liam, Pasquale, or Theodore, consistent with the following: At most one person left more than one message. No person left more than three messages. If the first message is Hildy's, the last is Pasquale's. If Greta left any message, Fleure and Pasquale did also. If Fleure left any message, Pasquale and Theodore did also, all of Pasquale's preceding any of Theodore's. If Pasquale left any message, Hildy and Liam did also, all of Hildy's preceding any of Liam's. | Each of the following must be true EXCEPT: | [
"Liam left at least one message.",
"Theodore left at least one message.",
"Hildy left at least one message.",
"Exactly one person left at least two messages.",
"At least four people left messages."
] | 3 |
The six messages on an answering machine were each left by one of Fleure, Greta, Hildy, Liam, Pasquale, or Theodore, consistent with the following: At most one person left more than one message. No person left more than three messages. If the first message is Hildy's, the last is Pasquale's. If Greta left any message, Fleure and Pasquale did also. If Fleure left any message, Pasquale and Theodore did also, all of Pasquale's preceding any of Theodore's. If Pasquale left any message, Hildy and Liam did also, all of Hildy's preceding any of Liam's. | If the only message Pasquale left is the fifth message, then which one of the following could be true? | [
"Hildy left the first message.",
"Theodore left exactly two messages.",
"Liam left exactly two messages.",
"Liam left the second message.",
"Fleure left the third and fourth messages."
] | 2 |
Exactly five cars—Frank's, Marquitta's, Orlando's, Taishah's, and Vinquetta's—are washed, each exactly once. The cars are washed one at a time, with each receiving exactly one kind of wash: regular, super, or premium. The following conditions must apply: The first car washed does not receive a super wash, though at least one car does. Exactly one car receives a premium wash. The second and third cars washed receive the same kind of wash as each other. Neither Orlando's nor Taishah's is washed before Vinquetta's. Marquitta's is washed before Frank's, but after Orlando's. Marquitta's and the car washed immediately before Marquitta's receive regular washes. | Which one of the following could be an accurate list of the cars in the order in which they are washed, matched with type of wash received? | [
"Orlando's: premium; Vinquetta's: regular; Taishah's: regular; Marquitta's: regular; Frank's: super",
"Vinquetta's: premium; Orlando's: regular; Taishah's: regular; Marquitta's: regular; Frank's: super",
"Vinquetta's: regular; Marquitta's: regular; Taishah's: regular; Orlando's: super; Frank's: super",
"Vinquetta's: super; Orlando's: regular; Marquitta's: regular; Frank's: regular; Taishah's: super",
"Vinquetta's: premium; Orlando's: regular; Marquitta's: regular; Frank's: regular; Taishah's: regular"
] | 1 |
Exactly five cars—Frank's, Marquitta's, Orlando's, Taishah's, and Vinquetta's—are washed, each exactly once. The cars are washed one at a time, with each receiving exactly one kind of wash: regular, super, or premium. The following conditions must apply: The first car washed does not receive a super wash, though at least one car does. Exactly one car receives a premium wash. The second and third cars washed receive the same kind of wash as each other. Neither Orlando's nor Taishah's is washed before Vinquetta's. Marquitta's is washed before Frank's, but after Orlando's. Marquitta's and the car washed immediately before Marquitta's receive regular washes. | If Vinquetta's car does not receive a premium wash, which one of the following must be true? | [
"Orlando's and Vinquetta's cars receive the same kind of wash as each other.",
"Marquitta's and Taishah's cars receive the same kind of wash as each other.",
"The fourth car washed receives a premium wash.",
"Orlando's car is washed third.",
"Marquitta's car is washed fourth."
] | 0 |
Exactly five cars—Frank's, Marquitta's, Orlando's, Taishah's, and Vinquetta's—are washed, each exactly once. The cars are washed one at a time, with each receiving exactly one kind of wash: regular, super, or premium. The following conditions must apply: The first car washed does not receive a super wash, though at least one car does. Exactly one car receives a premium wash. The second and third cars washed receive the same kind of wash as each other. Neither Orlando's nor Taishah's is washed before Vinquetta's. Marquitta's is washed before Frank's, but after Orlando's. Marquitta's and the car washed immediately before Marquitta's receive regular washes. | If the last two cars washed receive the same kind of wash as each other, then which one of the following could be true? | [
"Orlando's car is washed third.",
"Taishah's car is washed fifth.",
"Taishah's car is washed before Marquitta's car.",
"Vinquetta's car receives a regular wash.",
"Exactly one car receives a super wash."
] | 1 |
Exactly five cars—Frank's, Marquitta's, Orlando's, Taishah's, and Vinquetta's—are washed, each exactly once. The cars are washed one at a time, with each receiving exactly one kind of wash: regular, super, or premium. The following conditions must apply: The first car washed does not receive a super wash, though at least one car does. Exactly one car receives a premium wash. The second and third cars washed receive the same kind of wash as each other. Neither Orlando's nor Taishah's is washed before Vinquetta's. Marquitta's is washed before Frank's, but after Orlando's. Marquitta's and the car washed immediately before Marquitta's receive regular washes. | Which one of the following must be true? | [
"Vinquetta's car receives a premium wash.",
"Exactly two cars receive a super wash.",
"The fifth car washed receives a super wash.",
"The fourth car washed receives a super wash.",
"The second car washed receives a regular wash."
] | 4 |
Exactly five cars—Frank's, Marquitta's, Orlando's, Taishah's, and Vinquetta's—are washed, each exactly once. The cars are washed one at a time, with each receiving exactly one kind of wash: regular, super, or premium. The following conditions must apply: The first car washed does not receive a super wash, though at least one car does. Exactly one car receives a premium wash. The second and third cars washed receive the same kind of wash as each other. Neither Orlando's nor Taishah's is washed before Vinquetta's. Marquitta's is washed before Frank's, but after Orlando's. Marquitta's and the car washed immediately before Marquitta's receive regular washes. | Which one of the following is a complete and accurate list of the cars that must receive a regular wash? | [
"Frank's, Marquitta's",
"Marquitta's, Orlando's",
"Marquitta's, Orlando's, Taishah's",
"Marquitta's, Taishah's",
"Marquitta's, Vinquetta's"
] | 1 |
Exactly five cars—Frank's, Marquitta's, Orlando's, Taishah's, and Vinquetta's—are washed, each exactly once. The cars are washed one at a time, with each receiving exactly one kind of wash: regular, super, or premium. The following conditions must apply: The first car washed does not receive a super wash, though at least one car does. Exactly one car receives a premium wash. The second and third cars washed receive the same kind of wash as each other. Neither Orlando's nor Taishah's is washed before Vinquetta's. Marquitta's is washed before Frank's, but after Orlando's. Marquitta's and the car washed immediately before Marquitta's receive regular washes. | Suppose that in addition to the original five cars Jabrohn's car is also washed. If all the other conditions hold as given, which one of the following CANNOT be true? | [
"Orlando's car receives a premium wash.",
"Vinquetta's car receives a super wash.",
"Four cars receive a regular wash.",
"Only the second and third cars washed receive a regular wash.",
"Jabrohn's car is washed after Frank's car."
] | 0 |
Exactly seven toy-truck models—F, G, H, J, K, M, and S—are assembled on seven assembly lines, exactly one model to a line. The seven lines are arranged side by side and numbered consecutively 1 through 7. Assignment of models to lines must meet the following conditions: F is assembled on a lower-numbered line than J. M is assembled on the line numbered one lower than the line on which G is assembled. H is assembled on line 1 or else line 7. S is assembled on line 4. | Which one of the following is an acceptable assignment of toy-truck models to lines, on order from line 1 through line 7? | [
"F, J, K, S, H, M, G",
"F, K, J, S, M, G, H",
"F, M, K, S, G, J, H",
"H, K, S, M, G, F, J",
"H, M, G, S, J, F, K"
] | 1 |
Exactly seven toy-truck models—F, G, H, J, K, M, and S—are assembled on seven assembly lines, exactly one model to a line. The seven lines are arranged side by side and numbered consecutively 1 through 7. Assignment of models to lines must meet the following conditions: F is assembled on a lower-numbered line than J. M is assembled on the line numbered one lower than the line on which G is assembled. H is assembled on line 1 or else line 7. S is assembled on line 4. | It must be true that the lowest-numbered line on which | [
"F can be assembled is line 2",
"G can be assembled is line 3",
"J can be assembled is line 2",
"K can be assembled is line 3",
"M can be assembled is line 2"
] | 2 |
Exactly seven toy-truck models—F, G, H, J, K, M, and S—are assembled on seven assembly lines, exactly one model to a line. The seven lines are arranged side by side and numbered consecutively 1 through 7. Assignment of models to lines must meet the following conditions: F is assembled on a lower-numbered line than J. M is assembled on the line numbered one lower than the line on which G is assembled. H is assembled on line 1 or else line 7. S is assembled on line 4. | If K is assembled on line 5, which one of the following is a pair of models that could be assembled, not necessarily in the order given, on lines whose numbers are consecutive to each other? | [
"G, H",
"G, J",
"H, J",
"J, M",
"M, S"
] | 2 |
Exactly seven toy-truck models—F, G, H, J, K, M, and S—are assembled on seven assembly lines, exactly one model to a line. The seven lines are arranged side by side and numbered consecutively 1 through 7. Assignment of models to lines must meet the following conditions: F is assembled on a lower-numbered line than J. M is assembled on the line numbered one lower than the line on which G is assembled. H is assembled on line 1 or else line 7. S is assembled on line 4. | There can be at most how many lines between the line on which F is assembled and the line on which J is assembled? | [
"one",
"two",
"three",
"four",
"five"
] | 3 |
Exactly seven toy-truck models—F, G, H, J, K, M, and S—are assembled on seven assembly lines, exactly one model to a line. The seven lines are arranged side by side and numbered consecutively 1 through 7. Assignment of models to lines must meet the following conditions: F is assembled on a lower-numbered line than J. M is assembled on the line numbered one lower than the line on which G is assembled. H is assembled on line 1 or else line 7. S is assembled on line 4. | If K is assembled on line 2, which one of the following must be true? | [
"F is assembled on a lower-numbered line than S.",
"H is assembled on a lower-numbered line than G.",
"J is assembled on a lower-numbered line than H.",
"M is assembled on a lower-numbered line than J.",
"S is assembled on a lower-numbered line than J."
] | 0 |
Exactly seven toy-truck models—F, G, H, J, K, M, and S—are assembled on seven assembly lines, exactly one model to a line. The seven lines are arranged side by side and numbered consecutively 1 through 7. Assignment of models to lines must meet the following conditions: F is assembled on a lower-numbered line than J. M is assembled on the line numbered one lower than the line on which G is assembled. H is assembled on line 1 or else line 7. S is assembled on line 4. | If G is assembled on the line numbered one less than the line on which F is assembled, then which one of the following must be true? | [
"F is assembled on line 3.",
"G is assembled on line 5.",
"H is assembled on line 1.",
"K is assembled on line 5.",
"M is assembled on line 6."
] | 0 |
Exactly seven toy-truck models—F, G, H, J, K, M, and S—are assembled on seven assembly lines, exactly one model to a line. The seven lines are arranged side by side and numbered consecutively 1 through 7. Assignment of models to lines must meet the following conditions: F is assembled on a lower-numbered line than J. M is assembled on the line numbered one lower than the line on which G is assembled. H is assembled on line 1 or else line 7. S is assembled on line 4. | If M is assembled on line 1, which one of the following could be true? | [
"F is assembled on a line numbered one lower than the line on which H is assembled.",
"F is assembled on a line numbered one lower than the line on which K is assembled.",
"G is assembled on a line numbered one lower than the line on which J is assembled.",
"G is assembled on a line numbered one lower than the line on which K is assembled.",
"K is assembled on a line numbered one lower than the line on which G is assembled."
] | 3 |
At a water carnival, each of the eight lifeguards—J, K, L, M, P, Q, R, and S—will participate in two events, a boat race and a rescue exercise. For each of these events the eight lifeguards are grouped into four two-person teams, subject to the following rules: If two lifeguards are teammates in the boat race, they cannot also be teammates in the rescue exercise. L and Q are teammates in the boat race. K and L are teammates in the rescue exercise. R and S are not teammates in either event. | Which one of the following could be a list of the four teams participating in the boat race? | [
"J and L; K and S; M and Q; P and R",
"J and M; K and P; L and Q; R and S",
"J and M; K and R; L and S; P and Q",
"J and M; K and S; L and Q; P and R",
"J and P; K and L; M and R; Q and S"
] | 3 |
At a water carnival, each of the eight lifeguards—J, K, L, M, P, Q, R, and S—will participate in two events, a boat race and a rescue exercise. For each of these events the eight lifeguards are grouped into four two-person teams, subject to the following rules: If two lifeguards are teammates in the boat race, they cannot also be teammates in the rescue exercise. L and Q are teammates in the boat race. K and L are teammates in the rescue exercise. R and S are not teammates in either event. | Which one of the following is a pair of lifeguards who cannot be teammates in the rescue exercise but who could be teammates in the boat race? | [
"J and P",
"K and R",
"L and S",
"P and M",
"P and Q"
] | 1 |
At a water carnival, each of the eight lifeguards—J, K, L, M, P, Q, R, and S—will participate in two events, a boat race and a rescue exercise. For each of these events the eight lifeguards are grouped into four two-person teams, subject to the following rules: If two lifeguards are teammates in the boat race, they cannot also be teammates in the rescue exercise. L and Q are teammates in the boat race. K and L are teammates in the rescue exercise. R and S are not teammates in either event. | If M and P are teammates in the boat race and J and R are teammates in the rescue exercise, which one of the following is a pair that must be teammates in the boat race? | [
"J and K",
"J and S",
"K and L",
"K and S",
"Q and R"
] | 1 |
At a water carnival, each of the eight lifeguards—J, K, L, M, P, Q, R, and S—will participate in two events, a boat race and a rescue exercise. For each of these events the eight lifeguards are grouped into four two-person teams, subject to the following rules: If two lifeguards are teammates in the boat race, they cannot also be teammates in the rescue exercise. L and Q are teammates in the boat race. K and L are teammates in the rescue exercise. R and S are not teammates in either event. | If P and K are teammates in the boat race and P and Q are teammates in the rescue exercise, then each of the following lists a pair of lifeguards who must be teammates in one of the two events EXCEPT: | [
"J and M",
"J and R",
"J and S",
"M and R",
"M and S"
] | 0 |
At a water carnival, each of the eight lifeguards—J, K, L, M, P, Q, R, and S—will participate in two events, a boat race and a rescue exercise. For each of these events the eight lifeguards are grouped into four two-person teams, subject to the following rules: If two lifeguards are teammates in the boat race, they cannot also be teammates in the rescue exercise. L and Q are teammates in the boat race. K and L are teammates in the rescue exercise. R and S are not teammates in either event. | If J and P are teammates in the boat race, then M could be the teammate of | [
"K in the boat race and S in the rescue exercise",
"L in the boat race and S in the rescue exercise",
"R in the boat race and L in the rescue exercise",
"S in the boat race and K in the rescue exercise",
"S in the boat race and P in the rescue exercise"
] | 4 |
A critic ranks exactly seven restaurants—Lautrec, Medici, Pastilla, Robusto, Scheherazade's, Tantoko, and Vistula—from highest (best) to lowest (worst). The ranking must meet the following conditions: Pastilla ranks higher than Lautrec but lower than Robusto. Medici ranks higher than Vistula but lower than Tantoko. If Scheherazade's ranks higher than Pastilla, Medici ranks higher than Scheherazade's. If Medici ranks higher than Scheherazade's, Scheherazade's ranks higher than Pastilla. There are no ties. | Which one of the following could be an accurate ranking of the restaurants, from highest to lowest? | [
"Tantoko, Medici, Scheherazade's, Pastilla, Vistula, Robusto, Lautrec",
"Robusto, Pastilla, Tantoko, Medici, Scheherazade's, Vistula, Lautrec",
"Tantoko, Medici, Scheherazade's, Robusto, Vistula, Pastilla, Lautrec",
"Tantoko, Robusto, Medici, Vistula, Pastilla, Scheherazade's, Lautrec",
"Robusto, Pastilla, Scheherazade's, Medici, Vistula, Tantoko, Lautrec"
] | 2 |
A critic ranks exactly seven restaurants—Lautrec, Medici, Pastilla, Robusto, Scheherazade's, Tantoko, and Vistula—from highest (best) to lowest (worst). The ranking must meet the following conditions: Pastilla ranks higher than Lautrec but lower than Robusto. Medici ranks higher than Vistula but lower than Tantoko. If Scheherazade's ranks higher than Pastilla, Medici ranks higher than Scheherazade's. If Medici ranks higher than Scheherazade's, Scheherazade's ranks higher than Pastilla. There are no ties. | If Pastilla ranks second highest, then which one of the following is a complete and accurate list of restaurants any one of which could be ranked fourth highest? | [
"Lautrec",
"Lautrec, Vistula",
"Scheherazade's, Lautrec",
"Scheherazade's, Lautrec, Medici",
"Scheherazade's, Lautrec, Tantoko"
] | 4 |
A critic ranks exactly seven restaurants—Lautrec, Medici, Pastilla, Robusto, Scheherazade's, Tantoko, and Vistula—from highest (best) to lowest (worst). The ranking must meet the following conditions: Pastilla ranks higher than Lautrec but lower than Robusto. Medici ranks higher than Vistula but lower than Tantoko. If Scheherazade's ranks higher than Pastilla, Medici ranks higher than Scheherazade's. If Medici ranks higher than Scheherazade's, Scheherazade's ranks higher than Pastilla. There are no ties. | Which one of the following is the lowest ranking that Medici could have? | [
"second highest",
"third highest",
"fourth highest",
"fifth highest",
"sixth highest"
] | 4 |
A critic ranks exactly seven restaurants—Lautrec, Medici, Pastilla, Robusto, Scheherazade's, Tantoko, and Vistula—from highest (best) to lowest (worst). The ranking must meet the following conditions: Pastilla ranks higher than Lautrec but lower than Robusto. Medici ranks higher than Vistula but lower than Tantoko. If Scheherazade's ranks higher than Pastilla, Medici ranks higher than Scheherazade's. If Medici ranks higher than Scheherazade's, Scheherazade's ranks higher than Pastilla. There are no ties. | If Medici ranks lower than Lautrec, then which one of the following must be true? | [
"Lautrec ranks higher than Tantoko.",
"Scheherazade's ranks higher than Vistula.",
"Pastilla ranks higher than Tantoko.",
"Tantoko ranks higher than Scheherazade's.",
"Tantoko ranks higher than Pastilla."
] | 1 |
A critic ranks exactly seven restaurants—Lautrec, Medici, Pastilla, Robusto, Scheherazade's, Tantoko, and Vistula—from highest (best) to lowest (worst). The ranking must meet the following conditions: Pastilla ranks higher than Lautrec but lower than Robusto. Medici ranks higher than Vistula but lower than Tantoko. If Scheherazade's ranks higher than Pastilla, Medici ranks higher than Scheherazade's. If Medici ranks higher than Scheherazade's, Scheherazade's ranks higher than Pastilla. There are no ties. | If Vistula ranks higher than Robusto, then which one of the following restaurants could be ranked fifth highest? | [
"Tantoko",
"Medici",
"Scheherazade's",
"Vistula",
"Pastilla"
] | 2 |
A critic ranks exactly seven restaurants—Lautrec, Medici, Pastilla, Robusto, Scheherazade's, Tantoko, and Vistula—from highest (best) to lowest (worst). The ranking must meet the following conditions: Pastilla ranks higher than Lautrec but lower than Robusto. Medici ranks higher than Vistula but lower than Tantoko. If Scheherazade's ranks higher than Pastilla, Medici ranks higher than Scheherazade's. If Medici ranks higher than Scheherazade's, Scheherazade's ranks higher than Pastilla. There are no ties. | Which one of the following CANNOT be true? | [
"Pastilla ranks second highest.",
"Vistula ranks third highest.",
"Lautrec ranks third highest.",
"Robusto ranks fifth highest.",
"Scheherazade's ranks sixth highest."
] | 4 |