benlipkin/arlsat huggingface dataset:
There are exactly ten stores and no other buildings on Oak Street. On the north side of the street, from west to east, are stores 1, 3, 5, 7, and 9; on the south side of the street, also from west to east, are stores 2, 4, 6, 8, and 10. The stores on the north side are located directly across the street from those on the south side, facing each other in pairs, as follows: 1 and 2; 3 and 4; 5 and 6; 7 and 8; 9 and 10. Each store is decorated with lights in exactly one of the following colors: green, red, and yellow. The stores have been decorated with lights according to the following conditions: No store is decorated with lights of the same color as those of any store adjacent to it. No store is decorated with lights of the same color as those of the store directly across the street from it. Yellow lights decorate exactly one store on each side of the street. Red lights decorate store 4. Yellow lights decorate store 5.

Question: If green lights decorate five stores on the street, then which one of the following statements must be true?
Options:
Green lights decorate store 9.
Red lights decorate store 2.
Red lights decorate store 7.
Red lights decorate store 10.
Yellow lights decorate store 8.
Correct option (0-indexed): 4
There are exactly ten stores and no other buildings on Oak Street. On the north side of the street, from west to east, are stores 1, 3, 5, 7, and 9; on the south side of the street, also from west to east, are stores 2, 4, 6, 8, and 10. The stores on the north side are located directly across the street from those on the south side, facing each other in pairs, as follows: 1 and 2; 3 and 4; 5 and 6; 7 and 8; 9 and 10. Each store is decorated with lights in exactly one of the following colors: green, red, and yellow. The stores have been decorated with lights according to the following conditions: No store is decorated with lights of the same color as those of any store adjacent to it. No store is decorated with lights of the same color as those of the store directly across the street from it. Yellow lights decorate exactly one store on each side of the street. Red lights decorate store 4. Yellow lights decorate store 5.

Question: Suppose that yellow lights decorate exactly two stores, not just one, on the south side of the street and decorate exactly one store on the north side. If all of the other conditions remain the same, then which one of the following statements must be true?
Options:
Green lights decorate store 1.
Red lights decorate store 7.
Red lights decorate store 10.
Yellow lights decorate store 2.
Yellow lights decorate store 8.
Correct option (0-indexed): 3
Jill, Kurt, Larisa, Manny, and Olga are the clerks in a supermarket. The supermarket has exactly nine parallel aisles, numbered consecutively 1 through 9 from one end of the store to the other. Each aisle is stocked by exactly one clerk and no clerk stocks more than two aisles. Stocking assignments must meet the following conditions: Olga stocks exactly one aisle. Kurt stocks aisle 2. Manny does not stock aisle 1. Jill does not stock consecutive aisles. Kurt stocks the only aisle between the two aisles Manny stocks. Exactly one of Larisa's aisles is an end aisle. Olga's aisle is numbered higher than either of Kurt's aisles, and lower than at least one of Larisa's.

Question: Which one of the following clerks could stock two consecutive aisles?
Options:
Jill
Kurt
Larisa
Manny
Olga
Correct option (0-indexed): 2
Jill, Kurt, Larisa, Manny, and Olga are the clerks in a supermarket. The supermarket has exactly nine parallel aisles, numbered consecutively 1 through 9 from one end of the store to the other. Each aisle is stocked by exactly one clerk and no clerk stocks more than two aisles. Stocking assignments must meet the following conditions: Olga stocks exactly one aisle. Kurt stocks aisle 2. Manny does not stock aisle 1. Jill does not stock consecutive aisles. Kurt stocks the only aisle between the two aisles Manny stocks. Exactly one of Larisa's aisles is an end aisle. Olga's aisle is numbered higher than either of Kurt's aisles, and lower than at least one of Larisa's.

Question: Which one of the following is a pair of clerks, neither of whom could stock aisle 5?
Options:
Jill and Manny
Kurt and Olga
Larisa and Manny
Kurt and Manny
Larisa and Olga
Correct option (0-indexed): 4
Jill, Kurt, Larisa, Manny, and Olga are the clerks in a supermarket. The supermarket has exactly nine parallel aisles, numbered consecutively 1 through 9 from one end of the store to the other. Each aisle is stocked by exactly one clerk and no clerk stocks more than two aisles. Stocking assignments must meet the following conditions: Olga stocks exactly one aisle. Kurt stocks aisle 2. Manny does not stock aisle 1. Jill does not stock consecutive aisles. Kurt stocks the only aisle between the two aisles Manny stocks. Exactly one of Larisa's aisles is an end aisle. Olga's aisle is numbered higher than either of Kurt's aisles, and lower than at least one of Larisa's.

Question: Which one of the following is a complete and accurate list of clerks, any one of whom could stock aisle 3?
Options:
Jill, Kurt, Larisa
Jill, Larisa, Manny
Jill, Larisa, Olga
Jill, Kurt, Larisa, Manny
Jill, Kurt, Larisa, Olga
Correct option (0-indexed): 1
Jill, Kurt, Larisa, Manny, and Olga are the clerks in a supermarket. The supermarket has exactly nine parallel aisles, numbered consecutively 1 through 9 from one end of the store to the other. Each aisle is stocked by exactly one clerk and no clerk stocks more than two aisles. Stocking assignments must meet the following conditions: Olga stocks exactly one aisle. Kurt stocks aisle 2. Manny does not stock aisle 1. Jill does not stock consecutive aisles. Kurt stocks the only aisle between the two aisles Manny stocks. Exactly one of Larisa's aisles is an end aisle. Olga's aisle is numbered higher than either of Kurt's aisles, and lower than at least one of Larisa's.

Question: Which one of the following is a complete and accurate list of aisles, any one of which could be one of the aisles Manny stocks?
Options:
1, 3, 4, 5
3, 5, 7, 9
3, 4, 5, 6
3, 4, 5, 6, 7
3, 5, 7
Correct option (0-indexed): 3
Jill, Kurt, Larisa, Manny, and Olga are the clerks in a supermarket. The supermarket has exactly nine parallel aisles, numbered consecutively 1 through 9 from one end of the store to the other. Each aisle is stocked by exactly one clerk and no clerk stocks more than two aisles. Stocking assignments must meet the following conditions: Olga stocks exactly one aisle. Kurt stocks aisle 2. Manny does not stock aisle 1. Jill does not stock consecutive aisles. Kurt stocks the only aisle between the two aisles Manny stocks. Exactly one of Larisa's aisles is an end aisle. Olga's aisle is numbered higher than either of Kurt's aisles, and lower than at least one of Larisa's.

Question: If Larisa's aisles are separated by the maximum number of aisles that could separate her aisles, which one of the following could be true?
Options:
Jill stocks aisle 6.
Manny stocks aisle 7.
Both of Jill's aisles are numbered lower than Olga's.
Jill stocks only even-numbered aisles.
Only one clerk stocks a higher numbered aisle than Olga does.
Correct option (0-indexed): 0
Jill, Kurt, Larisa, Manny, and Olga are the clerks in a supermarket. The supermarket has exactly nine parallel aisles, numbered consecutively 1 through 9 from one end of the store to the other. Each aisle is stocked by exactly one clerk and no clerk stocks more than two aisles. Stocking assignments must meet the following conditions: Olga stocks exactly one aisle. Kurt stocks aisle 2. Manny does not stock aisle 1. Jill does not stock consecutive aisles. Kurt stocks the only aisle between the two aisles Manny stocks. Exactly one of Larisa's aisles is an end aisle. Olga's aisle is numbered higher than either of Kurt's aisles, and lower than at least one of Larisa's.

Question: If Jill stocks aisle 3, then which one of the following CANNOT be true?
Options:
Jill stocks aisle 9.
Kurt stocks aisle 6.
Larisa stocks aisle 4.
Manny stocks aisle 4.
Olga stocks aisle 6.
Correct option (0-indexed): 4
Jill, Kurt, Larisa, Manny, and Olga are the clerks in a supermarket. The supermarket has exactly nine parallel aisles, numbered consecutively 1 through 9 from one end of the store to the other. Each aisle is stocked by exactly one clerk and no clerk stocks more than two aisles. Stocking assignments must meet the following conditions: Olga stocks exactly one aisle. Kurt stocks aisle 2. Manny does not stock aisle 1. Jill does not stock consecutive aisles. Kurt stocks the only aisle between the two aisles Manny stocks. Exactly one of Larisa's aisles is an end aisle. Olga's aisle is numbered higher than either of Kurt's aisles, and lower than at least one of Larisa's.

Question: Suppose that, rather than just one, Larisa stocks both end aisles; all other conditions remaining in effect, which one of the following CANNOT be true?
Options:
Jill stocks aisle 3.
Olga stocks aisle 6.
Olga stocks the only aisle between the two aisles that Jill stocks.
Kurt stocks only even-numbered aisles.
One of Larisa's aisles is immediately next to Olga's.
Correct option (0-indexed): 1
A five-week adult education course consists of exactly five lectures with a different lecture given each week. No lecture is given more than once. Each lecture is delivered by a different speaker. The following conditions are true about the speakers and their lectures: Each speaker lectures on a philosopher in whom he or she specializes. No two speakers lecture on the same philosopher. The first week's speaker specializes in Kant, Locke, and Mill, and no other philosophers. The second week's speaker specializes in Kant, Locke, Mill, and Nietzsche, and no other philosophers. The third week's and fourth week's speakers each specialize in Mill and Nietzsche, and no other philosophers. The fifth week's speaker specializes in Nietzsche, Ockham, and Plato, and no other philosophers.

Question: Which one of the following statements could be true?
Options:
The first speaker lectures on Mill.
The second speaker lectures on Mill.
The second speaker lectures on Nietzsche.
The fifth speaker lectures on Nietzsche.
The fifth speaker lectures on Ockham.
Correct option (0-indexed): 4
A five-week adult education course consists of exactly five lectures with a different lecture given each week. No lecture is given more than once. Each lecture is delivered by a different speaker. The following conditions are true about the speakers and their lectures: Each speaker lectures on a philosopher in whom he or she specializes. No two speakers lecture on the same philosopher. The first week's speaker specializes in Kant, Locke, and Mill, and no other philosophers. The second week's speaker specializes in Kant, Locke, Mill, and Nietzsche, and no other philosophers. The third week's and fourth week's speakers each specialize in Mill and Nietzsche, and no other philosophers. The fifth week's speaker specializes in Nietzsche, Ockham, and Plato, and no other philosophers.

Question: What is the maximum possible number of different schedules for the five lectures in which those philosophers who are discussed are discussed in alphabetical order?
Options:
2
3
4
5
6
Correct option (0-indexed): 0
A five-week adult education course consists of exactly five lectures with a different lecture given each week. No lecture is given more than once. Each lecture is delivered by a different speaker. The following conditions are true about the speakers and their lectures: Each speaker lectures on a philosopher in whom he or she specializes. No two speakers lecture on the same philosopher. The first week's speaker specializes in Kant, Locke, and Mill, and no other philosophers. The second week's speaker specializes in Kant, Locke, Mill, and Nietzsche, and no other philosophers. The third week's and fourth week's speakers each specialize in Mill and Nietzsche, and no other philosophers. The fifth week's speaker specializes in Nietzsche, Ockham, and Plato, and no other philosophers.

Question: Which one of the following, if known, would allow one to determine the entire lecture schedule and identify for each week the philosopher who is lectured on that week?
Options:
the weeks that Kant, Locke, and Mill are lectured on
the weeks that Kant, Mill, and Nietzsche are lectured on
the weeks that Kant, Mill, and Ockham are lectured on
the weeks that Mill, Nietzsche, and Ockham are lectured on
the weeks that Mill, Nietzsche, and Plato are lectured on
Correct option (0-indexed): 2
A five-week adult education course consists of exactly five lectures with a different lecture given each week. No lecture is given more than once. Each lecture is delivered by a different speaker. The following conditions are true about the speakers and their lectures: Each speaker lectures on a philosopher in whom he or she specializes. No two speakers lecture on the same philosopher. The first week's speaker specializes in Kant, Locke, and Mill, and no other philosophers. The second week's speaker specializes in Kant, Locke, Mill, and Nietzsche, and no other philosophers. The third week's and fourth week's speakers each specialize in Mill and Nietzsche, and no other philosophers. The fifth week's speaker specializes in Nietzsche, Ockham, and Plato, and no other philosophers.

Question: Assume that, of the six philosophers, Kant and Nietzsche are the only German philosophers, and Locke, Mill, and Ockham are the only British philosophers. Each of the following statements could be true EXCEPT:
Options:
The first and fourth speakers lecture on British philosophers.
The first and fourth speakers lecture on German philosophers.
The second and third speakers lecture on British philosophers.
The third and fourth speakers lecture on German philosophers.
The fourth and fifth speakers lecture on British philosophers.
Correct option (0-indexed): 3
A five-week adult education course consists of exactly five lectures with a different lecture given each week. No lecture is given more than once. Each lecture is delivered by a different speaker. The following conditions are true about the speakers and their lectures: Each speaker lectures on a philosopher in whom he or she specializes. No two speakers lecture on the same philosopher. The first week's speaker specializes in Kant, Locke, and Mill, and no other philosophers. The second week's speaker specializes in Kant, Locke, Mill, and Nietzsche, and no other philosophers. The third week's and fourth week's speakers each specialize in Mill and Nietzsche, and no other philosophers. The fifth week's speaker specializes in Nietzsche, Ockham, and Plato, and no other philosophers.

Question: Suppose the third speaker were a specialist not only in Mill and Nietzsche, but also in Sartre. If all of the other conditions remained the same, then each of the following could be true EXCEPT:
Options:
Mill is lectured on in the first lecture and Nietzsche in the fourth.
Mill is lectured on in the second lecture and Nietzsche in the third.
Mill is lectured on in the second lecture and Nietzsche in the fourth.
Mill is lectured on in the fourth lecture and Nietzsche in the fifth.
Nietzsche is lectured on in the second lecture and Mill in the fourth.
Correct option (0-indexed): 1
Exactly seven different trains—Quigley, Rockville, Sunnydale, Tilbury, Victoria, Wooster, and York—arrive at Middlebrook Station on Saturday. The following conditions govern their arrivals: The trains arrive one at a time. Either the York or the Wooster arrives fourth. The Sunnydale arrives at some time after the Wooster but at some time before the York. Both the Tilbury and the Victoria arrive at some time after the Rockville. The Tilbury does not arrive next after the Victoria; nor does the Victoria arrive next after the Tilbury.

Question: Which one of the following could be the order in which the trains arrive, from first to last?
Options:
Rockville, Tilbury, Victoria, Wooster, Sunnydale, York, Quigley
Rockville, Wooster, Quigley, York, Tilbury, Sunnydale, Victoria
Rockville, Tilbury, Quigley, Wooster, Sunnydale, York, Victoria
Quigley, Rockville, Wooster, Sunnydale, Victoria, York, Tilbury
Tilbury, Rockville, Quigley, Wooster, Sunnydale, York, Victoria
Correct option (0-indexed): 2
Exactly seven different trains—Quigley, Rockville, Sunnydale, Tilbury, Victoria, Wooster, and York—arrive at Middlebrook Station on Saturday. The following conditions govern their arrivals: The trains arrive one at a time. Either the York or the Wooster arrives fourth. The Sunnydale arrives at some time after the Wooster but at some time before the York. Both the Tilbury and the Victoria arrive at some time after the Rockville. The Tilbury does not arrive next after the Victoria; nor does the Victoria arrive next after the Tilbury.

Question: If the Wooster arrives at some time before the Rockville, then exactly how many different orders are there in which the seven trains could arrive?
Options:
four
five
six
seven
eight
Correct option (0-indexed): 0
Exactly seven different trains—Quigley, Rockville, Sunnydale, Tilbury, Victoria, Wooster, and York—arrive at Middlebrook Station on Saturday. The following conditions govern their arrivals: The trains arrive one at a time. Either the York or the Wooster arrives fourth. The Sunnydale arrives at some time after the Wooster but at some time before the York. Both the Tilbury and the Victoria arrive at some time after the Rockville. The Tilbury does not arrive next after the Victoria; nor does the Victoria arrive next after the Tilbury.

Question: Which one of the following must be true?
Options:
The first train to arrive is the Rockville.
The Quigley arrives at some time before the Sunnydale.
The Rockville arrives at some time before the Wooster.
The Victoria arrives at some time before the York.
The Wooster arrives at some time before the York.
Correct option (0-indexed): 4
Exactly seven different trains—Quigley, Rockville, Sunnydale, Tilbury, Victoria, Wooster, and York—arrive at Middlebrook Station on Saturday. The following conditions govern their arrivals: The trains arrive one at a time. Either the York or the Wooster arrives fourth. The Sunnydale arrives at some time after the Wooster but at some time before the York. Both the Tilbury and the Victoria arrive at some time after the Rockville. The Tilbury does not arrive next after the Victoria; nor does the Victoria arrive next after the Tilbury.

Question: Which one of the following could be true?
Options:
The Sunnydale is the next train to arrive after the Quigley.
The Rockville is the next train to arrive after the Sunnydale.
The Rockville is the next train to arrive after the Tilbury.
The Quigley is the next train to arrive after the Sunnydale.
The Quigley is the next train to arrive after the Wooster.
Correct option (0-indexed): 1
Exactly seven different trains—Quigley, Rockville, Sunnydale, Tilbury, Victoria, Wooster, and York—arrive at Middlebrook Station on Saturday. The following conditions govern their arrivals: The trains arrive one at a time. Either the York or the Wooster arrives fourth. The Sunnydale arrives at some time after the Wooster but at some time before the York. Both the Tilbury and the Victoria arrive at some time after the Rockville. The Tilbury does not arrive next after the Victoria; nor does the Victoria arrive next after the Tilbury.

Question: If exactly one of the trains arrives after the Wooster but before the York, then which one of the following could be true?
Options:
The sixth train to arrive is the Sunnydale.
The sixth train to arrive is the Tilbury.
The third train to arrive is the Rockville.
The second train to arrive is the Sunnydale.
The first train to arrive is the Rockville.
Correct option (0-indexed): 4
Exactly seven different trains—Quigley, Rockville, Sunnydale, Tilbury, Victoria, Wooster, and York—arrive at Middlebrook Station on Saturday. The following conditions govern their arrivals: The trains arrive one at a time. Either the York or the Wooster arrives fourth. The Sunnydale arrives at some time after the Wooster but at some time before the York. Both the Tilbury and the Victoria arrive at some time after the Rockville. The Tilbury does not arrive next after the Victoria; nor does the Victoria arrive next after the Tilbury.

Question: If the Quigley arrives at some time before the Rockville, then the Wooster must arrive
Options:
second
third
fourth
fifth
sixth
Correct option (0-indexed): 2
Each of exactly six doctors—Juarez, Kudrow, Longtree, Nance, Onawa, and Palermo—is at exactly one of two clinics: Souderton or Randsborough. The following conditions must be satisfied: Kudrow is at Randsborough if Juarez is at Souderton. Onawa is at Souderton if Juarez is at Randsborough. If Longtree is at Souderton, then both Nance and Palermo are at Randsborough. If Nance is at Randsborough, then so is Onawa. If Palermo is at Randsborough, then both Kudrow and Onawa are at Souderton.

Question: Which one of the following could be a complete and accurate list of the doctors that are at Souderton?
Options:
Juarez, Kudrow, Onawa
Juarez, Nance, Onawa, Palermo
Kudrow, Longtree, Onawa
Nance, Onawa
Nance, Palermo
Correct option (0-indexed): 1
Each of exactly six doctors—Juarez, Kudrow, Longtree, Nance, Onawa, and Palermo—is at exactly one of two clinics: Souderton or Randsborough. The following conditions must be satisfied: Kudrow is at Randsborough if Juarez is at Souderton. Onawa is at Souderton if Juarez is at Randsborough. If Longtree is at Souderton, then both Nance and Palermo are at Randsborough. If Nance is at Randsborough, then so is Onawa. If Palermo is at Randsborough, then both Kudrow and Onawa are at Souderton.

Question: If Palermo is at Randsborough, then which one of the following must be true?
Options:
Juarez is at Randsborough.
Kudrow is at Randsborough.
Longtree is at Souderton.
Nance is at Randsborough.
Onawa is at Randsborough.
Correct option (0-indexed): 0
Each of exactly six doctors—Juarez, Kudrow, Longtree, Nance, Onawa, and Palermo—is at exactly one of two clinics: Souderton or Randsborough. The following conditions must be satisfied: Kudrow is at Randsborough if Juarez is at Souderton. Onawa is at Souderton if Juarez is at Randsborough. If Longtree is at Souderton, then both Nance and Palermo are at Randsborough. If Nance is at Randsborough, then so is Onawa. If Palermo is at Randsborough, then both Kudrow and Onawa are at Souderton.

Question: What is the minimum number of doctors that could be at Souderton?
Options:
zero
one
two
three
four
Correct option (0-indexed): 2
Each of exactly six doctors—Juarez, Kudrow, Longtree, Nance, Onawa, and Palermo—is at exactly one of two clinics: Souderton or Randsborough. The following conditions must be satisfied: Kudrow is at Randsborough if Juarez is at Souderton. Onawa is at Souderton if Juarez is at Randsborough. If Longtree is at Souderton, then both Nance and Palermo are at Randsborough. If Nance is at Randsborough, then so is Onawa. If Palermo is at Randsborough, then both Kudrow and Onawa are at Souderton.

Question: If Nance and Onawa are at different clinics, which one of the following must be true?
Options:
Juarez is at Souderton.
Kudrow is at Souderton.
Palermo is at Randsborough.
Four doctors are at Souderton.
Four doctors are at Randsborough.
Correct option (0-indexed): 0
Each of exactly six doctors—Juarez, Kudrow, Longtree, Nance, Onawa, and Palermo—is at exactly one of two clinics: Souderton or Randsborough. The following conditions must be satisfied: Kudrow is at Randsborough if Juarez is at Souderton. Onawa is at Souderton if Juarez is at Randsborough. If Longtree is at Souderton, then both Nance and Palermo are at Randsborough. If Nance is at Randsborough, then so is Onawa. If Palermo is at Randsborough, then both Kudrow and Onawa are at Souderton.

Question: Which one of the following CANNOT be a pair of the doctors at Randsborough?
Options:
Juarez and Kudrow
Juarez and Palermo
Kudrow and Onawa
Nance and Onawa
Nance and Palermo
Correct option (0-indexed): 4
Each of exactly six doctors—Juarez, Kudrow, Longtree, Nance, Onawa, and Palermo—is at exactly one of two clinics: Souderton or Randsborough. The following conditions must be satisfied: Kudrow is at Randsborough if Juarez is at Souderton. Onawa is at Souderton if Juarez is at Randsborough. If Longtree is at Souderton, then both Nance and Palermo are at Randsborough. If Nance is at Randsborough, then so is Onawa. If Palermo is at Randsborough, then both Kudrow and Onawa are at Souderton.

Question: If Kudrow is at Souderton, then which one of the following must be true?
Options:
Juarez is at Souderton.
Nance is at Souderton.
Onawa is at Randsborough.
Palermo is at Souderton.
Palermo is at Randsborough.
Correct option (0-indexed): 1
From among eight candidates, four astronauts will be selected for a space flight. Four of the candidates—F, J, K, and L—are experienced astronauts and four—M, N, P, and T—are inexperienced astronauts. F, M, P, and T are geologists whereas J, K, L, and N are radiobiologists. The astronauts must be selected according to the following conditions: Exactly two experienced astronauts and two inexperienced astronauts are selected. Exactly two geologists and two radiobiologists are selected. Either P or L or both are selected.

Question: Which one of the following is an acceptable selection of astronauts for the space flight?
Options:
F, J, N, and T
F, L, M, and P
F, M, N, and P
J, L, M, and T
K, L, N, and T
Correct option (0-indexed): 3
From among eight candidates, four astronauts will be selected for a space flight. Four of the candidates—F, J, K, and L—are experienced astronauts and four—M, N, P, and T—are inexperienced astronauts. F, M, P, and T are geologists whereas J, K, L, and N are radiobiologists. The astronauts must be selected according to the following conditions: Exactly two experienced astronauts and two inexperienced astronauts are selected. Exactly two geologists and two radiobiologists are selected. Either P or L or both are selected.

Question: If F and P are selected for the space flight, the other two astronauts selected must be
Options:
a radiobiologist who is an experienced astronaut and a radiobiologist who is an inexperienced astronaut
a radiobiologist who is an experienced astronaut and a geologist who is an inexperienced astronaut
a radiobiologist and a geologist, both of whom are experienced astronauts
two radiobiologists, both of whom are experienced astronauts
two radiobiologists, both of whom are inexperienced astronauts
Correct option (0-indexed): 0
From among eight candidates, four astronauts will be selected for a space flight. Four of the candidates—F, J, K, and L—are experienced astronauts and four—M, N, P, and T—are inexperienced astronauts. F, M, P, and T are geologists whereas J, K, L, and N are radiobiologists. The astronauts must be selected according to the following conditions: Exactly two experienced astronauts and two inexperienced astronauts are selected. Exactly two geologists and two radiobiologists are selected. Either P or L or both are selected.

Question: If F and J are selected for the space flight, which one of the following must also be selected?
Options:
K
L
M
N
T
Correct option (0-indexed): 3
From among eight candidates, four astronauts will be selected for a space flight. Four of the candidates—F, J, K, and L—are experienced astronauts and four—M, N, P, and T—are inexperienced astronauts. F, M, P, and T are geologists whereas J, K, L, and N are radiobiologists. The astronauts must be selected according to the following conditions: Exactly two experienced astronauts and two inexperienced astronauts are selected. Exactly two geologists and two radiobiologists are selected. Either P or L or both are selected.

Question: If M and T are selected for the space flight, which one of the following could be, but need not be, selected for the flight?
Options:
F
J
L
N
P
Correct option (0-indexed): 1
From among eight candidates, four astronauts will be selected for a space flight. Four of the candidates—F, J, K, and L—are experienced astronauts and four—M, N, P, and T—are inexperienced astronauts. F, M, P, and T are geologists whereas J, K, L, and N are radiobiologists. The astronauts must be selected according to the following conditions: Exactly two experienced astronauts and two inexperienced astronauts are selected. Exactly two geologists and two radiobiologists are selected. Either P or L or both are selected.

Question: If N is selected for the space flight, which one of the following must also be selected?
Options:
F
J
L
M
T
Correct option (0-indexed): 0
A showroom contains exactly six new cars—T, V, W, X, Y, and Z—each equipped with at least one of the following three options: power windows, leather interior, and sunroof. No car has any other options. The following conditions must apply: V has power windows and a sunroof. W has power windows and a leather interior. W and Y have no options in common. X has more options than W. V and Z have exactly one option in common. T has fewer options than Z.

Question: For exactly how many of the six cars is it possible to determine exactly which options each one has?
Options:
two
three
four
five
six
Correct option (0-indexed): 2
A showroom contains exactly six new cars—T, V, W, X, Y, and Z—each equipped with at least one of the following three options: power windows, leather interior, and sunroof. No car has any other options. The following conditions must apply: V has power windows and a sunroof. W has power windows and a leather interior. W and Y have no options in common. X has more options than W. V and Z have exactly one option in common. T has fewer options than Z.

Question: Which one of the following must be false?
Options:
Exactly five of the six cars have leather interiors.
Exactly five of the six cars have sunroofs.
Exactly four of the six cars have leather interiors.
Exactly four of the six cars have power windows.
Exactly four of the six cars have sunroofs.
Correct option (0-indexed): 0
A showroom contains exactly six new cars—T, V, W, X, Y, and Z—each equipped with at least one of the following three options: power windows, leather interior, and sunroof. No car has any other options. The following conditions must apply: V has power windows and a sunroof. W has power windows and a leather interior. W and Y have no options in common. X has more options than W. V and Z have exactly one option in common. T has fewer options than Z.

Question: If all the cars that have leather interiors also have power windows, which one of the following must be false?
Options:
T has power windows.
T has a sunroof.
V has power windows.
Z has power windows.
Z has a sunroof.
Correct option (0-indexed): 4
A showroom contains exactly six new cars—T, V, W, X, Y, and Z—each equipped with at least one of the following three options: power windows, leather interior, and sunroof. No car has any other options. The following conditions must apply: V has power windows and a sunroof. W has power windows and a leather interior. W and Y have no options in common. X has more options than W. V and Z have exactly one option in common. T has fewer options than Z.

Question: If Z has no options in common with T but has at least one option in common with every other car, then which one of the following must be false?
Options:
T has power windows.
Z has a sunroof.
Exactly four of the six cars have power windows.
Exactly four of the six cars have leather interiors.
Exactly four of the six cars have sunroofs.
Correct option (0-indexed): 3
A showroom contains exactly six new cars—T, V, W, X, Y, and Z—each equipped with at least one of the following three options: power windows, leather interior, and sunroof. No car has any other options. The following conditions must apply: V has power windows and a sunroof. W has power windows and a leather interior. W and Y have no options in common. X has more options than W. V and Z have exactly one option in common. T has fewer options than Z.

Question: Suppose that no two cars have exactly the same options as one another. In that case, each of the following could be true EXCEPT:
Options:
Exactly three of the six cars have power windows.
Exactly four of the six cars have power windows.
Exactly three of the six cars have sunroofs.
Exactly four of the six cars have sunroofs.
Exactly four of the six cars have leather interiors.
Correct option (0-indexed): 2
A showroom contains exactly six new cars—T, V, W, X, Y, and Z—each equipped with at least one of the following three options: power windows, leather interior, and sunroof. No car has any other options. The following conditions must apply: V has power windows and a sunroof. W has power windows and a leather interior. W and Y have no options in common. X has more options than W. V and Z have exactly one option in common. T has fewer options than Z.

Question: If exactly four of the six cars have leather interiors, and exactly four of the six cars have power windows, then each of the following must be true EXCEPT:
Options:
T and V have no options in common.
T and Y have no options in common.
T and Z have exactly one option in common.
W and Z have exactly one option in common.
Y and Z have no options in common.
Correct option (0-indexed): 3
A showroom contains exactly six new cars—T, V, W, X, Y, and Z—each equipped with at least one of the following three options: power windows, leather interior, and sunroof. No car has any other options. The following conditions must apply: V has power windows and a sunroof. W has power windows and a leather interior. W and Y have no options in common. X has more options than W. V and Z have exactly one option in common. T has fewer options than Z.

Question: Suppose that the condition requiring that X has more options than W is replaced by a new condition requiring that X and W have exactly two options in common. If all of the other original conditions remain in effect, which one of the following must be false?
Options:
T and X have no options in common.
V and X have exactly one option in common.
V and X have exactly two options in common.
X and Z have no options in common.
X and Z have exactly two options in common.
Correct option (0-indexed): 3
Quentin, Robert, Shiro, Tony, and Umeko are the only members of the Kim family who attend an opera. Each of them sits in a separate seat in either row G or row H, and each sits in a seat numbered 1, 2, or 3. Consecutively numbered seats within each row are adjacent. Each member of the Kim family sits in a seat adjacent to, and in the same row as, at least one other member of the family. Tony and Umeko sit in row H. Shiro and Umeko sit in lower numbered seats than does Tony. Robert sits in the same row as Quentin or Shiro or both. Robert sits in a seat numbered 2.

Question: Which one of the following statements could be true?
Options:
Seat G3 is empty.
Seat H2 is empty.
Shiro sits in a seat numbered 3.
Tony sits in a seat numbered 1.
Umeko sits in a seat numbered 3.
Correct option (0-indexed): 0
Quentin, Robert, Shiro, Tony, and Umeko are the only members of the Kim family who attend an opera. Each of them sits in a separate seat in either row G or row H, and each sits in a seat numbered 1, 2, or 3. Consecutively numbered seats within each row are adjacent. Each member of the Kim family sits in a seat adjacent to, and in the same row as, at least one other member of the family. Tony and Umeko sit in row H. Shiro and Umeko sit in lower numbered seats than does Tony. Robert sits in the same row as Quentin or Shiro or both. Robert sits in a seat numbered 2.

Question: Which one of the following statements could be true?
Options:
Robert sits in row H.
Shiro sits in row H.
Quentin sits in the same row as, and in a seat adjacent to, Shiro.
Robert sits in the same row as, and in a seat adjacent to, Tony.
Robert sits in the same row as, and in a seat adjacent to, Umeko.
Correct option (0-indexed): 1
Quentin, Robert, Shiro, Tony, and Umeko are the only members of the Kim family who attend an opera. Each of them sits in a separate seat in either row G or row H, and each sits in a seat numbered 1, 2, or 3. Consecutively numbered seats within each row are adjacent. Each member of the Kim family sits in a seat adjacent to, and in the same row as, at least one other member of the family. Tony and Umeko sit in row H. Shiro and Umeko sit in lower numbered seats than does Tony. Robert sits in the same row as Quentin or Shiro or both. Robert sits in a seat numbered 2.

Question: If Tony sits in a seat numbered 2, then which one of the following statements could be false?
Options:
Quentin sits in a seat numbered 3.
Umeko sits in a seat numbered 1.
Quentin sits in the same row as, and in a seat adjacent to, Robert.
Robert sits in the same row as, and in a seat adjacent to, Shiro.
Tony sits in the same row as, and in a seat adjacent to, Umeko.
Correct option (0-indexed): 2
Quentin, Robert, Shiro, Tony, and Umeko are the only members of the Kim family who attend an opera. Each of them sits in a separate seat in either row G or row H, and each sits in a seat numbered 1, 2, or 3. Consecutively numbered seats within each row are adjacent. Each member of the Kim family sits in a seat adjacent to, and in the same row as, at least one other member of the family. Tony and Umeko sit in row H. Shiro and Umeko sit in lower numbered seats than does Tony. Robert sits in the same row as Quentin or Shiro or both. Robert sits in a seat numbered 2.

Question: Considering only the six seats in which members of the Kim family could sit, which one of the following is a complete and accurate list of those seats any one of which could be empty?
Options:
G1, G3
G3, H1
H1, H3
G1, G3, H1
G1, G3, H1, H3
Correct option (0-indexed): 4
Quentin, Robert, Shiro, Tony, and Umeko are the only members of the Kim family who attend an opera. Each of them sits in a separate seat in either row G or row H, and each sits in a seat numbered 1, 2, or 3. Consecutively numbered seats within each row are adjacent. Each member of the Kim family sits in a seat adjacent to, and in the same row as, at least one other member of the family. Tony and Umeko sit in row H. Shiro and Umeko sit in lower numbered seats than does Tony. Robert sits in the same row as Quentin or Shiro or both. Robert sits in a seat numbered 2.

Question: Which one of the following is a complete and accurate list of those members of the Kim family any one of whom could sit in seat H2?
Options:
Quentin
Shiro, Umeko
Robert, Shiro, Umeko
Tony, Shiro, Umeko
Quentin, Shiro, Tony, Umeko
Correct option (0-indexed): 4
Exactly seven professors—Madison, Nilsson, Orozco, Paton, Robinson, Sarkis, and Togo—were hired in the years 1989 through 1995. Each professor has one or more specialities, and any two professors hired in the same year or in consecutive years do not have a specialty in common. The professors were hired according to the following conditions: Madison was hired in 1993, Robinson in 1991. There is at least one specialty that Madison, Orozco, and Togo have in common. Nilsson shares a specialty with Robinson. Paton and Sarkis were each hired at least one year before Madison and at least one year after Nilsson. Orozco, who shares a specialty with Sarkis, was hired in 1990.

Question: Which one of the following is a complete and accurate list of the professors who could have been hired in the years 1989 through 1991?
Options:
Nilsson, Orozco, Robinson
Orozco, Robinson, Sarkis
Nilsson, Orozco, Paton, Robinson
Nilsson, Orozco, Paton, Sarkis
Orozco, Paton, Robinson, Sarkis
Correct option (0-indexed): 2
Exactly seven professors—Madison, Nilsson, Orozco, Paton, Robinson, Sarkis, and Togo—were hired in the years 1989 through 1995. Each professor has one or more specialities, and any two professors hired in the same year or in consecutive years do not have a specialty in common. The professors were hired according to the following conditions: Madison was hired in 1993, Robinson in 1991. There is at least one specialty that Madison, Orozco, and Togo have in common. Nilsson shares a specialty with Robinson. Paton and Sarkis were each hired at least one year before Madison and at least one year after Nilsson. Orozco, who shares a specialty with Sarkis, was hired in 1990.

Question: If exactly one professor was hired in 1991, then which one of the following could be true?
Options:
Madison and Paton share a specialty.
Robinson and Sarkis share a specialty.
Paton was hired exactly one year after Orozco.
Exactly one professor was hired in 1994.
Exactly two professors were hired in 1993.
Correct option (0-indexed): 0
Exactly seven professors—Madison, Nilsson, Orozco, Paton, Robinson, Sarkis, and Togo—were hired in the years 1989 through 1995. Each professor has one or more specialities, and any two professors hired in the same year or in consecutive years do not have a specialty in common. The professors were hired according to the following conditions: Madison was hired in 1993, Robinson in 1991. There is at least one specialty that Madison, Orozco, and Togo have in common. Nilsson shares a specialty with Robinson. Paton and Sarkis were each hired at least one year before Madison and at least one year after Nilsson. Orozco, who shares a specialty with Sarkis, was hired in 1990.

Question: Which one of the following must be false?
Options:
Nilsson was hired in 1989.
Paton was hired in 1990.
Paton was hired in 1991.
Sarkis was hired in 1992.
Togo was hired in 1994.
Correct option (0-indexed): 4
Exactly seven professors—Madison, Nilsson, Orozco, Paton, Robinson, Sarkis, and Togo—were hired in the years 1989 through 1995. Each professor has one or more specialities, and any two professors hired in the same year or in consecutive years do not have a specialty in common. The professors were hired according to the following conditions: Madison was hired in 1993, Robinson in 1991. There is at least one specialty that Madison, Orozco, and Togo have in common. Nilsson shares a specialty with Robinson. Paton and Sarkis were each hired at least one year before Madison and at least one year after Nilsson. Orozco, who shares a specialty with Sarkis, was hired in 1990.

Question: Which one of the following must be true?
Options:
Orozco was hired before Paton.
Paton was hired before Sarkis.
Sarkis was hired before Robinson.
Robinson was hired before Sarkis.
Madison was hired before Sarkis.
Correct option (0-indexed): 3
Exactly seven professors—Madison, Nilsson, Orozco, Paton, Robinson, Sarkis, and Togo—were hired in the years 1989 through 1995. Each professor has one or more specialities, and any two professors hired in the same year or in consecutive years do not have a specialty in common. The professors were hired according to the following conditions: Madison was hired in 1993, Robinson in 1991. There is at least one specialty that Madison, Orozco, and Togo have in common. Nilsson shares a specialty with Robinson. Paton and Sarkis were each hired at least one year before Madison and at least one year after Nilsson. Orozco, who shares a specialty with Sarkis, was hired in 1990.

Question: If exactly two professors were hired in 1992, then which one of the following could be true?
Options:
Orozco, Paton, and Togo share a specialty.
Madison, Paton, and Togo share a specialty.
Exactly two professors were hired in 1991.
Exactly two professors were hired in 1993.
Paton was hired in 1991.
Correct option (0-indexed): 0
Exactly seven professors—Madison, Nilsson, Orozco, Paton, Robinson, Sarkis, and Togo—were hired in the years 1989 through 1995. Each professor has one or more specialities, and any two professors hired in the same year or in consecutive years do not have a specialty in common. The professors were hired according to the following conditions: Madison was hired in 1993, Robinson in 1991. There is at least one specialty that Madison, Orozco, and Togo have in common. Nilsson shares a specialty with Robinson. Paton and Sarkis were each hired at least one year before Madison and at least one year after Nilsson. Orozco, who shares a specialty with Sarkis, was hired in 1990.

Question: If Paton and Madison have a specialty in common, then which one of the following must be true?
Options:
Nilsson does not share a specialty with Paton.
Exactly one professor was hired in 1990.
Exactly one professor was hired in 1991.
Exactly two professors were hired in each of two years.
Paton was hired at least one year before Sarkis.
Correct option (0-indexed): 4
A fruit stand carries at least one kind of the following kinds of fruit: figs, kiwis, oranges, pears, tangerines, and watermelons. The stand does not carry any other kind of fruit. The selection of fruits the stand carries is consistent with the following conditions: If the stand carries kiwis, then it does not carry pears. If the stand does not carry tangerines, then it carries kiwis. If the stand carries oranges, then it carries both pears and watermelons. If the stand carries watermelons, then it carries figs or tangerines or both.

Question: Which one of the following could be a complete and accurate list of the kinds of fruit the stand carries?
Options:
oranges, pears
pears, tangerines
oranges, pears, watermelons
oranges, tangerines, watermelons
kiwis, oranges, pears, watermelons
Correct option (0-indexed): 1
A fruit stand carries at least one kind of the following kinds of fruit: figs, kiwis, oranges, pears, tangerines, and watermelons. The stand does not carry any other kind of fruit. The selection of fruits the stand carries is consistent with the following conditions: If the stand carries kiwis, then it does not carry pears. If the stand does not carry tangerines, then it carries kiwis. If the stand carries oranges, then it carries both pears and watermelons. If the stand carries watermelons, then it carries figs or tangerines or both.

Question: Which one of the following could be the only kind of fruit the stand carries?
Options:
figs
oranges
pears
tangerines
watermelons
Correct option (0-indexed): 3
A fruit stand carries at least one kind of the following kinds of fruit: figs, kiwis, oranges, pears, tangerines, and watermelons. The stand does not carry any other kind of fruit. The selection of fruits the stand carries is consistent with the following conditions: If the stand carries kiwis, then it does not carry pears. If the stand does not carry tangerines, then it carries kiwis. If the stand carries oranges, then it carries both pears and watermelons. If the stand carries watermelons, then it carries figs or tangerines or both.

Question: Which one of the following CANNOT be a complete and accurate list of the kinds of fruit the stand carries?
Options:
kiwis, tangerines
tangerines, watermelons
figs, kiwis, watermelons
oranges, pears, tangerines, watermelons
figs, kiwis, oranges, pears, watermelons
Correct option (0-indexed): 4
A fruit stand carries at least one kind of the following kinds of fruit: figs, kiwis, oranges, pears, tangerines, and watermelons. The stand does not carry any other kind of fruit. The selection of fruits the stand carries is consistent with the following conditions: If the stand carries kiwis, then it does not carry pears. If the stand does not carry tangerines, then it carries kiwis. If the stand carries oranges, then it carries both pears and watermelons. If the stand carries watermelons, then it carries figs or tangerines or both.

Question: If the stand carries no watermelons, then which one of the following must be true?
Options:
The stand carries kiwis.
The stand carries at least two kinds of fruit.
The stand carries at most three kinds of fruit.
The stand carries neither oranges nor pears.
The stand carries neither oranges nor kiwis.
Correct option (0-indexed): 2
A fruit stand carries at least one kind of the following kinds of fruit: figs, kiwis, oranges, pears, tangerines, and watermelons. The stand does not carry any other kind of fruit. The selection of fruits the stand carries is consistent with the following conditions: If the stand carries kiwis, then it does not carry pears. If the stand does not carry tangerines, then it carries kiwis. If the stand carries oranges, then it carries both pears and watermelons. If the stand carries watermelons, then it carries figs or tangerines or both.

Question: If the stand carries watermelons, then which one of the following must be false?
Options:
The stand does not carry figs.
The stand does not carry tangerines.
The stand does not carry pears.
The stand carries pears but not oranges.
The stand carries pears but not tangerines.
Correct option (0-indexed): 4