benlipkin/arlsat huggingface dataset:
Within a five-year period from 1991 to 1995, each of three friends—Ramon, Sue, and Taylor—graduated. In that period, each bought his or her first car. The graduations and car purchases must be consistent with the following: Ramon graduated in some year before the year in which Taylor graduated. Taylor graduated in some year before the year in which he bought his first car. Sue bought her first car in some year before the year in which she graduated. Ramon and Sue graduated in the same year as each other. At least one of the friends graduated in 1993.

Question: If Sue graduated in 1993, then which one of the following must be true?
Options:
Sue bought her first car in 1991.
Ramon bought his first car in 1992.
Ramon bought his first car in 1993.
Taylor bought his first car in 1994.
Taylor bought his first car in 1995.
Correct option (0-indexed): 4
A child eating alphabet soup notices that the only letters left in her bowl are one each of these six letters: T, U, W, X, Y, and Z. She plays a game with the remaining letters, eating them in the next three spoonfuls in accord with certain rules. Each of the six letters must be in exactly one of the next three spoonfuls, and each of the spoonfuls must have at least one and at most three of the letters. In addition, she obeys the following restrictions: The U is in a later spoonful than the T. The U is not in a later spoonful than the X. The Y is in a later spoonful than the W. The U is in the same spoonful as either the Y or the Z, but not both.

Question: Which one of the following could be an accurate list of the spoonfuls and the letters in each of them?
Options:
first: Y second: T, W third: U, X, Z
first: T, W second: U, X, Y third: Z
first: T second: U, Z third: W, X, Y
first: T, U, Z second: W third: X, Y
first: W second: T, X, Z third: U, Y
Correct option (0-indexed): 1
A child eating alphabet soup notices that the only letters left in her bowl are one each of these six letters: T, U, W, X, Y, and Z. She plays a game with the remaining letters, eating them in the next three spoonfuls in accord with certain rules. Each of the six letters must be in exactly one of the next three spoonfuls, and each of the spoonfuls must have at least one and at most three of the letters. In addition, she obeys the following restrictions: The U is in a later spoonful than the T. The U is not in a later spoonful than the X. The Y is in a later spoonful than the W. The U is in the same spoonful as either the Y or the Z, but not both.

Question: If the Y is the only letter in one of the spoonfuls, then which one of the following could be true?
Options:
The Y is in the first spoonful.
The Z is in the first spoonful.
The T is in the second spoonful.
The X is in the second spoonful.
The W is in the third spoonful.
Correct option (0-indexed): 3
A child eating alphabet soup notices that the only letters left in her bowl are one each of these six letters: T, U, W, X, Y, and Z. She plays a game with the remaining letters, eating them in the next three spoonfuls in accord with certain rules. Each of the six letters must be in exactly one of the next three spoonfuls, and each of the spoonfuls must have at least one and at most three of the letters. In addition, she obeys the following restrictions: The U is in a later spoonful than the T. The U is not in a later spoonful than the X. The Y is in a later spoonful than the W. The U is in the same spoonful as either the Y or the Z, but not both.

Question: If the Z is in the first spoonful, then which one of the following must be true?
Options:
The T is in the second spoonful.
The U is in the third spoonful.
The W is in the first spoonful.
The W is in the second spoonful.
The X is in the third spoonful.
Correct option (0-indexed): 4
A child eating alphabet soup notices that the only letters left in her bowl are one each of these six letters: T, U, W, X, Y, and Z. She plays a game with the remaining letters, eating them in the next three spoonfuls in accord with certain rules. Each of the six letters must be in exactly one of the next three spoonfuls, and each of the spoonfuls must have at least one and at most three of the letters. In addition, she obeys the following restrictions: The U is in a later spoonful than the T. The U is not in a later spoonful than the X. The Y is in a later spoonful than the W. The U is in the same spoonful as either the Y or the Z, but not both.

Question: Which one of the following is a complete list of letters, any one of which could be the only letter in the first spoonful?
Options:
T
T, W
T, X
T, W, Z
T, X, W, Z
Correct option (0-indexed): 3
A child eating alphabet soup notices that the only letters left in her bowl are one each of these six letters: T, U, W, X, Y, and Z. She plays a game with the remaining letters, eating them in the next three spoonfuls in accord with certain rules. Each of the six letters must be in exactly one of the next three spoonfuls, and each of the spoonfuls must have at least one and at most three of the letters. In addition, she obeys the following restrictions: The U is in a later spoonful than the T. The U is not in a later spoonful than the X. The Y is in a later spoonful than the W. The U is in the same spoonful as either the Y or the Z, but not both.

Question: If the T is in the second spoonful, then which one of the following could be true?
Options:
Exactly two letters are in the first spoonful.
Exactly three letters are in the first spoonful.
Exactly three letters are in the second spoonful.
Exactly one letter is in the third spoonful.
Exactly two letters are in the third spoonful.
Correct option (0-indexed): 0
A clown will select a costume consisting of two pieces and no others: a jacket and overalls. One piece of the costume will be entirely one color, and the other piece will be plaid. Selection is subject to the following restrictions: If the jacket is plaid, then there must be exactly three colors in it. If the overalls are plaid, then there must be exactly two colors in them. The jacket and overalls must have exactly one color in common. Green, red, and violet are the only colors that can be in the jacket. Red, violet, and yellow are the only colors that can be in the overalls.

Question: Which one of the following could be a complete and accurate list of the colors in the costume? Jacket Overalls
Options:
red red
red violet, yellow
violet green, violet
violet red, violet
violet red, violet, yellow
Correct option (0-indexed): 3
A clown will select a costume consisting of two pieces and no others: a jacket and overalls. One piece of the costume will be entirely one color, and the other piece will be plaid. Selection is subject to the following restrictions: If the jacket is plaid, then there must be exactly three colors in it. If the overalls are plaid, then there must be exactly two colors in them. The jacket and overalls must have exactly one color in common. Green, red, and violet are the only colors that can be in the jacket. Red, violet, and yellow are the only colors that can be in the overalls.

Question: If there are exactly two colors in the costume, then which one of the following must be false?
Options:
At least part of the jacket is green.
At least part of the jacket is red.
The overalls are red and violet.
The overalls are red and yellow.
The overalls are violet and yellow.
Correct option (0-indexed): 0
A clown will select a costume consisting of two pieces and no others: a jacket and overalls. One piece of the costume will be entirely one color, and the other piece will be plaid. Selection is subject to the following restrictions: If the jacket is plaid, then there must be exactly three colors in it. If the overalls are plaid, then there must be exactly two colors in them. The jacket and overalls must have exactly one color in common. Green, red, and violet are the only colors that can be in the jacket. Red, violet, and yellow are the only colors that can be in the overalls.

Question: If at least part of the jacket is green, then which one of the following could be true?
Options:
The overalls are plaid.
No part of the jacket is red.
No part of the jacket is violet.
At least part of the overalls are yellow.
At least part of the overalls are violet.
Correct option (0-indexed): 4
A clown will select a costume consisting of two pieces and no others: a jacket and overalls. One piece of the costume will be entirely one color, and the other piece will be plaid. Selection is subject to the following restrictions: If the jacket is plaid, then there must be exactly three colors in it. If the overalls are plaid, then there must be exactly two colors in them. The jacket and overalls must have exactly one color in common. Green, red, and violet are the only colors that can be in the jacket. Red, violet, and yellow are the only colors that can be in the overalls.

Question: Which one of the following must be false?
Options:
Both green and red are colors used in the costume.
Both green and violet are colors used in the costume.
Both green and yellow are colors used in the costume.
Both red and violet are colors used in the costume.
Both violet and yellow are colors used in the costume.
Correct option (0-indexed): 2
A clown will select a costume consisting of two pieces and no others: a jacket and overalls. One piece of the costume will be entirely one color, and the other piece will be plaid. Selection is subject to the following restrictions: If the jacket is plaid, then there must be exactly three colors in it. If the overalls are plaid, then there must be exactly two colors in them. The jacket and overalls must have exactly one color in common. Green, red, and violet are the only colors that can be in the jacket. Red, violet, and yellow are the only colors that can be in the overalls.

Question: If there are exactly three colors in the costume, the overalls must be
Options:
entirely red or else red and violet plaid
entirely yellow or else violet and yellow plaid
entirely violet or else red and violet plaid
entirely red or else entirely yellow
entirely red or else entirely violet
Correct option (0-indexed): 4
Six hotel suites—F, G, H, J, K, L—are ranked from most expensive (first) to least expensive (sixth). There are no ties. The ranking must be consistent with the following conditions: H is more expensive than L. If G is more expensive than H, then neither K nor L is more expensive than J. If H is more expensive than G, then neither J nor L is more expensive than K. F is more expensive than G, or else F is more expensive than H, but not both.

Question: Which one of the following could be the ranking of the suites, from most expensive to least expensive?
Options:
G, F, H, L, J, K
H, K, F, J, G, L
J, H, F, K, G, L
J, K, G, H, L, F
K, J, L, H, F, G
Correct option (0-indexed): 1
Six hotel suites—F, G, H, J, K, L—are ranked from most expensive (first) to least expensive (sixth). There are no ties. The ranking must be consistent with the following conditions: H is more expensive than L. If G is more expensive than H, then neither K nor L is more expensive than J. If H is more expensive than G, then neither J nor L is more expensive than K. F is more expensive than G, or else F is more expensive than H, but not both.

Question: If G is the second most expensive suite, then which one of the following could be true?
Options:
H is more expensive than F.
H is more expensive than G.
K is more expensive than F.
K is more expensive than J.
L is more expensive than F.
Correct option (0-indexed): 2
Six hotel suites—F, G, H, J, K, L—are ranked from most expensive (first) to least expensive (sixth). There are no ties. The ranking must be consistent with the following conditions: H is more expensive than L. If G is more expensive than H, then neither K nor L is more expensive than J. If H is more expensive than G, then neither J nor L is more expensive than K. F is more expensive than G, or else F is more expensive than H, but not both.

Question: Which one of the following CANNOT be the most expensive suite?
Options:
F
G
H
J
K
Correct option (0-indexed): 0
Six hotel suites—F, G, H, J, K, L—are ranked from most expensive (first) to least expensive (sixth). There are no ties. The ranking must be consistent with the following conditions: H is more expensive than L. If G is more expensive than H, then neither K nor L is more expensive than J. If H is more expensive than G, then neither J nor L is more expensive than K. F is more expensive than G, or else F is more expensive than H, but not both.

Question: If L is more expensive than F, then which one of the following could be true?
Options:
F is more expensive than H.
F is more expensive than K.
G is more expensive than H.
G is more expensive than J.
G is more expensive than L.
Correct option (0-indexed): 3
Six hotel suites—F, G, H, J, K, L—are ranked from most expensive (first) to least expensive (sixth). There are no ties. The ranking must be consistent with the following conditions: H is more expensive than L. If G is more expensive than H, then neither K nor L is more expensive than J. If H is more expensive than G, then neither J nor L is more expensive than K. F is more expensive than G, or else F is more expensive than H, but not both.

Question: If H is more expensive than J and less expensive than K, then which one of the following could be true?
Options:
F is more expensive than H.
G is more expensive than F.
G is more expensive than H.
J is more expensive than L.
L is more expensive than K.
Correct option (0-indexed): 3
A locally known guitarist's demo CD contains exactly seven different songs—S, T, V, W, X, Y, and Z. Each song occupies exactly one of the CD's seven tracks. Some of the songs are rock classics; the others are new compositions. The following conditions must hold: S occupies the fourth track of the CD. Both W and Y precede S on the CD. T precedes W on the CD. A rock classic occupies the sixth track of the CD. Each rock classic is immediately preceded on the CD by a new composition. Z is a rock classic.

Question: Which one of the following could be the order of the songs on the CD, from the first track through the seventh?
Options:
T, W, V, S, Y, X, Z
V, Y, T, S, W, Z, X
X, Y, W, S, T, Z, S
Y, T, W, S, X, Z, V
Z, T, X, W, V, Y, S
Correct option (0-indexed): 3
A locally known guitarist's demo CD contains exactly seven different songs—S, T, V, W, X, Y, and Z. Each song occupies exactly one of the CD's seven tracks. Some of the songs are rock classics; the others are new compositions. The following conditions must hold: S occupies the fourth track of the CD. Both W and Y precede S on the CD. T precedes W on the CD. A rock classic occupies the sixth track of the CD. Each rock classic is immediately preceded on the CD by a new composition. Z is a rock classic.

Question: Which one of the following is a pair of songs that must occupy consecutive tracks on the CD?
Options:
S and V
S and W
T and Z
T and Y
V and Z
Correct option (0-indexed): 4
A locally known guitarist's demo CD contains exactly seven different songs—S, T, V, W, X, Y, and Z. Each song occupies exactly one of the CD's seven tracks. Some of the songs are rock classics; the others are new compositions. The following conditions must hold: S occupies the fourth track of the CD. Both W and Y precede S on the CD. T precedes W on the CD. A rock classic occupies the sixth track of the CD. Each rock classic is immediately preceded on the CD by a new composition. Z is a rock classic.

Question: Which one of the following songs must be a new composition?
Options:
S
T
W
X
Y
Correct option (0-indexed): 3
A locally known guitarist's demo CD contains exactly seven different songs—S, T, V, W, X, Y, and Z. Each song occupies exactly one of the CD's seven tracks. Some of the songs are rock classics; the others are new compositions. The following conditions must hold: S occupies the fourth track of the CD. Both W and Y precede S on the CD. T precedes W on the CD. A rock classic occupies the sixth track of the CD. Each rock classic is immediately preceded on the CD by a new composition. Z is a rock classic.

Question: If W precedes Y on the CD, then which one of the following must be true?
Options:
S is a rock classic.
V is a rock classic.
Y is a rock classic.
T is a new composition.
W is a new composition.
Correct option (0-indexed): 3
A locally known guitarist's demo CD contains exactly seven different songs—S, T, V, W, X, Y, and Z. Each song occupies exactly one of the CD's seven tracks. Some of the songs are rock classics; the others are new compositions. The following conditions must hold: S occupies the fourth track of the CD. Both W and Y precede S on the CD. T precedes W on the CD. A rock classic occupies the sixth track of the CD. Each rock classic is immediately preceded on the CD by a new composition. Z is a rock classic.

Question: If there are exactly two songs on the CD that both precede V and are preceded by Y, then which one of the following could be true?
Options:
V occupies the seventh track of the CD.
X occupies the fifth track of the CD.
Y occupies the third track of the CD.
T is a rock classic.
W is a rock classic.
Correct option (0-indexed): 4
A courier delivers exactly eight parcels—G, H, J, K, L, M, N, and O. No two parcels are delivered at the same time, nor is any parcel delivered more than once. The following conditions must apply: L is delivered later than H. K is delivered earlier than O. H is delivered earlier than M. O is delivered later than G. M is delivered earlier than G. Both N and J are delivered earlier than M.

Question: Which one of the following could be the order of deliveries from first to last?
Options:
N, H, K, M, J, G, O, L
H, N, J, K, G, O, L, M
J, H, N, M, K, O, G, L
N, J, H, L, M, K, G, O
K, N, J, M, G, H, O, L
Correct option (0-indexed): 3
A courier delivers exactly eight parcels—G, H, J, K, L, M, N, and O. No two parcels are delivered at the same time, nor is any parcel delivered more than once. The following conditions must apply: L is delivered later than H. K is delivered earlier than O. H is delivered earlier than M. O is delivered later than G. M is delivered earlier than G. Both N and J are delivered earlier than M.

Question: Which one of the following must be true?
Options:
At least one parcel is delivered earlier than K is delivered.
At least two parcels are delivered later than G is delivered.
At least four parcels are delivered later than H is delivered.
At least four parcels are delivered later than J is delivered.
At least four parcels are delivered earlier than M is delivered.
Correct option (0-indexed): 2
A courier delivers exactly eight parcels—G, H, J, K, L, M, N, and O. No two parcels are delivered at the same time, nor is any parcel delivered more than once. The following conditions must apply: L is delivered later than H. K is delivered earlier than O. H is delivered earlier than M. O is delivered later than G. M is delivered earlier than G. Both N and J are delivered earlier than M.

Question: If M is the fourth parcel delivered, then which one of the following must be true?
Options:
G is the fifth parcel delivered.
O is the seventh parcel delivered.
J is delivered later than H.
K is delivered later than N.
G is delivered later than L.
Correct option (0-indexed): 3
A courier delivers exactly eight parcels—G, H, J, K, L, M, N, and O. No two parcels are delivered at the same time, nor is any parcel delivered more than once. The following conditions must apply: L is delivered later than H. K is delivered earlier than O. H is delivered earlier than M. O is delivered later than G. M is delivered earlier than G. Both N and J are delivered earlier than M.

Question: If H is the fourth parcel delivered, then each of the following could be true EXCEPT:
Options:
K is the fifth parcel delivered.
L is the sixth parcel delivered.
M is the sixth parcel delivered.
G is the seventh parcel delivered.
O is the seventh parcel delivered.
Correct option (0-indexed): 0
A courier delivers exactly eight parcels—G, H, J, K, L, M, N, and O. No two parcels are delivered at the same time, nor is any parcel delivered more than once. The following conditions must apply: L is delivered later than H. K is delivered earlier than O. H is delivered earlier than M. O is delivered later than G. M is delivered earlier than G. Both N and J are delivered earlier than M.

Question: Each of the following could be true EXCEPT:
Options:
H is delivered later than K.
J is delivered later than G.
L is delivered later than O.
M is delivered later than L.
N is delivered later than H.
Correct option (0-indexed): 1
A courier delivers exactly eight parcels—G, H, J, K, L, M, N, and O. No two parcels are delivered at the same time, nor is any parcel delivered more than once. The following conditions must apply: L is delivered later than H. K is delivered earlier than O. H is delivered earlier than M. O is delivered later than G. M is delivered earlier than G. Both N and J are delivered earlier than M.

Question: If K is the seventh parcel delivered, then each of the following could be true EXCEPT:
Options:
G is the fifth parcel delivered.
M is the fifth parcel delivered.
H is the fourth parcel delivered.
L is the fourth parcel delivered.
J is the third parcel delivered.
Correct option (0-indexed): 2
A courier delivers exactly eight parcels—G, H, J, K, L, M, N, and O. No two parcels are delivered at the same time, nor is any parcel delivered more than once. The following conditions must apply: L is delivered later than H. K is delivered earlier than O. H is delivered earlier than M. O is delivered later than G. M is delivered earlier than G. Both N and J are delivered earlier than M.

Question: If L is delivered earlier than K, then which one of the following must be false?
Options:
N is the second parcel delivered.
L is the third parcel delivered.
H is the fourth parcel delivered.
K is the fifth parcel delivered.
M is the sixth parcel delivered.
Correct option (0-indexed): 2
A company employee generates a series of five-digit product codes in accordance with the following rules: The codes use the digits 0, 1, 2, 3, and 4, and no others. Each digit occurs exactly once in any code. The second digit has a value exactly twice that of the first digit. The value of the third digit is less than the value of the fifth digit.

Question: If the last digit of an acceptable product code is 1, it must be true that the
Options:
first digit is 2
second digit is 0
third digit is 3
fourth digit is 4
fourth digit is 0
Correct option (0-indexed): 0
A company employee generates a series of five-digit product codes in accordance with the following rules: The codes use the digits 0, 1, 2, 3, and 4, and no others. Each digit occurs exactly once in any code. The second digit has a value exactly twice that of the first digit. The value of the third digit is less than the value of the fifth digit.

Question: Which one of the following must be true about any acceptable product code?
Options:
The digit 1 appears in some position before the digit 2.
The digit 1 appears in some position before the digit 3.
The digit 2 appears in some position before the digit 3.
The digit 3 appears in some position before the digit 0.
The digit 4 appears in some position before the digit 3.
Correct option (0-indexed): 2
A company employee generates a series of five-digit product codes in accordance with the following rules: The codes use the digits 0, 1, 2, 3, and 4, and no others. Each digit occurs exactly once in any code. The second digit has a value exactly twice that of the first digit. The value of the third digit is less than the value of the fifth digit.

Question: If the third digit of an acceptable product code is not 0, which one of the following must be true?
Options:
The second digit of the product code is 2.
The third digit of the product code is 3.
The fourth digit of the product code is 0.
The fifth digit of the product code is 3.
The fifth digit of the product code is 1.
Correct option (0-indexed): 2
A company employee generates a series of five-digit product codes in accordance with the following rules: The codes use the digits 0, 1, 2, 3, and 4, and no others. Each digit occurs exactly once in any code. The second digit has a value exactly twice that of the first digit. The value of the third digit is less than the value of the fifth digit.

Question: Any of the following pairs could be the third and fourth digits, respectively, of an acceptable product code, EXCEPT:
Options:
0, 1
0, 3
1, 0
3, 0
3, 4
Correct option (0-indexed): 4
A company employee generates a series of five-digit product codes in accordance with the following rules: The codes use the digits 0, 1, 2, 3, and 4, and no others. Each digit occurs exactly once in any code. The second digit has a value exactly twice that of the first digit. The value of the third digit is less than the value of the fifth digit.

Question: Which one of the following must be true about any acceptable product code?
Options:
There is exactly one digit between the digit 0 and the digit 1.
There is exactly one digit between the digit 1 and the digit 2.
There are at most two digits between the digit 1 and the digit 3.
There are at most two digits between the digit 2 and the digit 3.
There are at most two digits between the digit 2 and the digit 4.
Correct option (0-indexed): 4
Exactly three films—Greed, Harvest, and Limelight—are shown during a film club's festival held on Thursday, Friday, and Saturday. Each film is shown at least once during the festival but never more than once on a given day. On each day at least one film is shown. Films are shown one at a time. The following conditions apply: On Thursday Harvest is shown, and no film is shown after it on that day. On Friday either Greed or Limelight, but not both, is shown, and no film is shown after it on that day. On Saturday either Greed or Harvest, but not both, is shown, and no film is shown after it on that day.

Question: Which one of the following could be a complete and accurate description of the order in which the films are shown at the festival?
Options:
Thursday: Limelight, then Harvest; Friday: Limelight; Saturday: Harvest
Thursday: Harvest; Friday: Greed, then Limelight; Saturday: Limelight, then Greed
Thursday: Harvest; Friday: Limelight; Saturday: Limelight, then Greed
Thursday: Greed, then Harvest, then Limelight; Friday: Limelight; Saturday: Greed
Thursday: Greed, then Harvest; Friday: Limelight, then Harvest; Saturday: Harvest
Correct option (0-indexed): 2
Exactly three films—Greed, Harvest, and Limelight—are shown during a film club's festival held on Thursday, Friday, and Saturday. Each film is shown at least once during the festival but never more than once on a given day. On each day at least one film is shown. Films are shown one at a time. The following conditions apply: On Thursday Harvest is shown, and no film is shown after it on that day. On Friday either Greed or Limelight, but not both, is shown, and no film is shown after it on that day. On Saturday either Greed or Harvest, but not both, is shown, and no film is shown after it on that day.

Question: Which one of the following CANNOT be true?
Options:
Harvest is the last film shown on each day of the festival.
Limelight is shown on each day of the festival.
Greed is shown second on each day of the festival.
A different film is shown first on each day of the festival.
A different film is shown last on each day of the festival.
Correct option (0-indexed): 0
Exactly three films—Greed, Harvest, and Limelight—are shown during a film club's festival held on Thursday, Friday, and Saturday. Each film is shown at least once during the festival but never more than once on a given day. On each day at least one film is shown. Films are shown one at a time. The following conditions apply: On Thursday Harvest is shown, and no film is shown after it on that day. On Friday either Greed or Limelight, but not both, is shown, and no film is shown after it on that day. On Saturday either Greed or Harvest, but not both, is shown, and no film is shown after it on that day.

Question: If Limelight is never shown again during the festival once Greed is shown, then which one of the following is the maximum number of film showings that could occur during the festival?
Options:
three
four
five
six
seven
Correct option (0-indexed): 3
Exactly three films—Greed, Harvest, and Limelight—are shown during a film club's festival held on Thursday, Friday, and Saturday. Each film is shown at least once during the festival but never more than once on a given day. On each day at least one film is shown. Films are shown one at a time. The following conditions apply: On Thursday Harvest is shown, and no film is shown after it on that day. On Friday either Greed or Limelight, but not both, is shown, and no film is shown after it on that day. On Saturday either Greed or Harvest, but not both, is shown, and no film is shown after it on that day.

Question: If Greed is shown exactly three times, Harvest is shown exactly twice, and Limelight is shown exactly once, then which one of the following must be true?
Options:
All three films are shown on Thursday.
Exactly two films are shown on Saturday.
Limelight and Harvest are both shown on Thursday.
Greed is the only film shown on Saturday.
Harvest and Greed are both shown on Friday.
Correct option (0-indexed): 4
Exactly three films—Greed, Harvest, and Limelight—are shown during a film club's festival held on Thursday, Friday, and Saturday. Each film is shown at least once during the festival but never more than once on a given day. On each day at least one film is shown. Films are shown one at a time. The following conditions apply: On Thursday Harvest is shown, and no film is shown after it on that day. On Friday either Greed or Limelight, but not both, is shown, and no film is shown after it on that day. On Saturday either Greed or Harvest, but not both, is shown, and no film is shown after it on that day.

Question: If Limelight is shown exactly three times, Harvest is shown exactly twice, and Greed is shown exactly once, then which one of the following is a complete and accurate list of the films that could be the first film shown on Thursday?
Options:
Harvest
Limelight
Greed, Harvest
Greed, Limelight
Greed, Harvest, Limelight
Correct option (0-indexed): 3
A cruise line is scheduling seven week-long voyages for the ship Freedom. Each voyage will occur in exactly one of the first seven weeks of the season: weeks 1 through 7. Each voyage will be to exactly one of four destinations: Guadeloupe, Jamaica, Martinique, or Trinidad. Each destination will be scheduled for at least one of the weeks. The following conditions apply to Freedom's schedule: Jamaica will not be its destination in week 4. Trinidad will be its destination in week 7. Freedom will make exactly two voyages to Martinique, and at least one voyage to Guadeloupe will occur in some week between those two voyages. Guadeloupe will be its destination in the week preceding any voyage it makes to Jamaica. No destination will be scheduled for consecutive weeks.

Question: Which one of the following is an acceptable schedule of destinations for Freedom, in order from week 1 through week 7?
Options:
Guadeloupe, Jamaica, Martinique, Trinidad, Guadeloupe, Martinique, Trinidad
Guadeloupe, Martinique, Trinidad, Martinique, Guadeloupe, Jamaica, Trinidad
Jamaica, Martinique, Guadeloupe, Martinique, Guadeloupe, Jamaica, Trinidad
Martinique, Trinidad, Guadeloupe, Jamaica, Martinique, Guadeloupe, Trinidad
Martinique, Trinidad, Guadeloupe, Trinidad, Guadeloupe, Jamaica, Martinique
Correct option (0-indexed): 0
A cruise line is scheduling seven week-long voyages for the ship Freedom. Each voyage will occur in exactly one of the first seven weeks of the season: weeks 1 through 7. Each voyage will be to exactly one of four destinations: Guadeloupe, Jamaica, Martinique, or Trinidad. Each destination will be scheduled for at least one of the weeks. The following conditions apply to Freedom's schedule: Jamaica will not be its destination in week 4. Trinidad will be its destination in week 7. Freedom will make exactly two voyages to Martinique, and at least one voyage to Guadeloupe will occur in some week between those two voyages. Guadeloupe will be its destination in the week preceding any voyage it makes to Jamaica. No destination will be scheduled for consecutive weeks.

Question: Which one of the following CANNOT be true about Freedom's schedule of voyages?
Options:
Freedom makes a voyage to Trinidad in week 6.
Freedom makes a voyage to Martinique in week 5.
Freedom makes a voyage to Jamaica in week 6.
Freedom makes a voyage to Jamaica in week 3.
Freedom makes a voyage to Guadeloupe in week 3.
Correct option (0-indexed): 0
A cruise line is scheduling seven week-long voyages for the ship Freedom. Each voyage will occur in exactly one of the first seven weeks of the season: weeks 1 through 7. Each voyage will be to exactly one of four destinations: Guadeloupe, Jamaica, Martinique, or Trinidad. Each destination will be scheduled for at least one of the weeks. The following conditions apply to Freedom's schedule: Jamaica will not be its destination in week 4. Trinidad will be its destination in week 7. Freedom will make exactly two voyages to Martinique, and at least one voyage to Guadeloupe will occur in some week between those two voyages. Guadeloupe will be its destination in the week preceding any voyage it makes to Jamaica. No destination will be scheduled for consecutive weeks.

Question: If Freedom makes a voyage to Trinidad in week 5, which one of the following could be true?
Options:
Freedom makes a voyage to Trinidad in week 1.
Freedom makes a voyage to Martinique in week 2.
Freedom makes a voyage to Guadeloupe in week 3.
Freedom makes a voyage to Martinique in week 4.
Freedom makes a voyage to Jamaica in week 6.
Correct option (0-indexed): 3
A cruise line is scheduling seven week-long voyages for the ship Freedom. Each voyage will occur in exactly one of the first seven weeks of the season: weeks 1 through 7. Each voyage will be to exactly one of four destinations: Guadeloupe, Jamaica, Martinique, or Trinidad. Each destination will be scheduled for at least one of the weeks. The following conditions apply to Freedom's schedule: Jamaica will not be its destination in week 4. Trinidad will be its destination in week 7. Freedom will make exactly two voyages to Martinique, and at least one voyage to Guadeloupe will occur in some week between those two voyages. Guadeloupe will be its destination in the week preceding any voyage it makes to Jamaica. No destination will be scheduled for consecutive weeks.

Question: If Freedom makes a voyage to Guadeloupe in week 1 and a voyage to Jamaica in week 5, which one of the following must be true?
Options:
Freedom makes a voyage to Jamaica in week 2.
Freedom makes a voyage to Trinidad in week 2.
Freedom makes a voyage to Martinique in week 3.
Freedom makes a voyage to Guadeloupe in week 6.
Freedom makes a voyage to Martinique in week 6.
Correct option (0-indexed): 4
A cruise line is scheduling seven week-long voyages for the ship Freedom. Each voyage will occur in exactly one of the first seven weeks of the season: weeks 1 through 7. Each voyage will be to exactly one of four destinations: Guadeloupe, Jamaica, Martinique, or Trinidad. Each destination will be scheduled for at least one of the weeks. The following conditions apply to Freedom's schedule: Jamaica will not be its destination in week 4. Trinidad will be its destination in week 7. Freedom will make exactly two voyages to Martinique, and at least one voyage to Guadeloupe will occur in some week between those two voyages. Guadeloupe will be its destination in the week preceding any voyage it makes to Jamaica. No destination will be scheduled for consecutive weeks.

Question: If Freedom makes a voyage to Guadeloupe in week 1 and to Trinidad in week 2, which one of the following must be true?
Options:
Freedom makes a voyage to Martinique in week 3.
Freedom makes a voyage to Martinique in week 4.
Freedom makes a voyage to Martinique in week 5.
Freedom makes a voyage to Guadeloupe in week 3.
Freedom makes a voyage to Guadeloupe in week 5.
Correct option (0-indexed): 0
A cruise line is scheduling seven week-long voyages for the ship Freedom. Each voyage will occur in exactly one of the first seven weeks of the season: weeks 1 through 7. Each voyage will be to exactly one of four destinations: Guadeloupe, Jamaica, Martinique, or Trinidad. Each destination will be scheduled for at least one of the weeks. The following conditions apply to Freedom's schedule: Jamaica will not be its destination in week 4. Trinidad will be its destination in week 7. Freedom will make exactly two voyages to Martinique, and at least one voyage to Guadeloupe will occur in some week between those two voyages. Guadeloupe will be its destination in the week preceding any voyage it makes to Jamaica. No destination will be scheduled for consecutive weeks.

Question: If Freedom makes a voyage to Martinique in week 3, which one of the following could be an accurate list of Freedom's destinations in week 4 and week 5, respectively?
Options:
Guadeloupe, Trinidad
Jamaica, Guadeloupe
Martinique, Trinidad
Trinidad, Jamaica
Trinidad, Martinique
Correct option (0-indexed): 0
A cruise line is scheduling seven week-long voyages for the ship Freedom. Each voyage will occur in exactly one of the first seven weeks of the season: weeks 1 through 7. Each voyage will be to exactly one of four destinations: Guadeloupe, Jamaica, Martinique, or Trinidad. Each destination will be scheduled for at least one of the weeks. The following conditions apply to Freedom's schedule: Jamaica will not be its destination in week 4. Trinidad will be its destination in week 7. Freedom will make exactly two voyages to Martinique, and at least one voyage to Guadeloupe will occur in some week between those two voyages. Guadeloupe will be its destination in the week preceding any voyage it makes to Jamaica. No destination will be scheduled for consecutive weeks.

Question: Which one of the following must be true about Freedom's schedule of voyages?
Options:
Freedom makes a voyage to Guadeloupe either in week 1 or else in week 2.
Freedom makes a voyage to Martinique either in week 2 or else in week 3.
Freedom makes at most two voyages to Guadeloupe.
Freedom makes at most two voyages to Jamaica.
Freedom makes at most two voyages to Trinidad.
Correct option (0-indexed): 3
There are exactly three recycling centers in Rivertown: Center 1, Center 2, and Center 3. Exactly five kinds of material are recycled at these recycling centers: glass, newsprint, plastic, tin, and wood. Each recycling center recycles at least two but no more than three of these kinds of material. The following conditions must hold: Any recycling center that recycles wood also recycles newsprint. Every kind of material that Center 2 recycles is also recycled at Center 1. Only one of the recycling centers recycles plastic, and that recycling center does not recycle glass.

Question: Which one of the following could be an accurate account of all the kinds of material recycled at each recycling center in Rivertown?
Options:
Center 1: newsprint, plastic, wood; Center 2: newsprint, wood; Center 3: glass, tin, wood
Center 1: glass, newsprint, tin; Center 2: glass, newsprint, tin; Center 3: newsprint, plastic, wood
Center 1: glass, newsprint, wood; Center 2: glass, newsprint, tin; Center 3: plastic, tin
Center 1: glass, plastic, tin; Center 2: glass, tin; Center 3: newsprint, wood
Center 1: newsprint, plastic, wood; Center 2: newsprint, plastic, wood; Center 3: glass, newsprint, tin
Correct option (0-indexed): 1
There are exactly three recycling centers in Rivertown: Center 1, Center 2, and Center 3. Exactly five kinds of material are recycled at these recycling centers: glass, newsprint, plastic, tin, and wood. Each recycling center recycles at least two but no more than three of these kinds of material. The following conditions must hold: Any recycling center that recycles wood also recycles newsprint. Every kind of material that Center 2 recycles is also recycled at Center 1. Only one of the recycling centers recycles plastic, and that recycling center does not recycle glass.

Question: Which one of the following is a complete and accurate list of the recycling centers in Rivertown any one of which could recycle plastic?
Options:
Center 1 only
Center 3 only
Center 1, Center 2
Center 1, Center 3
Center 1, Center 2, Center 3
Correct option (0-indexed): 3
There are exactly three recycling centers in Rivertown: Center 1, Center 2, and Center 3. Exactly five kinds of material are recycled at these recycling centers: glass, newsprint, plastic, tin, and wood. Each recycling center recycles at least two but no more than three of these kinds of material. The following conditions must hold: Any recycling center that recycles wood also recycles newsprint. Every kind of material that Center 2 recycles is also recycled at Center 1. Only one of the recycling centers recycles plastic, and that recycling center does not recycle glass.

Question: If Center 2 recycles three kinds of material, then which one of the following kinds of material must Center 3 recycle?
Options:
glass
newsprint
plastic
tin
wood
Correct option (0-indexed): 2
There are exactly three recycling centers in Rivertown: Center 1, Center 2, and Center 3. Exactly five kinds of material are recycled at these recycling centers: glass, newsprint, plastic, tin, and wood. Each recycling center recycles at least two but no more than three of these kinds of material. The following conditions must hold: Any recycling center that recycles wood also recycles newsprint. Every kind of material that Center 2 recycles is also recycled at Center 1. Only one of the recycling centers recycles plastic, and that recycling center does not recycle glass.

Question: If each recycling center in Rivertown recycles exactly three kinds of material, then which one of the following could be true?
Options:
Only Center 2 recycles glass.
Only Center 3 recycles newsprint.
Only Center 1 recycles plastic.
Only Center 3 recycles tin.
Only Center 1 recycles wood.
Correct option (0-indexed): 3
There are exactly three recycling centers in Rivertown: Center 1, Center 2, and Center 3. Exactly five kinds of material are recycled at these recycling centers: glass, newsprint, plastic, tin, and wood. Each recycling center recycles at least two but no more than three of these kinds of material. The following conditions must hold: Any recycling center that recycles wood also recycles newsprint. Every kind of material that Center 2 recycles is also recycled at Center 1. Only one of the recycling centers recycles plastic, and that recycling center does not recycle glass.

Question: If Center 3 recycles glass, then which one of the following kinds of material must Center 2 recycle?
Options:
glass
newsprint
plastic
tin
wood
Correct option (0-indexed): 1
There are exactly three recycling centers in Rivertown: Center 1, Center 2, and Center 3. Exactly five kinds of material are recycled at these recycling centers: glass, newsprint, plastic, tin, and wood. Each recycling center recycles at least two but no more than three of these kinds of material. The following conditions must hold: Any recycling center that recycles wood also recycles newsprint. Every kind of material that Center 2 recycles is also recycled at Center 1. Only one of the recycling centers recycles plastic, and that recycling center does not recycle glass.

Question: If Center 1 is the only recycling center that recycles wood, then which one of the following could be a complete and accurate list of the kinds of material that one of the recycling centers recycles?
Options:
plastic, tin
newsprint, wood
newsprint, tin
glass, wood
glass, tin
Correct option (0-indexed): 0
Workers at a water treatment plant open eight valves—G, H, I, K, L, N, O, and P—to flush out a system of pipes that needs emergency repairs. To maximize safety and efficiency, each valve is opened exactly once, and no two valves are opened at the same time. The valves are opened in accordance with the following conditions: Both K and P are opened before H. O is opened before L but after H. L is opened after G. N is opened before H. I is opened after K.

Question: Which one of the following could be the order, from first to last, in which the valves are opened?
Options:
P, I, K, G, N, H, O, L
P, G, K, N, L, H, O, I
G, K, I, P, H, O, N, L
N, K, P, H, O, I, L, G
K, I, N, G, P, H, O, L
Correct option (0-indexed): 4
Workers at a water treatment plant open eight valves—G, H, I, K, L, N, O, and P—to flush out a system of pipes that needs emergency repairs. To maximize safety and efficiency, each valve is opened exactly once, and no two valves are opened at the same time. The valves are opened in accordance with the following conditions: Both K and P are opened before H. O is opened before L but after H. L is opened after G. N is opened before H. I is opened after K.

Question: Each of the following could be the fifth valve opened EXCEPT:
Options:
H
I
K
N
O
Correct option (0-indexed): 2
Workers at a water treatment plant open eight valves—G, H, I, K, L, N, O, and P—to flush out a system of pipes that needs emergency repairs. To maximize safety and efficiency, each valve is opened exactly once, and no two valves are opened at the same time. The valves are opened in accordance with the following conditions: Both K and P are opened before H. O is opened before L but after H. L is opened after G. N is opened before H. I is opened after K.

Question: If I is the second valve opened, then each of the following could be true EXCEPT:
Options:
G is the third valve opened.
H is the fourth valve opened.
P is the fifth valve opened.
O is the sixth valve opened.
G is the seventh valve opened.
Correct option (0-indexed): 1
Workers at a water treatment plant open eight valves—G, H, I, K, L, N, O, and P—to flush out a system of pipes that needs emergency repairs. To maximize safety and efficiency, each valve is opened exactly once, and no two valves are opened at the same time. The valves are opened in accordance with the following conditions: Both K and P are opened before H. O is opened before L but after H. L is opened after G. N is opened before H. I is opened after K.

Question: If L is the seventh valve opened, then each of the following could be the second valve opened EXCEPT:
Options:
G
I
K
N
P
Correct option (0-indexed): 1
Workers at a water treatment plant open eight valves—G, H, I, K, L, N, O, and P—to flush out a system of pipes that needs emergency repairs. To maximize safety and efficiency, each valve is opened exactly once, and no two valves are opened at the same time. The valves are opened in accordance with the following conditions: Both K and P are opened before H. O is opened before L but after H. L is opened after G. N is opened before H. I is opened after K.

Question: Which one of the following must be true?
Options:
At least one valve is opened before P is opened.
At least two valves are opened before G is opened.
No more than two valves are opened after O is opened.
No more than three valves are opened after H is opened.
No more than four valves are opened before N is opened.
Correct option (0-indexed): 4
Workers at a water treatment plant open eight valves—G, H, I, K, L, N, O, and P—to flush out a system of pipes that needs emergency repairs. To maximize safety and efficiency, each valve is opened exactly once, and no two valves are opened at the same time. The valves are opened in accordance with the following conditions: Both K and P are opened before H. O is opened before L but after H. L is opened after G. N is opened before H. I is opened after K.

Question: If K is the fourth valve opened, then which one of the following could be true?
Options:
I is the second valve opened.
N is the third valve opened.
G is the fifth valve opened.
O is the fifth valve opened.
P is the sixth valve opened.
Correct option (0-indexed): 1