context stringlengths 339 932 | question stringlengths 18 356 | answers listlengths 5 5 | label int64 0 4 |
|---|---|---|---|
John receives one grade for each of the following six courses: economics, geology, history, Italian, physics, and Russian. From highest to lowest, the possible grades are A, B, C, D, and E. E is the only failing grade. Two letter grades are consecutive if and only if they are adjacent in the alphabet. John's grades in ... | Assume that John's grade in physics is higher than his grade in Italian and consecutive with it and that his grades in Russian and physics differ. Which one of the following must be true? | [
"John receives both an A and a B.",
"John receives both an A and a C.",
"John receives both a B and a D.",
"John receives both a B and an E.",
"John receives both a D and an E."
] | 2 |
John receives one grade for each of the following six courses: economics, geology, history, Italian, physics, and Russian. From highest to lowest, the possible grades are A, B, C, D, and E. E is the only failing grade. Two letter grades are consecutive if and only if they are adjacent in the alphabet. John's grades in ... | Assume that John receives a lower grade in economics than in physics. He must have failed at least one course if which one of the following is also true? | [
"He receives a lower grade in Italian than in economics.",
"He receives a lower grade in Italian than in physics.",
"He receives a lower grade in physics than in Italian.",
"He receives a lower grade in Russian than in economics.",
"He receives a lower grade in Russian than in history."
] | 4 |
A store sells shirts only in small, medium, and large sizes, and only in red, yellow, and blue colors. Casey buys exactly three shirts from the store. A shirt type consists of both a size and a color. Casey does not buy two shirts of the same type. Casey does not buy both a small shirt and a large shirt. No small red s... | Which one of the following must be false? | [
"Two of the shirts that Casey buys are small and two are red.",
"Two of the shirts that Casey buys are medium and two are red.",
"Two of the shirts that Casey buys are large and two are red.",
"Two of the shirts that Casey buys are small, one is yellow, and one is blue.",
"Two of the shirts that Casey buys ... | 0 |
A store sells shirts only in small, medium, and large sizes, and only in red, yellow, and blue colors. Casey buys exactly three shirts from the store. A shirt type consists of both a size and a color. Casey does not buy two shirts of the same type. Casey does not buy both a small shirt and a large shirt. No small red s... | If Casey buys a small blue shirt, which one of the following must be false? | [
"Casey buys two blue shirts.",
"Casey buys two red shirts.",
"Casey buys two yellow shirts.",
"Casey buys two small shirts.",
"Casey buys two medium shirts."
] | 1 |
A store sells shirts only in small, medium, and large sizes, and only in red, yellow, and blue colors. Casey buys exactly three shirts from the store. A shirt type consists of both a size and a color. Casey does not buy two shirts of the same type. Casey does not buy both a small shirt and a large shirt. No small red s... | If Casey does not buy a medium yellow shirt, which one of the following must be true? | [
"Casey buys either a medium red shirt or a small blue shirt.",
"Casey buys either a medium red shirt or a medium blue shirt.",
"Casey buys either a large red shirt or a small blue shirt.",
"Casey buys either a large red shirt or a medium red shirt.",
"Casey buys either a large yellow shirt or a small yellow... | 1 |
A store sells shirts only in small, medium, and large sizes, and only in red, yellow, and blue colors. Casey buys exactly three shirts from the store. A shirt type consists of both a size and a color. Casey does not buy two shirts of the same type. Casey does not buy both a small shirt and a large shirt. No small red s... | If Casey buys exactly one medium shirt and does not buy two shirts of the same color, then she cannot buy which one of the following? | [
"a medium red shirt",
"a medium yellow shirt",
"a medium blue shirt",
"a large red shirt",
"a large yellow shirt"
] | 1 |
A store sells shirts only in small, medium, and large sizes, and only in red, yellow, and blue colors. Casey buys exactly three shirts from the store. A shirt type consists of both a size and a color. Casey does not buy two shirts of the same type. Casey does not buy both a small shirt and a large shirt. No small red s... | If neither large red shirts nor small blue shirts are available, which one of the following must Casey buy? | [
"a red shirt",
"a medium yellow shirt",
"either a large shirt or a small shirt",
"either a medium red shirt or a medium blue shirt",
"either a large yellow shirt or a medium blue shirt"
] | 3 |
A hobbyist is stocking her aquarium with exactly three fish of different types and with exactly two species of plants. The only fish under consideration are a G, an H, a J, a K, and an L, and the only kinds of plants under consideration are of the species W, X, Y, and Z. She will observe the following conditions: If sh... | Which one of the following is an acceptable selection of fish and plants for the aquarium? Fish Plants | [
"G, H, K W, Y",
"G, J, K W, X",
"G, J, L X, Z",
"H, J, L W, Z",
"H, K, L Y, Z"
] | 1 |
A hobbyist is stocking her aquarium with exactly three fish of different types and with exactly two species of plants. The only fish under consideration are a G, an H, a J, a K, and an L, and the only kinds of plants under consideration are of the species W, X, Y, and Z. She will observe the following conditions: If sh... | If the hobbyist selects the H, which one of the following must also be true? | [
"She selects at least one W.",
"She selects at least one X.",
"She selects the J, but no Y's.",
"She selects the K, but no X's.",
"She selects at least one X, but no Y's."
] | 1 |
A hobbyist is stocking her aquarium with exactly three fish of different types and with exactly two species of plants. The only fish under consideration are a G, an H, a J, a K, and an L, and the only kinds of plants under consideration are of the species W, X, Y, and Z. She will observe the following conditions: If sh... | If the hobbyist selects both X's and Z's, which one of the following could be the group of fish she selects? | [
"G, H, K",
"G, J, K",
"G, K, L",
"H, J, L",
"J, K, L"
] | 2 |
A hobbyist is stocking her aquarium with exactly three fish of different types and with exactly two species of plants. The only fish under consideration are a G, an H, a J, a K, and an L, and the only kinds of plants under consideration are of the species W, X, Y, and Z. She will observe the following conditions: If sh... | The hobbyist could select any of the following groups of fish for the aquarium EXCEPT | [
"G, K, L",
"H, J, K",
"H, J, L",
"H, K, L",
"J, K, L"
] | 2 |
A hobbyist is stocking her aquarium with exactly three fish of different types and with exactly two species of plants. The only fish under consideration are a G, an H, a J, a K, and an L, and the only kinds of plants under consideration are of the species W, X, Y, and Z. She will observe the following conditions: If sh... | If the hobbyist selects a Y, which one of the following must be the group of fish she selects? | [
"G, H, K",
"H, J, K",
"H, J, L",
"H, K, L",
"J, K, L"
] | 3 |
A hobbyist is stocking her aquarium with exactly three fish of different types and with exactly two species of plants. The only fish under consideration are a G, an H, a J, a K, and an L, and the only kinds of plants under consideration are of the species W, X, Y, and Z. She will observe the following conditions: If sh... | The hobbyist could select any of the following plant combinations EXCEPT | [
"W and X",
"W and Y",
"W and Z",
"X and Y",
"X and Z"
] | 1 |
A committee ranks five towns—Palmdale, Quietville, Riverdale, Seaside, Tidetown—from first (best) to fifth (worst) on each of three criteria: climate, location, friendliness. For each of the three criteria, none of the five towns receives the same ranking as any other town does. In climate, Tidetown is ranked third, an... | Which of the following is a complete and accurate list of the rankings any one of which could be the ranking on climate given to Riverdale? | [
"first",
"first, second",
"first, fifth",
"second, fifth",
"first, second, fifth"
] | 1 |
A committee ranks five towns—Palmdale, Quietville, Riverdale, Seaside, Tidetown—from first (best) to fifth (worst) on each of three criteria: climate, location, friendliness. For each of the three criteria, none of the five towns receives the same ranking as any other town does. In climate, Tidetown is ranked third, an... | Which of the following is a town that CANNOT be ranked fifth on any one of the three criteria? | [
"Palmdale",
"Quietville",
"Riverdale",
"Seaside",
"Tidetown"
] | 2 |
A committee ranks five towns—Palmdale, Quietville, Riverdale, Seaside, Tidetown—from first (best) to fifth (worst) on each of three criteria: climate, location, friendliness. For each of the three criteria, none of the five towns receives the same ranking as any other town does. In climate, Tidetown is ranked third, an... | Which of the following could be true? | [
"Palmdale is ranked first in both climate and friendliness.",
"Quietville is ranked second in both climate and location.",
"Riverdale is ranked first in climate and third in both location and friendliness.",
"Seaside is ranked fifth in friendliness and fourth in both climate and location.",
"Tidetown is ran... | 2 |
A committee ranks five towns—Palmdale, Quietville, Riverdale, Seaside, Tidetown—from first (best) to fifth (worst) on each of three criteria: climate, location, friendliness. For each of the three criteria, none of the five towns receives the same ranking as any other town does. In climate, Tidetown is ranked third, an... | If Quietville is ranked first in climate, then it must be true that | [
"Palmdale is ranked second in climate",
"Palmdale is ranked third in friendliness",
"Riverdale is ranked second in friendliness",
"Riverdale is ranked third in friendliness",
"Tidetown is ranked fifth in location"
] | 3 |
A committee ranks five towns—Palmdale, Quietville, Riverdale, Seaside, Tidetown—from first (best) to fifth (worst) on each of three criteria: climate, location, friendliness. For each of the three criteria, none of the five towns receives the same ranking as any other town does. In climate, Tidetown is ranked third, an... | If Palmdale is ranked second in climate, then which one of the following can be true? | [
"Palmdale is ranked second in friendliness.",
"Quietville is ranked first in climate.",
"Riverdale is ranked first in friendliness.",
"Riverdale is ranked fifth in climate.",
"Tidetown is ranked third in friendliness."
] | 0 |
A committee ranks five towns—Palmdale, Quietville, Riverdale, Seaside, Tidetown—from first (best) to fifth (worst) on each of three criteria: climate, location, friendliness. For each of the three criteria, none of the five towns receives the same ranking as any other town does. In climate, Tidetown is ranked third, an... | If Tidetown is ranked first in location and Riverdale is ranked second in friendliness, then it is possible to deduce with certainty all three rankings for exactly how many of the towns? | [
"One",
"Two",
"Three",
"Four",
"Five"
] | 4 |
A committee ranks five towns—Palmdale, Quietville, Riverdale, Seaside, Tidetown—from first (best) to fifth (worst) on each of three criteria: climate, location, friendliness. For each of the three criteria, none of the five towns receives the same ranking as any other town does. In climate, Tidetown is ranked third, an... | Which one of the following statements CANNOT be true? | [
"Palmdale is ranked first in climate.",
"Quietville is ranked fifth in climate.",
"Riverdale is ranked third in friendliness.",
"Seaside is ranked first in location.",
"Tidetown is ranked second in friendliness."
] | 4 |
Petworld has exactly fourteen animals (three gerbils, three hamsters, three lizards, five snakes) that are kept in four separate cages (W, X, Y, Z) according to the following conditions: Each cage contains exactly two, four, or six animals. Any cage containing a gerbil also contains at least one hamster; any cage conta... | Which one of the following could be a complete and accurate list of the animals kept in cages W and Y? | [
"W: one gerbil and one hamster Y: two lizards and two snakes",
"W: one gerbil and two hamsters Y: one lizard and three snakes",
"W: two gerbils and two hamsters Y: one lizard and four snakes",
"W: two gerbils and two hamsters Y: three lizards and one snake",
"W: two gerbils and two lizards Y: two hamsters a... | 0 |
Petworld has exactly fourteen animals (three gerbils, three hamsters, three lizards, five snakes) that are kept in four separate cages (W, X, Y, Z) according to the following conditions: Each cage contains exactly two, four, or six animals. Any cage containing a gerbil also contains at least one hamster; any cage conta... | If there are exactly two hamsters in cage W and the number of gerbils in cage X is equal to the number of snakes in cage Y, then the number of snakes in cage Z must be exactly | [
"one",
"two",
"three",
"four",
"five"
] | 3 |
Petworld has exactly fourteen animals (three gerbils, three hamsters, three lizards, five snakes) that are kept in four separate cages (W, X, Y, Z) according to the following conditions: Each cage contains exactly two, four, or six animals. Any cage containing a gerbil also contains at least one hamster; any cage conta... | If cage Z contains exactly twice as many lizards as cage Y, which one of the following can be true? | [
"Cage Y contains exactly two lizards.",
"Cage Y contains exactly two snakes.",
"Cage Y contains exactly four animals.",
"Cage Z contains exactly three snakes.",
"Cage Z contains exactly two animals."
] | 2 |
Petworld has exactly fourteen animals (three gerbils, three hamsters, three lizards, five snakes) that are kept in four separate cages (W, X, Y, Z) according to the following conditions: Each cage contains exactly two, four, or six animals. Any cage containing a gerbil also contains at least one hamster; any cage conta... | If the number of animals in cage W is equal to the number of animals in cage Z, then which one of the following can be true? | [
"Cage W contains exactly six animals.",
"Cage X contains exactly six animals.",
"Cage Y contains exactly one snake.",
"Cage Y contains exactly three snakes.",
"Cage Z contains exactly four snakes."
] | 3 |
Petworld has exactly fourteen animals (three gerbils, three hamsters, three lizards, five snakes) that are kept in four separate cages (W, X, Y, Z) according to the following conditions: Each cage contains exactly two, four, or six animals. Any cage containing a gerbil also contains at least one hamster; any cage conta... | If cage Y contains six animals, which one of the following must be true? | [
"Cage W contains two gerbils.",
"Cage X contains four animals.",
"Cage Z contains two snakes.",
"The number of snakes in cage Y is equal to the number of lizards in cage Y.",
"The number of snakes in cage Z is equal to the number of lizards in cage Z."
] | 4 |
Petworld has exactly fourteen animals (three gerbils, three hamsters, three lizards, five snakes) that are kept in four separate cages (W, X, Y, Z) according to the following conditions: Each cage contains exactly two, four, or six animals. Any cage containing a gerbil also contains at least one hamster; any cage conta... | At most, how many snakes can occupy cage Y at any one time? | [
"one",
"two",
"three",
"four",
"five"
] | 3 |
A soft drink manufacturer surveyed consumer preferences for exactly seven proposed names for its new soda: Jazz, Kola, Luck, Mist, Nipi, Oboy, and Ping. The manufacturer ranked the seven names according to the number of votes they received. The name that received the most votes was ranked first. Every name received a d... | Which one of the following could be an accurate list of the seven names in rank order from first through seventh? | [
"Jazz, Luck, Ping, Nipi, Kola, Oboy, Mist",
"Jazz, Luck, Ping, Oboy, Kola, Mist, Nipi",
"Luck, Ping, Jazz, Nipi, Oboy, Kola, Mist",
"Luck, Ping, Nipi, Oboy, Jazz, Kola, Mist",
"Ping, Luck, Jazz, Oboy, Nipi, Kola, Mist"
] | 2 |
A soft drink manufacturer surveyed consumer preferences for exactly seven proposed names for its new soda: Jazz, Kola, Luck, Mist, Nipi, Oboy, and Ping. The manufacturer ranked the seven names according to the number of votes they received. The name that received the most votes was ranked first. Every name received a d... | Which one of the following statements must be true? | [
"Jazz received more votes than Nipi.",
"Kola received more votes than Nipi.",
"Luck received more votes than Jazz.",
"Nipi received more votes than Oboy.",
"Ping received more votes than Kola."
] | 4 |
A soft drink manufacturer surveyed consumer preferences for exactly seven proposed names for its new soda: Jazz, Kola, Luck, Mist, Nipi, Oboy, and Ping. The manufacturer ranked the seven names according to the number of votes they received. The name that received the most votes was ranked first. Every name received a d... | If the ranks of Ping, Oboy, and Kola were consecutive, then which one of the following statements would have to be false? | [
"Jazz received more votes than Luck.",
"Jazz received more votes than Ping.",
"Nipi received more votes than Oboy.",
"Nipi received more votes than Mist.",
"Oboy received more votes than Nipi."
] | 2 |
A soft drink manufacturer surveyed consumer preferences for exactly seven proposed names for its new soda: Jazz, Kola, Luck, Mist, Nipi, Oboy, and Ping. The manufacturer ranked the seven names according to the number of votes they received. The name that received the most votes was ranked first. Every name received a d... | What is the total number of the soft drink names whose exact ranks can be deduced from the partial survey results? | [
"one",
"two",
"three",
"four",
"five"
] | 0 |
A soft drink manufacturer surveyed consumer preferences for exactly seven proposed names for its new soda: Jazz, Kola, Luck, Mist, Nipi, Oboy, and Ping. The manufacturer ranked the seven names according to the number of votes they received. The name that received the most votes was ranked first. Every name received a d... | What is the maximum possible number of the soft drink names any one of which could be among the three most popular? | [
"three",
"four",
"five",
"six",
"seven"
] | 1 |
A soft drink manufacturer surveyed consumer preferences for exactly seven proposed names for its new soda: Jazz, Kola, Luck, Mist, Nipi, Oboy, and Ping. The manufacturer ranked the seven names according to the number of votes they received. The name that received the most votes was ranked first. Every name received a d... | If Ping received more votes than Jazz, then what is the maximum possible number of names whose ranks can be determined? | [
"two",
"three",
"four",
"five",
"six"
] | 1 |
Eight benches—J, K, L, T, U, X, Y, and Z are arranged along the perimeter of a park as shown below: The following is true: J, K, and L are green; T and U are red; X, Y, and Z are pink. The green benches stand next to one another along the park's perimeter. The pink benches stand next to one another along the park's per... | Which one of the following benches could be on the northeast corner of the park? | [
"Z",
"Y",
"X",
"T",
"L"
] | 4 |
Eight benches—J, K, L, T, U, X, Y, and Z are arranged along the perimeter of a park as shown below: The following is true: J, K, and L are green; T and U are red; X, Y, and Z are pink. The green benches stand next to one another along the park's perimeter. The pink benches stand next to one another along the park's per... | Each of the following statements must be true EXCEPT: | [
"The bench on the northwest corner is pink.",
"The bench on the northeast corner is green.",
"The bench on the southwest corner is pink.",
"The middle bench on the east side of the park is green.",
"The middle bench on the west side of the park is pink."
] | 0 |
Eight benches—J, K, L, T, U, X, Y, and Z are arranged along the perimeter of a park as shown below: The following is true: J, K, and L are green; T and U are red; X, Y, and Z are pink. The green benches stand next to one another along the park's perimeter. The pink benches stand next to one another along the park's per... | Which one of the following benches must be next to J? | [
"K",
"L",
"T",
"U",
"X"
] | 3 |
Eight benches—J, K, L, T, U, X, Y, and Z are arranged along the perimeter of a park as shown below: The following is true: J, K, and L are green; T and U are red; X, Y, and Z are pink. The green benches stand next to one another along the park's perimeter. The pink benches stand next to one another along the park's per... | For which one of the following benches are there two and no more than two locations either one of which could be the location the bench occupies? | [
"K",
"T",
"X",
"Y",
"Z"
] | 0 |
Eight benches—J, K, L, T, U, X, Y, and Z are arranged along the perimeter of a park as shown below: The following is true: J, K, and L are green; T and U are red; X, Y, and Z are pink. The green benches stand next to one another along the park's perimeter. The pink benches stand next to one another along the park's per... | If Z is directly north of Y, which one of the following statements must be true? | [
"J is directly west of K.",
"K is directly east of U.",
"U is directly north of X.",
"X is directly south of J.",
"Z is directly south of J."
] | 3 |
Eight benches—J, K, L, T, U, X, Y, and Z are arranged along the perimeter of a park as shown below: The following is true: J, K, and L are green; T and U are red; X, Y, and Z are pink. The green benches stand next to one another along the park's perimeter. The pink benches stand next to one another along the park's per... | If Y is in the middle of the west side of the park, then the two benches in which one of the following pairs CANNOT be two of the corner benches? | [
"K and X",
"K and Z",
"L and U",
"L and X",
"L and Z"
] | 1 |
Eight benches—J, K, L, T, U, X, Y, and Z are arranged along the perimeter of a park as shown below: The following is true: J, K, and L are green; T and U are red; X, Y, and Z are pink. The green benches stand next to one another along the park's perimeter. The pink benches stand next to one another along the park's per... | If Y is farther south than L and farther north than T, then the benches in each of the following pairs must be next to each other EXCEPT | [
"J and L",
"K and T",
"T and X",
"U and Y",
"X and Z"
] | 2 |
A lake contains exactly five islands—J, K, L, M, O—which are unconnected by bridges. Contractors will build a network of bridges that satisfies the following specifications: Each bridge directly connects exactly two islands with each other, and no two bridges intersect. No more than one bridge directly connects any two... | Which one of the following is a complete and accurate list of the islands any one of which could be directly connected by bridge with L ? | [
"J, K",
"J, M",
"J, O",
"J, M, O",
"J, K, M, O"
] | 3 |
A lake contains exactly five islands—J, K, L, M, O—which are unconnected by bridges. Contractors will build a network of bridges that satisfies the following specifications: Each bridge directly connects exactly two islands with each other, and no two bridges intersect. No more than one bridge directly connects any two... | Which one of the following could be true about the completed network of bridges? | [
"J is directly connected by bridge both with L and with M.",
"K is directly connected by bridge both with M and with O.",
"L is directly connected by bridge both with J and with M.",
"M is directly connected by bridge with J, with K, and with L.",
"O is directly connected by bridge with K, with L, and with ... | 2 |
A lake contains exactly five islands—J, K, L, M, O—which are unconnected by bridges. Contractors will build a network of bridges that satisfies the following specifications: Each bridge directly connects exactly two islands with each other, and no two bridges intersect. No more than one bridge directly connects any two... | If a bridge directly connects K with O, then which one of the following could be true? | [
"No bridge directly connects L with M.",
"A bridge directly connects J with L.",
"A bridge directly connects L with O.",
"There are exactly three bridges directly connecting L with other islands.",
"There are exactly two bridges directly connecting O with other islands."
] | 1 |
A lake contains exactly five islands—J, K, L, M, O—which are unconnected by bridges. Contractors will build a network of bridges that satisfies the following specifications: Each bridge directly connects exactly two islands with each other, and no two bridges intersect. No more than one bridge directly connects any two... | If a bridge directly connects L with M and a bridge directly connects L with O, then which one of the following must be true? | [
"A bridge directly connects J with M.",
"A bridge directly connects K with M.",
"A bridge directly connects K with O.",
"There are exactly two bridges directly connecting L with other islands.",
"There are exactly two bridges directly connecting M with other islands."
] | 1 |
A lake contains exactly five islands—J, K, L, M, O—which are unconnected by bridges. Contractors will build a network of bridges that satisfies the following specifications: Each bridge directly connects exactly two islands with each other, and no two bridges intersect. No more than one bridge directly connects any two... | If no island that is directly connected by bridge with M is also directly connected by bridge with O, then there must be a bridge directly connecting | [
"J with L",
"J with M",
"K with O",
"L with M",
"L with O"
] | 0 |
Each of five students—Hubert, Lori, Paul, Regina, and Sharon—will visit exactly one of three cities—Montreal, Toronto, or Vancouver—for the month of March, according to the following conditions: Sharon visits a different city than Paul. Hubert visits the same city as Regina. Lori visits Montreal or else Toronto. If Pau... | Which one of the following could be true for March? | [
"Hubert, Lori, and Paul visit Toronto, and Regina and Sharon visit Vancouver.",
"Hubert, Lori, Paul, and Regina visit Montreal, and Sharon visits Vancouver.",
"Hubert, Paul, and Regina visit Toronto, and Lori and Sharon visit Montreal.",
"Hubert, Regina, and Sharon visit Montreal, and Lori and Paul visit Vanc... | 2 |
Each of five students—Hubert, Lori, Paul, Regina, and Sharon—will visit exactly one of three cities—Montreal, Toronto, or Vancouver—for the month of March, according to the following conditions: Sharon visits a different city than Paul. Hubert visits the same city as Regina. Lori visits Montreal or else Toronto. If Pau... | If Hubert and Sharon visit a city together, which one of the following could be true in March? | [
"Hubert visits the same city as Paul.",
"Lori visits the same city as Regina.",
"Paul visits the same city as Regina.",
"Paul visits Toronto.",
"Paul visits Vancouver."
] | 3 |
Each of five students—Hubert, Lori, Paul, Regina, and Sharon—will visit exactly one of three cities—Montreal, Toronto, or Vancouver—for the month of March, according to the following conditions: Sharon visits a different city than Paul. Hubert visits the same city as Regina. Lori visits Montreal or else Toronto. If Pau... | If Sharon visits Vancouver, which one of the following must be true for March? | [
"Hubert visits Montreal.",
"Lori visits Montreal.",
"Paul visits Toronto.",
"Lori visits the same city as Paul.",
"Lori visits the same city as Regina."
] | 3 |
Each of five students—Hubert, Lori, Paul, Regina, and Sharon—will visit exactly one of three cities—Montreal, Toronto, or Vancouver—for the month of March, according to the following conditions: Sharon visits a different city than Paul. Hubert visits the same city as Regina. Lori visits Montreal or else Toronto. If Pau... | Which one of the following could be false in March? | [
"Sharon must visit Montreal if Paul visits Vancouver.",
"Regina must visit Vancouver if Paul visits Vancouver.",
"Regina visits a city with exactly two of the other four students.",
"Lori visits a city with exactly one of the other four students.",
"Lori visits a city with Paul or else with Sharon."
] | 0 |
Each of five students—Hubert, Lori, Paul, Regina, and Sharon—will visit exactly one of three cities—Montreal, Toronto, or Vancouver—for the month of March, according to the following conditions: Sharon visits a different city than Paul. Hubert visits the same city as Regina. Lori visits Montreal or else Toronto. If Pau... | If Regina visits Toronto, which one of the following could be true in March? | [
"Lori visits Toronto.",
"Lori visits Vancouver.",
"Paul visits Toronto.",
"Paul visits Vancouver.",
"Sharon visits Vancouver."
] | 2 |
Each of five students—Hubert, Lori, Paul, Regina, and Sharon—will visit exactly one of three cities—Montreal, Toronto, or Vancouver—for the month of March, according to the following conditions: Sharon visits a different city than Paul. Hubert visits the same city as Regina. Lori visits Montreal or else Toronto. If Pau... | Which one of the following must be true for March? | [
"If any of the students visits Montreal, Lori visits Montreal.",
"If any of the students visits Montreal, exactly two of them do.",
"If any of the students visits Toronto, exactly three of them do.",
"If any of the students visits Vancouver, Paul visits Vancouver.",
"If any of the students visits Vancouver,... | 4 |
A college offers one course in each of three subjects—mathematics, nutrition, and oceanography—in the fall and again in the spring. Students' book orders for these course offerings are kept in six folders, numbered 1 through 6, from which labels identifying the folders' contents are missing. The following is known: Eac... | Which one of the following could be the list of the contents of the folders, in order from folder 1 to folder 6 ? | [
"fall mathematics, spring mathematics, fall oceanography, fall nutrition, spring nutrition, spring oceanography",
"fall oceanography, spring nutrition, fall nutrition, fall mathematics, spring mathematics, spring oceanography",
"spring mathematics, fall mathematics, spring nutrition, fall oceanography, fall nut... | 3 |
A college offers one course in each of three subjects—mathematics, nutrition, and oceanography—in the fall and again in the spring. Students' book orders for these course offerings are kept in six folders, numbered 1 through 6, from which labels identifying the folders' contents are missing. The following is known: Eac... | Which one of the following statements must be false? | [
"The spring mathematics orders are in folder 3.",
"The fall nutrition orders are in folder 3.",
"The spring oceanography orders are in folder 1.",
"The spring nutrition orders are in folder 6.",
"The fall oceanography orders are in folder 5."
] | 0 |
A college offers one course in each of three subjects—mathematics, nutrition, and oceanography—in the fall and again in the spring. Students' book orders for these course offerings are kept in six folders, numbered 1 through 6, from which labels identifying the folders' contents are missing. The following is known: Eac... | If the fall oceanography orders are in folder 2, then which one of the following statements could be true? | [
"The spring mathematics orders are in folder 4.",
"The spring mathematics orders are in folder 6.",
"The fall nutrition orders are in folder 1.",
"The spring nutrition orders are in neither folder 3 nor folder 6.",
"Neither the spring nor the fall nutrition orders are in folder 3."
] | 1 |
A college offers one course in each of three subjects—mathematics, nutrition, and oceanography—in the fall and again in the spring. Students' book orders for these course offerings are kept in six folders, numbered 1 through 6, from which labels identifying the folders' contents are missing. The following is known: Eac... | Which one of the following statements could be true? | [
"The spring mathematics orders are in folder 1.",
"The fall oceanography orders are in folder 1.",
"The fall nutrition orders are in folder 4, and the fall oceanography orders are in folder 6.",
"The fall oceanography orders are in folder 2, and the spring oceanography orders are in folder 1.",
"The spring ... | 3 |
A college offers one course in each of three subjects—mathematics, nutrition, and oceanography—in the fall and again in the spring. Students' book orders for these course offerings are kept in six folders, numbered 1 through 6, from which labels identifying the folders' contents are missing. The following is known: Eac... | If the fall oceanography orders are in folder 2, then for exactly how many of the remaining five folders can it be deduced which course offering's orders are in that folder? | [
"one",
"two",
"three",
"four",
"five"
] | 1 |
A college offers one course in each of three subjects—mathematics, nutrition, and oceanography—in the fall and again in the spring. Students' book orders for these course offerings are kept in six folders, numbered 1 through 6, from which labels identifying the folders' contents are missing. The following is known: Eac... | Which one of the following lists a pair of folders that must together contain orders for two different subjects? | [
"3 and 5",
"4 and 5",
"3 and 6",
"4 and 6",
"5 and 6"
] | 4 |
A college offers one course in each of three subjects—mathematics, nutrition, and oceanography—in the fall and again in the spring. Students' book orders for these course offerings are kept in six folders, numbered 1 through 6, from which labels identifying the folders' contents are missing. The following is known: Eac... | Which one of the following could be true? | [
"The fall mathematics and spring oceanography orders are in folders with consecutive numbers.",
"Folder 5 contains the orders for a spring course in a subject other than mathematics.",
"Folder 6 contains the orders for a subject other than nutrition.",
"The mathematics orders are in folders 1 and 4.",
"The ... | 2 |
Greenburg has exactly five subway lines: Ll, L2, L3, L4, and L5. Along each of the lines, trains run in both directions, stopping at every station. Ll runs in a loop connecting exactly seven stations, their order being Rincon-Tonka-French-Semplain-Urstine-Quetzal-Park-Rincon in one direction of travel, and the reverse ... | How many different stations are there that a traveler starting at Rincon could reach by using the subway lines without making any intermediate stops? | [
"two",
"three",
"four",
"five",
"six"
] | 2 |
Greenburg has exactly five subway lines: Ll, L2, L3, L4, and L5. Along each of the lines, trains run in both directions, stopping at every station. Ll runs in a loop connecting exactly seven stations, their order being Rincon-Tonka-French-Semplain-Urstine-Quetzal-Park-Rincon in one direction of travel, and the reverse ... | In order to go from Greene to Semplain taking the fewest possible subway lines and making the fewest possible stops, a traveler must make a stop at | [
"French",
"Park",
"Quetzal",
"Rincon",
"Tonka"
] | 2 |
Greenburg has exactly five subway lines: Ll, L2, L3, L4, and L5. Along each of the lines, trains run in both directions, stopping at every station. Ll runs in a loop connecting exactly seven stations, their order being Rincon-Tonka-French-Semplain-Urstine-Quetzal-Park-Rincon in one direction of travel, and the reverse ... | If L3 is not running and a traveler goes by subway from Urstine to Rincon making the fewest possible stops, which one of the following lists all of the intermediate stations in sequence along one of the routes that the traveler could take? | [
"Quetzal, Tonka",
"Semplain, French",
"Semplain, Park",
"Quetzal, Park, Greene",
"Semplain, French, Tonka"
] | 0 |
Greenburg has exactly five subway lines: Ll, L2, L3, L4, and L5. Along each of the lines, trains run in both directions, stopping at every station. Ll runs in a loop connecting exactly seven stations, their order being Rincon-Tonka-French-Semplain-Urstine-Quetzal-Park-Rincon in one direction of travel, and the reverse ... | In order to go by subway from French to Greene, the minimum number of intermediate stops a traveler must make is | [
"zero",
"one",
"two",
"three",
"four"
] | 2 |
Greenburg has exactly five subway lines: Ll, L2, L3, L4, and L5. Along each of the lines, trains run in both directions, stopping at every station. Ll runs in a loop connecting exactly seven stations, their order being Rincon-Tonka-French-Semplain-Urstine-Quetzal-Park-Rincon in one direction of travel, and the reverse ... | If the tracks that directly connect Urstine and Quetzal are blocked in both directions, a traveler going from Semplain to Park and making the fewest possible intermediate stops must pass through | [
"French or Tonka",
"Greene or Urstine",
"Quetzal or Tonka",
"Quetzal or Urstine or both",
"Rincon or Tonka or both"
] | 4 |
Greenburg has exactly five subway lines: Ll, L2, L3, L4, and L5. Along each of the lines, trains run in both directions, stopping at every station. Ll runs in a loop connecting exactly seven stations, their order being Rincon-Tonka-French-Semplain-Urstine-Quetzal-Park-Rincon in one direction of travel, and the reverse ... | If a sixth subway line is to be constructed so that all of the stations would have two or more lines reaching them, the stations connected by the new subway line must include at least | [
"French, Greene, and Park",
"French, Greene, and Quetzal",
"French, Greene, and Rincon",
"Park, Tonka, and Urstine",
"Park, Semplain, and Tonka"
] | 0 |
Prior to this year's annual promotion review, the staff of a law firm consisted of partners Harrison and Rafael, associate Olivos, and assistants Ganz, Johnson, Lowry, Stefano, Turner, and Wilford. During each annual review, each assistant and associate is considered for promotion to the next higher rank, and at least ... | Which one of the following could be the distribution of staff resulting from this year's review? | [
"Partner: Harrison, Olivos, Rafael. Associate: Ganz, Johnson, Lowry. Assistance: Stefano, Turner, Wilford",
"Partner: Harrison, Rafael. Associate: Lowry, Olivos, Stefano. Assistance: Ganz, Johnson, Turner, Wilford",
"Partner: Harrison, Olivos, Rafael, Stefano. Associate: Ganz, Lowry, Turner, Wilford. Assistance... | 4 |
Prior to this year's annual promotion review, the staff of a law firm consisted of partners Harrison and Rafael, associate Olivos, and assistants Ganz, Johnson, Lowry, Stefano, Turner, and Wilford. During each annual review, each assistant and associate is considered for promotion to the next higher rank, and at least ... | If Rafael votes for promoting only Ganz, Olivos, and Wilford, and if Harrison votes for promoting only Lowry, Olivos, and Stefano, then which one of the following could be the complete roster of associates resulting from this year's review? | [
"Ganz, Lowry, Wilford",
"Johnson, Lowry, Stefano",
"Lowry, Stefano, Turner",
"Lowry, Stefano, Wilford",
"Olivos, Turner, Wilford"
] | 3 |
Prior to this year's annual promotion review, the staff of a law firm consisted of partners Harrison and Rafael, associate Olivos, and assistants Ganz, Johnson, Lowry, Stefano, Turner, and Wilford. During each annual review, each assistant and associate is considered for promotion to the next higher rank, and at least ... | If Johnson is to be promoted to associate during next year's review, which one of the following is the smallest number of assistants who must be promoted during this year's review? | [
"one",
"two",
"three",
"four",
"five"
] | 1 |
Prior to this year's annual promotion review, the staff of a law firm consisted of partners Harrison and Rafael, associate Olivos, and assistants Ganz, Johnson, Lowry, Stefano, Turner, and Wilford. During each annual review, each assistant and associate is considered for promotion to the next higher rank, and at least ... | Which one of the following must be true after next year's review? | [
"Lowry is an assistant.",
"Wilford is a partner.",
"There are no assistants.",
"There are at least two assistants.",
"There are no more than four assistants."
] | 4 |
Prior to this year's annual promotion review, the staff of a law firm consisted of partners Harrison and Rafael, associate Olivos, and assistants Ganz, Johnson, Lowry, Stefano, Turner, and Wilford. During each annual review, each assistant and associate is considered for promotion to the next higher rank, and at least ... | What is the smallest possible number of associates in the firm immediately after next year's review? | [
"none",
"one",
"two",
"three",
"four"
] | 1 |
Seven consecutive time slots for a broadcast, numbered in chronological order 1 through 7, will be filled by six song tapes—G, H, L, O, P, S—and exactly one news tape. Each tape is to be assigned to a different time slot, and no tape is longer than any other tape. The broadcast is subject to the following restrictions:... | If G is played second, which one of the following tapes must be played third? | [
"the news",
"H",
"L",
"O",
"S"
] | 2 |
Seven consecutive time slots for a broadcast, numbered in chronological order 1 through 7, will be filled by six song tapes—G, H, L, O, P, S—and exactly one news tape. Each tape is to be assigned to a different time slot, and no tape is longer than any other tape. The broadcast is subject to the following restrictions:... | The news tape can be played in any one of the following time slots EXCEPT the | [
"second",
"third",
"fourth",
"fifth",
"sixth"
] | 0 |
Seven consecutive time slots for a broadcast, numbered in chronological order 1 through 7, will be filled by six song tapes—G, H, L, O, P, S—and exactly one news tape. Each tape is to be assigned to a different time slot, and no tape is longer than any other tape. The broadcast is subject to the following restrictions:... | If H and S are to be scheduled as far from each other as possible, then the first, the second, and the third time slots could be filled, respectively, by | [
"G, H, and L",
"S, G, and the news",
"H, G, and L",
"H, L, and O",
"L, O, and S"
] | 2 |
Seven consecutive time slots for a broadcast, numbered in chronological order 1 through 7, will be filled by six song tapes—G, H, L, O, P, S—and exactly one news tape. Each tape is to be assigned to a different time slot, and no tape is longer than any other tape. The broadcast is subject to the following restrictions:... | If P is played fifth, L must be played | [
"first",
"second",
"third",
"fourth",
"sixth"
] | 2 |
Seven consecutive time slots for a broadcast, numbered in chronological order 1 through 7, will be filled by six song tapes—G, H, L, O, P, S—and exactly one news tape. Each tape is to be assigned to a different time slot, and no tape is longer than any other tape. The broadcast is subject to the following restrictions:... | What is the maximum number of tapes that can separate S from the news? | [
"1",
"2",
"3",
"4",
"5"
] | 4 |
Seven consecutive time slots for a broadcast, numbered in chronological order 1 through 7, will be filled by six song tapes—G, H, L, O, P, S—and exactly one news tape. Each tape is to be assigned to a different time slot, and no tape is longer than any other tape. The broadcast is subject to the following restrictions:... | Which one of the following is the latest time slot in which L can be played? | [
"the third",
"the fourth",
"the fifth",
"the sixth",
"the seventh"
] | 2 |
Seven consecutive time slots for a broadcast, numbered in chronological order 1 through 7, will be filled by six song tapes—G, H, L, O, P, S—and exactly one news tape. Each tape is to be assigned to a different time slot, and no tape is longer than any other tape. The broadcast is subject to the following restrictions:... | The time slot in which O must be played is completely determined if G is assigned to which one of the following time slots? | [
"the first",
"the third",
"the fourth",
"the fifth",
"the sixth"
] | 3 |
Doctor Yamata works only on Mondays, Tuesdays, Wednesdays, Fridays, and Saturdays. She performs four different activities—lecturing, operating, treating patients, and conducting research. Each working day she performs exactly one activity in the morning and exactly one activity in the afternoon. During each week her wo... | Which one of the following must be a day on which Doctor Yamata lectures? | [
"Monday",
"Tuesday",
"Wednesday",
"Friday",
"Saturday"
] | 1 |
Doctor Yamata works only on Mondays, Tuesdays, Wednesdays, Fridays, and Saturdays. She performs four different activities—lecturing, operating, treating patients, and conducting research. Each working day she performs exactly one activity in the morning and exactly one activity in the afternoon. During each week her wo... | On Wednesday Doctor Yamata could be scheduled to | [
"conduct research in the morning and operate in the afternoon",
"lecture in the morning and treat patients in the afternoon",
"operate in the morning and lecture in the afternoon",
"operate in the morning and conduct research in the afternoon",
"treat patients in the morning and treat patients in the aftern... | 2 |
Doctor Yamata works only on Mondays, Tuesdays, Wednesdays, Fridays, and Saturdays. She performs four different activities—lecturing, operating, treating patients, and conducting research. Each working day she performs exactly one activity in the morning and exactly one activity in the afternoon. During each week her wo... | Which one of the following statements must be true? | [
"There is one day on which the doctor treats patients both in the morning and in the afternoon.",
"The doctor conducts research on one of the days on which she lectures.",
"The doctor conducts research on one of the days on which she treats patients.",
"The doctor lectures on one of the days on which she trea... | 4 |
Doctor Yamata works only on Mondays, Tuesdays, Wednesdays, Fridays, and Saturdays. She performs four different activities—lecturing, operating, treating patients, and conducting research. Each working day she performs exactly one activity in the morning and exactly one activity in the afternoon. During each week her wo... | If Doctor Yamata operates on Tuesday, then her schedule for treating patients could be | [
"Monday morning, Monday afternoon, Friday morning, Friday afternoon",
"Monday morning, Friday afternoon, Saturday morning, Saturday afternoon",
"Monday afternoon, Wednesday morning, Wednesday afternoon, Saturday afternoon",
"Wednesday morning, Wednesday afternoon, Friday afternoon, Saturday afternoon",
"Wed... | 4 |
Doctor Yamata works only on Mondays, Tuesdays, Wednesdays, Fridays, and Saturdays. She performs four different activities—lecturing, operating, treating patients, and conducting research. Each working day she performs exactly one activity in the morning and exactly one activity in the afternoon. During each week her wo... | Which one of the following is a pair of days on both of which Doctor Yamata must treat patients? | [
"Monday and Tuesday",
"Monday and Saturday",
"Tuesday and Friday",
"Tuesday and Saturday",
"Friday and Saturday"
] | 4 |
Each of seven judges voted for or else against granting Datalog Corporation's petition. Each judge is categorized as conservative, moderate, or liberal, and no judge is assigned more than one of those labels. Two judges are conservatives, two are moderates, and three are liberals. The following is known about how the j... | If the two moderates did not vote the same way as each other, then which one of the following could be true? | [
"No conservative and exactly two liberals voted for Datalog.",
"Exactly one conservative and exactly one liberal voted for Datalog.",
"Exactly one conservative and all three liberals voted for Datalog.",
"Exactly two conservatives and exactly one liberal voted for Datalog.",
"Exactly two conservatives and e... | 1 |
Each of seven judges voted for or else against granting Datalog Corporation's petition. Each judge is categorized as conservative, moderate, or liberal, and no judge is assigned more than one of those labels. Two judges are conservatives, two are moderates, and three are liberals. The following is known about how the j... | Which one of the following must be true? | [
"At least one conservative voted for Datalog.",
"At least one liberal voted against Datalog.",
"At least one liberal voted for Datalog.",
"At least one moderate voted against Datalog.",
"At least one moderate voted for Datalog."
] | 2 |
Each of seven judges voted for or else against granting Datalog Corporation's petition. Each judge is categorized as conservative, moderate, or liberal, and no judge is assigned more than one of those labels. Two judges are conservatives, two are moderates, and three are liberals. The following is known about how the j... | If the three liberals all voted the same way as each other, which one of the following must be true? | [
"Both moderates voted for Datalog.",
"Both moderates voted against Datalog.",
"One conservative voted for Datalog and one conservative voted against Datalog.",
"One moderate voted for Datalog and one moderate voted against Datalog.",
"All three liberals voted for Datalog."
] | 4 |
Each of seven judges voted for or else against granting Datalog Corporation's petition. Each judge is categorized as conservative, moderate, or liberal, and no judge is assigned more than one of those labels. Two judges are conservatives, two are moderates, and three are liberals. The following is known about how the j... | If exactly two judges voted against Datalog, then which one of the following must be true? | [
"Both moderates voted for Datalog.",
"Exactly one conservative voted for Datalog.",
"No conservative voted for Datalog.",
"Exactly two liberals voted for Datalog.",
"Exactly three liberals voted for Datalog."
] | 0 |
Each of seven judges voted for or else against granting Datalog Corporation's petition. Each judge is categorized as conservative, moderate, or liberal, and no judge is assigned more than one of those labels. Two judges are conservatives, two are moderates, and three are liberals. The following is known about how the j... | Each of the following could be a complete and accurate list of those judges who voted for Datalog EXCEPT | [
"two liberals",
"one conservative, one liberal",
"two moderates, three liberals",
"one conservative, two moderates, two liberals",
"one conservative, two moderates, three liberals"
] | 4 |
Each of seven judges voted for or else against granting Datalog Corporation's petition. Each judge is categorized as conservative, moderate, or liberal, and no judge is assigned more than one of those labels. Two judges are conservatives, two are moderates, and three are liberals. The following is known about how the j... | If the two conservatives voted the same way as each other, but the liberals did not all vote the same way as each other, then each of the following must be true EXCEPT: | [
"Both conservatives voted against Datalog.",
"Both moderates voted for Datalog.",
"At least one liberal voted against Datalog.",
"Exactly two liberals voted for Datalog.",
"Exactly five of the judges voted against Datalog."
] | 1 |
An official is assigning five runners—Larry, Ned, Olivia, Patricia, and Sonja—to parallel lanes numbered consecutively 1 through 5. The official will also assign each runner to represent a different charity—F, G, H, J, and K—not necessarily in order of the runner's names as given. The following ordering restrictions ap... | Which one of the following is a possible assignment of runners to lanes by the charity they represent? | [
"F G H K J",
"G H J K F",
"G K F J H",
"H J G K F",
"J H F K G"
] | 4 |
An official is assigning five runners—Larry, Ned, Olivia, Patricia, and Sonja—to parallel lanes numbered consecutively 1 through 5. The official will also assign each runner to represent a different charity—F, G, H, J, and K—not necessarily in order of the runner's names as given. The following ordering restrictions ap... | The lane to which Patricia is assigned must be a lane that is | [
"next to the lane to which Larry is assigned",
"next to the lane to which Ned is assigned",
"separated by exactly one lane from the lane to which Ned is assigned",
"separated by exactly one lane from the lane to which Olivia is assigned",
"separated by exactly one lane from the lane to which Sonja is assign... | 3 |
An official is assigning five runners—Larry, Ned, Olivia, Patricia, and Sonja—to parallel lanes numbered consecutively 1 through 5. The official will also assign each runner to represent a different charity—F, G, H, J, and K—not necessarily in order of the runner's names as given. The following ordering restrictions ap... | If Olivia is assigned to lane 2, which one of the following assignments must be made? Charity Lane | [
"F 1",
"G 5",
"H 1",
"H 3",
"J 5"
] | 1 |
An official is assigning five runners—Larry, Ned, Olivia, Patricia, and Sonja—to parallel lanes numbered consecutively 1 through 5. The official will also assign each runner to represent a different charity—F, G, H, J, and K—not necessarily in order of the runner's names as given. The following ordering restrictions ap... | Which one of the following, is a complete and accurate list of runners each of whom could be the runner representing F? | [
"Larry, Ned",
"Patricia, Sonja",
"Larry, Ned, Olivia",
"Larry, Ned, Sonja",
"Ned, Patricia, Sonja"
] | 3 |
An official is assigning five runners—Larry, Ned, Olivia, Patricia, and Sonja—to parallel lanes numbered consecutively 1 through 5. The official will also assign each runner to represent a different charity—F, G, H, J, and K—not necessarily in order of the runner's names as given. The following ordering restrictions ap... | If Ned is the runner representing J, then it must be true that | [
"the runner representing G is assigned to lane 1",
"the runner representing H is assigned to lane 2",
"Larry is the runner representing K",
"Olivia is the runner representing F",
"Patricia is the runner representing H"
] | 1 |
An official is assigning five runners—Larry, Ned, Olivia, Patricia, and Sonja—to parallel lanes numbered consecutively 1 through 5. The official will also assign each runner to represent a different charity—F, G, H, J, and K—not necessarily in order of the runner's names as given. The following ordering restrictions ap... | If Larry represents J, which one of the following could be the assignment of runners to lanes? | [
"Larry Olivia Ned Patricia Sonja",
"Larry Ned Olivia Sonja Patricia",
"Larry Sonja Patricia Ned Olivia",
"Ned Olivia Larry Patricia Sonja",
"Ned Sonja Olivia Patricia Larry"
] | 0 |
A gymnastics instructor is planning a weekly schedule, Monday through Friday, of individual coaching sessions for each of six students—H, I, K, O, U, and Z. The instructor will coach exactly one student each day, except for one day when the instructor will coach two students in separate but consecutive sessions. The fo... | Which one of the following is a pair of students whose sessions can both be scheduled for Tuesday, not necessarily in the order given? | [
"H and U",
"H and Z",
"K and O",
"O and U",
"U and Z"
] | 3 |
A gymnastics instructor is planning a weekly schedule, Monday through Friday, of individual coaching sessions for each of six students—H, I, K, O, U, and Z. The instructor will coach exactly one student each day, except for one day when the instructor will coach two students in separate but consecutive sessions. The fo... | If K's session is scheduled for Tuesday, then which one of the following is the earliest day for which Z's session can be scheduled? | [
"Monday",
"Tuesday",
"Wednesday",
"Thursday",
"Friday"
] | 1 |
A gymnastics instructor is planning a weekly schedule, Monday through Friday, of individual coaching sessions for each of six students—H, I, K, O, U, and Z. The instructor will coach exactly one student each day, except for one day when the instructor will coach two students in separate but consecutive sessions. The fo... | Which one of the following must be true? | [
"If U's session is scheduled for Monday, H's session is scheduled for Tuesday.",
"If U's session is scheduled for Tuesday, O's session is scheduled for Wednesday.",
"If U's session is scheduled for Wednesday, Z's session is scheduled for Tuesday.",
"If U's session is scheduled for Thursday, Z's session is sch... | 3 |
A gymnastics instructor is planning a weekly schedule, Monday through Friday, of individual coaching sessions for each of six students—H, I, K, O, U, and Z. The instructor will coach exactly one student each day, except for one day when the instructor will coach two students in separate but consecutive sessions. The fo... | Scheduling Z's session for which one of the following days determines the day for which U's session must be scheduled? | [
"Monday",
"Tuesday",
"Wednesday",
"Thursday",
"Friday"
] | 3 |
A gymnastics instructor is planning a weekly schedule, Monday through Friday, of individual coaching sessions for each of six students—H, I, K, O, U, and Z. The instructor will coach exactly one student each day, except for one day when the instructor will coach two students in separate but consecutive sessions. The fo... | If H's session is scheduled as the next session after U's session, which one of the following could be true about H's session and U's session? | [
"U's session is scheduled for Monday, and H's session is scheduled for Tuesday.",
"U's session is scheduled for Thursday, and H's session is scheduled for Friday.",
"They are both scheduled for Tuesday.",
"They are both scheduled for Thursday.",
"They are both scheduled for Friday."
] | 0 |
A square parking lot has exactly eight lights—numbered 1 through 8—situated along its perimeter as diagramed below. The lot must always be illuminated in such a way that the following specifications are met: At least one of any three consecutively numbered lights is off. Light 8 is on. Neither light 2 nor light 7 is on... | Which one of the following could be a complete and accurate list of lights that are on together? | [
"1, 3, 5, 7",
"2, 4, 6, 8",
"2, 3, 5, 6, 8",
"3, 4, 6, 7, 8",
"1, 2, 4, 5, 6, 8"
] | 2 |
A square parking lot has exactly eight lights—numbered 1 through 8—situated along its perimeter as diagramed below. The lot must always be illuminated in such a way that the following specifications are met: At least one of any three consecutively numbered lights is off. Light 8 is on. Neither light 2 nor light 7 is on... | Which one of the following lights must be on? | [
"light 2",
"light 3",
"light 4",
"light 5",
"light 6"
] | 1 |
A square parking lot has exactly eight lights—numbered 1 through 8—situated along its perimeter as diagramed below. The lot must always be illuminated in such a way that the following specifications are met: At least one of any three consecutively numbered lights is off. Light 8 is on. Neither light 2 nor light 7 is on... | If light 1 is off, which one of the following is a light that must also be off? | [
"light 3",
"light 4",
"light 5",
"light 6",
"light 7"
] | 1 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.