context stringclasses 268
values | id_string stringlengths 14 15 | answers listlengths 5 5 | label int64 0 4 | question stringlengths 18 356 |
|---|---|---|---|---|
At an evening concert, a total of six songs—O, P, T, X, Y, and Z—will be performed by three vocalists—George, Helen, and Leslie. The songs will be sung consecutively as solos, and each will be performed exactly once. The following constraints govern the composition of the concert program: Y must be performed earlier th... | 199610_3-G_4_21 | [
"O, P, Z",
"O, T, X",
"T, P, Z",
"T, X, Z",
"X, P, Z"
] | 3 | Which one of the following is a complete and accurate list of the songs any one of which could be the last song performed at the concert? |
At an evening concert, a total of six songs—O, P, T, X, Y, and Z—will be performed by three vocalists—George, Helen, and Leslie. The songs will be sung consecutively as solos, and each will be performed exactly once. The following constraints govern the composition of the concert program: Y must be performed earlier th... | 199610_3-G_4_22 | [
"X is performed by George.",
"X is performed by Helen.",
"P is the fourth song performed.",
"Y is the second song performed.",
"Y is the third song performed."
] | 3 | If X is performed first, which one of the following must be true? |
At an evening concert, a total of six songs—O, P, T, X, Y, and Z—will be performed by three vocalists—George, Helen, and Leslie. The songs will be sung consecutively as solos, and each will be performed exactly once. The following constraints govern the composition of the concert program: Y must be performed earlier th... | 199610_3-G_4_23 | [
"Y, O, P, T, Z, X",
"Y, T, O, P, X, Z",
"Y, X, O, P, Z, T",
"X, Y, O, P, Z, T",
"X, Y, O, T, P, Z"
] | 1 | Each of the following is an acceptable schedule for the performance of the songs, in order from the first to last song performed, EXCEPT: |
At an evening concert, a total of six songs—O, P, T, X, Y, and Z—will be performed by three vocalists—George, Helen, and Leslie. The songs will be sung consecutively as solos, and each will be performed exactly once. The following constraints govern the composition of the concert program: Y must be performed earlier th... | 199610_3-G_4_24 | [
"T, X, and O",
"T, Z, and O",
"X, O, and P",
"X, P, and Z",
"X, T, and O"
] | 2 | If Y is performed first, the songs performed second, third, and fourth, respectively, could be |
Seven students—fourth-year students Kim and Lee; third-year students Pat and Robin; and second-year students Sandy, Terry, and Val—and only those seven, are being assigned to rooms of equal size in a dormitory. Each room assigned must have either one, or two, or three students assigned to it, and will accordingly be ca... | 199612_1-G_1_1 | [
"two triples and one single",
"one triple and four singles",
"three doubles and a single",
"two doubles and three singles",
"one double and five singles"
] | 2 | Which one of the following is a combination of rooms to which the seven students could be assigned? |
Seven students—fourth-year students Kim and Lee; third-year students Pat and Robin; and second-year students Sandy, Terry, and Val—and only those seven, are being assigned to rooms of equal size in a dormitory. Each room assigned must have either one, or two, or three students assigned to it, and will accordingly be ca... | 199612_1-G_1_2 | [
"There is exactly one double that has a second-year student assigned to it.",
"Lee is assigned to a single.",
"Sandy, Pat and one other student are assigned to a triple together.",
"Exactly three of the rooms assigned to the students are singles.",
"Exactly two of the rooms assigned to the students are doub... | 1 | If the room assigned to Robin is a single, which one of the following could be true? |
Seven students—fourth-year students Kim and Lee; third-year students Pat and Robin; and second-year students Sandy, Terry, and Val—and only those seven, are being assigned to rooms of equal size in a dormitory. Each room assigned must have either one, or two, or three students assigned to it, and will accordingly be ca... | 199612_1-G_1_3 | [
"Lee is assigned to a single.",
"Pat shares a double with another student.",
"Robin shares a double with another student.",
"Two of the second-year students share a double with each other.",
"Neither of the third-year students is assigned to a single."
] | 1 | Which one of the following must be true? |
Seven students—fourth-year students Kim and Lee; third-year students Pat and Robin; and second-year students Sandy, Terry, and Val—and only those seven, are being assigned to rooms of equal size in a dormitory. Each room assigned must have either one, or two, or three students assigned to it, and will accordingly be ca... | 199612_1-G_1_4 | [
"Lee is assigned to a single.",
"Two second-year students share a double with each other.",
"None of the rooms assigned to the students is a single.",
"Two of the rooms assigned to the students are singles.",
"Three of the rooms assigned to the students are singles."
] | 2 | If Robin is assigned to a triple, which one of the following must be true? |
Seven students—fourth-year students Kim and Lee; third-year students Pat and Robin; and second-year students Sandy, Terry, and Val—and only those seven, are being assigned to rooms of equal size in a dormitory. Each room assigned must have either one, or two, or three students assigned to it, and will accordingly be ca... | 199612_1-G_1_5 | [
"one is a single",
"two are singles",
"two are doubles",
"one is a triple",
"two are triples"
] | 0 | If Terry and Val are assigned to different doubles from each other, then it must be true of the students' rooms that exactly |
Seven students—fourth-year students Kim and Lee; third-year students Pat and Robin; and second-year students Sandy, Terry, and Val—and only those seven, are being assigned to rooms of equal size in a dormitory. Each room assigned must have either one, or two, or three students assigned to it, and will accordingly be ca... | 199612_1-G_1_6 | [
"The two fourth-year students are assigned to singles.",
"The two fourth-year students share a double with each other.",
"Lee shares a room with a second-year student.",
"Lee shares a room with a third-year student",
"Pat shares a triple with two other students."
] | 2 | Which one of the following could be true? |
A worker will insert colored light bulbs into a billboard equipped with exactly three light sockets, which are labeled lights 1, 2, and 3. The worker has three green bulbs, three purple bulbs, and three yellow bulbs. Selection of bulbs for the sockets is governed by the following conditions: Whenever light 1 is purple,... | 199612_1-G_2_7 | [
"green, green, yellow",
"purple, green, green",
"purple, purple, green",
"yellow, purple, green",
"yellow, yellow, yellow"
] | 3 | Which one of the following could be an accurate list of the colors of light bulbs selected for lights 1, 2, and 3, respectively? |
A worker will insert colored light bulbs into a billboard equipped with exactly three light sockets, which are labeled lights 1, 2, and 3. The worker has three green bulbs, three purple bulbs, and three yellow bulbs. Selection of bulbs for the sockets is governed by the following conditions: Whenever light 1 is purple,... | 199612_1-G_2_8 | [
"Light 2 is green.",
"Light 2 is purple.",
"Light 3 is green.",
"Light 3 is purple.",
"Light 3 is yellow."
] | 0 | If light 1 is yellow, then any of the following can be true, EXCEPT: |
A worker will insert colored light bulbs into a billboard equipped with exactly three light sockets, which are labeled lights 1, 2, and 3. The worker has three green bulbs, three purple bulbs, and three yellow bulbs. Selection of bulbs for the sockets is governed by the following conditions: Whenever light 1 is purple,... | 199612_1-G_2_9 | [
"Light 1 is purple.",
"Light 2 is purple.",
"Light 2 is yellow.",
"Light 3 is purple.",
"Light 3 is yellow."
] | 0 | There is exactly one possible color sequence of the three lights if which one of the following is true? |
A worker will insert colored light bulbs into a billboard equipped with exactly three light sockets, which are labeled lights 1, 2, and 3. The worker has three green bulbs, three purple bulbs, and three yellow bulbs. Selection of bulbs for the sockets is governed by the following conditions: Whenever light 1 is purple,... | 199612_1-G_2_10 | [
"one",
"two",
"three",
"four",
"five"
] | 1 | If no green bulbs are selected, there are exactly how many possible different color sequences of the three lights? |
A worker will insert colored light bulbs into a billboard equipped with exactly three light sockets, which are labeled lights 1, 2, and 3. The worker has three green bulbs, three purple bulbs, and three yellow bulbs. Selection of bulbs for the sockets is governed by the following conditions: Whenever light 1 is purple,... | 199612_1-G_2_11 | [
"Light 1 is green, and light 2 is purple.",
"Light 1 is green, and light 2 is yellow.",
"Light 1 is purple, and light 3 is yellow.",
"Light 1 is yellow, and light 2 is green.",
"Light 1 is yellow, and light 3 is purple."
] | 0 | If no two lights are assigned light bulbs that are the same color as each other, then which one of the following could be true? |
An attorney is scheduling interviews with witnesses for a given week, Monday through Saturday. Two full consecutive days of the week must be reserved for interviewing hostile witnesses. In addition, nonhostile witnesses Q, R, U, X, Y, and Z will each be interviewed exactly once for a full morning or afternoon. The only... | 199612_1-G_3_12 | [
"Q with R, U, X, Y, Z",
"Q, U, R, X with Y, Z",
"U, X, Q, with R, X, Z",
"U, Y, Q with R, X, Z",
"X, Q with U, Z, R, Y"
] | 3 | Which one of the following is a sequence, from first to last, in which the nonhostile witnesses could be interviewed? |
An attorney is scheduling interviews with witnesses for a given week, Monday through Saturday. Two full consecutive days of the week must be reserved for interviewing hostile witnesses. In addition, nonhostile witnesses Q, R, U, X, Y, and Z will each be interviewed exactly once for a full morning or afternoon. The only... | 199612_1-G_3_13 | [
"Q, R, none",
"R, none, Y",
"U, none, X",
"U, Y, none",
"Y, Z, none"
] | 3 | Which one of the following is acceptable as a complete schedule of witnesses for Tuesday morning, Tuesday afternoon, and Wednesday morning, respectively? |
An attorney is scheduling interviews with witnesses for a given week, Monday through Saturday. Two full consecutive days of the week must be reserved for interviewing hostile witnesses. In addition, nonhostile witnesses Q, R, U, X, Y, and Z will each be interviewed exactly once for a full morning or afternoon. The only... | 199612_1-G_3_14 | [
"Monday",
"Tuesday",
"Wednesday",
"Friday",
"Saturday"
] | 1 | If Y is interviewed at some time after X, which one of the following must be a day reserved for interviewing hostile witnesses? |
An attorney is scheduling interviews with witnesses for a given week, Monday through Saturday. Two full consecutive days of the week must be reserved for interviewing hostile witnesses. In addition, nonhostile witnesses Q, R, U, X, Y, and Z will each be interviewed exactly once for a full morning or afternoon. The only... | 199612_1-G_3_15 | [
"Monday",
"Tuesday",
"Wednesday",
"Thursday",
"Friday"
] | 4 | If R is interviewed at some time after Y, which one of the following must be a day reserved for interviewing hostile witnesses? |
An attorney is scheduling interviews with witnesses for a given week, Monday through Saturday. Two full consecutive days of the week must be reserved for interviewing hostile witnesses. In addition, nonhostile witnesses Q, R, U, X, Y, and Z will each be interviewed exactly once for a full morning or afternoon. The only... | 199612_1-G_3_16 | [
"Q is interviewed on the same day as U.",
"R is interviewed on the same day as Y.",
"Y is interviewed at some time before U.",
"Y is interviewed at some time before Wednesday.",
"Z is interviewed at some time before Friday."
] | 4 | If on Wednesday afternoon and on Monday the attorney conducts no interviews, which one of the following must be true? |
An attorney is scheduling interviews with witnesses for a given week, Monday through Saturday. Two full consecutive days of the week must be reserved for interviewing hostile witnesses. In addition, nonhostile witnesses Q, R, U, X, Y, and Z will each be interviewed exactly once for a full morning or afternoon. The only... | 199612_1-G_3_17 | [
"Wednesday is a day reserved for interviewing hostile witnesses.",
"Friday is a day reserved for interviewing hostile witnesses.",
"R is interviewed on Thursday.",
"U is interviewed on Tuesday.",
"Y is interviewed at some time before Thursday."
] | 0 | If Z is interviewed on Saturday morning, which one of the following can be true? |
During a four-week period, each of seven previously unadvertised products—G, H, J, K, L, M, and O—will be advertised. A different pair of these products will be advertised each week. Exactly one of the products will be a member of two of these four pairs. The following constraints must be observed: J is not advertised ... | 199612_1-G_4_18 | [
"week 1: G, J; week 2: K, L; week 3: O, M; week 4: H, L",
"week l: H, K; week 2: J, G; week 3: O, L; week 4: M, K",
"week 1: H, K; week 2: J, M; week 3: O, L; week 4: G, M",
"week 1: H, L; week 2: J, M; week 3: O, G; week 4: K, L",
"week 1: K, M; week 2: H, J; week 3: O, G; week 4: L, M"
] | 1 | Which one of the following could be the schedule of advertisements? |
During a four-week period, each of seven previously unadvertised products—G, H, J, K, L, M, and O—will be advertised. A different pair of these products will be advertised each week. Exactly one of the products will be a member of two of these four pairs. The following constraints must be observed: J is not advertised ... | 199612_1-G_4_19 | [
"H and K",
"H and M",
"J and O",
"K and L",
"L and M"
] | 2 | Which one of the following is a pair of products that CANNOT be advertised during the same week as each other? |
During a four-week period, each of seven previously unadvertised products—G, H, J, K, L, M, and O—will be advertised. A different pair of these products will be advertised each week. Exactly one of the products will be a member of two of these four pairs. The following constraints must be observed: J is not advertised ... | 199612_1-G_4_20 | [
"G",
"J",
"K",
"L",
"M"
] | 1 | Which one of the following must be advertised during week 2? |
During a four-week period, each of seven previously unadvertised products—G, H, J, K, L, M, and O—will be advertised. A different pair of these products will be advertised each week. Exactly one of the products will be a member of two of these four pairs. The following constraints must be observed: J is not advertised ... | 199612_1-G_4_21 | [
"G",
"H",
"K",
"L",
"M"
] | 0 | Which one of the following CANNOT be the product that is advertised during two of the weeks? |
During a four-week period, each of seven previously unadvertised products—G, H, J, K, L, M, and O—will be advertised. A different pair of these products will be advertised each week. Exactly one of the products will be a member of two of these four pairs. The following constraints must be observed: J is not advertised ... | 199612_1-G_4_22 | [
"G",
"H",
"J",
"K",
"M"
] | 4 | If L is the product that is advertised during two of the weeks, which one of the following is a product that must be advertised during one of the weeks in which L is advertised? |
During a four-week period, each of seven previously unadvertised products—G, H, J, K, L, M, and O—will be advertised. A different pair of these products will be advertised each week. Exactly one of the products will be a member of two of these four pairs. The following constraints must be observed: J is not advertised ... | 199612_1-G_4_23 | [
"H",
"J",
"K",
"L",
"O"
] | 3 | Which one of the following is a product that could be advertised in any of the four weeks? |
During a four-week period, each of seven previously unadvertised products—G, H, J, K, L, M, and O—will be advertised. A different pair of these products will be advertised each week. Exactly one of the products will be a member of two of these four pairs. The following constraints must be observed: J is not advertised ... | 199612_1-G_4_24 | [
"G and H",
"H and J",
"H and O",
"K and O",
"M and O"
] | 4 | Which one of the following is a pair of products that could be advertised during the same week as each other? |
An upholsterer will do seven jobs—N, O, P, S, T, U, and X—during a given week on Monday through Friday. Each job is done on exactly one of the days, and no two jobs are done concurrently. Each job takes either one half day or an entire day. The following conditions apply: N is done on the same day as S. X is done on We... | 199702_4-G_1_1 | [
"N, S P X O, U T",
"O N, S X P U",
"P U X N, S O, T",
"S N, P X U O, T",
"U N, S X O P, T"
] | 4 | Which one of the following is an acceptable schedule for the seven jobs? Mon. Tues. Wed. Thurs. Fri. |
An upholsterer will do seven jobs—N, O, P, S, T, U, and X—during a given week on Monday through Friday. Each job is done on exactly one of the days, and no two jobs are done concurrently. Each job takes either one half day or an entire day. The following conditions apply: N is done on the same day as S. X is done on We... | 199702_4-G_1_2 | [
"P, U",
"T, X",
"N, P, S",
"N, S, X",
"T, U, X"
] | 1 | Which one of the following is a complete and accurate list of those jobs each of which CANNOT be done on Tuesday? |
An upholsterer will do seven jobs—N, O, P, S, T, U, and X—during a given week on Monday through Friday. Each job is done on exactly one of the days, and no two jobs are done concurrently. Each job takes either one half day or an entire day. The following conditions apply: N is done on the same day as S. X is done on We... | 199702_4-G_1_3 | [
"Monday, but on no other day",
"Thursday, but on no other day",
"Monday or else on Tuesday, but on no other day",
"Tuesday or else on Wednesday, but on no other day",
"Wednesday or else on Thursday, but on no other day"
] | 2 | If O is done on Thursday, N could be done on |
An upholsterer will do seven jobs—N, O, P, S, T, U, and X—during a given week on Monday through Friday. Each job is done on exactly one of the days, and no two jobs are done concurrently. Each job takes either one half day or an entire day. The following conditions apply: N is done on the same day as S. X is done on We... | 199702_4-G_1_4 | [
"N is done on Monday.",
"O is done on Tuesday.",
"P is done on Friday.",
"O is done on the same day as P.",
"O is done on the same day as T."
] | 2 | Which one of the following must be true if the upholsterer does two jobs on Thursday and two jobs on Friday? |
An upholsterer will do seven jobs—N, O, P, S, T, U, and X—during a given week on Monday through Friday. Each job is done on exactly one of the days, and no two jobs are done concurrently. Each job takes either one half day or an entire day. The following conditions apply: N is done on the same day as S. X is done on We... | 199702_4-G_1_5 | [
"N is done on Monday or else on Thursday.",
"O is done on Wednesday or else on Thursday.",
"S is done on Monday or else on Thursday.",
"P is done on the same day as O.",
"O is done on the same day as either P or T."
] | 4 | If P is not done on Friday, which one of the following must be true? |
An upholsterer will do seven jobs—N, O, P, S, T, U, and X—during a given week on Monday through Friday. Each job is done on exactly one of the days, and no two jobs are done concurrently. Each job takes either one half day or an entire day. The following conditions apply: N is done on the same day as S. X is done on We... | 199702_4-G_1_6 | [
"N is done on Tuesday.",
"P is done on Thursday.",
"P is done on Friday.",
"S is done on Thursday.",
"U is done on Friday."
] | 2 | If O is done on Monday, which one of the following must be true? |
Seven persons—G, H, I, K, L, M, and P—are going rock-climbing together. One person will be the organizer and not a member of any team. The remaining six will form three climbing teams, each consisting of two persons. No person can be on more than one team. The following conditions also apply: M and P cannot be on the s... | 199702_4-G_2_7 | [
"Team 1: G, H; Team 2: I, L; Team 3: M, P",
"Team 1: G, H; Team 2: L, P; Team 3: K, M",
"Team 1: G, I; Team 2: H, M; Team 3: L, P",
"Team 1: G, P; Team 2: I, L; Team 3: K, M",
"Team 1: H, M; Team 2: I, L; Team 3: K, P"
] | 2 | Which one of the following can be a list of the members of the three teams? |
Seven persons—G, H, I, K, L, M, and P—are going rock-climbing together. One person will be the organizer and not a member of any team. The remaining six will form three climbing teams, each consisting of two persons. No person can be on more than one team. The following conditions also apply: M and P cannot be on the s... | 199702_4-G_2_8 | [
"H, I",
"H, M",
"I, M",
"I, P",
"L, P"
] | 0 | Each of the following is a pair of persons who can constitute a team EXCEPT: |
Seven persons—G, H, I, K, L, M, and P—are going rock-climbing together. One person will be the organizer and not a member of any team. The remaining six will form three climbing teams, each consisting of two persons. No person can be on more than one team. The following conditions also apply: M and P cannot be on the s... | 199702_4-G_2_9 | [
"G",
"H",
"I",
"L",
"P"
] | 1 | Which one of the following can be the organizer, who is not on any team? |
Seven persons—G, H, I, K, L, M, and P—are going rock-climbing together. One person will be the organizer and not a member of any team. The remaining six will form three climbing teams, each consisting of two persons. No person can be on more than one team. The following conditions also apply: M and P cannot be on the s... | 199702_4-G_2_10 | [
"K or L",
"K or P",
"L or M",
"L or P",
"M or P"
] | 4 | If G and I form a team and if H is a member of a team, then H must be on the same team as either |
Seven persons—G, H, I, K, L, M, and P—are going rock-climbing together. One person will be the organizer and not a member of any team. The remaining six will form three climbing teams, each consisting of two persons. No person can be on more than one team. The following conditions also apply: M and P cannot be on the s... | 199702_4-G_2_11 | [
"H is the organizer.",
"K is the organizer.",
"G is on the same team as H.",
"I is on the same team as M.",
"L is on the same team as P."
] | 4 | If L and M are on different teams, which one of the following must be true? |
Seven persons—G, H, I, K, L, M, and P—are going rock-climbing together. One person will be the organizer and not a member of any team. The remaining six will form three climbing teams, each consisting of two persons. No person can be on more than one team. The following conditions also apply: M and P cannot be on the s... | 199702_4-G_2_12 | [
"G, L, M",
"G, M, P",
"H, I, L",
"I, L, P",
"L, M, P"
] | 1 | Which one of the following lists three persons each of whom must be on a team and no two of whom can be on the same team as each other? |
Seven persons—G, H, I, K, L, M, and P—are going rock-climbing together. One person will be the organizer and not a member of any team. The remaining six will form three climbing teams, each consisting of two persons. No person can be on more than one team. The following conditions also apply: M and P cannot be on the s... | 199702_4-G_2_13 | [
"one",
"two",
"three",
"four",
"five"
] | 3 | There are how many different persons any one of whom could be paired with M to form a team? |
A train makes five trips around a loop through five stations—P, Q, R, S, and T, in that order—stopping at exactly three of the stations on each trip. The train must conform to the following conditions: The train stops at any given station on exactly three trips, but not on three consecutive trips. The train stops at an... | 199702_4-G_3_14 | [
"first trip: P, Q, S; second trip: P, Q, R",
"first trip: P, Q, T; second trip: Q, R, T",
"first trip: Q, R, S; second trip: P, Q, S",
"first trip: Q, S, T; second trip: P, R, S",
"first trip: R, S, T; second trip: P, R, T"
] | 3 | Which one of the following could be the list of stations at which the train stops on the first two trips? |
A train makes five trips around a loop through five stations—P, Q, R, S, and T, in that order—stopping at exactly three of the stations on each trip. The train must conform to the following conditions: The train stops at any given station on exactly three trips, but not on three consecutive trips. The train stops at an... | 199702_4-G_3_15 | [
"P, Q, R",
"P, Q, T",
"P, S, T",
"Q, R, T",
"Q, S, T"
] | 1 | If on the first and third trips the train is to stop at Q, R, and S, and at R, S, and T, respectively, which one of the following is the list of stations at which it must stop on the second trip? |
A train makes five trips around a loop through five stations—P, Q, R, S, and T, in that order—stopping at exactly three of the stations on each trip. The train must conform to the following conditions: The train stops at any given station on exactly three trips, but not on three consecutive trips. The train stops at an... | 199702_4-G_3_16 | [
"first and third trips",
"first and fourth trips",
"second and fourth trips",
"second and fifth trips",
"fourth and fifth trips"
] | 4 | The train CANNOT stop at both P and Q on both the |
A train makes five trips around a loop through five stations—P, Q, R, S, and T, in that order—stopping at exactly three of the stations on each trip. The train must conform to the following conditions: The train stops at any given station on exactly three trips, but not on three consecutive trips. The train stops at an... | 199702_4-G_3_17 | [
"stops at Q on the second trip",
"stops at R on the fifth trip",
"stops at T on the second trip",
"does not stop at P on the third trip",
"does not stop at T on the fifth trip"
] | 0 | If the train is to stop at Q, R, and T on the first trip and at Q, R, and S on the fourth trip, then it could be true that the train |
A train makes five trips around a loop through five stations—P, Q, R, S, and T, in that order—stopping at exactly three of the stations on each trip. The train must conform to the following conditions: The train stops at any given station on exactly three trips, but not on three consecutive trips. The train stops at an... | 199702_4-G_3_18 | [
"on the first trip, P for Q",
"on the second trip, R for S",
"on the second trip, T for S",
"on the third trip, P for R",
"on the third trip, P for S"
] | 2 | Suppose that the train's scheduler mistakenly scheduled the train to make the following stops on the first three trips: Q, R, and S on the first trip; P, Q, and S on the second trip; and R, S, and T on the third trip. Which one of the following is a substitution that results in a schedule for those three trips under wh... |
On a certain morning, each of six speakers—Feinberg, Guzman, Harrison, Jansen, Kim, and Mackey—will lecture for exactly one hour. Each lecture will take place in either the library or the studio, with exactly one speaker at a time lecturing in each of these two rooms. The lectures must be given in a manner consistent w... | 199702_4-G_4_19 | [
"Either Jansen or else Mackey lectures in the studio beginning at 8 A.M.",
"Either Harrison or else Mackey lectures in the studio beginning at 9 A.M.",
"Either Guzman or else Harrison lectures in the library beginning at 8 A.M.",
"Either Feinberg or else Guzman lectures in the library beginning at 9 A.M.",
... | 0 | Which one of the following must be true? |
On a certain morning, each of six speakers—Feinberg, Guzman, Harrison, Jansen, Kim, and Mackey—will lecture for exactly one hour. Each lecture will take place in either the library or the studio, with exactly one speaker at a time lecturing in each of these two rooms. The lectures must be given in a manner consistent w... | 199702_4-G_4_20 | [
"Guzman's lecture begins at 8 A.M.",
"Harrison's lecture begins at 10 A.M.",
"Jansen's lecture begins at 10 A.M.",
"Guzman lectures in the library.",
"Harrison lectures in the studio."
] | 3 | If both Kim's lecture and Mackey's lecture begin at 9 A.M. , which one of the following could be true? |
On a certain morning, each of six speakers—Feinberg, Guzman, Harrison, Jansen, Kim, and Mackey—will lecture for exactly one hour. Each lecture will take place in either the library or the studio, with exactly one speaker at a time lecturing in each of these two rooms. The lectures must be given in a manner consistent w... | 199702_4-G_4_21 | [
"Feinberg lectures in the library.",
"Guzman lectures in the studio.",
"Harrison lectures in the library.",
"Kim lectures in the studio.",
"Mackey lectures in the library."
] | 2 | If Harrison's lecture begins at 9 A.M. , which one of the following must be true? |
On a certain morning, each of six speakers—Feinberg, Guzman, Harrison, Jansen, Kim, and Mackey—will lecture for exactly one hour. Each lecture will take place in either the library or the studio, with exactly one speaker at a time lecturing in each of these two rooms. The lectures must be given in a manner consistent w... | 199702_4-G_4_22 | [
"Feinberg and Guzman",
"Feinberg and Kim",
"Guzman and Jansen",
"Guzman and Kim",
"Guzman and Mackey"
] | 3 | Each of the following is a pair of speakers whose lectures could begin at the same time as each other EXCEPT: |
On a certain morning, each of six speakers—Feinberg, Guzman, Harrison, Jansen, Kim, and Mackey—will lecture for exactly one hour. Each lecture will take place in either the library or the studio, with exactly one speaker at a time lecturing in each of these two rooms. The lectures must be given in a manner consistent w... | 199702_4-G_4_23 | [
"Guzman lectures in the studio beginning at 10 A.M.",
"Harrison lectures in the studio beginning at 8 A.M.",
"Jansen lectures in the studio beginning at 10 A.M.",
"Kim lectures in the studio beginning at 9 A.M.",
"Mackey lectures in the studio beginning at 9 A.M."
] | 2 | If Feinberg lectures in the library beginning at 9 A.M., which one of the following could be true? |
On a certain morning, each of six speakers—Feinberg, Guzman, Harrison, Jansen, Kim, and Mackey—will lecture for exactly one hour. Each lecture will take place in either the library or the studio, with exactly one speaker at a time lecturing in each of these two rooms. The lectures must be given in a manner consistent w... | 199702_4-G_4_24 | [
"Feinberg, Jansen, Mackey",
"Guzman, Kim, Mackey",
"Harrison, Jansen, Kim",
"Jansen, Mackey, Harrison",
"Mackey, Feinberg, Jansen"
] | 4 | Which one of the following could be a list of the speakers who give their lectures in the studio, in the order in which they give their lectures, from first to third, respectively? |
At a benefit dinner, a community theater's seven sponsors—K, L, M, P, Q, V, and Z—will be seated at three tables—1, 2, and 3. Of the sponsors, only K, L, and M will receive honors, and only M, P, and Q will give a speech. The sponsors' seating assignments must conform to the following conditions: Each table has at leas... | 199706_3-G_1_1 | [
"Table 1: K, P; Table 2: M, Q; Table 3: L, V, Z",
"Table 1: K, Q, Z; Table 2: L, V; Table 3: M, P",
"Table 1: L, P; Table 2: K, M; Table 3: Q, V, Z",
"Table 1: L, Q, V; Table 2: K, M; Table 3: P, Z",
"Table 1: L, V, Z; Table 2: K, M, P; Table 3: Q"
] | 3 | Which one of the following is an acceptable assignment of sponsors to tables? |
At a benefit dinner, a community theater's seven sponsors—K, L, M, P, Q, V, and Z—will be seated at three tables—1, 2, and 3. Of the sponsors, only K, L, and M will receive honors, and only M, P, and Q will give a speech. The sponsors' seating assignments must conform to the following conditions: Each table has at leas... | 199706_3-G_1_2 | [
"P, Q",
"Q, Z",
"P, Q, Z",
"Q, V, Z",
"P, Q, V, Z"
] | 2 | Which one of the following is a list of all and only those sponsors any one of whom could be among the sponsors assigned to table 3? |
At a benefit dinner, a community theater's seven sponsors—K, L, M, P, Q, V, and Z—will be seated at three tables—1, 2, and 3. Of the sponsors, only K, L, and M will receive honors, and only M, P, and Q will give a speech. The sponsors' seating assignments must conform to the following conditions: Each table has at leas... | 199706_3-G_1_3 | [
"K is seated at the same table as L.",
"L is seated at the same table as Q.",
"M is seated at the same table as V.",
"Exactly two sponsors are seated at table 1.",
"Exactly two sponsors are seated at table 3."
] | 4 | If K is assigned to a different table than M, which one of the following must be true of the seating assignment? |
At a benefit dinner, a community theater's seven sponsors—K, L, M, P, Q, V, and Z—will be seated at three tables—1, 2, and 3. Of the sponsors, only K, L, and M will receive honors, and only M, P, and Q will give a speech. The sponsors' seating assignments must conform to the following conditions: Each table has at leas... | 199706_3-G_1_4 | [
"K is seated at the same table as L.",
"K is seated at the same table as Q.",
"M is seated at the same table as V.",
"M is seated at the same table as Z.",
"P Is seated at the same table as Q."
] | 1 | If Q is assigned to table 1 along with two other sponsors, which one of the following could be true of the seating assignment? |
At a benefit dinner, a community theater's seven sponsors—K, L, M, P, Q, V, and Z—will be seated at three tables—1, 2, and 3. Of the sponsors, only K, L, and M will receive honors, and only M, P, and Q will give a speech. The sponsors' seating assignments must conform to the following conditions: Each table has at leas... | 199706_3-G_1_5 | [
"K",
"M",
"P",
"Q",
"Z"
] | 4 | If the sponsors assigned to table 3 include exactly one of the sponsors who will give a speech, then the sponsors assigned to table 1 could include any of the following EXCEPT: |
At a benefit dinner, a community theater's seven sponsors—K, L, M, P, Q, V, and Z—will be seated at three tables—1, 2, and 3. Of the sponsors, only K, L, and M will receive honors, and only M, P, and Q will give a speech. The sponsors' seating assignments must conform to the following conditions: Each table has at leas... | 199706_3-G_1_6 | [
"K, M",
"K, Z",
"P, V",
"P, Z",
"Q, Z"
] | 1 | If three sponsors, exactly two of whom are receiving honors, are assigned to table 2, which one of the following could be the list of sponsors assigned to table 1? |
At a benefit dinner, a community theater's seven sponsors—K, L, M, P, Q, V, and Z—will be seated at three tables—1, 2, and 3. Of the sponsors, only K, L, and M will receive honors, and only M, P, and Q will give a speech. The sponsors' seating assignments must conform to the following conditions: Each table has at leas... | 199706_3-G_1_7 | [
"At most two sponsors are seated at table 1.",
"Any sponsor giving a speech is seated at table 1 or else table 2.",
"Any sponsor giving a speech is seated at table 2 or else table 3.",
"Exactly three of the sponsors are seated at table 1.",
"Any table at which both L and V are seated also has a third sponso... | 1 | Which one of the following conditions, if added to the existing conditions, results in a set of conditions to which no seating assignment for the sponsors can conform? |
Exactly four medical training sessions—M, O, R, and S—will be scheduled for four consecutive days—day 1 through day 4—one session each day. Six professionals—three nurses and three psychologists—will teach the sessions. The nurses are Fine, Johnson, and Leopold; the psychologists are Tyler, Vitale, and Wong. Each sessi... | 199706_3-G_2_8 | [
"Fine and Tyler",
"Fine and Wong",
"Johnson and Tyler",
"Johnson and Wong",
"Leopold and Wong"
] | 1 | If session R is the only session for which Leopold is scheduled, which one of the following is a pair of professionals who could be scheduled for day 2 together? |
Exactly four medical training sessions—M, O, R, and S—will be scheduled for four consecutive days—day 1 through day 4—one session each day. Six professionals—three nurses and three psychologists—will teach the sessions. The nurses are Fine, Johnson, and Leopold; the psychologists are Tyler, Vitale, and Wong. Each sessi... | 199706_3-G_2_9 | [
"Session O is scheduled for day 1.",
"Session S is scheduled for day 3.",
"Leopold is scheduled for day 1.",
"Vitale is scheduled for day 4.",
"Wong is scheduled for day 1."
] | 1 | Which one of the following must be false? |
Exactly four medical training sessions—M, O, R, and S—will be scheduled for four consecutive days—day 1 through day 4—one session each day. Six professionals—three nurses and three psychologists—will teach the sessions. The nurses are Fine, Johnson, and Leopold; the psychologists are Tyler, Vitale, and Wong. Each sessi... | 199706_3-G_2_10 | [
"session M, Fine, Wong",
"session O, Fine, Tyler",
"session O, Johnson, Tyler",
"session R, Fine, Wong",
"session S, Fine, Vitale"
] | 3 | Which one of the following could be the session and the professionals scheduled for day 4 ? |
Exactly four medical training sessions—M, O, R, and S—will be scheduled for four consecutive days—day 1 through day 4—one session each day. Six professionals—three nurses and three psychologists—will teach the sessions. The nurses are Fine, Johnson, and Leopold; the psychologists are Tyler, Vitale, and Wong. Each sessi... | 199706_3-G_2_11 | [
"Fine",
"Leopold",
"Tyler",
"Vitale",
"Wong"
] | 1 | If session S is scheduled for day 2, which one of the following is a professional who must be scheduled to teach session M ? |
Exactly four medical training sessions—M, O, R, and S—will be scheduled for four consecutive days—day 1 through day 4—one session each day. Six professionals—three nurses and three psychologists—will teach the sessions. The nurses are Fine, Johnson, and Leopold; the psychologists are Tyler, Vitale, and Wong. Each sessi... | 199706_3-G_2_12 | [
"Fine and Leopold",
"Fine and Wong",
"Johnson and Tyler",
"Johnson and Vitale",
"Leopold and Tyler"
] | 1 | If session O and session R are scheduled for consecutive days, which one of the following is a pair of professionals who could be scheduled for day 2 together? |
Exactly four medical training sessions—M, O, R, and S—will be scheduled for four consecutive days—day 1 through day 4—one session each day. Six professionals—three nurses and three psychologists—will teach the sessions. The nurses are Fine, Johnson, and Leopold; the psychologists are Tyler, Vitale, and Wong. Each sessi... | 199706_3-G_2_13 | [
"Fine, Johnson, Leopold, Leopold",
"Fine, Leopold, Leopold, Johnson",
"Johnson, Johnson, Leopold, Fine",
"Johnson, Leopold, Leopold, Johnson",
"Leopold, Leopold, Fine, Fine"
] | 0 | Which one of the following could be the order in which the nurses teach the sessions, listed from day 1 through day 4? |
Exactly four medical training sessions—M, O, R, and S—will be scheduled for four consecutive days—day 1 through day 4—one session each day. Six professionals—three nurses and three psychologists—will teach the sessions. The nurses are Fine, Johnson, and Leopold; the psychologists are Tyler, Vitale, and Wong. Each sessi... | 199706_3-G_2_14 | [
"session R",
"session S",
"Fine",
"Leopold",
"Vitale"
] | 0 | If session O is scheduled for day 3, which one of the following must be scheduled for day 4? |
Six paintings hang next to each other as shown below: Each of the paintings is an oil or else a watercolor. Each oil is directly beside, directly above, or directly below another oil. Each watercolor is directly beside, directly above, or directly below another watercolor. Each painting is a nineteenth-century painting... | 199706_3-G_3_15 | [
"Painting 1 is an oil.",
"Painting 3 is a nineteenth-century painting.",
"Painting 4 is a watercolor.",
"Painting 5 is an oil.",
"Painting 6 is a twentieth-century painting."
] | 4 | If all of the nineteenth-century paintings are watercolors, which one of the following must be true? |
Six paintings hang next to each other as shown below: Each of the paintings is an oil or else a watercolor. Each oil is directly beside, directly above, or directly below another oil. Each watercolor is directly beside, directly above, or directly below another watercolor. Each painting is a nineteenth-century painting... | 199706_3-G_3_16 | [
"paintings 1 and 5",
"paintings 1 and 6",
"paintings 2 and 4",
"paintings 4 and 5",
"paintings 4 and 6"
] | 3 | It is possible that the only two watercolors among the six paintings are |
Six paintings hang next to each other as shown below: Each of the paintings is an oil or else a watercolor. Each oil is directly beside, directly above, or directly below another oil. Each watercolor is directly beside, directly above, or directly below another watercolor. Each painting is a nineteenth-century painting... | 199706_3-G_3_17 | [
"Painting 1 is a watercolor.",
"Painting 2 is a watercolor.",
"Painting 4 is a watercolor.",
"Painting 5 is a watercolor.",
"Painting 6 is a watercolor."
] | 2 | If there are exactly three oils and three watercolors, which one of the following must be true? |
Six paintings hang next to each other as shown below: Each of the paintings is an oil or else a watercolor. Each oil is directly beside, directly above, or directly below another oil. Each watercolor is directly beside, directly above, or directly below another watercolor. Each painting is a nineteenth-century painting... | 199706_3-G_3_18 | [
"Painting 1 is a nineteenth-century painting, and painting 6 is an oil.",
"Painting 2 is both a nineteenth-century painting and an oil.",
"Painting 3 is a nineteenth-century painting.",
"Paintings 1 and 2 are both nineteenth-century paintings.",
"Painting 2 is an oil, and painting 4 is a nineteenth-century ... | 4 | If exactly two paintings are oils and exactly two paintings are nineteenth-century paintings, which one of the following must be false? |
Six paintings hang next to each other as shown below: Each of the paintings is an oil or else a watercolor. Each oil is directly beside, directly above, or directly below another oil. Each watercolor is directly beside, directly above, or directly below another watercolor. Each painting is a nineteenth-century painting... | 199706_3-G_3_19 | [
"Paintings 1 and 4 are two of exactly three twentieth-century paintings.",
"Paintings 1 and 6 are two of exactly three twentieth-century paintings.",
"Paintings 1 and 6 are two of exactly three nineteenth-century paintings.",
"Paintings 3 and 4 are two of exactly three nineteenth-century paintings.",
"Paint... | 0 | Which one of the following could be true? |
Exactly six of seven jugglers—G, H, K, L, N, P, and Q—are each assigned to exactly one of three positions—front, middle, and rear—on one of two teams—team 1 and team 2. For each team, exactly one juggler must be assigned to each position according to the following conditions: If either G or H or both are assigned to te... | 199706_3-G_4_20 | [
"front: Q; middle: K; rear: N",
"front: H; middle: P; rear: K",
"front: H; middle: L; near: N",
"front: G; middle: Q; rear: P",
"front: G; middle: Q; rear: N"
] | 4 | Which one of the following is an acceptable list of assignments of jugglers to team 2? |
Exactly six of seven jugglers—G, H, K, L, N, P, and Q—are each assigned to exactly one of three positions—front, middle, and rear—on one of two teams—team 1 and team 2. For each team, exactly one juggler must be assigned to each position according to the following conditions: If either G or H or both are assigned to te... | 199706_3-G_4_21 | [
"front: G; middle: K; rear: L",
"front: G; middle: K; rear: N",
"front: L; middle: K; rear: P",
"front: L; middle: Q; rear: G",
"front: L; middle: Q; rear: N"
] | 4 | If H is assigned to team 2, which one of the following is an acceptable assignment of jugglers to team 1? |
Exactly six of seven jugglers—G, H, K, L, N, P, and Q—are each assigned to exactly one of three positions—front, middle, and rear—on one of two teams—team 1 and team 2. For each team, exactly one juggler must be assigned to each position according to the following conditions: If either G or H or both are assigned to te... | 199706_3-G_4_22 | [
"front: G; middle: K; rear: L",
"front: G; middle: K; rear: P",
"front: L; middle: K; rear: Q",
"front: Q; middle: K; rear: P",
"front: Q; middle: L; rear: N"
] | 4 | Which one of the following is an acceptable list of assignments of jugglers to team 1? |
Exactly six of seven jugglers—G, H, K, L, N, P, and Q—are each assigned to exactly one of three positions—front, middle, and rear—on one of two teams—team 1 and team 2. For each team, exactly one juggler must be assigned to each position according to the following conditions: If either G or H or both are assigned to te... | 199706_3-G_4_23 | [
"H and N",
"K and L",
"K and P",
"L and N",
"L and Q"
] | 4 | If G is assigned to team 1, which one of the following is a pair of jugglers who could also be assigned to team 1? |
Exactly six of seven jugglers—G, H, K, L, N, P, and Q—are each assigned to exactly one of three positions—front, middle, and rear—on one of two teams—team 1 and team 2. For each team, exactly one juggler must be assigned to each position according to the following conditions: If either G or H or both are assigned to te... | 199706_3-G_4_24 | [
"H",
"L",
"N",
"P",
"Q"
] | 3 | If G is assigned to team 1 and K is assigned to team 2, which one of the following must be assigned the rear position on team 2? |
A producer is positioning exactly seven music pieces—F, G, H, J, K, L, and M—one after another on a music recording, not necessarily in that order. Each piece will fill exactly one of the seven sequential tracks on the recording, according to the following conditions: F must be second. J cannot be seventh. G can come n... | 199710_1-G_1_1 | [
"F, K, G, J, H, L, M",
"G, F, H, K, L, J, M",
"G, F, H, K, L, M, J",
"K, F, G, H, J, L, M",
"K, F, L, J, H, M, G"
] | 1 | Which one of the following could be the order, from first to seventh, of the pieces on the recording? |
A producer is positioning exactly seven music pieces—F, G, H, J, K, L, and M—one after another on a music recording, not necessarily in that order. Each piece will fill exactly one of the seven sequential tracks on the recording, according to the following conditions: F must be second. J cannot be seventh. G can come n... | 199710_1-G_1_2 | [
"G is first.",
"K is seventh.",
"L is third.",
"H comes either immediately before or immediately after F.",
"L comes either immediately before or immediately after G."
] | 3 | If M fills some track before that of J and also before that of K on the recording, which one of the following must be true? |
A producer is positioning exactly seven music pieces—F, G, H, J, K, L, and M—one after another on a music recording, not necessarily in that order. Each piece will fill exactly one of the seven sequential tracks on the recording, according to the following conditions: F must be second. J cannot be seventh. G can come n... | 199710_1-G_1_3 | [
"G, J, K",
"G, H, J, K",
"G, H, J, L",
"G, J, K, L",
"H, J, K, L, M"
] | 1 | Which one of the following is a complete and accurate list of the pieces any of which could be first on the recording? |
A producer is positioning exactly seven music pieces—F, G, H, J, K, L, and M—one after another on a music recording, not necessarily in that order. Each piece will fill exactly one of the seven sequential tracks on the recording, according to the following conditions: F must be second. J cannot be seventh. G can come n... | 199710_1-G_1_4 | [
"first",
"third",
"fourth",
"fifth",
"sixth"
] | 2 | The earliest track that M can fill is the |
A producer is positioning exactly seven music pieces—F, G, H, J, K, L, and M—one after another on a music recording, not necessarily in that order. Each piece will fill exactly one of the seven sequential tracks on the recording, according to the following conditions: F must be second. J cannot be seventh. G can come n... | 199710_1-G_1_5 | [
"J comes immediately before F.",
"K comes immediately before G.",
"J comes immediately after L.",
"J comes immediately after K.",
"K comes immediately after M."
] | 3 | If G is to come immediately before H but all the other conditions remain in effect, any of the following could be true EXCEPT: |
Fu, Gunsel, Jackson, Kowalski, Lee, Mayer, and Ordoveza are the only applicants being considered for some positions at a nonprofit organization. Only applicants who are interviewed will be hired. The hiring process must meet the following constraints: If Gunsel is interviewed, Jackson is interviewed. If Jackson is inte... | 199710_1-G_2_6 | [
"Fu, Gunsel",
"Fu, Jackson",
"Fu, Lee",
"Fu, Gunsel, Lee",
"Fu, Gunsel, Jackson"
] | 2 | Which one of the following could be a complete and accurate list of the applicants that are interviewed? |
Fu, Gunsel, Jackson, Kowalski, Lee, Mayer, and Ordoveza are the only applicants being considered for some positions at a nonprofit organization. Only applicants who are interviewed will be hired. The hiring process must meet the following constraints: If Gunsel is interviewed, Jackson is interviewed. If Jackson is inte... | 199710_1-G_2_7 | [
"Lee and Mayer are the only applicants interviewed.",
"Fu, Jackson, and Kowalski are the only applicants interviewed.",
"Gunsel and one other applicant are the only applicants interviewed.",
"Gunsel and two other applicants are the only applicants interviewed.",
"Gunsel and three other applicants are the on... | 4 | Which one of the following could be true? |
Fu, Gunsel, Jackson, Kowalski, Lee, Mayer, and Ordoveza are the only applicants being considered for some positions at a nonprofit organization. Only applicants who are interviewed will be hired. The hiring process must meet the following constraints: If Gunsel is interviewed, Jackson is interviewed. If Jackson is inte... | 199710_1-G_2_8 | [
"Kowalski is not interviewed.",
"Kowalski is interviewed but not hired.",
"Fu is not hired.",
"Fu is hired but Kowalski is not hired.",
"Fu is interviewed but Kowalski is not hired."
] | 4 | If Mayer is not interviewed, which one of the following must be true? |
Fu, Gunsel, Jackson, Kowalski, Lee, Mayer, and Ordoveza are the only applicants being considered for some positions at a nonprofit organization. Only applicants who are interviewed will be hired. The hiring process must meet the following constraints: If Gunsel is interviewed, Jackson is interviewed. If Jackson is inte... | 199710_1-G_2_9 | [
"Fu, Lee, Mayer",
"Fu, Kowalski, Mayer",
"Kowalski, Lee, Ordoveza",
"Gunsel, Jackson, Mayer",
"Gunsel, Jackson, Lee"
] | 4 | If Gunsel and five other applicants are the only applicants interviewed, and if exactly three applicants are hired, then which one of the following could be an accurate list of the applicants hired? |
Fu, Gunsel, Jackson, Kowalski, Lee, Mayer, and Ordoveza are the only applicants being considered for some positions at a nonprofit organization. Only applicants who are interviewed will be hired. The hiring process must meet the following constraints: If Gunsel is interviewed, Jackson is interviewed. If Jackson is inte... | 199710_1-G_2_10 | [
"Fu",
"Jackson",
"Kowalski",
"Mayer",
"Ordoveza"
] | 1 | If every applicant that is interviewed is hired, and if Lee is hired, then each of the following applicants must be interviewed EXCEPT: |
Fu, Gunsel, Jackson, Kowalski, Lee, Mayer, and Ordoveza are the only applicants being considered for some positions at a nonprofit organization. Only applicants who are interviewed will be hired. The hiring process must meet the following constraints: If Gunsel is interviewed, Jackson is interviewed. If Jackson is inte... | 199710_1-G_2_11 | [
"Lee is hired.",
"Mayer is hired.",
"Jackson is interviewed.",
"Kowalski is interviewed.",
"Gunsel is interviewed."
] | 1 | If Ordoveza is not interviewed, and if exactly four applicants are hired, then which one of the following must be false? |
Exactly six of seven researchers—three anthropologists: Franklin, Jones, and Marquez; and four linguists: Neil, Osborne, Rice, and Samuels—will be included in two three-person teams—team 1 and team 2. No researcher will be included in more than one team. Each team must include at least one anthropologist and at least o... | 199710_1-G_3_12 | [
"team 1: Franklin, Marquez, Osborne team 2: Jones, Neil, Rice",
"team 1: Franklin, Neil, Samuels team 2: Jones, Osborne, Rice",
"team 1: Franklin, Osborne, Rice team 2: Jones, Neil, Samuels",
"team 1: Jones, Marquez, Neil team 2: Osborne, Rice, Samuels",
"team 1: Jones, Osborne, Rice team 2: Franklin, Marqu... | 2 | Which one of the following could be the list of the researchers on the two teams? |
Exactly six of seven researchers—three anthropologists: Franklin, Jones, and Marquez; and four linguists: Neil, Osborne, Rice, and Samuels—will be included in two three-person teams—team 1 and team 2. No researcher will be included in more than one team. Each team must include at least one anthropologist and at least o... | 199710_1-G_3_13 | [
"Franklin and Rice",
"Marquez and Osborne",
"Neil and Osborne",
"Osborne and Samuels",
"Rice and Samuels"
] | 0 | If Jones is on team 1, which one of the following is a pair of researchers that must be on team 2 together? |
Exactly six of seven researchers—three anthropologists: Franklin, Jones, and Marquez; and four linguists: Neil, Osborne, Rice, and Samuels—will be included in two three-person teams—team 1 and team 2. No researcher will be included in more than one team. Each team must include at least one anthropologist and at least o... | 199710_1-G_3_14 | [
"Franklin and Jones",
"Jones and Osborne",
"Jones and Rice",
"Jones and Samuels",
"Osborne and Samuels"
] | 3 | If Neil is on team 1, which one of the following is a pair of researchers that could be on team 1 together with Neil? |
Exactly six of seven researchers—three anthropologists: Franklin, Jones, and Marquez; and four linguists: Neil, Osborne, Rice, and Samuels—will be included in two three-person teams—team 1 and team 2. No researcher will be included in more than one team. Each team must include at least one anthropologist and at least o... | 199710_1-G_3_15 | [
"Jones is on team 1.",
"Rice is on team 1.",
"Samuels is on team 2.",
"Both Neil and Osborne are on team 1.",
"Both Neil and Osborne are on team 2."
] | 2 | If Franklin is on the same team as Marquez, which one of the following could be true? |
Exactly six of seven researchers—three anthropologists: Franklin, Jones, and Marquez; and four linguists: Neil, Osborne, Rice, and Samuels—will be included in two three-person teams—team 1 and team 2. No researcher will be included in more than one team. Each team must include at least one anthropologist and at least o... | 199710_1-G_3_16 | [
"Franklin and Jones",
"Franklin and Marquez",
"Franklin and Rice",
"Jones and Marquez",
"Jones and Rice"
] | 1 | Each of the following is a pair of researchers that could be on team 2 together EXCEPT: |
Exactly six of seven researchers—three anthropologists: Franklin, Jones, and Marquez; and four linguists: Neil, Osborne, Rice, and Samuels—will be included in two three-person teams—team 1 and team 2. No researcher will be included in more than one team. Each team must include at least one anthropologist and at least o... | 199710_1-G_3_17 | [
"Franklin is on team 1 and Neil is on team 2.",
"Franklin is on team 2 and Jones is not on any team.",
"Franklin is on team 2 and Marquez is on team 2.",
"Franklin is not on any team and Jones is on team 1.",
"Jones is on team 1 and Neil is on team 2."
] | 0 | Which one of the following could be true? |
Exactly six of seven researchers—three anthropologists: Franklin, Jones, and Marquez; and four linguists: Neil, Osborne, Rice, and Samuels—will be included in two three-person teams—team 1 and team 2. No researcher will be included in more than one team. Each team must include at least one anthropologist and at least o... | 199710_1-G_3_18 | [
"Franklin",
"Jones",
"Osborne",
"Rice",
"Samuels"
] | 1 | If Marquez is on team 2, which one of the following must also be on team 2? |
Five candidates for mayor—Q, R, S, T, and U—will each speak exactly once at each of three town meetings—meetings 1, 2, and 3. At each meeting, each candidate will speak in one of five consecutive time slots. No two candidates will speak in the same time slot as each other at any meeting. The order in which the candidat... | 199710_1-G_4_19 | [
"meeting 1: Q, U, R, T, S meeting 2: S, T, R, U, Q meeting 3: T, U, Q, R, S",
"meeting 1: R, S, Q, T, U meeting 2: U, T, S, R, Q meeting 3: Q, R, T, U, S",
"meeting 1: S, Q, U, T, R meeting 2: U, T, Q, R, S meeting 3: R, Q, S, T, U",
"meeting 1: T, R, S, U, Q meeting 2: Q, R, S, T, U meeting 3: U, S, R, Q, T"... | 3 | Which one of the following could be the order, from first to fifth, in which the candidates speak at the meetings? |
Five candidates for mayor—Q, R, S, T, and U—will each speak exactly once at each of three town meetings—meetings 1, 2, and 3. At each meeting, each candidate will speak in one of five consecutive time slots. No two candidates will speak in the same time slot as each other at any meeting. The order in which the candidat... | 199710_1-G_4_20 | [
"fourth, fifth",
"first, second, fifth",
"second, third, fifth",
"third, fourth, fifth",
"second, third, fourth, fifth"
] | 3 | If R speaks second at meeting 2 and first at meeting 3, which one of the following is a complete and accurate list of those time slots any one of which could be the time slot in which R speaks at meeting 1? |
Five candidates for mayor—Q, R, S, T, and U—will each speak exactly once at each of three town meetings—meetings 1, 2, and 3. At each meeting, each candidate will speak in one of five consecutive time slots. No two candidates will speak in the same time slot as each other at any meeting. The order in which the candidat... | 199710_1-G_4_21 | [
"Q speaks first.",
"R speaks third.",
"S speaks first.",
"T speaks second.",
"U speaks fifth."
] | 1 | If the order in which the candidates speak at meeting 1 is R, U, S, T, Q, and the order in which they speak at meeting 2 is Q, R, U, S, T, which one of the following could be true of meeting 3? |
Five candidates for mayor—Q, R, S, T, and U—will each speak exactly once at each of three town meetings—meetings 1, 2, and 3. At each meeting, each candidate will speak in one of five consecutive time slots. No two candidates will speak in the same time slot as each other at any meeting. The order in which the candidat... | 199710_1-G_4_22 | [
"R speaks second at meeting 3.",
"R speaks fourth at meeting 3.",
"S speaks second at at least one of the meetings.",
"S speaks fifth at exactly one of the meetings.",
"S speaks fifth at exactly two of the meetings."
] | 4 | If R speaks first at meetings 1 and 2, and S speaks first at meeting 3, which one of the following must be true? |
Five candidates for mayor—Q, R, S, T, and U—will each speak exactly once at each of three town meetings—meetings 1, 2, and 3. At each meeting, each candidate will speak in one of five consecutive time slots. No two candidates will speak in the same time slot as each other at any meeting. The order in which the candidat... | 199710_1-G_4_23 | [
"first",
"second",
"in some time slot after the time slot in which R speaks",
"in some time slot after the time slots in which S and U speak",
"in some time slot before the time slots in which R and U speak"
] | 2 | It could be true that at all three meetings T speaks |
Five candidates for mayor—Q, R, S, T, and U—will each speak exactly once at each of three town meetings—meetings 1, 2, and 3. At each meeting, each candidate will speak in one of five consecutive time slots. No two candidates will speak in the same time slot as each other at any meeting. The order in which the candidat... | 199710_1-G_4_24 | [
"The fifth speaker at at least one of the meetings is either Q or R.",
"Either Q speaks first at exactly two of the meetings or else R does so.",
"Neither S nor T speaks fifth at any of the meetings.",
"Q speaks third at one of the meetings, and R speaks third at another of the meetings.",
"Q speaks fourth ... | 0 | If S, T, and U speak second at meetings 1, 2, and 3, respectively, which one of the following must be true? |
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