benlipkin/arlsat huggingface dataset:
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.

Question: If Ofelia plays in the third game, which one of the following must be true?
Options:
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.
Correct option (0-indexed): 4
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.

Question: Which one of the following could be a complete and accurate list of the friends who appear together in a photograph?
Options:
Raimundo, Selma, Ty, Wendy
Raimundo, Ty, Yakira, Zack
Raimundo, Wendy, Yakira, Zack
Selma, Ty, Umiko, Yakira
Selma, Ty, Umiko, Zack
Correct option (0-indexed): 1
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.

Question: If Ty and Zack appear together in a photograph, then which one of the following must be true?
Options:
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.
Correct option (0-indexed): 4
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.

Question: What is the maximum number of friends who could appear in a photograph that Yakira does not appear in?
Options:
six
five
four
three
two
Correct option (0-indexed): 3
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.

Question: If Umiko and Zack appear together in a photograph, then exactly how many of the other friends must also appear in that photograph?
Options:
four
three
two
one
zero
Correct option (0-indexed): 1
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.

Question: If exactly three friends appear together in a photograph, then each of the following could be true EXCEPT:
Options:
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.
Correct option (0-indexed): 0
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.

Question: Which one of the following could be an accurate list, for each of the nations, of the crops it exports?
Options:
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
Correct option (0-indexed): 0
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.

Question: If Nation X exports soybeans and tea, then which one of the following could be true?
Options:
Nation Y exports oranges.
Nation Y exports rice.
Nation Y exports tea.
Nation Z exports soybeans.
Nation Z exports tea.
Correct option (0-indexed): 0
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.

Question: If Nation Z exports tea and wheat, then which one of the following must be true?
Options:
Nation X exports oranges.
Nation X exports tea.
Nation X exports wheat.
Nation Y exports rice.
Nation Y exports soybeans.
Correct option (0-indexed): 4
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.

Question: It CANNOT be the case that both Nation X and Nation Z export which one of the following crops?
Options:
oranges
rice
soybeans
tea
wheat
Correct option (0-indexed): 2
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.

Question: Which one of the following pairs CANNOT be the two crops that Nation Y exports?
Options:
oranges and rice
oranges and soybeans
rice and tea
rice and wheat
soybeans and wheat
Correct option (0-indexed): 2
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.

Question: 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?
Options:
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
Correct option (0-indexed): 0
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.

Question: Which one of the following animals CANNOT be the one pictured on guidepost 3?
Options:
fox
grizzly
lynx
moose
porcupine
Correct option (0-indexed): 0
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.

Question: If the moose is pictured on guidepost 3, then which one of the following is the lowest numbered guidepost that could picture the porcupine?
Options:
guidepost 1
guidepost 2
guidepost 4
guidepost 5
guidepost 6
Correct option (0-indexed): 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.

Question: If guidepost 5 does not picture the moose, then which one of the following must be true?
Options:
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.
Correct option (0-indexed): 0
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.

Question: Which one of the following animals could be pictured on any one of the six guideposts?
Options:
fox
hare
lynx
moose
porcupine
Correct option (0-indexed): 4
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.

Question: If the moose guidepost is numbered exactly one higher than the lynx guidepost, then which one of the following could be true?
Options:
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.
Correct option (0-indexed): 0
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.

Question: Which one of the following could be an accurate matching of tapes with the musical genres found on them?
Options:
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
Correct option (0-indexed): 1
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.

Question: Which one of the following must be true?
Options:
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.
Correct option (0-indexed): 2
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.

Question: Which one of the following could be true?
Options:
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.
Correct option (0-indexed): 1
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.

Question: Which one of the following could be true?
Options:
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.
Correct option (0-indexed): 2
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.

Question: Which one of the following CANNOT be true?
Options:
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.
Correct option (0-indexed): 1
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.

Question: Which one of the following could be the order, from first to fifth, in which the storm passes over the towns?
Options:
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
Correct option (0-indexed): 0
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.

Question: If the storm passes over Oceana at some time before it passes over Jackson, then each of the following could be true EXCEPT:
Options:
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.
Correct option (0-indexed): 2
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.

Question: 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?
Options:
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.
Correct option (0-indexed): 4
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.

Question: If the storm passes over Jackson at some time before it passes over Oceana, then which one of the following could be false?
Options:
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.
Correct option (0-indexed): 3
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.

Question: If the storm passes over Oceana at some time before it passes over Lofton, then which one of the following must be true?
Options:
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.
Correct option (0-indexed): 1
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.

Question: If French does not serve on any subcommittee with Magnus, which one of the following must be true?
Options:
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.
Correct option (0-indexed): 2
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.

Question: 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?
Options:
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.
Correct option (0-indexed): 2
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.

Question: If Irving serves on every subcommittee on which Magnus serves, which one of the following could be true?
Options:
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.
Correct option (0-indexed): 1
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.

Question: Which one of the following could be true?
Options:
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.
Correct option (0-indexed): 3
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.

Question: Which one of the following must be true?
Options:
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.
Correct option (0-indexed): 4
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.

Question: Which one of the following must be true?
Options:
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.
Correct option (0-indexed): 3
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.

Question: Which one of the following CANNOT be the product that is displayed first?
Options:
P
Q
R
T
X
Correct option (0-indexed): 4
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.

Question: If X is displayed immediately before Q, then which one of the following could be true?
Options:
T is displayed first.
R is displayed fifth.
Q is displayed last.
Q is displayed second.
P is displayed second.
Correct option (0-indexed): 0
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.

Question: If P is displayed second, then which one of the following could be displayed third?
Options:
R
S
T
W
X
Correct option (0-indexed): 2
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.

Question: Which one of the following could be true?
Options:
Q is displayed fifth.
Q is displayed seventh.
R is displayed third.
W is displayed third.
X is displayed fifth.
Correct option (0-indexed): 0
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.

Question: If R is displayed sixth, then which one of the following must be displayed fifth?
Options:
P
Q
T
W
X
Correct option (0-indexed): 3
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.

Question: Which one of the following could be a complete and accurate list of the switches that are on?
Options:
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
Correct option (0-indexed): 1
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.

Question: If switch 1 and switch 3 are both off, then which one of the following could be two switches that are both on?
Options:
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
Correct option (0-indexed): 0
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.

Question: If exactly two of the switches are on, then which one of the following switches must be off?
Options:
switch 3
switch 4
switch 5
switch 6
switch 7
Correct option (0-indexed): 1
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.

Question: If switch 6 and switch 7 are both off, then what is the maximum circuit load of the panel?
Options:
one
two
three
four
five
Correct option (0-indexed): 2
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.

Question: If switch 5 and switch 6 are both on, then which one of the following switches must be on?
Options:
switch 1
switch 2
switch 3
switch 4
switch 7
Correct option (0-indexed): 2
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.

Question: What is the maximum circuit load of the panel?
Options:
three
four
five
six
seven
Correct option (0-indexed): 2
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.

Question: Which one of the following could be true?
Options:
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.
Correct option (0-indexed): 4
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.

Question: Which one of the following could be true?
Options:
S, V, and Z all carry folk.
S, X, and Z all carry jazz.
Of the five stores, only S and V carry jazz.
Of the five stores, only T and X carry rock.
Of the five stores, only S, T, and V carry opera.
Correct option (0-indexed): 3
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.

Question: If exactly one of the stores carries folk, then which one of the following could be true?
Options:
S and V carry exactly two types of music in common.
T and S carry exactly two types of music in common.
T and V carry exactly two types of music in common.
V and X carry exactly two types of music in common.
X and Z carry exactly two types of music in common.
Correct option (0-indexed): 1
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.

Question: Which one of the following must be true?
Options:
T carries exactly the same number of types of music as V carries.
V carries exactly the same number of types of music as Z carries.
S carries at least one more type of music than Z carries.
Z carries at least one more type of music than T carries.
X carries exactly two more types of music than S carries.
Correct option (0-indexed): 2
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.

Question: If V is one of exactly three stores that carry rock, then which one of the following must be true?
Options:
S and Z carry no types of music in common.
S and V carry at least one type of music in common.
S and Z carry at least one type of music in common.
T and Z carry at least one type of music in common.
T and V carry at least two types of music in common.
Correct option (0-indexed): 2
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.

Question: If S and V both carry folk, then which one of the following could be true?
Options:
S and T carry no types of music in common.
S and Z carry no types of music in common.
T and Z carry no types of music in common.
S and Z carry two types of music in common.
T and V carry two types of music in common.
Correct option (0-indexed): 1
Maggie's Deli is open exactly five days every week: Monday through Friday. Its staff, each of whom works on at least one day each week, consists of exactly six people—Janice, Kevin, Nan, Ophelia, Paul, and Seymour. Exactly three of them—Janice, Nan, and Paul—are supervisors. The deli's staffing is consistent with the following: Each day's staff consists of exactly two people, at least one of whom is a supervisor. Tuesday's and Wednesday's staffs both include Ophelia. Of the days Nan works each week, at least two are consecutive. Seymour does not work on any day before the first day Paul works that week. Any day on which Kevin works is the first day during the week that some other staff member works.

Question: Which one of the following could be an accurate staffing schedule?
Options:
Monday: Janice, Kevin Tuesday: Nan, Ophelia Wednesday: Nan, Paul Thursday: Kevin, Paul Friday: Janice, Seymour
Monday: Paul, Seymour Tuesday: Ophelia, Paul Wednesday: Nan, Ophelia Thursday: Kevin, Nan Friday: Janice, Seymour
Monday: Janice, Kevin Tuesday: Nan, Ophelia Wednesday: Nan, Ophelia Thursday: Kevin, Paul Friday: Paul, Seymour
Monday: Janice, Kevin Tuesday: Janice, Ophelia Wednesday: Nan, Ophelia Thursday: Nan, Seymour Friday: Kevin, Paul
Monday: Paul, Seymour Tuesday: Ophelia, Paul Wednesday: Nan, Ophelia Thursday: Janice, Kevin Friday: Nan, Paul
Correct option (0-indexed): 2
Maggie's Deli is open exactly five days every week: Monday through Friday. Its staff, each of whom works on at least one day each week, consists of exactly six people—Janice, Kevin, Nan, Ophelia, Paul, and Seymour. Exactly three of them—Janice, Nan, and Paul—are supervisors. The deli's staffing is consistent with the following: Each day's staff consists of exactly two people, at least one of whom is a supervisor. Tuesday's and Wednesday's staffs both include Ophelia. Of the days Nan works each week, at least two are consecutive. Seymour does not work on any day before the first day Paul works that week. Any day on which Kevin works is the first day during the week that some other staff member works.

Question: If Kevin and Paul work Thursday, who must work Friday?
Options:
Janice
Kevin
Nan
Paul
Seymour
Correct option (0-indexed): 4
Maggie's Deli is open exactly five days every week: Monday through Friday. Its staff, each of whom works on at least one day each week, consists of exactly six people—Janice, Kevin, Nan, Ophelia, Paul, and Seymour. Exactly three of them—Janice, Nan, and Paul—are supervisors. The deli's staffing is consistent with the following: Each day's staff consists of exactly two people, at least one of whom is a supervisor. Tuesday's and Wednesday's staffs both include Ophelia. Of the days Nan works each week, at least two are consecutive. Seymour does not work on any day before the first day Paul works that week. Any day on which Kevin works is the first day during the week that some other staff member works.

Question: Each of the following could be true EXCEPT:
Options:
Janice works Monday and Tuesday.
Kevin and Paul work Friday.
Seymour works Monday and Friday.
Janice and Kevin work Thursday.
Paul works Monday and Friday.
Correct option (0-indexed): 1
Maggie's Deli is open exactly five days every week: Monday through Friday. Its staff, each of whom works on at least one day each week, consists of exactly six people—Janice, Kevin, Nan, Ophelia, Paul, and Seymour. Exactly three of them—Janice, Nan, and Paul—are supervisors. The deli's staffing is consistent with the following: Each day's staff consists of exactly two people, at least one of whom is a supervisor. Tuesday's and Wednesday's staffs both include Ophelia. Of the days Nan works each week, at least two are consecutive. Seymour does not work on any day before the first day Paul works that week. Any day on which Kevin works is the first day during the week that some other staff member works.

Question: Which one of the following CANNOT be the pair of staff that works Monday?
Options:
Janice and Seymour
Kevin and Paul
Paul and Seymour
Nan and Ophelia
Janice and Nan
Correct option (0-indexed): 0
Maggie's Deli is open exactly five days every week: Monday through Friday. Its staff, each of whom works on at least one day each week, consists of exactly six people—Janice, Kevin, Nan, Ophelia, Paul, and Seymour. Exactly three of them—Janice, Nan, and Paul—are supervisors. The deli's staffing is consistent with the following: Each day's staff consists of exactly two people, at least one of whom is a supervisor. Tuesday's and Wednesday's staffs both include Ophelia. Of the days Nan works each week, at least two are consecutive. Seymour does not work on any day before the first day Paul works that week. Any day on which Kevin works is the first day during the week that some other staff member works.

Question: Which one of the following could be true?
Options:
Nan works Wednesday and Friday only.
Seymour works Monday and Paul works Tuesday.
Kevin works Monday, Wednesday, and Friday.
Nan works Wednesday with Ophelia and Thursday with Kevin.
Ophelia and Kevin work Tuesday.
Correct option (0-indexed): 1
Henri has exactly five electrical appliances in his dormitory room: a hairdryer, a microwave oven, a razor, a television, and a vacuum. As a consequence of fire department regulations, Henri can use these appliances only in accordance with the following conditions: Henri cannot use both the hairdryer and the razor simultaneously. Henri cannot use both the hairdryer and the television simultaneously. When Henri uses the vacuum, he cannot at the same time use any of the following: the hairdryer, the razor, and the television.

Question: Which one of the following is a pair of appliances Henri could be using simultaneously?
Options:
the hairdryer and the razor
the hairdryer and the television
the razor and the television
the razor and the vacuum
the television and the vacuum
Correct option (0-indexed): 2
Henri has exactly five electrical appliances in his dormitory room: a hairdryer, a microwave oven, a razor, a television, and a vacuum. As a consequence of fire department regulations, Henri can use these appliances only in accordance with the following conditions: Henri cannot use both the hairdryer and the razor simultaneously. Henri cannot use both the hairdryer and the television simultaneously. When Henri uses the vacuum, he cannot at the same time use any of the following: the hairdryer, the razor, and the television.

Question: Assume that Henri is using exactly two appliances and is not using the microwave oven. Which one of the following is a list of all the appliances, other than the microwave oven, that Henri CANNOT be using?
Options:
hairdryer
razor
vacuum
hairdryer, razor
hairdryer, vacuum
Correct option (0-indexed): 4