context stringclasses 268
values | id_string stringlengths 14 15 | answers listlengths 5 5 | label int64 0 4 | question stringlengths 18 356 |
|---|---|---|---|---|
On an undeveloped street, a developer will simultaneously build four houses on one side, numbered consecutively 1, 3, 5, and 7, and fos on the opposite side, numbered consecutively 2, 4, 6, and 8. Houses 2, 4, 6, and 8 will face houses 1, 3, 5, and 7, respectively. Each house will be exactly one of three styles—ranch, ... | 199509_1-G_3_17 | [
"1 is a split-level house",
"1 is a Tudor house",
"2 is a ranch house",
"2 is a split-level house",
"4 is a Tudor house"
] | 4 | If no house faces a house of the same style, then it must be true that house |
On an undeveloped street, a developer will simultaneously build four houses on one side, numbered consecutively 1, 3, 5, and 7, and fos on the opposite side, numbered consecutively 2, 4, 6, and 8. Houses 2, 4, 6, and 8 will face houses 1, 3, 5, and 7, respectively. Each house will be exactly one of three styles—ranch, ... | 199509_1-G_3_18 | [
"ranch, split-level, ranch, Tudor",
"split-level, ranch, Tudor, split-level",
"split-level, Tudor, ranch, split-level",
"Tudor, ranch, Tudor, split-level",
"Tudor, split-level, ranch, Tudor"
] | 0 | If the condition requiring house 6 to be a split-level house is suspended but all other original conditions remain the same, then any of the following could be an accurate list of the styles of houses 2, 4, 6, and 8, respectively, EXCEPT: |
Within a tennis league each of five teams occupies one of five positions, numbered 1 through 5 in order of rank, with number 1 as the highest position. The teams are initially in the order R, J, S, M, L, with R in position 1. Teams change positions only when a lower-positioned team defeats a higher-positioned team. The... | 199509_1-G_4_19 | [
"J, R, M, L, S",
"J, R, S, L, M",
"R, J, M, L, S",
"R, J, M, S, L",
"R, S, J, L, M"
] | 3 | Which one of the following could be the order of teams, from position 1 through position 5 respectively, after exactly one round of even-position matches if no odd-position round has yet been played? |
Within a tennis league each of five teams occupies one of five positions, numbered 1 through 5 in order of rank, with number 1 as the highest position. The teams are initially in the order R, J, S, M, L, with R in position 1. Teams change positions only when a lower-positioned team defeats a higher-positioned team. The... | 199509_1-G_4_20 | [
"L is one position higher than J.",
"R is one position higher than L.",
"S is one position higher than R.",
"J is in position 4.",
"M is in position 3."
] | 4 | If exactly two rounds of matches have been played, beginning with an odd-position round, and if the lower-positioned teams have won every match in those two rounds, then each of the following must be true EXCEPT: |
Within a tennis league each of five teams occupies one of five positions, numbered 1 through 5 in order of rank, with number 1 as the highest position. The teams are initially in the order R, J, S, M, L, with R in position 1. Teams change positions only when a lower-positioned team defeats a higher-positioned team. The... | 199509_1-G_4_21 | [
"J has won two matches.",
"L has lost two matches.",
"R has won two matches.",
"L's only match was played against J.",
"M played against S in two matches."
] | 0 | Which one of the following could be true after exactly two rounds of matches have been played? |
Within a tennis league each of five teams occupies one of five positions, numbered 1 through 5 in order of rank, with number 1 as the highest position. The teams are initially in the order R, J, S, M, L, with R in position 1. Teams change positions only when a lower-positioned team defeats a higher-positioned team. The... | 199509_1-G_4_22 | [
"J is in position 2.",
"J is in position 3.",
"L is in position 2.",
"R is in position 1.",
"S is in position 3."
] | 2 | If after exactly three rounds of matches M is in position 4, and J and L have won all of their matches, then which one of the following can be true? |
Within a tennis league each of five teams occupies one of five positions, numbered 1 through 5 in order of rank, with number 1 as the highest position. The teams are initially in the order R, J, S, M, L, with R in position 1. Teams change positions only when a lower-positioned team defeats a higher-positioned team. The... | 199509_1-G_4_23 | [
"J",
"L",
"M",
"R",
"S"
] | 0 | If after exactly three rounds M has won three matches and the rankings of the other four teams relative to each other remain the same, then which one of the following must be in position 3? |
Within a tennis league each of five teams occupies one of five positions, numbered 1 through 5 in order of rank, with number 1 as the highest position. The teams are initially in the order R, J, S, M, L, with R in position 1. Teams change positions only when a lower-positioned team defeats a higher-positioned team. The... | 199509_1-G_4_24 | [
"J, R, M, S, L",
"J, L, S, M, R",
"R, J, S, L, M",
"R, L, M, S, J",
"R, M, L, S, J"
] | 2 | If after exactly three rounds the teams, in order from first to fifth position, are R, J, L, S, and M, then which one of the following could be the order, from first to fifth position, of the teams after the second round? |
On Wednesday a physician will have exactly one appointment with seven patients—P, Q, R, S, T, U, W—one patient per appointment. The schedule of appointments, chronologically numbered 1 through 7, must meet the following conditions: Q's appointment is at some time before W's appointment. U's appointment is at some time ... | 199512_1-G_1_1 | [
"Q, S, R, P, W, U, T",
"Q, U, W, S, R, T, P",
"S, Q, R, T, W, U, P",
"T, U, R, S, W, P, Q",
"U, Q, T, P, R, S, W"
] | 4 | Which one of the following is an acceptable schedule of appointments in order from 1 to 7? |
On Wednesday a physician will have exactly one appointment with seven patients—P, Q, R, S, T, U, W—one patient per appointment. The schedule of appointments, chronologically numbered 1 through 7, must meet the following conditions: Q's appointment is at some time before W's appointment. U's appointment is at some time ... | 199512_1-G_1_2 | [
"R has appointment 6.",
"S has appointment 4.",
"S has appointment 7.",
"U has appointment 1.",
"U has appointment 4."
] | 4 | If W has appointment 2 and P has appointment 5, then which one of the following must be true? |
On Wednesday a physician will have exactly one appointment with seven patients—P, Q, R, S, T, U, W—one patient per appointment. The schedule of appointments, chronologically numbered 1 through 7, must meet the following conditions: Q's appointment is at some time before W's appointment. U's appointment is at some time ... | 199512_1-G_1_3 | [
"Q's appointment is at some time before P's appointment.",
"S's appointment is at some time before P's appointment.",
"S's appointment is immediately before Q's appointment.",
"W's appointment is immediately before P's appointment.",
"W's appointment is at some time before S's appointment."
] | 1 | If U's appointment is immediately after T's appointment and immediately before R's appointment, then which one of the following must be true? |
On Wednesday a physician will have exactly one appointment with seven patients—P, Q, R, S, T, U, W—one patient per appointment. The schedule of appointments, chronologically numbered 1 through 7, must meet the following conditions: Q's appointment is at some time before W's appointment. U's appointment is at some time ... | 199512_1-G_1_4 | [
"R's appointment is immediately before W's appointment.",
"T's appointment is immediately before Q's appointment.",
"U's appointment is immediately before P's appointment.",
"U's appointment is immediately before Q's appointment.",
"W's appointment is immediately before T's appointment."
] | 1 | If P's appointment is immediately before S's appointment, then each of the following could be true EXCEPT: |
On Wednesday a physician will have exactly one appointment with seven patients—P, Q, R, S, T, U, W—one patient per appointment. The schedule of appointments, chronologically numbered 1 through 7, must meet the following conditions: Q's appointment is at some time before W's appointment. U's appointment is at some time ... | 199512_1-G_1_5 | [
"W's appointment is at some time before R's appointment.",
"U's appointment is at some time before R's appointment.",
"S's appointment is at some time before U's appointment.",
"R's appointment is at some time before P's appointment.",
"Q's appointment is at some time before S's appointment."
] | 3 | If T's appointment is immediately after P's appointment and immediately before W's appointment, then which one of the following must be true? |
Exactly six employees—officers F, G, and H, and supervisors K, L, and M—must be assigned to exactly three committees—Policy, Quality, and Sales—with exactly three employees per committee. Committee assignments must conform to the following conditions: Each committee must have at least one officer assigned to it. Each e... | 199512_1-G_2_6 | [
"F, G, and H",
"F, G, and M",
"G, K, and L",
"H, K, and L",
"K, L, and M"
] | 3 | Which one of the following is a group of three employees who can be assigned together to the Sales Committee? |
Exactly six employees—officers F, G, and H, and supervisors K, L, and M—must be assigned to exactly three committees—Policy, Quality, and Sales—with exactly three employees per committee. Committee assignments must conform to the following conditions: Each committee must have at least one officer assigned to it. Each e... | 199512_1-G_2_7 | [
"G and M are both assigned to the Quality Committee",
"K and L are both assigned to the Sales Committee",
"K is assigned to exactly two committees",
"L is assigned to exactly two committees",
"M is assigned to exactly two committees"
] | 2 | If H is assigned to exactly one committee, and if no committee has both F and M assigned to it, then it must be true that |
Exactly six employees—officers F, G, and H, and supervisors K, L, and M—must be assigned to exactly three committees—Policy, Quality, and Sales—with exactly three employees per committee. Committee assignments must conform to the following conditions: Each committee must have at least one officer assigned to it. Each e... | 199512_1-G_2_8 | [
"F is assigned to exactly one committee.",
"G is assigned to exactly three committees.",
"H is assigned to exactly three committees.",
"K is assigned to exactly one committee.",
"L is assigned to exactly two committees."
] | 1 | Which one of the following CANNOT be true? |
Exactly six employees—officers F, G, and H, and supervisors K, L, and M—must be assigned to exactly three committees—Policy, Quality, and Sales—with exactly three employees per committee. Committee assignments must conform to the following conditions: Each committee must have at least one officer assigned to it. Each e... | 199512_1-G_2_9 | [
"G is assigned to the Quality Committee.",
"G is assigned to the Sales Committee.",
"K is assigned to the Quality Committee.",
"L is assigned to the Sales Committee.",
"M is assigned to the Quality Committee."
] | 4 | If F is assigned to exactly three committees, and G is assigned to exactly two committees, then which one of the following must be true? |
Exactly six employees—officers F, G, and H, and supervisors K, L, and M—must be assigned to exactly three committees—Policy, Quality, and Sales—with exactly three employees per committee. Committee assignments must conform to the following conditions: Each committee must have at least one officer assigned to it. Each e... | 199512_1-G_2_10 | [
"F, G, and H",
"F, G, and K",
"G, H, and K",
"G, K, and L",
"H, L, and M"
] | 4 | Which one of the following is a group of three employees who can be assigned together to the Quality Committee? |
Exactly six employees—officers F, G, and H, and supervisors K, L, and M—must be assigned to exactly three committees—Policy, Quality, and Sales—with exactly three employees per committee. Committee assignments must conform to the following conditions: Each committee must have at least one officer assigned to it. Each e... | 199512_1-G_2_11 | [
"F is assigned to the Sales Committee.",
"G is assigned to the Sales Committee.",
"H is assigned to the Quality Committee.",
"K is assigned to the Quality Committee.",
"M is assigned to the Quality Committee."
] | 4 | If L is assigned to exactly two committees, which of the following must be true? |
Exactly six employees—officers F, G, and H, and supervisors K, L, and M—must be assigned to exactly three committees—Policy, Quality, and Sales—with exactly three employees per committee. Committee assignments must conform to the following conditions: Each committee must have at least one officer assigned to it. Each e... | 199512_1-G_2_12 | [
"F and G are each assigned to exactly one committee.",
"F and H are each assigned to exactly one committee.",
"G and H are each assigned to exactly one committee.",
"F and M are both assigned to the Sales Committee.",
"G and K are both assigned to the Quality Committee."
] | 1 | Which one of the following CANNOT be true? |
On Tuesday Vladimir and Wendy each eat exactly four separate meals: breakfast, lunch, dinner, and a snack. The following is all that is known about what they eat during that day: At no meal does Vladimir eat the same kind of food as Wendy. Neither of them eats the same kind of food more than once during the day. For br... | 199512_1-G_3_13 | [
"Vladimir eats fish for lunch.",
"Vladimir eats fish for dinner.",
"Vladimir eats fish for his snack.",
"Wendy eats fish for dinner.",
"Wendy eats fish for her snack."
] | 4 | Which one of the following statements must be true? |
On Tuesday Vladimir and Wendy each eat exactly four separate meals: breakfast, lunch, dinner, and a snack. The following is all that is known about what they eat during that day: At no meal does Vladimir eat the same kind of food as Wendy. Neither of them eats the same kind of food more than once during the day. For br... | 199512_1-G_3_14 | [
"fish",
"hot cakes",
"macaroni",
"omelet",
"poached eggs"
] | 3 | Vladimir must eat which one of the following foods? |
On Tuesday Vladimir and Wendy each eat exactly four separate meals: breakfast, lunch, dinner, and a snack. The following is all that is known about what they eat during that day: At no meal does Vladimir eat the same kind of food as Wendy. Neither of them eats the same kind of food more than once during the day. For br... | 199512_1-G_3_15 | [
"Vladimir eats fish for lunch.",
"Vladimir eats hot cakes for lunch.",
"Vladimir eats macaroni for dinner.",
"Wendy eats hot cakes for breakfast.",
"Wendy eats hot cakes for dinner."
] | 3 | If both Vladimir and Wendy eat macaroni on Tuesday, then which one of the following statements could be true? |
On Tuesday Vladimir and Wendy each eat exactly four separate meals: breakfast, lunch, dinner, and a snack. The following is all that is known about what they eat during that day: At no meal does Vladimir eat the same kind of food as Wendy. Neither of them eats the same kind of food more than once during the day. For br... | 199512_1-G_3_16 | [
"Vladimir eats poached eggs for breakfast.",
"Vladimir eats fish for lunch.",
"Vladimir eats hot cakes for lunch.",
"Wendy eats hot cakes for breakfast.",
"Wendy eats fish for dinner."
] | 1 | If Wendy does not eat macaroni on Tuesday, then which one of the following statements could be true? |
On Tuesday Vladimir and Wendy each eat exactly four separate meals: breakfast, lunch, dinner, and a snack. The following is all that is known about what they eat during that day: At no meal does Vladimir eat the same kind of food as Wendy. Neither of them eats the same kind of food more than once during the day. For br... | 199512_1-G_3_17 | [
"Vladimir eats fish for lunch.",
"Vladimir eats hot cakes for lunch.",
"Vladimir eats macaroni for dinner.",
"Wendy eats hot cakes for dinner.",
"Wendy eats macaroni for dinner."
] | 1 | If Wendy eats poached eggs for breakfast, then which one of the following statements cannot be true? |
Eight people—Jack, Karen, Laura, Mark, Nick, Owen, Peggy, and Ruth—will be placed on two four-person teams—X and Y—for a relay race that is run in four successive legs: first, second, third, and fourth. The teams race concurrently. Each team member runs exactly one of the legs, one team member per leg, according to the... | 199512_1-G_4_18 | [
"If Jack and Owen are assigned to the same team as each other, Jack runs first.",
"If Jack and Peggy are assigned to the same team as each other, Jack runs fourth.",
"If Jack and Ruth are assigned to the same team as each other, Ruth runs third.",
"If Mark and Owen are assigned to the same team as each other,... | 0 | Which one of the following must be true? |
Eight people—Jack, Karen, Laura, Mark, Nick, Owen, Peggy, and Ruth—will be placed on two four-person teams—X and Y—for a relay race that is run in four successive legs: first, second, third, and fourth. The teams race concurrently. Each team member runs exactly one of the legs, one team member per leg, according to the... | 199512_1-G_4_19 | [
"first",
"second",
"first, second",
"first, third",
"second, third"
] | 3 | If Ruth is assigned to team X, which one of the following is a complete and accurate list of the legs that she could run? |
Eight people—Jack, Karen, Laura, Mark, Nick, Owen, Peggy, and Ruth—will be placed on two four-person teams—X and Y—for a relay race that is run in four successive legs: first, second, third, and fourth. The teams race concurrently. Each team member runs exactly one of the legs, one team member per leg, according to the... | 199512_1-G_4_20 | [
"Mark runs fourth.",
"Nick runs first.",
"Nick runs fourth.",
"Peggy runs first.",
"Peggy runs fourth."
] | 4 | If Owen and Ruth are assigned to the same team as each other, which one of the following must be true? |
Eight people—Jack, Karen, Laura, Mark, Nick, Owen, Peggy, and Ruth—will be placed on two four-person teams—X and Y—for a relay race that is run in four successive legs: first, second, third, and fourth. The teams race concurrently. Each team member runs exactly one of the legs, one team member per leg, according to the... | 199512_1-G_4_21 | [
"Jack runs first.",
"Mark runs fourth.",
"Nick runs first.",
"Nick and Peggy both run third.",
"Owen and Peggy both run fourth."
] | 2 | Any of the following can be true EXCEPT: |
Eight people—Jack, Karen, Laura, Mark, Nick, Owen, Peggy, and Ruth—will be placed on two four-person teams—X and Y—for a relay race that is run in four successive legs: first, second, third, and fourth. The teams race concurrently. Each team member runs exactly one of the legs, one team member per leg, according to the... | 199512_1-G_4_22 | [
"Jack runs first.",
"Mark runs fourth.",
"Nick runs third.",
"Peggy runs third.",
"Ruth runs first."
] | 2 | If Ruth and Peggy are assigned to the same team as each other, which one of the following must be true? |
Eight people—Jack, Karen, Laura, Mark, Nick, Owen, Peggy, and Ruth—will be placed on two four-person teams—X and Y—for a relay race that is run in four successive legs: first, second, third, and fourth. The teams race concurrently. Each team member runs exactly one of the legs, one team member per leg, according to the... | 199512_1-G_4_23 | [
"Jack runs fourth.",
"Nick runs fourth.",
"Peggy runs fourth.",
"Ruth runs first.",
"Ruth runs third."
] | 1 | Any of the following can be true EXCEPT: |
Eight people—Jack, Karen, Laura, Mark, Nick, Owen, Peggy, and Ruth—will be placed on two four-person teams—X and Y—for a relay race that is run in four successive legs: first, second, third, and fourth. The teams race concurrently. Each team member runs exactly one of the legs, one team member per leg, according to the... | 199512_1-G_4_24 | [
"Jack runs the first leg on the team to which he is assigned.",
"Ruth runs the first leg on the team to which she is assigned.",
"Owen runs on the same team as Jack.",
"Owen runs on the same team as Mark.",
"Ruth runs on the same team as Mark."
] | 1 | If Peggy runs third on the same team to which Jack is assigned, which one of the following must be true? |
A contractor is scheduling construction of seven decks—F, G, H, J, K, L, and M—during a seven-week period: week 1 through week 7. Because of customers' requirements, exactly one deck must be built each week according to the following conditions: G must be built at some time before K is built. L must be built either imm... | 199602_3-G_1_1 | [
"G, K, H, M, F, J, L",
"H, G, L, M, F, K, J",
"H, J, G, F, M, L, K",
"H, M, L, G, F, J, K",
"K, J, H, G, F, M, L"
] | 3 | Which one of the following is an acceptable construction schedule for the decks, in order from the deck built in week 1 to that built in week 7? |
A contractor is scheduling construction of seven decks—F, G, H, J, K, L, and M—during a seven-week period: week 1 through week 7. Because of customers' requirements, exactly one deck must be built each week according to the following conditions: G must be built at some time before K is built. L must be built either imm... | 199602_3-G_1_2 | [
"G is built during week 7.",
"H is built during week 1.",
"J is built during week 6.",
"L is built during week 3.",
"M is built during week 1."
] | 1 | If G is built at some time after F is built, which one of the following must be true? |
A contractor is scheduling construction of seven decks—F, G, H, J, K, L, and M—during a seven-week period: week 1 through week 7. Because of customers' requirements, exactly one deck must be built each week according to the following conditions: G must be built at some time before K is built. L must be built either imm... | 199602_3-G_1_3 | [
"2, 3, 6",
"2, 3, 7",
"2, 5, 6, 7",
"1, 2, 3, 6, 7",
"2, 3, 4, 6, 7"
] | 4 | Which one of the following is a complete and accurate list of the weeks any one of which could be the week in which K is built? |
A contractor is scheduling construction of seven decks—F, G, H, J, K, L, and M—during a seven-week period: week 1 through week 7. Because of customers' requirements, exactly one deck must be built each week according to the following conditions: G must be built at some time before K is built. L must be built either imm... | 199602_3-G_1_4 | [
"K, L, M",
"F, G, H, K",
"F, H, K, M",
"G, H, K, L, M",
"H, J, K, L, M"
] | 3 | Which one of the following is a complete and accurate list of decks any one of which could be the deck built in week 3? |
A contractor is scheduling construction of seven decks—F, G, H, J, K, L, and M—during a seven-week period: week 1 through week 7. Because of customers' requirements, exactly one deck must be built each week according to the following conditions: G must be built at some time before K is built. L must be built either imm... | 199602_3-G_1_5 | [
"one",
"two",
"three",
"four",
"five"
] | 3 | If G is built during week 4, then there are exactly how many acceptable orders any one of which could be the order in which the seven decks are built? |
Each of five salespeople—F, G, H, I, and J—will present a different one of a company's products—L, M, N, O, and P—at a convention running from Monday through Wednesday. Exactly two products will be presented on Monday, exactly one on Tuesday, and exactly two on Wednesday. The scheduling of presentations is governed by ... | 199602_3-G_2_6 | [
"If F presents a product on Monday, then G presents product O.",
"If I presents a product on Tuesday, then J presents a product on Monday.",
"If J presents a product on Tuesday, then G presents a product on Monday.",
"If both F and J present products on Monday, then H presents product O.",
"If both H and I ... | 4 | Which one of the following must be true? |
Each of five salespeople—F, G, H, I, and J—will present a different one of a company's products—L, M, N, O, and P—at a convention running from Monday through Wednesday. Exactly two products will be presented on Monday, exactly one on Tuesday, and exactly two on Wednesday. The scheduling of presentations is governed by ... | 199602_3-G_2_7 | [
"F presents product M.",
"G presents product L.",
"I presents product N.",
"Product O is presented on Wednesday.",
"Product P is presented on Wednesday."
] | 3 | If salespeople H and I present products on Monday, which one of the following must be true? |
Each of five salespeople—F, G, H, I, and J—will present a different one of a company's products—L, M, N, O, and P—at a convention running from Monday through Wednesday. Exactly two products will be presented on Monday, exactly one on Tuesday, and exactly two on Wednesday. The scheduling of presentations is governed by ... | 199602_3-G_2_8 | [
"H presents product O.",
"I presents product N.",
"I presents product O.",
"F makes a presentation on Monday.",
"F makes a presentation on Wednesday."
] | 2 | If G presents product P on Wednesday, then any of the following could be true EXCEPT: |
Each of five salespeople—F, G, H, I, and J—will present a different one of a company's products—L, M, N, O, and P—at a convention running from Monday through Wednesday. Exactly two products will be presented on Monday, exactly one on Tuesday, and exactly two on Wednesday. The scheduling of presentations is governed by ... | 199602_3-G_2_9 | [
"G presents product P.",
"I presents product O.",
"J presents product L.",
"F presents a product on Monday.",
"G presents a product on Monday."
] | 3 | If products M and P are presented on Monday, which one of the following could be true? |
Each of five salespeople—F, G, H, I, and J—will present a different one of a company's products—L, M, N, O, and P—at a convention running from Monday through Wednesday. Exactly two products will be presented on Monday, exactly one on Tuesday, and exactly two on Wednesday. The scheduling of presentations is governed by ... | 199602_3-G_2_10 | [
"F presents product O or else product P.",
"F presents neither product O nor product P.",
"H presents product O or else product P.",
"I presents product O or else product P.",
"J presents neither product O nor product P."
] | 4 | If product O is presented on the same day as product P, which one of the following must be true? |
The seven members of an academic department are each to be assigned a different room as an office. The department members are professors F and G, lecturers Q, R, and S, and instructors V and W. The available rooms are seven consecutive rooms along one side of a straight hallway numbered sequentially 101 through 107. Th... | 199602_3-G_3_11 | [
"Q, R",
"Q, S",
"Q, V",
"R, W",
"S, V"
] | 1 | If F and G are assigned rooms that have exactly one room between them, which one of the following is the list of department members each of whom could be assigned to the intervening room? |
The seven members of an academic department are each to be assigned a different room as an office. The department members are professors F and G, lecturers Q, R, and S, and instructors V and W. The available rooms are seven consecutive rooms along one side of a straight hallway numbered sequentially 101 through 107. Th... | 199602_3-G_3_12 | [
"101: V; 102: W; 103: R",
"101: V; 102: W, 104: R",
"101: V; 103: W; 104: R",
"103: W; 104: V; 106: R",
"105: R; 106: W; 107: V"
] | 2 | Which one of the following is a possible assignment of rooms for members R, V, and W? |
The seven members of an academic department are each to be assigned a different room as an office. The department members are professors F and G, lecturers Q, R, and S, and instructors V and W. The available rooms are seven consecutive rooms along one side of a straight hallway numbered sequentially 101 through 107. Th... | 199602_3-G_3_13 | [
"F",
"G",
"Q",
"V",
"W"
] | 0 | If R is assigned room 104, which one of the following must be assigned either room 103 or else room 105? |
The seven members of an academic department are each to be assigned a different room as an office. The department members are professors F and G, lecturers Q, R, and S, and instructors V and W. The available rooms are seven consecutive rooms along one side of a straight hallway numbered sequentially 101 through 107. Th... | 199602_3-G_3_14 | [
"one",
"two",
"three",
"four",
"five"
] | 0 | What is the greatest number of rooms that could be between the rooms to which F and G are assigned? |
The seven members of an academic department are each to be assigned a different room as an office. The department members are professors F and G, lecturers Q, R, and S, and instructors V and W. The available rooms are seven consecutive rooms along one side of a straight hallway numbered sequentially 101 through 107. Th... | 199602_3-G_3_15 | [
"F",
"G",
"Q",
"S",
"V"
] | 4 | Which one of the following CANNOT be assigned room 104? |
The seven members of an academic department are each to be assigned a different room as an office. The department members are professors F and G, lecturers Q, R, and S, and instructors V and W. The available rooms are seven consecutive rooms along one side of a straight hallway numbered sequentially 101 through 107. Th... | 199602_3-G_3_16 | [
"F is assigned either room 103 or else room 104.",
"Q is assigned either room 102 or else room 106.",
"R is assigned either room 102 or else room 105.",
"S is assigned either room 104 or else room 105.",
"V is assigned either room 101 or else room 107."
] | 4 | If no two faculty members of the same rank are assigned adjacent rooms, which one of the following must be true? |
The seven members of an academic department are each to be assigned a different room as an office. The department members are professors F and G, lecturers Q, R, and S, and instructors V and W. The available rooms are seven consecutive rooms along one side of a straight hallway numbered sequentially 101 through 107. Th... | 199602_3-G_3_17 | [
"W",
"V",
"S",
"R",
"Q"
] | 3 | If F and G are not assigned rooms that are next to each other, which one of the following CANNOT be assigned room 107? |
The coordinator of an exhibition will select at least four and at most six rugs from a group of eight rugs made up of two oval wool rugs, three rectangular wool rugs, one oval silk rug, and two rectangular silk rugs according to the following conditions: At least two oval rugs must be selected. The number of wool rugs ... | 199602_3-G_4_18 | [
"one oval silk rug, one oval wool rug, and two rectangular wool rugs",
"one oval silk rug, one rectangular wool rug, and two rectangular silk rugs",
"two oval wool rugs, one rectangular silk rug, and two rectangular wool rugs",
"two oval wool rugs, one rectangular silk rug, and one rectangular wool rug",
"t... | 3 | Which one of the following is an acceptable selection of rugs for the exhibition? |
The coordinator of an exhibition will select at least four and at most six rugs from a group of eight rugs made up of two oval wool rugs, three rectangular wool rugs, one oval silk rug, and two rectangular silk rugs according to the following conditions: At least two oval rugs must be selected. The number of wool rugs ... | 199602_3-G_4_19 | [
"one oval silk rug",
"one rectangular silk rug",
"two rectangular silk rugs",
"one oval silk rug and one rectangular silk rug",
"one oval silk rug and two rectangular silk rugs"
] | 0 | If three wool rugs are selected, then any of the following could be a complete and accurate list of the other rugs selected EXCEPT: |
The coordinator of an exhibition will select at least four and at most six rugs from a group of eight rugs made up of two oval wool rugs, three rectangular wool rugs, one oval silk rug, and two rectangular silk rugs according to the following conditions: At least two oval rugs must be selected. The number of wool rugs ... | 199602_3-G_4_20 | [
"one oval silk rug",
"two oval wool rugs",
"three oval rugs",
"two rectangular wool rugs",
"three rectangular wool rugs"
] | 4 | The rugs selected for the exhibition can include any of the following EXCEPT: |
The coordinator of an exhibition will select at least four and at most six rugs from a group of eight rugs made up of two oval wool rugs, three rectangular wool rugs, one oval silk rug, and two rectangular silk rugs according to the following conditions: At least two oval rugs must be selected. The number of wool rugs ... | 199602_3-G_4_21 | [
"one oval rug and two rectangular rugs",
"two oval rugs and one rectangular rug",
"two oval rugs and two rectangular rugs",
"two oval rugs and three rectangular rugs",
"three rectangular rugs"
] | 1 | If only one silk rug is selected for the exhibition, then the other rugs selected must be a group made up of |
The coordinator of an exhibition will select at least four and at most six rugs from a group of eight rugs made up of two oval wool rugs, three rectangular wool rugs, one oval silk rug, and two rectangular silk rugs according to the following conditions: At least two oval rugs must be selected. The number of wool rugs ... | 199602_3-G_4_22 | [
"one oval rug and three rectangular wool rugs",
"two oval rugs and two rectangular wool rugs",
"three oval rugs and one rectangular silk rug",
"three oval rugs and one rectangular wool rug",
"two rectangular silk rugs and two rectangular wool rugs"
] | 2 | If exactly four rugs are selected, then the rugs selected could be |
The coordinator of an exhibition will select at least four and at most six rugs from a group of eight rugs made up of two oval wool rugs, three rectangular wool rugs, one oval silk rug, and two rectangular silk rugs according to the following conditions: At least two oval rugs must be selected. The number of wool rugs ... | 199602_3-G_4_23 | [
"one oval wool rug",
"two oval wool rugs",
"one oval wool rug and one rectangular wool rug",
"one oval wool rug and two rectangular wool rugs",
"two oval wool rugs and one rectangular wool rug"
] | 0 | If all three silk rugs are selected, then each of the following could be a complete and accurate list of the other rugs selected EXCEPT: |
The coordinator of an exhibition will select at least four and at most six rugs from a group of eight rugs made up of two oval wool rugs, three rectangular wool rugs, one oval silk rug, and two rectangular silk rugs according to the following conditions: At least two oval rugs must be selected. The number of wool rugs ... | 199602_3-G_4_24 | [
"exactly one of the oval rugs",
"the two oval wool rugs",
"the two rectangular silk rugs",
"exactly three of the rectangular rugs",
"all three rectangular wool rugs"
] | 2 | If exactly six rugs are selected, they must include |
During a period of six consecutive days—day 1 through day 6—each of exactly six factories—F, G, H, J, Q, and R—will be inspected. During this period, each of the factories will be inspected exactly once, one factory per day. The schedule for the inspections must conform to the following conditions: F is inspected on ei... | 199606_1-G_1_1 | [
"F, Q, R, H, J, G",
"G, H, J, Q, R, F",
"G, J, Q, H, R, F",
"G, J, Q, R, F, H",
"J, H, G, Q, R, F"
] | 1 | Which one of the following could be a list of the factories in the order of their scheduled inspections, from day 1 thought day 6? |
During a period of six consecutive days—day 1 through day 6—each of exactly six factories—F, G, H, J, Q, and R—will be inspected. During this period, each of the factories will be inspected exactly once, one factory per day. The schedule for the inspections must conform to the following conditions: F is inspected on ei... | 199606_1-G_1_2 | [
"The inspection of G is scheduled for day 4.",
"The inspection of H is scheduled for day 6.",
"The inspection of J is scheduled for day 4.",
"The inspection of Q is scheduled for day 3.",
"The inspection of R is scheduled for day 2."
] | 4 | Which one of the following must be false? |
During a period of six consecutive days—day 1 through day 6—each of exactly six factories—F, G, H, J, Q, and R—will be inspected. During this period, each of the factories will be inspected exactly once, one factory per day. The schedule for the inspections must conform to the following conditions: F is inspected on ei... | 199606_1-G_1_3 | [
"G",
"H",
"J",
"Q",
"R"
] | 2 | The inspection of which one of the following CANNOT be scheduled for day 5 ? |
During a period of six consecutive days—day 1 through day 6—each of exactly six factories—F, G, H, J, Q, and R—will be inspected. During this period, each of the factories will be inspected exactly once, one factory per day. The schedule for the inspections must conform to the following conditions: F is inspected on ei... | 199606_1-G_1_4 | [
"G and H",
"G and R",
"H and G",
"R and J",
"R and H"
] | 4 | The inspection scheduled for day 3 and day 5, respectively, could be those of |
During a period of six consecutive days—day 1 through day 6—each of exactly six factories—F, G, H, J, Q, and R—will be inspected. During this period, each of the factories will be inspected exactly once, one factory per day. The schedule for the inspections must conform to the following conditions: F is inspected on ei... | 199606_1-G_1_5 | [
"The inspection of either G or H is scheduled for day 1.",
"The inspection of either G or J is scheduled for day 1.",
"The inspection of either G or J is scheduled for day 2.",
"The inspection of either H or J is scheduled for day 3.",
"The inspection of either H or J is scheduled for day 4."
] | 3 | If the inspection of R is scheduled for the day immediately before the inspection of F, which one of the following must be true about the schedule? |
During a period of six consecutive days—day 1 through day 6—each of exactly six factories—F, G, H, J, Q, and R—will be inspected. During this period, each of the factories will be inspected exactly once, one factory per day. The schedule for the inspections must conform to the following conditions: F is inspected on ei... | 199606_1-G_1_6 | [
"F, J",
"G, H",
"G, H, J",
"F, G, H",
"F, G, H, J"
] | 3 | If the inspection of G and of H are scheduled, not necessarily in that order, for days as far apart as possible, which one of the following is a complete and accurate list of the factories any one of which could be scheduled for inspection for day 1? |
During a period of six consecutive days—day 1 through day 6—each of exactly six factories—F, G, H, J, Q, and R—will be inspected. During this period, each of the factories will be inspected exactly once, one factory per day. The schedule for the inspections must conform to the following conditions: F is inspected on ei... | 199606_1-G_1_7 | [
"The inspection of G is scheduled for day 5.",
"The inspection of H is scheduled for day 6.",
"The inspection of J is scheduled for day 2.",
"The inspection of Q is scheduled for day 4.",
"The inspection of R is scheduled for day 3."
] | 2 | If the inspection of G is scheduled for the day immediately before the inspection of Q, which one of the following could be true? |
In a theater company, four two-day workshops—Lighting, Production, Rehearsals, and Staging—are conducted over the course of five days, Monday through Friday. The workshops are conducted in a manner consistent with the following constraints: The two days on which a given workshop is in session are consecutive. On each o... | 199606_1-G_2_8 | [
"Only one workshop is in session on Thursday.",
"Only one workshop is in session on Friday.",
"The workshop on Rehearsals is in session on Tuesday.",
"The workshop on Staging is in session on Thursday.",
"The workshops in Rehearsals and Production are both in session on Wednesday."
] | 1 | Which one of the following could be true? |
In a theater company, four two-day workshops—Lighting, Production, Rehearsals, and Staging—are conducted over the course of five days, Monday through Friday. The workshops are conducted in a manner consistent with the following constraints: The two days on which a given workshop is in session are consecutive. On each o... | 199606_1-G_2_9 | [
"The workshop on Lighting is in session on Wednesday, and the workshop on Rehearsals is in session on Tuesday.",
"The workshop on Lighting is in session on Wednesday, and the only workshop in session on Thursday is the workshop on Rehearsals.",
"The workshop on Lighting is in session on Wednesday, and the only ... | 2 | Which one of the following could be true? |
In a theater company, four two-day workshops—Lighting, Production, Rehearsals, and Staging—are conducted over the course of five days, Monday through Friday. The workshops are conducted in a manner consistent with the following constraints: The two days on which a given workshop is in session are consecutive. On each o... | 199606_1-G_2_10 | [
"The workshop on Lighting is in session on Monday.",
"The workshop on Rehearsals is in session on Wednesday.",
"The workshop on Staging is in session on Thursday .",
"The workshop on Staging is in session on Monday.",
"The workshop on Staging is in session on Wednesday."
] | 0 | If the workshop on Production is in session on Wednesday, which one of the following must be true? |
In a theater company, four two-day workshops—Lighting, Production, Rehearsals, and Staging—are conducted over the course of five days, Monday through Friday. The workshops are conducted in a manner consistent with the following constraints: The two days on which a given workshop is in session are consecutive. On each o... | 199606_1-G_2_11 | [
"The workshop on Lighting is in session both on Tuesday and on Wednesday.",
"The workshop on Rehearsals is in session both on Wednesday and on Thursday.",
"The workshop on Staging is in session both on Monday and on Tuesday.",
"The workshop on Lighting is in session on the same two days as is the workshop on ... | 0 | If the workshop on production is the only workshop in session on Friday, which one of the following must be false? |
In a theater company, four two-day workshops—Lighting, Production, Rehearsals, and Staging—are conducted over the course of five days, Monday through Friday. The workshops are conducted in a manner consistent with the following constraints: The two days on which a given workshop is in session are consecutive. On each o... | 199606_1-G_2_12 | [
"The workshops on Rehearsals and Staging are both in session on Tuesday.",
"The workshop on Rehearsals is the only workshop in session on Wednesday.",
"The workshop on Staging is the only workshop in session on Wednesday.",
"The workshops on Staging and Rehearsals are both in session on Wednesday and on Thurs... | 2 | If the workshop on Lighting is the only workshop in session on Monday, which one of the following could be true? |
Each of two boats, boat 1 and boat 2, will be assigned exactly four people. Exactly eight people, three adults—F, G, and H—and five children—V, W, X, Y, and Z—must be assigned to the boats according to the following conditions: Each boat is assigned at least one adult. If F is assigned to boat 2, G is assigned to boat ... | 199606_1-G_3_13 | [
"F, G, H, X",
"F, H, W, Y",
"F, H, Y, Z",
"F, V, W, X",
"G, H, X, Y"
] | 2 | Which one of the following is an acceptable assignment of people to boat I ? |
Each of two boats, boat 1 and boat 2, will be assigned exactly four people. Exactly eight people, three adults—F, G, and H—and five children—V, W, X, Y, and Z—must be assigned to the boats according to the following conditions: Each boat is assigned at least one adult. If F is assigned to boat 2, G is assigned to boat ... | 199606_1-G_3_14 | [
"F and Y",
"G and H",
"G and Y",
"V and W",
"Y and Z"
] | 4 | If F is assigned to boat 2, which one of the following is a pair of people who could be assigned to the same boat as each other? |
Each of two boats, boat 1 and boat 2, will be assigned exactly four people. Exactly eight people, three adults—F, G, and H—and five children—V, W, X, Y, and Z—must be assigned to the boats according to the following conditions: Each boat is assigned at least one adult. If F is assigned to boat 2, G is assigned to boat ... | 199606_1-G_3_15 | [
"F and H",
"G and Y",
"H and W",
"V and W",
"W and Y"
] | 2 | If exactly three children are assigned to boat 1, which one of the following is a pair of people who could both be assigned to boat 2? |
Each of two boats, boat 1 and boat 2, will be assigned exactly four people. Exactly eight people, three adults—F, G, and H—and five children—V, W, X, Y, and Z—must be assigned to the boats according to the following conditions: Each boat is assigned at least one adult. If F is assigned to boat 2, G is assigned to boat ... | 199606_1-G_3_16 | [
"H is assigned to boat 2.",
"V is assigned to boat 2.",
"Exactly one adult is assigned to boat 1.",
"Exactly two adults are assigned to boat 2.",
"Exactly two children are assigned to boat 2."
] | 0 | If G is assigned to boat 1, which one of the following must be true? |
Each of two boats, boat 1 and boat 2, will be assigned exactly four people. Exactly eight people, three adults—F, G, and H—and five children—V, W, X, Y, and Z—must be assigned to the boats according to the following conditions: Each boat is assigned at least one adult. If F is assigned to boat 2, G is assigned to boat ... | 199606_1-G_3_17 | [
"F and H",
"F and Y",
"G and X",
"W and X",
"Y and Z"
] | 1 | If V and W are assigned to the same boat as each other, which one of the following is a pair of people who must also be assigned to the same boat as each other? |
Each of two boats, boat 1 and boat 2, will be assigned exactly four people. Exactly eight people, three adults—F, G, and H—and five children—V, W, X, Y, and Z—must be assigned to the boats according to the following conditions: Each boat is assigned at least one adult. If F is assigned to boat 2, G is assigned to boat ... | 199606_1-G_3_18 | [
"F",
"G",
"H",
"V",
"Y"
] | 0 | If H is assigned to a different boat than Y, which one of the following must be assigned to boat 1? |
Each of two boats, boat 1 and boat 2, will be assigned exactly four people. Exactly eight people, three adults—F, G, and H—and five children—V, W, X, Y, and Z—must be assigned to the boats according to the following conditions: Each boat is assigned at least one adult. If F is assigned to boat 2, G is assigned to boat ... | 199606_1-G_3_19 | [
"F is assigned to boat 1.",
"G is assigned to boat 2.",
"H is assigned to boat 2.",
"V is assigned to boat 1.",
"Z is assigned to boat 2."
] | 1 | If exactly one adult is assigned to boat 1, which one of the following must be true? |
Each of nine students—Faith, Gregory, Harlan, Jennifer, Kenji, Lisa, Marcus, Nari, and Paul—will be assigned to exactly one of three panels: Oceans, Recycling, and Wetlands. Exactly three of the students will be assigned to each panel. The assignment of students to panels must meet the following conditions: Faith is as... | 199606_1-G_4_20 | [
"Oceans: Faith, Gregory, Jennifer Recycling: Kenji, Lisa, Nari Wetlands: Harlan, Marcus, Paul",
"Oceans: Faith, Jennifer, Lisa Recycling: Harlan, Kenji, Marcus Wetlands: Gregory, Nari, Paul",
"Oceans: Harlan, Kenji, Marcus Recycling: Faith, Gregory, Jennifer Wetlands: Lisa, Nari, Paul",
"Oceans: Jennifer, Ken... | 4 | Which one of the following is an acceptable assignment of students to the panels? |
Each of nine students—Faith, Gregory, Harlan, Jennifer, Kenji, Lisa, Marcus, Nari, and Paul—will be assigned to exactly one of three panels: Oceans, Recycling, and Wetlands. Exactly three of the students will be assigned to each panel. The assignment of students to panels must meet the following conditions: Faith is as... | 199606_1-G_4_21 | [
"Harlan is assigned to the Recycling panel.",
"Jennifer is assigned to the Oceans panel.",
"Kenji is assigned to the Recycling panel.",
"Lisa is assigned to the Wetlands panel.",
"Nari is assigned to the Oceans panel."
] | 0 | If Marcus and Paul are both assigned to the Wetlands panel, which one of the following must be true? |
Each of nine students—Faith, Gregory, Harlan, Jennifer, Kenji, Lisa, Marcus, Nari, and Paul—will be assigned to exactly one of three panels: Oceans, Recycling, and Wetlands. Exactly three of the students will be assigned to each panel. The assignment of students to panels must meet the following conditions: Faith is as... | 199606_1-G_4_22 | [
"Faith and Harlan",
"Gregory and Paul",
"Harlan and Marcus",
"Faith and Marcus",
"Jennifer and Marcus"
] | 2 | Which one of the following is a pair of students who could be assigned to the same panel as each other? |
Each of nine students—Faith, Gregory, Harlan, Jennifer, Kenji, Lisa, Marcus, Nari, and Paul—will be assigned to exactly one of three panels: Oceans, Recycling, and Wetlands. Exactly three of the students will be assigned to each panel. The assignment of students to panels must meet the following conditions: Faith is as... | 199606_1-G_4_23 | [
"Faith is assigned to the Wetlands panel.",
"Gregory is assigned to the Recycling panel.",
"Harlan is assigned to the Oceans panel.",
"Jennifer is assigned to the Wetlands panel.",
"Lisa is assigned to the Recycling panel."
] | 3 | If Kenji and Paul are both assigned to the Recycling panel, which one of the following could be true? |
Each of nine students—Faith, Gregory, Harlan, Jennifer, Kenji, Lisa, Marcus, Nari, and Paul—will be assigned to exactly one of three panels: Oceans, Recycling, and Wetlands. Exactly three of the students will be assigned to each panel. The assignment of students to panels must meet the following conditions: Faith is as... | 199606_1-G_4_24 | [
"Gregory and Kenji",
"Gregory and Lisa",
"Kenji and Nari",
"Lisa and Marcus",
"Lisa and Paul"
] | 0 | Each of the following is a pair of students who could be assigned to the same panel as each other EXCEPT: |
Each of seven travelers—Norris, Oribe, Paulsen, Rosen, Semonelli, Tan, and Underwood—will be assigned to exactly one of nine airplane seats. The seats are numbered from 1 through 9 and arranged in rows as follows: Front row: 1 2 3 Middle row: 4 5 6 Last row: 7 8 9 Only seats in the same row as each other are immediatel... | 199610_3-G_1_1 | [
"Norris, Semonelli",
"Oribe, Underwood",
"Paulsen, Oribe",
"Rosen, Semonelli",
"Underwood, Tan"
] | 0 | Which one of the following is a pair of travelers who could be assigned to seats 2 and 8, respectively? |
Each of seven travelers—Norris, Oribe, Paulsen, Rosen, Semonelli, Tan, and Underwood—will be assigned to exactly one of nine airplane seats. The seats are numbered from 1 through 9 and arranged in rows as follows: Front row: 1 2 3 Middle row: 4 5 6 Last row: 7 8 9 Only seats in the same row as each other are immediatel... | 199610_3-G_1_2 | [
"Norris is assigned to seat 2.",
"Paulsen is assigned to seat 5.",
"Rosen is assigned to seat 4.",
"Tan is assigned to seat 2.",
"Underwood is assigned to seat 1."
] | 0 | If Semonelli and Underwood are not assigned to seats in the same row as each other, which one of the following must be false? |
Each of seven travelers—Norris, Oribe, Paulsen, Rosen, Semonelli, Tan, and Underwood—will be assigned to exactly one of nine airplane seats. The seats are numbered from 1 through 9 and arranged in rows as follows: Front row: 1 2 3 Middle row: 4 5 6 Last row: 7 8 9 Only seats in the same row as each other are immediatel... | 199610_3-G_1_3 | [
"Oribe",
"Rosen",
"Semonelli",
"Tan",
"Underwood"
] | 3 | If Semonelli is assigned to a seat in the same row as Underwood, which one of the following travelers could be assigned to a seat immediately beside one of the unassigned seats? |
Each of seven travelers—Norris, Oribe, Paulsen, Rosen, Semonelli, Tan, and Underwood—will be assigned to exactly one of nine airplane seats. The seats are numbered from 1 through 9 and arranged in rows as follows: Front row: 1 2 3 Middle row: 4 5 6 Last row: 7 8 9 Only seats in the same row as each other are immediatel... | 199610_3-G_1_4 | [
"Tan is assigned to a seat in the front row.",
"Tan is assigned to a seat in the last row.",
"Oribe is assigned to a seat immediately beside Semonelli.",
"Oribe is assigned to a seat immediately beside Tan.",
"Semonelli is assigned to a seat immediately beside Underwood."
] | 0 | If the seat to which Tan is assigned is immediately beside a seat assigned to another traveler and also immediately beside one of the unassigned seats, which one of the following must be true? |
Each of seven travelers—Norris, Oribe, Paulsen, Rosen, Semonelli, Tan, and Underwood—will be assigned to exactly one of nine airplane seats. The seats are numbered from 1 through 9 and arranged in rows as follows: Front row: 1 2 3 Middle row: 4 5 6 Last row: 7 8 9 Only seats in the same row as each other are immediatel... | 199610_3-G_1_5 | [
"Oribe is assigned to seat 8.",
"Tan is assigned to seat 2.",
"Underwood is assigned to seat 1.",
"Seat 4 is unassigned.",
"Seat 9 is unassigned."
] | 1 | If Oribe is assigned to a seat immediately beside one of the unassigned seats, which one of the following must be true? |
A university library budget committee must reduce exactly five of eight areas of expenditure—G, L, M, N, P, R, S, and W—in accordance with the following conditions: If both G and S are reduced, W is also reduced. If N is reduced, neither R nor S is reduced. If P is reduced, L is not reduced. Of the three areas L, M, an... | 199610_3-G_2_6 | [
"G, L, M, N, W",
"G, L, M, P, W",
"G, M, N, R, W",
"G, M, P, R, S",
"L, M, R, S, W"
] | 0 | Which one of the following could be a complete and accurate list of the areas of expenditure reduced by the committee? |
A university library budget committee must reduce exactly five of eight areas of expenditure—G, L, M, N, P, R, S, and W—in accordance with the following conditions: If both G and S are reduced, W is also reduced. If N is reduced, neither R nor S is reduced. If P is reduced, L is not reduced. Of the three areas L, M, an... | 199610_3-G_2_7 | [
"G, M, P, S",
"L, M, N, R",
"L, M, P, S",
"M, N, P, S",
"M, P, R, S"
] | 4 | If W is reduced, which one of the following could be a complete and accurate list of the four other areas of expenditure to be reduced? |
A university library budget committee must reduce exactly five of eight areas of expenditure—G, L, M, N, P, R, S, and W—in accordance with the following conditions: If both G and S are reduced, W is also reduced. If N is reduced, neither R nor S is reduced. If P is reduced, L is not reduced. Of the three areas L, M, an... | 199610_3-G_2_8 | [
"G, M",
"M, R",
"N, R",
"R, S",
"S, W"
] | 1 | If P is reduced, which one of the following is a pair of areas of expenditure both of which must be reduced? |
A university library budget committee must reduce exactly five of eight areas of expenditure—G, L, M, N, P, R, S, and W—in accordance with the following conditions: If both G and S are reduced, W is also reduced. If N is reduced, neither R nor S is reduced. If P is reduced, L is not reduced. Of the three areas L, M, an... | 199610_3-G_2_9 | [
"G, M",
"G, P",
"N, R",
"N, W",
"P, S"
] | 0 | If both L and S are reduced, which one of the following could be a pair of areas of expenditure both of which are reduced? |
A university library budget committee must reduce exactly five of eight areas of expenditure—G, L, M, N, P, R, S, and W—in accordance with the following conditions: If both G and S are reduced, W is also reduced. If N is reduced, neither R nor S is reduced. If P is reduced, L is not reduced. Of the three areas L, M, an... | 199610_3-G_2_10 | [
"G is reduced.",
"N is not reduced.",
"P is reduced.",
"S is reduced.",
"W is not reduced."
] | 0 | If R is not reduced, which one of the following must be true? |
A university library budget committee must reduce exactly five of eight areas of expenditure—G, L, M, N, P, R, S, and W—in accordance with the following conditions: If both G and S are reduced, W is also reduced. If N is reduced, neither R nor S is reduced. If P is reduced, L is not reduced. Of the three areas L, M, an... | 199610_3-G_2_11 | [
"G, L",
"G, N",
"L, N",
"L, P",
"P, S"
] | 2 | If both M and R are reduced, which one of the following is a pair of areas neither of which could be reduced? |
A university library budget committee must reduce exactly five of eight areas of expenditure—G, L, M, N, P, R, S, and W—in accordance with the following conditions: If both G and S are reduced, W is also reduced. If N is reduced, neither R nor S is reduced. If P is reduced, L is not reduced. Of the three areas L, M, an... | 199610_3-G_2_12 | [
"G",
"L",
"N",
"P",
"W"
] | 4 | Which one of the following areas must be reduced? |
A jeweler makes a single strand of beads by threading onto a string in a single direction from a clasp a series of solid-colored beads. Each bead is either green, orange, purple, red, or yellow. The resulting strand satisfies the following specifications: If a purple bead is adjacent to a yellow bead, any bead that imm... | 199610_3-G_3_13 | [
"green, red, purple, yellow, red, orange, green, purple",
"orange, yellow, red, red, yellow, purple, red, green",
"purple, yellow, red, green, green, orange, yellow, orange",
"red, orange, red, yellow, purple, green, yellow, green",
"red, yellow, purple, red, green, red, green, green"
] | 2 | If the strand has exactly eight beads, which one of the following is an acceptable order, starting from the clasp, for the eight beads? |
A jeweler makes a single strand of beads by threading onto a string in a single direction from a clasp a series of solid-colored beads. Each bead is either green, orange, purple, red, or yellow. The resulting strand satisfies the following specifications: If a purple bead is adjacent to a yellow bead, any bead that imm... | 199610_3-G_3_14 | [
"green, orange",
"green, red",
"purple, purple",
"yellow, green",
"yellow, purple"
] | 3 | If an orange bead is the fourth bead from the clasp, which one of the following is a pair that could be the second and third beads, respectively? |
A jeweler makes a single strand of beads by threading onto a string in a single direction from a clasp a series of solid-colored beads. Each bead is either green, orange, purple, red, or yellow. The resulting strand satisfies the following specifications: If a purple bead is adjacent to a yellow bead, any bead that imm... | 199610_3-G_3_15 | [
"The first bead is purple.",
"The fifth bead is green.",
"The fifth bead is orange.",
"The eighth bead is orange.",
"The eighth bead is yellow."
] | 2 | If on an eight-bead strand the second, third, and fourth beads from the clasp are red, green, and yellow, respectively, and the sixth and seventh beads are purple and red, respectively, then which one of the following must be true? |
A jeweler makes a single strand of beads by threading onto a string in a single direction from a clasp a series of solid-colored beads. Each bead is either green, orange, purple, red, or yellow. The resulting strand satisfies the following specifications: If a purple bead is adjacent to a yellow bead, any bead that imm... | 199610_3-G_3_16 | [
"green and orange, respectively",
"orange and green, respectively",
"orange and yellow, respectively",
"purple and orange, respectively",
"yellow and purple, respectively"
] | 4 | If on a six-bead strand the first and second beads from the clasp are purple and yellow, respectively, then the fifth and sixth beads CANNOT be |
A jeweler makes a single strand of beads by threading onto a string in a single direction from a clasp a series of solid-colored beads. Each bead is either green, orange, purple, red, or yellow. The resulting strand satisfies the following specifications: If a purple bead is adjacent to a yellow bead, any bead that imm... | 199610_3-G_3_17 | [
"The seventh bead is orange.",
"The eighth bead is green.",
"The eighth bead is red.",
"The ninth bead is red.",
"The ninth bead is yellow."
] | 4 | If on a nine-bead strand the first and fourth beads from the clasp are purple, and the second and fifth beads are yellow, which one of the following could be true? |
A jeweler makes a single strand of beads by threading onto a string in a single direction from a clasp a series of solid-colored beads. Each bead is either green, orange, purple, red, or yellow. The resulting strand satisfies the following specifications: If a purple bead is adjacent to a yellow bead, any bead that imm... | 199610_3-G_3_18 | [
"green and orange, respectively",
"green and purple, respectively",
"purple and orange, respectively",
"purple and yellow, respectively",
"yellow and orange, respectively"
] | 3 | If on an eight-bead strand the first, second, third, and fourth beads from the clasp are red, yellow, green, and red, respectively, then the fifth and sixth beads CANNOT be |
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_19 | [
"X, T, Y, O, P, Z",
"X, Z, Y, T, O, P",
"Y, O, P, X, T, Z",
"Y, P, O, Z, T, X",
"Y, X, O, P, Z, T"
] | 4 | Which one of the following is an acceptable schedule for the performance of the songs, in order from the first to last song performed? |
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_20 | [
"George performs X.",
"Helen performs O.",
"Helen performs T.",
"Leslie performs P.",
"Leslie performs X."
] | 2 | Which one of the following must be true about the program? |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.