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There are exactly six groups in this year's Civic Parade: firefighters, gymnasts, jugglers, musicians, puppeteers, and veterans. Each group marches as a unit; the groups are ordered from first, at the front of the parade, to sixth, at the back. The following conditions apply: At least two groups march behind the puppeteers but ahead of the musicians. Exactly one group marches behind the firefighters but ahead of the veterans. The gymnasts are the first, third, or fifth group.
|
200406_4-G_1_1
|
[
"firefighters, puppeteers, veterans, musicians, gymnasts, jugglers",
"gymnasts, puppeteers, jugglers, musicians, firefighters, veterans",
"veterans, puppeteers, firefighters, gymnasts, jugglers, musicians",
"jugglers, puppeteers, gymnasts, firefighters, musicians, veterans",
"musicians, veterans, jugglers, firefighters, gymnasts, puppeteers"
] | 3 |
Which one of the following could be an accurate list of the groups in the Civic Parade in order from first to last?
|
There are exactly six groups in this year's Civic Parade: firefighters, gymnasts, jugglers, musicians, puppeteers, and veterans. Each group marches as a unit; the groups are ordered from first, at the front of the parade, to sixth, at the back. The following conditions apply: At least two groups march behind the puppeteers but ahead of the musicians. Exactly one group marches behind the firefighters but ahead of the veterans. The gymnasts are the first, third, or fifth group.
|
200406_4-G_1_2
|
[
"gymnasts",
"jugglers",
"musicians",
"puppeteers",
"veterans"
] | 4 |
If the gymnasts march immediately ahead of the veterans, then which one of the following could be the fourth group?
|
There are exactly six groups in this year's Civic Parade: firefighters, gymnasts, jugglers, musicians, puppeteers, and veterans. Each group marches as a unit; the groups are ordered from first, at the front of the parade, to sixth, at the back. The following conditions apply: At least two groups march behind the puppeteers but ahead of the musicians. Exactly one group marches behind the firefighters but ahead of the veterans. The gymnasts are the first, third, or fifth group.
|
200406_4-G_1_3
|
[
"firefighters",
"gymnasts",
"jugglers",
"musicians",
"veterans"
] | 0 |
If the veterans march immediately behind the puppeteers, then which one of the following could be the second group?
|
There are exactly six groups in this year's Civic Parade: firefighters, gymnasts, jugglers, musicians, puppeteers, and veterans. Each group marches as a unit; the groups are ordered from first, at the front of the parade, to sixth, at the back. The following conditions apply: At least two groups march behind the puppeteers but ahead of the musicians. Exactly one group marches behind the firefighters but ahead of the veterans. The gymnasts are the first, third, or fifth group.
|
200406_4-G_1_4
|
[
"The puppeteers are the first group.",
"The firefighters are the first group.",
"The veterans are the second group.",
"The gymnasts are the third group.",
"The musicians are the sixth group."
] | 4 |
If the jugglers are the fifth group, then which one of the following must be true?
|
There are exactly six groups in this year's Civic Parade: firefighters, gymnasts, jugglers, musicians, puppeteers, and veterans. Each group marches as a unit; the groups are ordered from first, at the front of the parade, to sixth, at the back. The following conditions apply: At least two groups march behind the puppeteers but ahead of the musicians. Exactly one group marches behind the firefighters but ahead of the veterans. The gymnasts are the first, third, or fifth group.
|
200406_4-G_1_5
|
[
"firefighters",
"jugglers",
"musicians",
"puppeteers",
"veterans"
] | 1 |
Which one of the following groups CANNOT march immediately behind the gymnasts?
|
A rowing team uses a boat with exactly six seats arranged in single file and numbered sequentially 1 through 6, from the front of the boat to the back. Six athletes—Lee, Miller, Ovitz, Singh, Valerio, and Zita—each row at exactly one of the seats. The following restrictions must apply: Miller rows closer to the front than Singh. Singh rows closer to the front than both Lee and Valerio. Valerio and Zita each row closer to the front than Ovitz.
|
200406_4-G_2_6
|
[
"Miller: seat 1; Valerio: seat 5; Lee: seat 6",
"Singh: seat 3; Valerio: seat 4; Zita: seat 5",
"Miller: seat 1; Valerio: seat 3; Lee: seat 6",
"Lee: seat 3; Valerio: seat 4; Ovitz: seat 5",
"Zita: seat 2; Valerio: seat 3; Ovitz: seat 6"
] | 2 |
Which one of the following could be an accurate matching of athletes to seats?
|
A rowing team uses a boat with exactly six seats arranged in single file and numbered sequentially 1 through 6, from the front of the boat to the back. Six athletes—Lee, Miller, Ovitz, Singh, Valerio, and Zita—each row at exactly one of the seats. The following restrictions must apply: Miller rows closer to the front than Singh. Singh rows closer to the front than both Lee and Valerio. Valerio and Zita each row closer to the front than Ovitz.
|
200406_4-G_2_7
|
[
"Miller rows at seat 1.",
"Singh rows at seat 2.",
"Zita rows at seat 3.",
"Lee rows at seat 4.",
"Ovitz rows at seat 6."
] | 4 |
If Valerio rows at seat 5, then which one of the following must be true?
|
A rowing team uses a boat with exactly six seats arranged in single file and numbered sequentially 1 through 6, from the front of the boat to the back. Six athletes—Lee, Miller, Ovitz, Singh, Valerio, and Zita—each row at exactly one of the seats. The following restrictions must apply: Miller rows closer to the front than Singh. Singh rows closer to the front than both Lee and Valerio. Valerio and Zita each row closer to the front than Ovitz.
|
200406_4-G_2_8
|
[
"Zita rows immediately behind Valerio.",
"Ovitz rows immediately behind Valerio.",
"Ovitz rows immediately behind Zita.",
"Valerio rows immediately behind Lee.",
"Singh rows immediately behind Zita."
] | 4 |
If Lee rows at seat 3, then each of the following could be true EXCEPT:
|
A rowing team uses a boat with exactly six seats arranged in single file and numbered sequentially 1 through 6, from the front of the boat to the back. Six athletes—Lee, Miller, Ovitz, Singh, Valerio, and Zita—each row at exactly one of the seats. The following restrictions must apply: Miller rows closer to the front than Singh. Singh rows closer to the front than both Lee and Valerio. Valerio and Zita each row closer to the front than Ovitz.
|
200406_4-G_2_9
|
[
"Ovitz rows closer to the front than Singh.",
"Zita rows closer to the front than Miller.",
"Lee rows closer to the front than Valerio.",
"Singh rows closer to the front than Zita.",
"Valerio rows closer to the front than Lee."
] | 0 |
Which one of the following CANNOT be true?
|
A rowing team uses a boat with exactly six seats arranged in single file and numbered sequentially 1 through 6, from the front of the boat to the back. Six athletes—Lee, Miller, Ovitz, Singh, Valerio, and Zita—each row at exactly one of the seats. The following restrictions must apply: Miller rows closer to the front than Singh. Singh rows closer to the front than both Lee and Valerio. Valerio and Zita each row closer to the front than Ovitz.
|
200406_4-G_2_10
|
[
"two",
"three",
"four",
"five",
"six"
] | 3 |
Exactly how many different seats could be the seat occupied by Zita?
|
A rowing team uses a boat with exactly six seats arranged in single file and numbered sequentially 1 through 6, from the front of the boat to the back. Six athletes—Lee, Miller, Ovitz, Singh, Valerio, and Zita—each row at exactly one of the seats. The following restrictions must apply: Miller rows closer to the front than Singh. Singh rows closer to the front than both Lee and Valerio. Valerio and Zita each row closer to the front than Ovitz.
|
200406_4-G_2_11
|
[
"Miller rows immediately in front of Singh.",
"Lee rows immediately in front of Valerio.",
"Zita rows immediately in front of Ovitz.",
"Singh rows immediately in front of Lee.",
"Singh rows immediately in front of Valerio."
] | 0 |
If Valerio rows closer to the front than Zita, then which one of the following must be true?
|
A rowing team uses a boat with exactly six seats arranged in single file and numbered sequentially 1 through 6, from the front of the boat to the back. Six athletes—Lee, Miller, Ovitz, Singh, Valerio, and Zita—each row at exactly one of the seats. The following restrictions must apply: Miller rows closer to the front than Singh. Singh rows closer to the front than both Lee and Valerio. Valerio and Zita each row closer to the front than Ovitz.
|
200406_4-G_2_12
|
[
"Singh: seat 1; Zita: seat 2; Miller: seat 6",
"Singh: seat 1; Valerio: seat 3; Ovitz: seat 5",
"Singh: seat 3; Lee: seat 4; Valerio: seat 5",
"Valerio: seat 3; Miller: seat 4; Lee: seat 5",
"Valerio: seat 4; Miller: seat 5; Ovitz: seat 6"
] | 2 |
Suppose the restriction that Miller rows closer to the front than Singh is replaced by the restriction that Singh rows closer to the front than Miller. If the other two restrictions remain in effect, then each of the following could be an accurate matching of athletes to seats EXCEPT:
|
Exactly six of an artist's paintings, entitled Quarterion, Redemption, Sipapu, Tesseract, Vale, and Zelkova, are sold at auction. Three of the paintings are sold to a museum, and three are sold to a private collector. Two of the paintings are from the artist's first (earliest) period, two are from her second period, and two are from her third (most recent) period. The private collector and the museum each buy one painting from each period. The following conditions hold: Sipapu, which is sold to the private collector, is from an earlier period than Zelkova, which is sold to the museum. Quarterion is not from an earlier period than Tesseract. Vale is from the artist's second period.
|
200406_4-G_3_13
|
[
"museum: Quarterion, Vale, Zelkova private collector: Redemption, Sipapu, Tesseract",
"museum: Redemption, Zelkova, Quarterion private collector: Sipapu, Vale, Tesseract",
"museum: Sipapu, Zelkova, Quarterion private collector: Tesseract, Vale, Redemption",
"museum: Tesseract, Quarterion, Zelkova private collector: Sipapu, Redemption, Vale",
"museum: Zelkova, Tesseract, Redemption private collector: Sipapu, Vale, Quarterion"
] | 1 |
Which one of the following could be an accurate list of the paintings bought by the museum and the private collector, listed in order of the paintings' periods, from first to third?
|
Exactly six of an artist's paintings, entitled Quarterion, Redemption, Sipapu, Tesseract, Vale, and Zelkova, are sold at auction. Three of the paintings are sold to a museum, and three are sold to a private collector. Two of the paintings are from the artist's first (earliest) period, two are from her second period, and two are from her third (most recent) period. The private collector and the museum each buy one painting from each period. The following conditions hold: Sipapu, which is sold to the private collector, is from an earlier period than Zelkova, which is sold to the museum. Quarterion is not from an earlier period than Tesseract. Vale is from the artist's second period.
|
200406_4-G_3_14
|
[
"Quarterion and Zelkova",
"Redemption and Tesseract",
"Redemption and Vale",
"Redemption and Zelkova",
"Tesseract and Zelkova"
] | 1 |
If Sipapu is from the artist's second period, which one of the following could be two of the three paintings bought by the private collector?
|
Exactly six of an artist's paintings, entitled Quarterion, Redemption, Sipapu, Tesseract, Vale, and Zelkova, are sold at auction. Three of the paintings are sold to a museum, and three are sold to a private collector. Two of the paintings are from the artist's first (earliest) period, two are from her second period, and two are from her third (most recent) period. The private collector and the museum each buy one painting from each period. The following conditions hold: Sipapu, which is sold to the private collector, is from an earlier period than Zelkova, which is sold to the museum. Quarterion is not from an earlier period than Tesseract. Vale is from the artist's second period.
|
200406_4-G_3_15
|
[
"Quarterion, Redemption",
"Redemption, Sipapu",
"Quarterion, Sipapu, Tesseract",
"Quarterion, Redemption, Sipapu, Tesseract",
"Redemption, Sipapu, Tesseract, Zelkova"
] | 3 |
Which one of the following is a complete and accurate list of the paintings, any one of which could be the painting from the artist's first period that is sold to the private collector?
|
Exactly six of an artist's paintings, entitled Quarterion, Redemption, Sipapu, Tesseract, Vale, and Zelkova, are sold at auction. Three of the paintings are sold to a museum, and three are sold to a private collector. Two of the paintings are from the artist's first (earliest) period, two are from her second period, and two are from her third (most recent) period. The private collector and the museum each buy one painting from each period. The following conditions hold: Sipapu, which is sold to the private collector, is from an earlier period than Zelkova, which is sold to the museum. Quarterion is not from an earlier period than Tesseract. Vale is from the artist's second period.
|
200406_4-G_3_16
|
[
"Redemption",
"Sipapu",
"Tesseract",
"Vale",
"Zelkova"
] | 1 |
If Sipapu is from the artist's second period, then which one of the following paintings could be from the period immediately preceding Quarterion's period and be sold to the same buyer as Quarterion?
|
Exactly six of an artist's paintings, entitled Quarterion, Redemption, Sipapu, Tesseract, Vale, and Zelkova, are sold at auction. Three of the paintings are sold to a museum, and three are sold to a private collector. Two of the paintings are from the artist's first (earliest) period, two are from her second period, and two are from her third (most recent) period. The private collector and the museum each buy one painting from each period. The following conditions hold: Sipapu, which is sold to the private collector, is from an earlier period than Zelkova, which is sold to the museum. Quarterion is not from an earlier period than Tesseract. Vale is from the artist's second period.
|
200406_4-G_3_17
|
[
"Quarterion is sold to the museum.",
"Quarterion is from the artist's third period.",
"Redemption is sold to the private collector.",
"Redemption is from the artist's third period.",
"Redemption is sold to the same buyer as Vale."
] | 1 |
If Zelkova is sold to the same buyer as Tesseract and is from the period immediately preceding Tesseract's period, then which one of the following must be true?
|
Each of exactly six lunch trucks sells a different one of six kinds of food: falafel, hot dogs, ice cream, pitas, salad, or tacos. Each truck serves one or more of exactly three office buildings: X, Y, or Z. The following conditions apply: The falafel truck, the hot dog truck, and exactly one other truck each serve Y. The falafel truck serves exactly two of the office buildings. The ice cream truck serves more of the office buildings than the salad truck. The taco truck does not serve Y. The falafel truck does not serve any office building that the pita truck serves. The taco truck serves two office buildings that are also served by the ice cream truck.
|
200406_4-G_4_18
|
[
"X",
"X, Z",
"X, Y, Z",
"Y, Z",
"Z"
] | 3 |
Which one of the following could be a complete and accurate list of each of the office buildings that the falafel truck serves?
|
Each of exactly six lunch trucks sells a different one of six kinds of food: falafel, hot dogs, ice cream, pitas, salad, or tacos. Each truck serves one or more of exactly three office buildings: X, Y, or Z. The following conditions apply: The falafel truck, the hot dog truck, and exactly one other truck each serve Y. The falafel truck serves exactly two of the office buildings. The ice cream truck serves more of the office buildings than the salad truck. The taco truck does not serve Y. The falafel truck does not serve any office building that the pita truck serves. The taco truck serves two office buildings that are also served by the ice cream truck.
|
200406_4-G_4_19
|
[
"the hot dog truck and the pita truck",
"the hot dog truck and the taco truck",
"the ice cream truck and the pita truck",
"the ice cream truck and the salad truck",
"the salad truck and the taco truck"
] | 2 |
For which one of the following pairs of trucks must it be the case that at least one of the office buildings is served by both of the trucks?
|
Each of exactly six lunch trucks sells a different one of six kinds of food: falafel, hot dogs, ice cream, pitas, salad, or tacos. Each truck serves one or more of exactly three office buildings: X, Y, or Z. The following conditions apply: The falafel truck, the hot dog truck, and exactly one other truck each serve Y. The falafel truck serves exactly two of the office buildings. The ice cream truck serves more of the office buildings than the salad truck. The taco truck does not serve Y. The falafel truck does not serve any office building that the pita truck serves. The taco truck serves two office buildings that are also served by the ice cream truck.
|
200406_4-G_4_20
|
[
"the falafel truck and the hot dog truck",
"the falafel truck and the salad truck",
"the ice cream truck and the pita truck",
"the ice cream truck and the salad truck",
"the ice cream truck and the taco truck"
] | 4 |
If the ice cream truck serves fewer of the office buildings than the hot dog truck, then which one of the following is a pair of lunch trucks that must serve exactly the same buildings as each other?
|
Each of exactly six lunch trucks sells a different one of six kinds of food: falafel, hot dogs, ice cream, pitas, salad, or tacos. Each truck serves one or more of exactly three office buildings: X, Y, or Z. The following conditions apply: The falafel truck, the hot dog truck, and exactly one other truck each serve Y. The falafel truck serves exactly two of the office buildings. The ice cream truck serves more of the office buildings than the salad truck. The taco truck does not serve Y. The falafel truck does not serve any office building that the pita truck serves. The taco truck serves two office buildings that are also served by the ice cream truck.
|
200406_4-G_4_21
|
[
"the hot dog truck, the ice cream truck",
"the hot dog truck, the salad truck",
"the ice cream truck, the taco truck",
"the hot dog truck, the ice cream truck, the pita truck",
"the ice cream truck, the pita truck, the salad truck"
] | 0 |
Which one of the following could be a complete and accurate list of the lunch trucks, each of which serves all three of the office buildings?
|
Each of exactly six lunch trucks sells a different one of six kinds of food: falafel, hot dogs, ice cream, pitas, salad, or tacos. Each truck serves one or more of exactly three office buildings: X, Y, or Z. The following conditions apply: The falafel truck, the hot dog truck, and exactly one other truck each serve Y. The falafel truck serves exactly two of the office buildings. The ice cream truck serves more of the office buildings than the salad truck. The taco truck does not serve Y. The falafel truck does not serve any office building that the pita truck serves. The taco truck serves two office buildings that are also served by the ice cream truck.
|
200406_4-G_4_22
|
[
"the hot dog truck",
"the ice cream truck",
"the pita truck",
"the salad truck",
"the taco truck"
] | 2 |
Which one of the following lunch trucks CANNOT serve both X and Z?
|
In the course of one month Garibaldi has exactly seven different meetings. Each of her meetings is with exactly one of five foreign dignitaries: Fuentes, Matsuba, Rhee, Soleimani, or Tbahi. The following constraints govern Garibaldi's meetings: She has exactly three meetings with Fuentes, and exactly one with each of the other dignitaries. She does not have any meetings in a row with Fuentes. Her meeting with Soleimani is the very next one after her meeting with Tbahi. Neither the first nor last of her meetings is with Matsuba.
|
200410_3-G_1_1
|
[
"Fuentes, Rhee, Tbahi, Soleimani, Fuentes, Matsuba, Rhee",
"Fuentes, Tbahi, Soleimani, Matsuba, Fuentes, Fuentes, Rhee",
"Fuentes, Rhee, Fuentes, Matsuba, Fuentes, Tbahi, Soleimani",
"Fuentes, Tbahi, Matsuba, Fuentes, Soleimani, Rhee, Fuentes",
"Fuentes, Tbahi, Soleimani, Fuentes, Rhee, Fuentes, Matsuba"
] | 2 |
Which one of the following could be the sequence of the meetings Garibaldi has with the dignitaries?
|
In the course of one month Garibaldi has exactly seven different meetings. Each of her meetings is with exactly one of five foreign dignitaries: Fuentes, Matsuba, Rhee, Soleimani, or Tbahi. The following constraints govern Garibaldi's meetings: She has exactly three meetings with Fuentes, and exactly one with each of the other dignitaries. She does not have any meetings in a row with Fuentes. Her meeting with Soleimani is the very next one after her meeting with Tbahi. Neither the first nor last of her meetings is with Matsuba.
|
200410_3-G_1_2
|
[
"Garibaldi's second meeting is with Soleimani.",
"Garibaldi's third meeting is with Matsuba.",
"Garibaldi's fourth meeting is with Soleimani.",
"Garibaldi's fifth meeting is with Matsuba.",
"Garibaldi's sixth meeting is with Soleimani."
] | 3 |
If Garibaldi's last meeting is with Rhee, then which one of the following could be true?
|
In the course of one month Garibaldi has exactly seven different meetings. Each of her meetings is with exactly one of five foreign dignitaries: Fuentes, Matsuba, Rhee, Soleimani, or Tbahi. The following constraints govern Garibaldi's meetings: She has exactly three meetings with Fuentes, and exactly one with each of the other dignitaries. She does not have any meetings in a row with Fuentes. Her meeting with Soleimani is the very next one after her meeting with Tbahi. Neither the first nor last of her meetings is with Matsuba.
|
200410_3-G_1_3
|
[
"Fuentes, Soleimani, Rhee",
"Matsuba, Rhee, Tbahi",
"Matsuba, Soleimani",
"Rhee, Tbahi",
"Fuentes, Soleimani"
] | 4 |
If Garibaldi's second meeting is with Fuentes, then which one of the following is a complete and accurate list of the dignitaries with any one of whom Garibaldi's fourth meeting could be?
|
In the course of one month Garibaldi has exactly seven different meetings. Each of her meetings is with exactly one of five foreign dignitaries: Fuentes, Matsuba, Rhee, Soleimani, or Tbahi. The following constraints govern Garibaldi's meetings: She has exactly three meetings with Fuentes, and exactly one with each of the other dignitaries. She does not have any meetings in a row with Fuentes. Her meeting with Soleimani is the very next one after her meeting with Tbahi. Neither the first nor last of her meetings is with Matsuba.
|
200410_3-G_1_4
|
[
"Garibaldi's third meeting is with Fuentes.",
"Garibaldi's fourth meeting is with Rhee.",
"Garibaldi's fifth meeting is with Fuentes.",
"Garibaldi's sixth meeting is with Rhee.",
"Garibaldi's seventh meeting is with Fuentes."
] | 4 |
If Garibaldi's meeting with Rhee is the very next one after Garibaldi's meeting with Soleimani, then which one of the following must be true?
|
In the course of one month Garibaldi has exactly seven different meetings. Each of her meetings is with exactly one of five foreign dignitaries: Fuentes, Matsuba, Rhee, Soleimani, or Tbahi. The following constraints govern Garibaldi's meetings: She has exactly three meetings with Fuentes, and exactly one with each of the other dignitaries. She does not have any meetings in a row with Fuentes. Her meeting with Soleimani is the very next one after her meeting with Tbahi. Neither the first nor last of her meetings is with Matsuba.
|
200410_3-G_1_5
|
[
"second meeting",
"third meeting",
"fifth meeting",
"sixth meeting",
"seventh meeting"
] | 3 |
If Garibaldi's first meeting is with Tbahi, then Garibaldi's meeting with Rhee could be the
|
In the course of one month Garibaldi has exactly seven different meetings. Each of her meetings is with exactly one of five foreign dignitaries: Fuentes, Matsuba, Rhee, Soleimani, or Tbahi. The following constraints govern Garibaldi's meetings: She has exactly three meetings with Fuentes, and exactly one with each of the other dignitaries. She does not have any meetings in a row with Fuentes. Her meeting with Soleimani is the very next one after her meeting with Tbahi. Neither the first nor last of her meetings is with Matsuba.
|
200410_3-G_1_6
|
[
"Fuentes",
"Matsuba",
"Rhee",
"Soleimani",
"Tbahi"
] | 0 |
If Garibaldi's meeting with Matsuba is the very next meeting after Garibaldi's meeting with Rhee, then with which one of the following dignitaries must Garibaldi's fourth meeting be?
|
During a certain week, an animal shelter places exactly six dogs—a greyhound, a husky, a keeshond, a Labrador retriever, a poodle, and a schnauzer—with new owners. Two are placed on Monday, two on Tuesday, and the remaining two on Wednesday, consistent with the following conditions: The Labrador retriever is placed on the same day as the poodle. The greyhound is not placed on the same day as the husky. If the keeshond is placed on Monday, the greyhound is placed on Tuesday. If the schnauzer is placed on Wednesday, the husky is placed on Tuesday.
|
200410_3-G_2_7
|
[
"Monday: greyhound, Labrador retriever Tuesday: husky, poodle Wednesday: keeshond, schnauzer",
"Monday: greyhound, keeshond Tuesday: Labrador retriever, poodle Wednesday: husky, schnauzer",
"Monday: keeshond, schnauzer Tuesday: greyhound, husky Wednesday: Labrador retriever, poodle",
"Monday: Labrador retriever, poodle Tuesday: greyhound, keeshond Wednesday: husky, schnauzer",
"Monday: Labrador retriever, poodle Tuesday: husky, keeshond Wednesday: greyhound, schnauzer"
] | 4 |
Which one of the following could be a complete and accurate matching of dogs to the days on which they are placed?
|
During a certain week, an animal shelter places exactly six dogs—a greyhound, a husky, a keeshond, a Labrador retriever, a poodle, and a schnauzer—with new owners. Two are placed on Monday, two on Tuesday, and the remaining two on Wednesday, consistent with the following conditions: The Labrador retriever is placed on the same day as the poodle. The greyhound is not placed on the same day as the husky. If the keeshond is placed on Monday, the greyhound is placed on Tuesday. If the schnauzer is placed on Wednesday, the husky is placed on Tuesday.
|
200410_3-G_2_8
|
[
"The keeshond is not placed on the same day as the greyhound.",
"The keeshond is not placed on the same day as the schnauzer.",
"The schnauzer is not placed on the same day as the husky.",
"The greyhound is placed on the same day as the schnauzer.",
"The husky is placed on the same day as the keeshond."
] | 1 |
Which one of the following must be true?
|
During a certain week, an animal shelter places exactly six dogs—a greyhound, a husky, a keeshond, a Labrador retriever, a poodle, and a schnauzer—with new owners. Two are placed on Monday, two on Tuesday, and the remaining two on Wednesday, consistent with the following conditions: The Labrador retriever is placed on the same day as the poodle. The greyhound is not placed on the same day as the husky. If the keeshond is placed on Monday, the greyhound is placed on Tuesday. If the schnauzer is placed on Wednesday, the husky is placed on Tuesday.
|
200410_3-G_2_9
|
[
"The greyhound is placed on Monday.",
"The keeshond is placed on Monday.",
"The Labrador retriever is placed on Monday.",
"The husky is placed on Tuesday.",
"The schnauzer is placed on Wednesday."
] | 0 |
If the poodle is placed on Tuesday, then which one of the following could be true?
|
During a certain week, an animal shelter places exactly six dogs—a greyhound, a husky, a keeshond, a Labrador retriever, a poodle, and a schnauzer—with new owners. Two are placed on Monday, two on Tuesday, and the remaining two on Wednesday, consistent with the following conditions: The Labrador retriever is placed on the same day as the poodle. The greyhound is not placed on the same day as the husky. If the keeshond is placed on Monday, the greyhound is placed on Tuesday. If the schnauzer is placed on Wednesday, the husky is placed on Tuesday.
|
200410_3-G_2_10
|
[
"The husky is placed on Monday.",
"The Labrador retriever is placed on Monday.",
"The keeshond is placed on Tuesday.",
"The poodle is not placed on Wednesday.",
"The schnauzer is not placed on Wednesday."
] | 4 |
If the greyhound is placed on the same day as the keeshond, then which one of the following must be true?
|
During a certain week, an animal shelter places exactly six dogs—a greyhound, a husky, a keeshond, a Labrador retriever, a poodle, and a schnauzer—with new owners. Two are placed on Monday, two on Tuesday, and the remaining two on Wednesday, consistent with the following conditions: The Labrador retriever is placed on the same day as the poodle. The greyhound is not placed on the same day as the husky. If the keeshond is placed on Monday, the greyhound is placed on Tuesday. If the schnauzer is placed on Wednesday, the husky is placed on Tuesday.
|
200410_3-G_2_11
|
[
"The husky is placed on Monday.",
"The keeshond is placed on Monday.",
"The greyhound is placed on Tuesday.",
"The poodle is placed on Tuesday.",
"The poodle is placed on Wednesday."
] | 3 |
If the husky is placed the day before the schnauzer, then which one of the following CANNOT be true?
|
During a certain week, an animal shelter places exactly six dogs—a greyhound, a husky, a keeshond, a Labrador retriever, a poodle, and a schnauzer—with new owners. Two are placed on Monday, two on Tuesday, and the remaining two on Wednesday, consistent with the following conditions: The Labrador retriever is placed on the same day as the poodle. The greyhound is not placed on the same day as the husky. If the keeshond is placed on Monday, the greyhound is placed on Tuesday. If the schnauzer is placed on Wednesday, the husky is placed on Tuesday.
|
200410_3-G_2_12
|
[
"the husky",
"the keeshond",
"the Labrador retriever",
"the poodle",
"the schnauzer"
] | 0 |
If the greyhound is placed the day before the poodle, then which one of the following CANNOT be placed on Tuesday?
|
A tour group plans to visit exactly five archaeological sites. Each site was discovered by exactly one of the following archaeologists—Ferrara, Gallagher, Oliphant—and each dates from the eighth, ninth, or tenth century (A.D.). The tour must satisfy the following conditions: The site visited second dates from the ninth century. Neither the site visited fourth nor the site visited fifth was discovered by Oliphant. Exactly one of the sites was discovered by Gallagher, and it dates from the tenth century. If a site dates from the eighth century, it was discovered by Oliphant. The site visited third dates from a more recent century than does either the site visited first or that visited fourth.
|
200410_3-G_3_13
|
[
"Oliphant, Oliphant, Gallagher, Oliphant, Ferrara",
"Gallagher, Oliphant, Ferrara, Ferrara, Ferrara",
"Oliphant, Gallagher, Oliphant, Ferrara, Ferrara",
"Oliphant, Oliphant, Gallagher, Ferrara, Gallagher",
"Ferrara, Oliphant, Gallagher, Ferrara, Ferrara"
] | 4 |
Which one of the following could be an accurate list of the discoverers of the five sites, listed in the order in which the sites are visited?
|
A tour group plans to visit exactly five archaeological sites. Each site was discovered by exactly one of the following archaeologists—Ferrara, Gallagher, Oliphant—and each dates from the eighth, ninth, or tenth century (A.D.). The tour must satisfy the following conditions: The site visited second dates from the ninth century. Neither the site visited fourth nor the site visited fifth was discovered by Oliphant. Exactly one of the sites was discovered by Gallagher, and it dates from the tenth century. If a site dates from the eighth century, it was discovered by Oliphant. The site visited third dates from a more recent century than does either the site visited first or that visited fourth.
|
200410_3-G_3_14
|
[
"the site visited first",
"the site visited second",
"the site visited third",
"the site visited fourth",
"the site visited fifth"
] | 2 |
If exactly one of the five sites the tour group visits dates from the tenth century, then which one of the following CANNOT be a site that was discovered by Ferrara?
|
A tour group plans to visit exactly five archaeological sites. Each site was discovered by exactly one of the following archaeologists—Ferrara, Gallagher, Oliphant—and each dates from the eighth, ninth, or tenth century (A.D.). The tour must satisfy the following conditions: The site visited second dates from the ninth century. Neither the site visited fourth nor the site visited fifth was discovered by Oliphant. Exactly one of the sites was discovered by Gallagher, and it dates from the tenth century. If a site dates from the eighth century, it was discovered by Oliphant. The site visited third dates from a more recent century than does either the site visited first or that visited fourth.
|
200410_3-G_3_15
|
[
"the site visited first",
"the site visited second",
"the site visited third",
"the site visited fourth",
"the site visited fifth"
] | 0 |
Which one of the following could be a site that dates from the eighth century?
|
A tour group plans to visit exactly five archaeological sites. Each site was discovered by exactly one of the following archaeologists—Ferrara, Gallagher, Oliphant—and each dates from the eighth, ninth, or tenth century (A.D.). The tour must satisfy the following conditions: The site visited second dates from the ninth century. Neither the site visited fourth nor the site visited fifth was discovered by Oliphant. Exactly one of the sites was discovered by Gallagher, and it dates from the tenth century. If a site dates from the eighth century, it was discovered by Oliphant. The site visited third dates from a more recent century than does either the site visited first or that visited fourth.
|
200410_3-G_3_16
|
[
"third, fourth, fifth",
"second, third, fourth",
"first, fourth, fifth",
"first, second, fifth",
"first, second, fourth"
] | 4 |
Which one of the following is a complete and accurate list of the sites each of which CANNOT be the site discovered by Gallagher?
|
A tour group plans to visit exactly five archaeological sites. Each site was discovered by exactly one of the following archaeologists—Ferrara, Gallagher, Oliphant—and each dates from the eighth, ninth, or tenth century (A.D.). The tour must satisfy the following conditions: The site visited second dates from the ninth century. Neither the site visited fourth nor the site visited fifth was discovered by Oliphant. Exactly one of the sites was discovered by Gallagher, and it dates from the tenth century. If a site dates from the eighth century, it was discovered by Oliphant. The site visited third dates from a more recent century than does either the site visited first or that visited fourth.
|
200410_3-G_3_17
|
[
"one",
"two",
"three",
"four",
"five"
] | 3 |
The tour group could visit at most how many sites that were discovered by Ferrara?
|
Each day of a five-day workweek (Monday through Friday), Anastasia parks for the entire day in exactly one of three downtown parking lots—X, Y, and Z. One of the lots costs $10 for the day, another costs $12, and the other costs $15. Anastasia parks in each of the three lots at least once during her workweek. The following conditions must apply: On Thursday, Anastasia parks in the $15 lot. Lot X costs more than lot Z. The lot Anastasia parks in on Wednesday costs more than the one she parks in on Friday. Anastasia parks in lot Z on more days of the workweek than she parks in lot X.
|
200410_3-G_4_18
|
[
"Y, Z, X, Y, Z",
"Y, Z, Z, Y, X",
"Z, Z, X, X, Y",
"Z, Z, X, X, Z",
"Z, Z, X, Z, Y"
] | 0 |
Which one of the following could be a complete and accurate list of which lot Anastasia parks in each day, listed in order from Monday through Friday?
|
Each day of a five-day workweek (Monday through Friday), Anastasia parks for the entire day in exactly one of three downtown parking lots—X, Y, and Z. One of the lots costs $10 for the day, another costs $12, and the other costs $15. Anastasia parks in each of the three lots at least once during her workweek. The following conditions must apply: On Thursday, Anastasia parks in the $15 lot. Lot X costs more than lot Z. The lot Anastasia parks in on Wednesday costs more than the one she parks in on Friday. Anastasia parks in lot Z on more days of the workweek than she parks in lot X.
|
200410_3-G_4_19
|
[
"Monday",
"Tuesday",
"Wednesday",
"Thursday",
"Friday"
] | 4 |
Anastasia CANNOT park in the $15 lot on which one of the following days?
|
Each day of a five-day workweek (Monday through Friday), Anastasia parks for the entire day in exactly one of three downtown parking lots—X, Y, and Z. One of the lots costs $10 for the day, another costs $12, and the other costs $15. Anastasia parks in each of the three lots at least once during her workweek. The following conditions must apply: On Thursday, Anastasia parks in the $15 lot. Lot X costs more than lot Z. The lot Anastasia parks in on Wednesday costs more than the one she parks in on Friday. Anastasia parks in lot Z on more days of the workweek than she parks in lot X.
|
200410_3-G_4_20
|
[
"Monday",
"Tuesday",
"Wednesday",
"Thursday",
"Friday"
] | 4 |
If lot Z is the $12 lot, then on which one of the following days must Anastasia park in lot Y?
|
Each day of a five-day workweek (Monday through Friday), Anastasia parks for the entire day in exactly one of three downtown parking lots—X, Y, and Z. One of the lots costs $10 for the day, another costs $12, and the other costs $15. Anastasia parks in each of the three lots at least once during her workweek. The following conditions must apply: On Thursday, Anastasia parks in the $15 lot. Lot X costs more than lot Z. The lot Anastasia parks in on Wednesday costs more than the one she parks in on Friday. Anastasia parks in lot Z on more days of the workweek than she parks in lot X.
|
200410_3-G_4_21
|
[
"Monday",
"Tuesday",
"Wednesday",
"Thursday",
"Friday"
] | 3 |
Anastasia CANNOT park in lot Z on which one of the following days?
|
Each day of a five-day workweek (Monday through Friday), Anastasia parks for the entire day in exactly one of three downtown parking lots—X, Y, and Z. One of the lots costs $10 for the day, another costs $12, and the other costs $15. Anastasia parks in each of the three lots at least once during her workweek. The following conditions must apply: On Thursday, Anastasia parks in the $15 lot. Lot X costs more than lot Z. The lot Anastasia parks in on Wednesday costs more than the one she parks in on Friday. Anastasia parks in lot Z on more days of the workweek than she parks in lot X.
|
200410_3-G_4_22
|
[
"Monday",
"Tuesday",
"Monday, Tuesday",
"Monday, Wednesday",
"Monday, Thursday"
] | 2 |
Which one of the following could be a complete and accurate list of the days on which Anastasia parks in the $10 lot?
|
On one afternoon, Patterson meets individually with each of exactly five clients—Reilly, Sanchez, Tang, Upton, and Yansky—and also goes to the gym by herself for a workout. Patterson's workout and her five meetings each start at either 1:00, 2:00, 3:00, 4:00, 5:00, or 6:00. The following conditions must apply: Patterson meets with Sanchez at some time before her workout. Patterson meets with Tang at some time after her workout. Patterson meets with Yansky either immediately before or immediately after her workout. Patterson meets with Upton at some time before she meets with Reilly.
|
200412_3-G_1_1
|
[
"Yansky, workout, Upton, Reilly, Sanchez, Tang",
"Upton, Tang, Sanchez, Yansky, workout, Reilly",
"Upton, Reilly, Sanchez, workout, Tang, Yansky",
"Sanchez, Yansky, workout, Reilly, Tang, Upton",
"Sanchez, Upton, workout, Yansky, Tang, Reilly"
] | 4 |
Which one of the following could be an acceptable schedule of Patterson's workout and meetings, in order from 1:00 to 6:00?
|
On one afternoon, Patterson meets individually with each of exactly five clients—Reilly, Sanchez, Tang, Upton, and Yansky—and also goes to the gym by herself for a workout. Patterson's workout and her five meetings each start at either 1:00, 2:00, 3:00, 4:00, 5:00, or 6:00. The following conditions must apply: Patterson meets with Sanchez at some time before her workout. Patterson meets with Tang at some time after her workout. Patterson meets with Yansky either immediately before or immediately after her workout. Patterson meets with Upton at some time before she meets with Reilly.
|
200412_3-G_1_2
|
[
"one",
"two",
"three",
"four",
"five"
] | 1 |
How many of the clients are there, any one of whom could meet with Patterson at 1:00?
|
On one afternoon, Patterson meets individually with each of exactly five clients—Reilly, Sanchez, Tang, Upton, and Yansky—and also goes to the gym by herself for a workout. Patterson's workout and her five meetings each start at either 1:00, 2:00, 3:00, 4:00, 5:00, or 6:00. The following conditions must apply: Patterson meets with Sanchez at some time before her workout. Patterson meets with Tang at some time after her workout. Patterson meets with Yansky either immediately before or immediately after her workout. Patterson meets with Upton at some time before she meets with Reilly.
|
200412_3-G_1_3
|
[
"1:00",
"2:00",
"3:00",
"4:00",
"5:00"
] | 2 |
Patterson CANNOT meet with Upton at which one of the following times?
|
On one afternoon, Patterson meets individually with each of exactly five clients—Reilly, Sanchez, Tang, Upton, and Yansky—and also goes to the gym by herself for a workout. Patterson's workout and her five meetings each start at either 1:00, 2:00, 3:00, 4:00, 5:00, or 6:00. The following conditions must apply: Patterson meets with Sanchez at some time before her workout. Patterson meets with Tang at some time after her workout. Patterson meets with Yansky either immediately before or immediately after her workout. Patterson meets with Upton at some time before she meets with Reilly.
|
200412_3-G_1_4
|
[
"Patterson meets with Reilly at 2:00.",
"Patterson meets with Yansky at 3:00.",
"Patterson meets with Tang at 4:00.",
"Patterson meets with Yansky at 5:00.",
"Patterson meets with Tang at 6:00."
] | 3 |
If Patterson meets with Sanchez the hour before she meets with Yansky, then each of the following could be true EXCEPT:
|
On one afternoon, Patterson meets individually with each of exactly five clients—Reilly, Sanchez, Tang, Upton, and Yansky—and also goes to the gym by herself for a workout. Patterson's workout and her five meetings each start at either 1:00, 2:00, 3:00, 4:00, 5:00, or 6:00. The following conditions must apply: Patterson meets with Sanchez at some time before her workout. Patterson meets with Tang at some time after her workout. Patterson meets with Yansky either immediately before or immediately after her workout. Patterson meets with Upton at some time before she meets with Reilly.
|
200412_3-G_1_5
|
[
"Patterson meets with Reilly at 5:00.",
"Patterson meets with Upton at 5:00.",
"Patterson meets with Yansky at 2:00.",
"Patterson meets with Yansky at 3:00.",
"Patterson's workout is at 2:00."
] | 1 |
If Patterson meets with Tang at 4:00, then which one of the following must be true?
|
On one afternoon, Patterson meets individually with each of exactly five clients—Reilly, Sanchez, Tang, Upton, and Yansky—and also goes to the gym by herself for a workout. Patterson's workout and her five meetings each start at either 1:00, 2:00, 3:00, 4:00, 5:00, or 6:00. The following conditions must apply: Patterson meets with Sanchez at some time before her workout. Patterson meets with Tang at some time after her workout. Patterson meets with Yansky either immediately before or immediately after her workout. Patterson meets with Upton at some time before she meets with Reilly.
|
200412_3-G_1_6
|
[
"Upton, Yansky, Sanchez, Reilly, Tang",
"Upton, Reilly, Sanchez, Tang, Yansky",
"Sanchez, Yansky, Reilly, Tang, Upton",
"Sanchez, Upton, Tang, Yansky, Reilly",
"Sanchez, Upton, Reilly, Yansky, Tang"
] | 4 |
Which one of the following could be the order of Patterson's meetings, from earliest to latest?
|
Exactly six people—Lulu, Nam, Ofelia, Pachai, Santiago, and Tyrone—are the only contestants in a chess tournament. The tournament consists of four games, played one after the other. Exactly two people play in each game, and each person plays in at least one game. The following conditions must apply: Tyrone does not play in the first or third game. Lulu plays in the last game. Nam plays in only one game and it is not against Pachai. Santiago plays in exactly two games, one just before and one just after the only game that Ofelia plays in.
|
200412_3-G_2_7
|
[
"first game: Pachai, Santiago; second game: Ofelia, Tyrone; third game: Pachai, Santiago; fourth game: Lulu, Nam",
"first game: Lulu, Nam; second game: Pachai, Santiago; third game: Ofelia, Tyrone; fourth game: Lulu, Santiago",
"first game: Pachai, Santiago; second game: Lulu, Tyrone; third game: Nam, Ofelia; fourth game: Lulu, Nam",
"first game: Nam, Santiago; second game: Nam, Ofelia; third game: Pachai, Santiago; fourth game: Lulu, Tyrone",
"first game: Lulu, Nam; second game: Santiago, Tyrone; third game: Lulu, Ofelia; fourth game: Pachai, Santiago"
] | 0 |
Which one of the following could be an accurate list of the contestants who play in each of the four games?
|
Exactly six people—Lulu, Nam, Ofelia, Pachai, Santiago, and Tyrone—are the only contestants in a chess tournament. The tournament consists of four games, played one after the other. Exactly two people play in each game, and each person plays in at least one game. The following conditions must apply: Tyrone does not play in the first or third game. Lulu plays in the last game. Nam plays in only one game and it is not against Pachai. Santiago plays in exactly two games, one just before and one just after the only game that Ofelia plays in.
|
200412_3-G_2_8
|
[
"Lulu",
"Nam",
"Ofelia",
"Santiago",
"Tyrone"
] | 0 |
Which one of the following contestants could play in two consecutive games?
|
Exactly six people—Lulu, Nam, Ofelia, Pachai, Santiago, and Tyrone—are the only contestants in a chess tournament. The tournament consists of four games, played one after the other. Exactly two people play in each game, and each person plays in at least one game. The following conditions must apply: Tyrone does not play in the first or third game. Lulu plays in the last game. Nam plays in only one game and it is not against Pachai. Santiago plays in exactly two games, one just before and one just after the only game that Ofelia plays in.
|
200412_3-G_2_9
|
[
"Nam plays in the second game.",
"Ofelia plays in the third game.",
"Santiago plays in the second game.",
"Nam plays a game against Lulu.",
"Pachai plays a game against Lulu."
] | 0 |
If Tyrone plays in the fourth game, then which one of the following could be true?
|
Exactly six people—Lulu, Nam, Ofelia, Pachai, Santiago, and Tyrone—are the only contestants in a chess tournament. The tournament consists of four games, played one after the other. Exactly two people play in each game, and each person plays in at least one game. The following conditions must apply: Tyrone does not play in the first or third game. Lulu plays in the last game. Nam plays in only one game and it is not against Pachai. Santiago plays in exactly two games, one just before and one just after the only game that Ofelia plays in.
|
200412_3-G_2_10
|
[
"Pachai plays against Lulu in the first game.",
"Pachai plays against Nam in the second game.",
"Santiago plays against Ofelia in the second game.",
"Pachai plays against Lulu in the third game.",
"Nam plays against Santiago in the fourth game."
] | 0 |
Which one of the following could be true?
|
Exactly six people—Lulu, Nam, Ofelia, Pachai, Santiago, and Tyrone—are the only contestants in a chess tournament. The tournament consists of four games, played one after the other. Exactly two people play in each game, and each person plays in at least one game. The following conditions must apply: Tyrone does not play in the first or third game. Lulu plays in the last game. Nam plays in only one game and it is not against Pachai. Santiago plays in exactly two games, one just before and one just after the only game that Ofelia plays in.
|
200412_3-G_2_11
|
[
"Lulu, Pachai",
"Nam, Ofelia",
"Nam, Pachai",
"Nam, Santiago",
"Ofelia, Pachai"
] | 2 |
Which one of the following is a complete and accurate list of the contestants who CANNOT play against Tyrone in any game?
|
Exactly six people—Lulu, Nam, Ofelia, Pachai, Santiago, and Tyrone—are the only contestants in a chess tournament. The tournament consists of four games, played one after the other. Exactly two people play in each game, and each person plays in at least one game. The following conditions must apply: Tyrone does not play in the first or third game. Lulu plays in the last game. Nam plays in only one game and it is not against Pachai. Santiago plays in exactly two games, one just before and one just after the only game that Ofelia plays in.
|
200412_3-G_2_12
|
[
"Lulu plays in the third game.",
"Nam plays in the third game.",
"Pachai plays in the first game.",
"Pachai plays in the third game.",
"Tyrone plays in the second game."
] | 4 |
If Ofelia plays in the third game, which one of the following must be true?
|
An album contains photographs picturing seven friends: Raimundo, Selma, Ty, Umiko, Wendy, Yakira, Zack. The friends appear either alone or in groups with one another, in accordance with the following: Wendy appears in every photograph that Selma appears in. Selma appears in every photograph that Umiko appears in. Raimundo appears in every photograph that Yakira does not appear in. Neither Ty nor Raimundo appears in any photograph that Wendy appears in.
|
200412_3-G_3_13
|
[
"Raimundo, Selma, Ty, Wendy",
"Raimundo, Ty, Yakira, Zack",
"Raimundo, Wendy, Yakira, Zack",
"Selma, Ty, Umiko, Yakira",
"Selma, Ty, Umiko, Zack"
] | 1 |
Which one of the following could be a complete and accurate list of the friends who appear together in a photograph?
|
An album contains photographs picturing seven friends: Raimundo, Selma, Ty, Umiko, Wendy, Yakira, Zack. The friends appear either alone or in groups with one another, in accordance with the following: Wendy appears in every photograph that Selma appears in. Selma appears in every photograph that Umiko appears in. Raimundo appears in every photograph that Yakira does not appear in. Neither Ty nor Raimundo appears in any photograph that Wendy appears in.
|
200412_3-G_3_14
|
[
"Selma also appears in the photograph.",
"Yakira also appears in the photograph.",
"Wendy also appears in the photograph.",
"Raimundo does not appear in the photograph.",
"Umiko does not appear in the photograph."
] | 4 |
If Ty and Zack appear together in a photograph, then which one of the following must be true?
|
An album contains photographs picturing seven friends: Raimundo, Selma, Ty, Umiko, Wendy, Yakira, Zack. The friends appear either alone or in groups with one another, in accordance with the following: Wendy appears in every photograph that Selma appears in. Selma appears in every photograph that Umiko appears in. Raimundo appears in every photograph that Yakira does not appear in. Neither Ty nor Raimundo appears in any photograph that Wendy appears in.
|
200412_3-G_3_15
|
[
"six",
"five",
"four",
"three",
"two"
] | 3 |
What is the maximum number of friends who could appear in a photograph that Yakira does not appear in?
|
An album contains photographs picturing seven friends: Raimundo, Selma, Ty, Umiko, Wendy, Yakira, Zack. The friends appear either alone or in groups with one another, in accordance with the following: Wendy appears in every photograph that Selma appears in. Selma appears in every photograph that Umiko appears in. Raimundo appears in every photograph that Yakira does not appear in. Neither Ty nor Raimundo appears in any photograph that Wendy appears in.
|
200412_3-G_3_16
|
[
"four",
"three",
"two",
"one",
"zero"
] | 1 |
If Umiko and Zack appear together in a photograph, then exactly how many of the other friends must also appear in that photograph?
|
An album contains photographs picturing seven friends: Raimundo, Selma, Ty, Umiko, Wendy, Yakira, Zack. The friends appear either alone or in groups with one another, in accordance with the following: Wendy appears in every photograph that Selma appears in. Selma appears in every photograph that Umiko appears in. Raimundo appears in every photograph that Yakira does not appear in. Neither Ty nor Raimundo appears in any photograph that Wendy appears in.
|
200412_3-G_3_17
|
[
"Selma and Zack both appear in the photograph.",
"Ty and Yakira both appear in the photograph.",
"Wendy and Selma both appear in the photograph.",
"Yakira and Zack both appear in the photograph.",
"Zack and Raimundo both appear in the photograph."
] | 0 |
If exactly three friends appear together in a photograph, then each of the following could be true EXCEPT:
|
The Export Alliance consists of exactly three nations: Nation X, Nation Y, and Nation Z. Each nation in the Alliance exports exactly two of the following five crops: oranges, rice, soybeans, tea, and wheat. Each of these crops is exported by at least one of the nations in the Alliance. The following conditions hold: None of the nations exports both wheat and oranges. Nation X exports soybeans if, but only if, Nation Y does also. If Nation Y exports rice, then Nations X and Z both export tea. Nation Y does not export any crop that Nation Z exports.
|
200412_3-G_4_18
|
[
"Nation X: oranges, rice; Nation Y: oranges, tea; Nation Z: soybeans, wheat",
"Nation X: oranges, tea; Nation Y: oranges, rice; Nation Z: soybeans, wheat",
"Nation X: oranges, wheat; Nation Y: oranges, tea; Nation Z: rice, soybeans",
"Nation X: rice, wheat; Nation Y: oranges, tea; Nation Z: oranges, soybeans",
"Nation X: soybeans, rice; Nation Y: oranges, tea; Nation Z: soybeans, wheat"
] | 0 |
Which one of the following could be an accurate list, for each of the nations, of the crops it exports?
|
The Export Alliance consists of exactly three nations: Nation X, Nation Y, and Nation Z. Each nation in the Alliance exports exactly two of the following five crops: oranges, rice, soybeans, tea, and wheat. Each of these crops is exported by at least one of the nations in the Alliance. The following conditions hold: None of the nations exports both wheat and oranges. Nation X exports soybeans if, but only if, Nation Y does also. If Nation Y exports rice, then Nations X and Z both export tea. Nation Y does not export any crop that Nation Z exports.
|
200412_3-G_4_19
|
[
"Nation Y exports oranges.",
"Nation Y exports rice.",
"Nation Y exports tea.",
"Nation Z exports soybeans.",
"Nation Z exports tea."
] | 0 |
If Nation X exports soybeans and tea, then which one of the following could be true?
|
The Export Alliance consists of exactly three nations: Nation X, Nation Y, and Nation Z. Each nation in the Alliance exports exactly two of the following five crops: oranges, rice, soybeans, tea, and wheat. Each of these crops is exported by at least one of the nations in the Alliance. The following conditions hold: None of the nations exports both wheat and oranges. Nation X exports soybeans if, but only if, Nation Y does also. If Nation Y exports rice, then Nations X and Z both export tea. Nation Y does not export any crop that Nation Z exports.
|
200412_3-G_4_20
|
[
"Nation X exports oranges.",
"Nation X exports tea.",
"Nation X exports wheat.",
"Nation Y exports rice.",
"Nation Y exports soybeans."
] | 4 |
If Nation Z exports tea and wheat, then which one of the following must be true?
|
The Export Alliance consists of exactly three nations: Nation X, Nation Y, and Nation Z. Each nation in the Alliance exports exactly two of the following five crops: oranges, rice, soybeans, tea, and wheat. Each of these crops is exported by at least one of the nations in the Alliance. The following conditions hold: None of the nations exports both wheat and oranges. Nation X exports soybeans if, but only if, Nation Y does also. If Nation Y exports rice, then Nations X and Z both export tea. Nation Y does not export any crop that Nation Z exports.
|
200412_3-G_4_21
|
[
"oranges",
"rice",
"soybeans",
"tea",
"wheat"
] | 2 |
It CANNOT be the case that both Nation X and Nation Z export which one of the following crops?
|
The Export Alliance consists of exactly three nations: Nation X, Nation Y, and Nation Z. Each nation in the Alliance exports exactly two of the following five crops: oranges, rice, soybeans, tea, and wheat. Each of these crops is exported by at least one of the nations in the Alliance. The following conditions hold: None of the nations exports both wheat and oranges. Nation X exports soybeans if, but only if, Nation Y does also. If Nation Y exports rice, then Nations X and Z both export tea. Nation Y does not export any crop that Nation Z exports.
|
200412_3-G_4_22
|
[
"oranges and rice",
"oranges and soybeans",
"rice and tea",
"rice and wheat",
"soybeans and wheat"
] | 2 |
Which one of the following pairs CANNOT be the two crops that Nation Y exports?
|
Exactly six guideposts, numbered 1 through 6, mark a mountain trail. Each guidepost pictures a different one of six animals—fox, grizzly, hare, lynx, moose, or porcupine. The following conditions must apply: The grizzly is pictured on either guidepost 3 or guidepost 4. The moose guidepost is numbered lower than the hare guidepost. The lynx guidepost is numbered lower than the moose guidepost but higher than the fox guidepost.
|
200506_4-G_1_1
|
[
"fox, lynx, grizzly, porcupine, moose, hare",
"fox, lynx, moose, hare, grizzly, porcupine",
"fox, moose, grizzly, lynx, hare, porcupine",
"lynx, fox, moose, grizzly, hare, porcupine",
"porcupine, fox, hare, grizzly, lynx, moose"
] | 0 |
Which one of the following could be an accurate list of the animals pictured on the guideposts, listed in order from guidepost 1 through guidepost 6?
|
Exactly six guideposts, numbered 1 through 6, mark a mountain trail. Each guidepost pictures a different one of six animals—fox, grizzly, hare, lynx, moose, or porcupine. The following conditions must apply: The grizzly is pictured on either guidepost 3 or guidepost 4. The moose guidepost is numbered lower than the hare guidepost. The lynx guidepost is numbered lower than the moose guidepost but higher than the fox guidepost.
|
200506_4-G_1_2
|
[
"fox",
"grizzly",
"lynx",
"moose",
"porcupine"
] | 0 |
Which one of the following animals CANNOT be the one pictured on guidepost 3?
|
Exactly six guideposts, numbered 1 through 6, mark a mountain trail. Each guidepost pictures a different one of six animals—fox, grizzly, hare, lynx, moose, or porcupine. The following conditions must apply: The grizzly is pictured on either guidepost 3 or guidepost 4. The moose guidepost is numbered lower than the hare guidepost. The lynx guidepost is numbered lower than the moose guidepost but higher than the fox guidepost.
|
200506_4-G_1_3
|
[
"guidepost 1",
"guidepost 2",
"guidepost 4",
"guidepost 5",
"guidepost 6"
] | 3 |
If the moose is pictured on guidepost 3, then which one of the following is the lowest numbered guidepost that could picture the porcupine?
|
Exactly six guideposts, numbered 1 through 6, mark a mountain trail. Each guidepost pictures a different one of six animals—fox, grizzly, hare, lynx, moose, or porcupine. The following conditions must apply: The grizzly is pictured on either guidepost 3 or guidepost 4. The moose guidepost is numbered lower than the hare guidepost. The lynx guidepost is numbered lower than the moose guidepost but higher than the fox guidepost.
|
200506_4-G_1_4
|
[
"The lynx is pictured on guidepost 2.",
"The moose is pictured on guidepost 3.",
"The grizzly is pictured on guidepost 4.",
"The porcupine is pictured on guidepost 5.",
"The hare is pictured on guidepost 6."
] | 0 |
If guidepost 5 does not picture the moose, then which one of the following must be true?
|
Exactly six guideposts, numbered 1 through 6, mark a mountain trail. Each guidepost pictures a different one of six animals—fox, grizzly, hare, lynx, moose, or porcupine. The following conditions must apply: The grizzly is pictured on either guidepost 3 or guidepost 4. The moose guidepost is numbered lower than the hare guidepost. The lynx guidepost is numbered lower than the moose guidepost but higher than the fox guidepost.
|
200506_4-G_1_5
|
[
"fox",
"hare",
"lynx",
"moose",
"porcupine"
] | 4 |
Which one of the following animals could be pictured on any one of the six guideposts?
|
Exactly six guideposts, numbered 1 through 6, mark a mountain trail. Each guidepost pictures a different one of six animals—fox, grizzly, hare, lynx, moose, or porcupine. The following conditions must apply: The grizzly is pictured on either guidepost 3 or guidepost 4. The moose guidepost is numbered lower than the hare guidepost. The lynx guidepost is numbered lower than the moose guidepost but higher than the fox guidepost.
|
200506_4-G_1_6
|
[
"Guidepost 5 pictures the hare.",
"Guidepost 4 pictures the moose.",
"Guidepost 4 pictures the porcupine.",
"Guidepost 3 pictures the lynx.",
"Guidepost 3 pictures the porcupine."
] | 0 |
If the moose guidepost is numbered exactly one higher than the lynx guidepost, then which one of the following could be true?
|
Each side of four cassette tapes—Tapes 1 through 4—contains exactly one of the following four genres: folk, hip-hop, jazz, and rock. The following conditions must apply: Each genre is found on exactly two of the eight sides. Tape 1 has jazz on at least one side, but neither hip-hop nor rock. Tape 2 has no jazz. Folk is not on any tape numbered exactly one higher than a tape that has any rock on it.
|
200506_4-G_2_7
|
[
"Tape 1: folk and jazz; Tape 2: folk and jazz; Tape 3: hip-hop and rock; Tape 4: hip-hop and rock",
"Tape 1: folk and jazz; Tape 2: folk and rock; Tape 3: hip-hop and jazz; Tape 4: hip-hop and rock",
"Tape 1: folk and jazz; Tape 2: folk and rock; Tape 3: two sides of jazz; Tape 4: two sides of hip-hop",
"Tape 1: hip-hop and jazz; Tape 2: folk and hip-hop; Tape 3: folk and jazz; Tape 4: two sides of rock",
"Tape 1: two sides of jazz; Tape 2: folk and rock; Tape 3: hip-hop and rock; Tape 4: folk and hip-hop"
] | 1 |
Which one of the following could be an accurate matching of tapes with the musical genres found on them?
|
Each side of four cassette tapes—Tapes 1 through 4—contains exactly one of the following four genres: folk, hip-hop, jazz, and rock. The following conditions must apply: Each genre is found on exactly two of the eight sides. Tape 1 has jazz on at least one side, but neither hip-hop nor rock. Tape 2 has no jazz. Folk is not on any tape numbered exactly one higher than a tape that has any rock on it.
|
200506_4-G_2_8
|
[
"If Tape 1 has two sides of jazz, Tape 4 has at least one side of rock.",
"If Tape 2 has two sides of folk, Tape 3 has at least one side of hip-hop.",
"If Tape 2 has two sides of rock, Tape 4 has at least one side of folk.",
"If Tape 3 has two sides of folk, Tape 2 has at least one side of jazz.",
"If Tape 4 has two sides of hip-hop, Tape 3 has at least one side of folk."
] | 2 |
Which one of the following must be true?
|
Each side of four cassette tapes—Tapes 1 through 4—contains exactly one of the following four genres: folk, hip-hop, jazz, and rock. The following conditions must apply: Each genre is found on exactly two of the eight sides. Tape 1 has jazz on at least one side, but neither hip-hop nor rock. Tape 2 has no jazz. Folk is not on any tape numbered exactly one higher than a tape that has any rock on it.
|
200506_4-G_2_9
|
[
"Tape 1 has jazz on both sides while Tape 4 has folk and hip-hop.",
"Tape 2 has hip-hop on one side while Tape 3 has hip-hop and jazz.",
"Tape 3 has folk on both sides while Tape 4 has jazz and rock.",
"Tape 3 has jazz on one side while Tape 4 has folk on both sides.",
"Tapes 2 and 3 each have jazz on one side."
] | 1 |
Which one of the following could be true?
|
Each side of four cassette tapes—Tapes 1 through 4—contains exactly one of the following four genres: folk, hip-hop, jazz, and rock. The following conditions must apply: Each genre is found on exactly two of the eight sides. Tape 1 has jazz on at least one side, but neither hip-hop nor rock. Tape 2 has no jazz. Folk is not on any tape numbered exactly one higher than a tape that has any rock on it.
|
200506_4-G_2_10
|
[
"Tape 1 has two sides of folk.",
"Tape 2 has both hip-hop and jazz.",
"Tape 4 has both folk and rock.",
"Tapes 1 and 4 each have a side of hip-hop.",
"Tapes 3 and 4 each have a side of folk."
] | 2 |
Which one of the following could be true?
|
Each side of four cassette tapes—Tapes 1 through 4—contains exactly one of the following four genres: folk, hip-hop, jazz, and rock. The following conditions must apply: Each genre is found on exactly two of the eight sides. Tape 1 has jazz on at least one side, but neither hip-hop nor rock. Tape 2 has no jazz. Folk is not on any tape numbered exactly one higher than a tape that has any rock on it.
|
200506_4-G_2_11
|
[
"Tape 2 has rock on both sides while Tape 3 has hip-hop on both sides.",
"Tape 3 has rock on both sides while Tape 2 has hip-hop on both sides.",
"Tape 3 has rock on both sides while Tape 4 has hip-hop on both sides.",
"Tape 4 has rock on both sides while Tape 2 has hip-hop on both sides.",
"Tape 4 has rock on both sides while Tape 3 has hip-hop on both sides."
] | 1 |
Which one of the following CANNOT be true?
|
One afternoon, a single thunderstorm passes over exactly five towns—Jackson, Lofton, Nordique, Oceana, and Plattesville—dropping some form of precipitation on each. The storm is the only source of precipitation in the towns that afternoon. On some towns, it drops both hail and rain; on the remaining towns, it drops only rain. It passes over each town exactly once and does not pass over any two towns at the same time. The following must obtain: The third town the storm passes over is Plattesville. The storm drops hail and rain on the second town it passes over. The storm drops only rain on both Lofton and Oceana. The storm passes over Jackson at some time after it passes over Lofton and at some time after it passes over Nordique.
|
200506_4-G_3_12
|
[
"Lofton, Nordique, Plattesville, Oceana, Jackson",
"Lofton, Oceana, Plattesville, Nordique, Jackson",
"Nordique, Jackson, Plattesville, Oceana, Lofton",
"Nordique, Lofton, Plattesville, Jackson, Oceana",
"Nordique, Plattesville, Lofton, Oceana, Jackson"
] | 0 |
Which one of the following could be the order, from first to fifth, in which the storm passes over the towns?
|
One afternoon, a single thunderstorm passes over exactly five towns—Jackson, Lofton, Nordique, Oceana, and Plattesville—dropping some form of precipitation on each. The storm is the only source of precipitation in the towns that afternoon. On some towns, it drops both hail and rain; on the remaining towns, it drops only rain. It passes over each town exactly once and does not pass over any two towns at the same time. The following must obtain: The third town the storm passes over is Plattesville. The storm drops hail and rain on the second town it passes over. The storm drops only rain on both Lofton and Oceana. The storm passes over Jackson at some time after it passes over Lofton and at some time after it passes over Nordique.
|
200506_4-G_3_13
|
[
"The first town the storm passes over is Oceana.",
"The fourth town the storm passes over is Lofton.",
"The fourth town the storm passes over receives hail and rain.",
"The fifth town the storm passes over is Jackson.",
"The fifth town the storm passes over receives only rain."
] | 2 |
If the storm passes over Oceana at some time before it passes over Jackson, then each of the following could be true EXCEPT:
|
One afternoon, a single thunderstorm passes over exactly five towns—Jackson, Lofton, Nordique, Oceana, and Plattesville—dropping some form of precipitation on each. The storm is the only source of precipitation in the towns that afternoon. On some towns, it drops both hail and rain; on the remaining towns, it drops only rain. It passes over each town exactly once and does not pass over any two towns at the same time. The following must obtain: The third town the storm passes over is Plattesville. The storm drops hail and rain on the second town it passes over. The storm drops only rain on both Lofton and Oceana. The storm passes over Jackson at some time after it passes over Lofton and at some time after it passes over Nordique.
|
200506_4-G_3_14
|
[
"The first town the storm passes over is Oceana.",
"The fourth town the storm passes over receives only rain.",
"The fifth town the storm passes over is Jackson.",
"Jackson receives only rain.",
"Plattesville receives only rain."
] | 4 |
If the storm drops only rain on each town it passes over after passing over Lofton, then which one of the following could be false?
|
One afternoon, a single thunderstorm passes over exactly five towns—Jackson, Lofton, Nordique, Oceana, and Plattesville—dropping some form of precipitation on each. The storm is the only source of precipitation in the towns that afternoon. On some towns, it drops both hail and rain; on the remaining towns, it drops only rain. It passes over each town exactly once and does not pass over any two towns at the same time. The following must obtain: The third town the storm passes over is Plattesville. The storm drops hail and rain on the second town it passes over. The storm drops only rain on both Lofton and Oceana. The storm passes over Jackson at some time after it passes over Lofton and at some time after it passes over Nordique.
|
200506_4-G_3_15
|
[
"The storm passes over Lofton at some time before it passes over Jackson.",
"The storm passes over Lofton at some time before it passes over Oceana.",
"The storm passes over Nordique at some time before it passes over Oceana.",
"The fourth town the storm passes over receives only rain.",
"The fifth town the storm passes over receives only rain."
] | 3 |
If the storm passes over Jackson at some time before it passes over Oceana, then which one of the following could be false?
|
One afternoon, a single thunderstorm passes over exactly five towns—Jackson, Lofton, Nordique, Oceana, and Plattesville—dropping some form of precipitation on each. The storm is the only source of precipitation in the towns that afternoon. On some towns, it drops both hail and rain; on the remaining towns, it drops only rain. It passes over each town exactly once and does not pass over any two towns at the same time. The following must obtain: The third town the storm passes over is Plattesville. The storm drops hail and rain on the second town it passes over. The storm drops only rain on both Lofton and Oceana. The storm passes over Jackson at some time after it passes over Lofton and at some time after it passes over Nordique.
|
200506_4-G_3_16
|
[
"The third town the storm passes over receives only rain.",
"The fourth town the storm passes over receives only rain.",
"The fourth town the storm passes over receives hail and rain.",
"The fifth town the storm passes over receives only rain.",
"The fifth town the storm passes over receives hail and rain."
] | 1 |
If the storm passes over Oceana at some time before it passes over Lofton, then which one of the following must be true?
|
A reporter is trying to uncover the workings of a secret committee. The committee has six members—French, Ghauri, Hsia, Irving, Magnus, and Pinsky—each of whom serves on at least one subcommittee. There are three subcommittees, each having three members, about which the following is known: One of the committee members serves on all three subcommittees. French does not serve on any subcommittee with Ghauri. Hsia does not serve on any subcommittee with Irving.
|
200506_4-G_4_17
|
[
"French serves on a subcommittee with Hsia.",
"French serves on a subcommittee with Irving.",
"Irving serves on a subcommittee with Pinsky.",
"Magnus serves on a subcommittee with Ghauri.",
"Magnus serves on a subcommittee with Irving."
] | 2 |
If French does not serve on any subcommittee with Magnus, which one of the following must be true?
|
A reporter is trying to uncover the workings of a secret committee. The committee has six members—French, Ghauri, Hsia, Irving, Magnus, and Pinsky—each of whom serves on at least one subcommittee. There are three subcommittees, each having three members, about which the following is known: One of the committee members serves on all three subcommittees. French does not serve on any subcommittee with Ghauri. Hsia does not serve on any subcommittee with Irving.
|
200506_4-G_4_18
|
[
"Magnus serves on every subcommittee on which French serves and every subcommittee on which Ghauri serves.",
"Magnus serves on every subcommittee on which Hsia serves and every subcommittee on which Irving serves.",
"Hsia serves on every subcommittee on which French serves and every subcommittee on which Ghauri serves.",
"French serves on every subcommittee on which Pinsky serves.",
"Hsia serves on every subcommittee on which Pinsky serves."
] | 2 |
If Pinsky serves on every subcommittee on which French serves and every subcommittee on which Ghauri serves, then which one of the following could be true?
|
A reporter is trying to uncover the workings of a secret committee. The committee has six members—French, Ghauri, Hsia, Irving, Magnus, and Pinsky—each of whom serves on at least one subcommittee. There are three subcommittees, each having three members, about which the following is known: One of the committee members serves on all three subcommittees. French does not serve on any subcommittee with Ghauri. Hsia does not serve on any subcommittee with Irving.
|
200506_4-G_4_19
|
[
"Magnus serves on all of the subcommittees.",
"Irving serves on more than one subcommittee.",
"Irving serves on every subcommittee on which Pinsky serves.",
"French serves on a subcommittee with Magnus.",
"Ghauri serves on a subcommittee with Magnus."
] | 1 |
If Irving serves on every subcommittee on which Magnus serves, which one of the following could be true?
|
A reporter is trying to uncover the workings of a secret committee. The committee has six members—French, Ghauri, Hsia, Irving, Magnus, and Pinsky—each of whom serves on at least one subcommittee. There are three subcommittees, each having three members, about which the following is known: One of the committee members serves on all three subcommittees. French does not serve on any subcommittee with Ghauri. Hsia does not serve on any subcommittee with Irving.
|
200506_4-G_4_20
|
[
"French serves on all three subcommittees.",
"Hsia serves on all three subcommittees.",
"Ghauri serves on every subcommittee on which Magnus serves and every subcommittee on which Pinsky serves.",
"Pinsky serves on every subcommittee on which Irving serves and every subcommittee on which Magnus serves.",
"Magnus serves on every subcommittee on which Pinsky serves, and Pinsky serves on every subcommittee on which Magnus serves."
] | 3 |
Which one of the following could be true?
|
A reporter is trying to uncover the workings of a secret committee. The committee has six members—French, Ghauri, Hsia, Irving, Magnus, and Pinsky—each of whom serves on at least one subcommittee. There are three subcommittees, each having three members, about which the following is known: One of the committee members serves on all three subcommittees. French does not serve on any subcommittee with Ghauri. Hsia does not serve on any subcommittee with Irving.
|
200506_4-G_4_21
|
[
"Ghauri serves on at least two subcommittees.",
"Irving serves on only one subcommittee.",
"French serves on a subcommittee with Hsia.",
"Ghauri serves on a subcommittee with Irving.",
"Magnus serves on a subcommittee with Pinsky."
] | 4 |
Which one of the following must be true?
|
A reporter is trying to uncover the workings of a secret committee. The committee has six members—French, Ghauri, Hsia, Irving, Magnus, and Pinsky—each of whom serves on at least one subcommittee. There are three subcommittees, each having three members, about which the following is known: One of the committee members serves on all three subcommittees. French does not serve on any subcommittee with Ghauri. Hsia does not serve on any subcommittee with Irving.
|
200506_4-G_4_22
|
[
"Every subcommittee has either French or Ghauri as a member.",
"Every subcommittee has either Hsia or Irving as a member.",
"No subcommittee consists of French, Magnus, and Pinsky.",
"Some committee member serves on exactly two subcommittees.",
"Either Magnus or Pinsky serves on only one subcommittee."
] | 3 |
Which one of the following must be true?
|
Exactly seven products—P, Q, R, S, T, W, and X—are each to be advertised exactly once in a section of a catalog. The order in which they will be displayed is governed by the following conditions: Q must be displayed in some position before W. R must be displayed immediately before X. T cannot be displayed immediately before or immediately after W. S must be displayed either first or seventh. Either Q or T must be displayed fourth.
|
200510_4-G_1_1
|
[
"P",
"Q",
"R",
"T",
"X"
] | 4 |
Which one of the following CANNOT be the product that is displayed first?
|
Exactly seven products—P, Q, R, S, T, W, and X—are each to be advertised exactly once in a section of a catalog. The order in which they will be displayed is governed by the following conditions: Q must be displayed in some position before W. R must be displayed immediately before X. T cannot be displayed immediately before or immediately after W. S must be displayed either first or seventh. Either Q or T must be displayed fourth.
|
200510_4-G_1_2
|
[
"T is displayed first.",
"R is displayed fifth.",
"Q is displayed last.",
"Q is displayed second.",
"P is displayed second."
] | 0 |
If X is displayed immediately before Q, then which one of the following could be true?
|
Exactly seven products—P, Q, R, S, T, W, and X—are each to be advertised exactly once in a section of a catalog. The order in which they will be displayed is governed by the following conditions: Q must be displayed in some position before W. R must be displayed immediately before X. T cannot be displayed immediately before or immediately after W. S must be displayed either first or seventh. Either Q or T must be displayed fourth.
|
200510_4-G_1_3
|
[
"R",
"S",
"T",
"W",
"X"
] | 2 |
If P is displayed second, then which one of the following could be displayed third?
|
Exactly seven products—P, Q, R, S, T, W, and X—are each to be advertised exactly once in a section of a catalog. The order in which they will be displayed is governed by the following conditions: Q must be displayed in some position before W. R must be displayed immediately before X. T cannot be displayed immediately before or immediately after W. S must be displayed either first or seventh. Either Q or T must be displayed fourth.
|
200510_4-G_1_4
|
[
"Q is displayed fifth.",
"Q is displayed seventh.",
"R is displayed third.",
"W is displayed third.",
"X is displayed fifth."
] | 0 |
Which one of the following could be true?
|
Exactly seven products—P, Q, R, S, T, W, and X—are each to be advertised exactly once in a section of a catalog. The order in which they will be displayed is governed by the following conditions: Q must be displayed in some position before W. R must be displayed immediately before X. T cannot be displayed immediately before or immediately after W. S must be displayed either first or seventh. Either Q or T must be displayed fourth.
|
200510_4-G_1_5
|
[
"P",
"Q",
"T",
"W",
"X"
] | 3 |
If R is displayed sixth, then which one of the following must be displayed fifth?
|
A lighting control panel has exactly seven switches, numbered from 1 to 7. Each switch is either in the on position or in the off position. The circuit load of the panel is the total number of its switches that are on. The control panel must be configured in accordance with the following conditions: If switch 1 is on, then switch 3 and switch 5 are off. If switch 4 is on, then switch 2 and switch 5 are off. The switch whose number corresponds to the circuit load of the panel is itself on.
|
200510_4-G_2_6
|
[
"switch 2, switch 3, switch 4, switch 7",
"switch 3, switch 6, switch 7",
"switch 2, switch 5, switch 6",
"switch 1, switch 3, switch 4",
"switch 1, switch 5"
] | 1 |
Which one of the following could be a complete and accurate list of the switches that are on?
|
A lighting control panel has exactly seven switches, numbered from 1 to 7. Each switch is either in the on position or in the off position. The circuit load of the panel is the total number of its switches that are on. The control panel must be configured in accordance with the following conditions: If switch 1 is on, then switch 3 and switch 5 are off. If switch 4 is on, then switch 2 and switch 5 are off. The switch whose number corresponds to the circuit load of the panel is itself on.
|
200510_4-G_2_7
|
[
"switch 2 and switch 7",
"switch 4 and switch 6",
"switch 4 and switch 7",
"switch 5 and switch 6",
"switch 6 and switch 7"
] | 0 |
If switch 1 and switch 3 are both off, then which one of the following could be two switches that are both on?
|
A lighting control panel has exactly seven switches, numbered from 1 to 7. Each switch is either in the on position or in the off position. The circuit load of the panel is the total number of its switches that are on. The control panel must be configured in accordance with the following conditions: If switch 1 is on, then switch 3 and switch 5 are off. If switch 4 is on, then switch 2 and switch 5 are off. The switch whose number corresponds to the circuit load of the panel is itself on.
|
200510_4-G_2_8
|
[
"switch 3",
"switch 4",
"switch 5",
"switch 6",
"switch 7"
] | 1 |
If exactly two of the switches are on, then which one of the following switches must be off?
|
A lighting control panel has exactly seven switches, numbered from 1 to 7. Each switch is either in the on position or in the off position. The circuit load of the panel is the total number of its switches that are on. The control panel must be configured in accordance with the following conditions: If switch 1 is on, then switch 3 and switch 5 are off. If switch 4 is on, then switch 2 and switch 5 are off. The switch whose number corresponds to the circuit load of the panel is itself on.
|
200510_4-G_2_9
|
[
"one",
"two",
"three",
"four",
"five"
] | 2 |
If switch 6 and switch 7 are both off, then what is the maximum circuit load of the panel?
|
A lighting control panel has exactly seven switches, numbered from 1 to 7. Each switch is either in the on position or in the off position. The circuit load of the panel is the total number of its switches that are on. The control panel must be configured in accordance with the following conditions: If switch 1 is on, then switch 3 and switch 5 are off. If switch 4 is on, then switch 2 and switch 5 are off. The switch whose number corresponds to the circuit load of the panel is itself on.
|
200510_4-G_2_10
|
[
"switch 1",
"switch 2",
"switch 3",
"switch 4",
"switch 7"
] | 2 |
If switch 5 and switch 6 are both on, then which one of the following switches must be on?
|
A lighting control panel has exactly seven switches, numbered from 1 to 7. Each switch is either in the on position or in the off position. The circuit load of the panel is the total number of its switches that are on. The control panel must be configured in accordance with the following conditions: If switch 1 is on, then switch 3 and switch 5 are off. If switch 4 is on, then switch 2 and switch 5 are off. The switch whose number corresponds to the circuit load of the panel is itself on.
|
200510_4-G_2_11
|
[
"three",
"four",
"five",
"six",
"seven"
] | 2 |
What is the maximum circuit load of the panel?
|
In Crescentville there are exactly five record stores, whose names are abbreviated S, T, V, X, and Z. Each of the five stores carries at least one of four distinct types of music: folk, jazz, opera, and rock. None of the stores carries any other type of music. The following conditions must hold: Exactly two of the five stores carry jazz. T carries rock and opera but no other type of music. S carries more types of music than T carries. X carries more types of music than any other store in Crescentville carries. Jazz is among the types of music S carries. V does not carry any type of music that Z carries.
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200510_4-G_3_12
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[
"S carries folk and rock but neither jazz nor opera.",
"T carries jazz but neither opera nor rock.",
"V carries folk, rock, and opera, but not jazz.",
"X carries folk, rock, and jazz, but not opera.",
"Z carries folk and opera but neither rock nor jazz."
] | 4 |
Which one of the following could be true?
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