LSAT Logic Games
Scenario and Rules
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 1.
If the last digit of an acceptable product code is 1, it must be true that the
(A) first digit is 2
(B) second digit is 0
(C) third digit is 3
(D) fourth digit is 4
(E) fourth digit is 0
Question 2.
Which one of the following must be true about any acceptable product code?
(A) The digit 1 appears in some position before the digit 2.
(B) The digit 1 appears in some position before the digit 3.
(C) The digit 2 appears in some position before the digit 3.
(D) The digit 3 appears in some position before the digit 0.
(E) The digit 4 appears in some position before the digit 3.
Question 3.
If the third digit of an acceptable product code is not 0, which one of the following must be true?
(A) The second digit of the product code is 2.
(B) The third digit of the product code is 3.
(C) The fourth digit of the product code is 0.
(D) The fifth digit of the product code is 3.
(E) The fifth digit of the product code is 1.
Question 4.
Any of the following pairs could be the third and fourth digits, respectively, of an acceptable product code, EXCEPT:
(A) 0, 1
(B) 0, 3
(C) 1, 0
(D) 3, 0
(E) 3, 4
Question 5.
Which one of the following must be true about any acceptable product code?
(A) There is exactly one digit between the digit 0 and the digit 1.
(B) There is exactly one digit between the digit 1 and the digit 2.
(C) There are at most two digits between the digit 1 and the digit 3.
(D) There are at most two digits between the digit 2 and the digit 3.
(E) There are at most two digits between the digit 2 and the digit 4.
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Scenario and Rules
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 6.
Which one of the following could be a complete and accurate description of the order in which the films are shown at the festival?
(A) Thursday: Limelight, then Harvest; Friday: Limelight; Saturday: Harvest
(B) Thursday: Harvest; Friday: Greed, then Limelight; Saturday: Limelight, then Greed
(C) Thursday: Harvest; Friday: Limelight; Saturday: Limelight, then Greed
(D) Thursday: Greed, then Harvest, then Limelight; Friday: Limelight; Saturday: Greed
(E) Thursday: Greed, then Harvest; Friday: Limelight, then Harvest; Saturday: Harvest
Question 7.
Which one of the following CANNOT be true?
(A) Harvest is the last film shown on each day of the festival.
(B) Limelight is shown on each day of the festival.
(C) Greed is shown second on each day of the festival.
(D) A different film is shown first on each day of the festival.
(E) A different film is shown last on each day of the festival.
Question 8.
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?
(A) three
(B) four
(C) five
(D) six
(E) seven
Question 9.
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?
(A) All three films are shown on Thursday.
(B) Exactly two films are shown on Saturday.
(C) Limelight and Harvest are both shown on Thursday.
(D) Greed is the only film shown on Saturday.
(E) Harvest and Greed are both shown on Friday.
Question 10.
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?
(A) Harvest
(B) Limelight
(C) Greed, Harvest
(D) Greed, Limelight
(E) Greed, Harvest, Limelight
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Scenario and Rules
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 11.
Which one of the following is an acceptable schedule of destinations for Freedom, in order from week 1 through week 7?
(A) Guadeloupe, Jamaica, Martinique, Trinidad, Guadeloupe, Martinique, Trinidad
(B) Guadeloupe, Martinique, Trinidad, Martinique, Guadeloupe, Jamaica, Trinidad
(C) Jamaica, Martinique, Guadeloupe, Martinique, Guadeloupe, Jamaica, Trinidad
(D) Martinique, Trinidad, Guadeloupe, Jamaica, Martinique, Guadeloupe, Trinidad
(E) Martinique, Trinidad, Guadeloupe, Trinidad, Guadeloupe, Jamaica, Martinique
Question 12.
Which one of the following CANNOT be true about Freedom’s schedule of voyages?
(A) Freedom makes a voyage to Trinidad in week 6.
(B) Freedom makes a voyage to Martinique in week 5.
(C) Freedom makes a voyage to Jamaica in week 6.
(D) Freedom makes a voyage to Jamaica in week 3.
(E) Freedom makes a voyage to Guadeloupe in week 3.
Question 13.
If Freedom makes a voyage to Trinidad in week 5, which one of the following could be true?
(A) Freedom makes a voyage to Trinidad in week 1.
(B) Freedom makes a voyage to Martinique in week 2.
(C) Freedom makes a voyage to Guadeloupe in week 3.
(D) Freedom makes a voyage to Martinique in week 4.
(E) Freedom makes a voyage to Jamaica in week 6.
Question 14.
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?
(A) Freedom makes a voyage to Jamaica in week 2.
(B) Freedom makes a voyage to Trinidad in week 2.
(C) Freedom makes a voyage to Martinique in week 3.
(D) Freedom makes a voyage to Guadeloupe in week 6.
(E) Freedom makes a voyage to Martinique in week 6.
Question 15.
If Freedom makes a voyage to Guadeloupe in week 1 and to Trinidad in week 2, which one of the following must be true?
(A) Freedom makes a voyage to Martinique in week 3.
(B) Freedom makes a voyage to Martinique in week 4.
(C) Freedom makes a voyage to Martinique in week 5.
(D) Freedom makes a voyage to Guadeloupe in week 3.
(E) Freedom makes a voyage to Guadeloupe in week 5.
Question 16.
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?
(A) Guadeloupe, Trinidad
(B) Jamaica, Guadeloupe
(C) Martinique, Trinidad
(D) Trinidad, Jamaica
(E) Trinidad, Martinique
Question 17.
Which one of the following must be true about Freedom’s schedule of voyages?
(A) Freedom makes a voyage to Guadeloupe either in week 1 or else in week 2.
(B) Freedom makes a voyage to Martinique either in week 2 or else in
week 3.
(C) Freedom makes at most two voyages to Guadeloupe.
(D) Freedom makes at most two voyages to Jamaica.
(E) Freedom makes at most two voyages to Trinidad.
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Scenario and Rules
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 18.
Which one of the following could be an accurate account of all the kinds of material recycled at each recycling center in Rivertown?
(A) Center 1: newsprint, plastic, wood; Center 2: newsprint, wood; Center 3: glass, tin, wood
(B) Center 1: glass, newsprint, tin; Center 2: glass, newsprint, tin; Center 3: newsprint, plastic, wood
(C) Center 1: glass, newsprint, wood; Center 2: glass, newsprint, tin; Center 3: plastic, tin
(D) Center 1: glass, plastic, tin; Center 2: glass, tin; Center 3: newsprint, wood
(E) Center 1: newsprint, plastic, wood; Center 2: newsprint, plastic, wood; Center 3: glass,newsprint, tin
Question 19.
Which one of the following is a complete and accurate list of the recycling centers in Rivertown any one of which could recycle plastic?
(A) Center 1 only
(B) Center 3 only
(C) Center 1, Center 2
(D) Center 1, Center 3
(E) Center 1, Center 2, Center 3
Question 20.
If Center 2 recycles three kinds of material, then which one of the following kinds of material must Center 3 recycle?
(A) glass
(B) newsprint
(C) plastic
(D) tin
(E) wood
Question 21.
If each recycling center in Rivertown recycles exactly three kinds of material, then which one of the following could be true?
(A) Only Center 2 recycles glass.
(B) Only Center 3 recycles newsprint.
(C) Only Center 1 recycles plastic.
(D) Only Center 3 recycles tin.
(E) Only Center 1 recycles wood.
Question 22.
If Center 3 recycles glass, then which one of the following kinds of material must Center 2 recycle?
(A) glass
(B) newsprint
(C) plastic
(D) tin
(E) wood
Question 23.
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?
(A) plastic, tin
(B) newsprint, wood
(C) newsprint, tin
(D) glass, wood
(E) glass, tin
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Questions 1-4 are based on the following information:
Quantum, a specialty restaurant, is open for business every Monday through Saturday but is closed Sundays. Lunch is the only meal served on Mondays, Tuesdays and Thursdays. Dinner is the only meal served on Wednesdays, Fridays and Saturdays. The restaurant's floors are polished and its plants are watered only on days that Quantum is open for business, according the following schedule:
Plants are watered two days each week, but never on consecutive days and never on the same day that floors are polished.
Floors are polished on Monday and two other days each week, but never on consecutive days and never on the same day that plants are watered.
Question 1
According to the schedule, which of the following could be true?
Plants are watered on Wednesday.
Lunch is served on Friday.
Floors are polished on Tuesday.
Dinner is served on Thursday.
Plants are watered on Monday.
[Quick answer]
Explanatory Answer
Refer to this basic diagram. Plants could be watered on Wednesday if floors are polished on Monday, Thursday and Saturday (schedule 3 in the diagram). You can also answer the question by elimination: all answer choices but (A) make assertions that must be false under any schedule. The correct response is (A).
======================
Questions 1-4 are based on the following information:
Quantum, a specialty restaurant, is open for business every Monday through Saturday but is closed Sundays. Lunch is the only meal served on Mondays, Tuesdays and Thursdays. Dinner is the only meal served on Wednesdays, Fridays and Saturdays. The restaurant's floors are polished and its plants are watered only on days that Quantum is open for business, according the following schedule:
Plants are watered two days each week, but never on consecutive days and never on the same day that floors are polished.
Floors are polished on Monday and two other days each week, but never on consecutive days and never on the same day that plants are watered.
Question 2
According to the schedule, the restaurant's floors are polished on either
Tuesday or Wednesday
Tuesday or Thursday
Wednesday or Thursday
Thursday or Friday
Thursday or Saturday
[Quick answer]
Explanatory Answer
Refer to this basic diagram. Under schedules 1 and 2 floors are polished on Wednesday, while under schedule 3 floors are polished on Thurday. In any event, floors are polished on either Wednesday or Thursday. The correct response is (C).
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Questions 1-4 are based on the following information:
Quantum, a specialty restaurant, is open for business every Monday through Saturday but is closed Sundays. Lunch is the only meal served on Mondays, Tuesdays and Thursdays. Dinner is the only meal served on Wednesdays, Fridays and Saturdays. The restaurant's floors are polished and its plants are watered only on days that Quantum is open for business, according the following schedule:
Plants are watered two days each week, but never on consecutive days and never on the same day that floors are polished.
Floors are polished on Monday and two other days each week, but never on consecutive days and never on the same day that plants are watered.
Question 3
If dinner is served on a day that plants are watered, which of the following must be true?
Plants are watered on Tuesday.
Floors are polished on Thursday.
Plants are watered on Wednesday.
Floors are polished on Wednesday.
Plants are watered on Saturday.
[Quick answer]
Explanatory Answer
Refer to this basic diagram. Only under schedule 3 must dinner be served on the same day (Friday) that plants are watered as well. By this schedule floors must be polished on Thursday. The correct response is (B).
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Questions 1-4 are based on the following information:
Quantum, a specialty restaurant, is open for business every Monday through Saturday but is closed Sundays. Lunch is the only meal served on Mondays, Tuesdays and Thursdays. Dinner is the only meal served on Wednesdays, Fridays and Saturdays. The restaurant's floors are polished and its plants are watered only on days that Quantum is open for business, according the following schedule:
Plants are watered two days each week, but never on consecutive days and never on the same day that floors are polished.
Floors are polished on Monday and two other days each week, but never on consecutive days and never on the same day that plants are watered.
Question 4
Assume that floors are polished on consecutive instead of nonconsecutive days but that all other scheduling policies are unchanged. For how many of the six days can it be determined both whether plants are watered and whether floors are polished?
two
three
four
five
six
[Quick answer]
Explanatory Answer
Given that floors are polished on Monday, based on the question's assumptions floors must also be polished on Tuesday and Wednesday — i.e., on three consecutive days. Since plants are not watered on consecutive days (that policy is unchanged), they must be watered on Thursday and Saturday. Neither task is performed on Friday. The correct response is (E).
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A school teacher must schedule seven sessions, which are abbreviated M, N, O, P, S, T, and U, during a day. Seven different consecutive time periods are available for the sessions, and are numbered one through seven in the order that they occur. Only one session can be schedules for each period. The assignment of the sessions to the periods is subject to the following restrictions:
M and O must occupy consecutive periods.
M must be scheduled for an earlier period than U.
O must be scheduled for a later period than S.
If S does not occupy the fourth period, then P must occupy the fourth period.
U and T cannot occupy consecutively numbered periods.
1) Which of the following could be a possible list of the sessions in the order that they are scheduled during the day?
MOPSTNU
NTMSOUP
SMOPTNU
SOMPUTN
STOMPUN
2) If session M is assigned to the third period, then which of the following must be true?
N is assigned to the sixth period.
O is assigned to the first period.
S is assigned to the fourth period.
T is assigned to the fifth period.
U is assigned to the seventh period.
3) Which of the following could be true?
M is assigned to the first period.
O is assigned to the fifth period.
S is assigned to the seventh period.
T is assigned to the sixth period.
U is assigned to the third period.
4) If N is assigned to the third period, then each of the following could be true EXCEPT:
M is assigned to the fifth period.
O is assigned to the sixth period.
P is assigned to the fourth period.
U is assigned to the sixth period.
U is assigned to the sixth period.
5) If T is assigned to the seventh period, then which of the following must be assigned to the fifth period?
M
N
O
P
U
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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 1.
If the last digit of an acceptable product code is 1, it must be true that the
(A) first digit is 2
(B) second digit is 0
(C) third digit is 3
(D) fourth digit is 4
(E) fourth digit is 0
Question 2.
Which one of the following must be true about any acceptable product code?
(A) The digit 1 appears in some position before the digit 2.
(B) The digit 1 appears in some position before the digit 3.
(C) The digit 2 appears in some position before the digit 3.
(D) The digit 3 appears in some position before the digit 0.
(E) The digit 4 appears in some position before the digit 3.
Question 3.
If the third digit of an acceptable product code is not 0, which one of the following must be true?
(A) The second digit of the product code is 2.
(B) The third digit of the product code is 3.
(C) The fourth digit of the product code is 0.
(D) The fifth digit of the product code is 3.
(E) The fifth digit of the product code is 1.
Question 4.
Any of the following pairs could be the third and fourth digits, respectively, of an acceptable product code, EXCEPT:
(A) 0, 1
(B) 0, 3
(C) 1, 0
(D) 3, 0
(E) 3, 4
Question 5.
Which one of the following must be true about any acceptable product code?
(A) There is exactly one digit between the digit 0 and the digit 1.
(B) There is exactly one digit between the digit 1 and the digit 2.
(C) There are at most two digits between the digit 1 and the digit 3.
(D) There are at most two digits between the digit 2 and the digit 3.
(E) There are at most two digits between the digit 2 and the digit 4.
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Scenario and Rules
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 6.
Which one of the following could be a complete and accurate description of the order in which the films are shown at the festival?
(A) Thursday: Limelight, then Harvest; Friday: Limelight; Saturday: Harvest
(B) Thursday: Harvest; Friday: Greed, then Limelight; Saturday: Limelight, then Greed
(C) Thursday: Harvest; Friday: Limelight; Saturday: Limelight, then Greed
(D) Thursday: Greed, then Harvest, then Limelight; Friday: Limelight; Saturday: Greed
(E) Thursday: Greed, then Harvest; Friday: Limelight, then Harvest; Saturday: Harvest
Question 7.
Which one of the following CANNOT be true?
(A) Harvest is the last film shown on each day of the festival.
(B) Limelight is shown on each day of the festival.
(C) Greed is shown second on each day of the festival.
(D) A different film is shown first on each day of the festival.
(E) A different film is shown last on each day of the festival.
Question 8.
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?
(A) three
(B) four
(C) five
(D) six
(E) seven
Question 9.
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?
(A) All three films are shown on Thursday.
(B) Exactly two films are shown on Saturday.
(C) Limelight and Harvest are both shown on Thursday.
(D) Greed is the only film shown on Saturday.
(E) Harvest and Greed are both shown on Friday.
Question 10.
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?
(A) Harvest
(B) Limelight
(C) Greed, Harvest
(D) Greed, Limelight
(E) Greed, Harvest, Limelight
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Scenario and Rules
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 11.
Which one of the following is an acceptable schedule of destinations for Freedom, in order from week 1 through week 7?
(A) Guadeloupe, Jamaica, Martinique, Trinidad, Guadeloupe, Martinique, Trinidad
(B) Guadeloupe, Martinique, Trinidad, Martinique, Guadeloupe, Jamaica, Trinidad
(C) Jamaica, Martinique, Guadeloupe, Martinique, Guadeloupe, Jamaica, Trinidad
(D) Martinique, Trinidad, Guadeloupe, Jamaica, Martinique, Guadeloupe, Trinidad
(E) Martinique, Trinidad, Guadeloupe, Trinidad, Guadeloupe, Jamaica, Martinique
Question 12.
Which one of the following CANNOT be true about Freedom’s schedule of voyages?
(A) Freedom makes a voyage to Trinidad in week 6.
(B) Freedom makes a voyage to Martinique in week 5.
(C) Freedom makes a voyage to Jamaica in week 6.
(D) Freedom makes a voyage to Jamaica in week 3.
(E) Freedom makes a voyage to Guadeloupe in week 3.
Question 13.
If Freedom makes a voyage to Trinidad in week 5, which one of the following could be true?
(A) Freedom makes a voyage to Trinidad in week 1.
(B) Freedom makes a voyage to Martinique in week 2.
(C) Freedom makes a voyage to Guadeloupe in week 3.
(D) Freedom makes a voyage to Martinique in week 4.
(E) Freedom makes a voyage to Jamaica in week 6.
Question 14.
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?
(A) Freedom makes a voyage to Jamaica in week 2.
(B) Freedom makes a voyage to Trinidad in week 2.
(C) Freedom makes a voyage to Martinique in week 3.
(D) Freedom makes a voyage to Guadeloupe in week 6.
(E) Freedom makes a voyage to Martinique in week 6.
Question 15.
If Freedom makes a voyage to Guadeloupe in week 1 and to Trinidad in week 2, which one of the following must be true?
(A) Freedom makes a voyage to Martinique in week 3.
(B) Freedom makes a voyage to Martinique in week 4.
(C) Freedom makes a voyage to Martinique in week 5.
(D) Freedom makes a voyage to Guadeloupe in week 3.
(E) Freedom makes a voyage to Guadeloupe in week 5.
Question 16.
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?
(A) Guadeloupe, Trinidad
(B) Jamaica, Guadeloupe
(C) Martinique, Trinidad
(D) Trinidad, Jamaica
(E) Trinidad, Martinique
Question 17.
Which one of the following must be true about Freedom’s schedule of voyages?
(A) Freedom makes a voyage to Guadeloupe either in week 1 or else in week 2.
(B) Freedom makes a voyage to Martinique either in week 2 or else in
week 3.
(C) Freedom makes at most two voyages to Guadeloupe.
(D) Freedom makes at most two voyages to Jamaica.
(E) Freedom makes at most two voyages to Trinidad.
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Scenario and Rules
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 18.
Which one of the following could be an accurate account of all the kinds of material recycled at each recycling center in Rivertown?
(A) Center 1: newsprint, plastic, wood; Center 2: newsprint, wood; Center 3: glass, tin, wood
(B) Center 1: glass, newsprint, tin; Center 2: glass, newsprint, tin; Center 3: newsprint, plastic, wood
(C) Center 1: glass, newsprint, wood; Center 2: glass, newsprint, tin; Center 3: plastic, tin
(D) Center 1: glass, plastic, tin; Center 2: glass, tin; Center 3: newsprint, wood
(E) Center 1: newsprint, plastic, wood; Center 2: newsprint, plastic, wood; Center 3: glass,newsprint, tin
Question 19.
Which one of the following is a complete and accurate list of the recycling centers in Rivertown any one of which could recycle plastic?
(A) Center 1 only
(B) Center 3 only
(C) Center 1, Center 2
(D) Center 1, Center 3
(E) Center 1, Center 2, Center 3
Question 20.
If Center 2 recycles three kinds of material, then which one of the following kinds of material must Center 3 recycle?
(A) glass
(B) newsprint
(C) plastic
(D) tin
(E) wood
Question 21.
If each recycling center in Rivertown recycles exactly three kinds of material, then which one of the following could be true?
(A) Only Center 2 recycles glass.
(B) Only Center 3 recycles newsprint.
(C) Only Center 1 recycles plastic.
(D) Only Center 3 recycles tin.
(E) Only Center 1 recycles wood.
Question 22.
If Center 3 recycles glass, then which one of the following kinds of material must Center 2 recycle?
(A) glass
(B) newsprint
(C) plastic
(D) tin
(E) wood
Question 23.
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?
(A) plastic, tin
(B) newsprint, wood
(C) newsprint, tin
(D) glass, wood
(E) glass, tin
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Questions 1-4 are based on the following information:
Quantum, a specialty restaurant, is open for business every Monday through Saturday but is closed Sundays. Lunch is the only meal served on Mondays, Tuesdays and Thursdays. Dinner is the only meal served on Wednesdays, Fridays and Saturdays. The restaurant's floors are polished and its plants are watered only on days that Quantum is open for business, according the following schedule:
Plants are watered two days each week, but never on consecutive days and never on the same day that floors are polished.
Floors are polished on Monday and two other days each week, but never on consecutive days and never on the same day that plants are watered.
Question 1
According to the schedule, which of the following could be true?
Plants are watered on Wednesday.
Lunch is served on Friday.
Floors are polished on Tuesday.
Dinner is served on Thursday.
Plants are watered on Monday.
[Quick answer]
Explanatory Answer
Refer to this basic diagram. Plants could be watered on Wednesday if floors are polished on Monday, Thursday and Saturday (schedule 3 in the diagram). You can also answer the question by elimination: all answer choices but (A) make assertions that must be false under any schedule. The correct response is (A).
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Questions 1-4 are based on the following information:
Quantum, a specialty restaurant, is open for business every Monday through Saturday but is closed Sundays. Lunch is the only meal served on Mondays, Tuesdays and Thursdays. Dinner is the only meal served on Wednesdays, Fridays and Saturdays. The restaurant's floors are polished and its plants are watered only on days that Quantum is open for business, according the following schedule:
Plants are watered two days each week, but never on consecutive days and never on the same day that floors are polished.
Floors are polished on Monday and two other days each week, but never on consecutive days and never on the same day that plants are watered.
Question 2
According to the schedule, the restaurant's floors are polished on either
Tuesday or Wednesday
Tuesday or Thursday
Wednesday or Thursday
Thursday or Friday
Thursday or Saturday
[Quick answer]
Explanatory Answer
Refer to this basic diagram. Under schedules 1 and 2 floors are polished on Wednesday, while under schedule 3 floors are polished on Thurday. In any event, floors are polished on either Wednesday or Thursday. The correct response is (C).
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Questions 1-4 are based on the following information:
Quantum, a specialty restaurant, is open for business every Monday through Saturday but is closed Sundays. Lunch is the only meal served on Mondays, Tuesdays and Thursdays. Dinner is the only meal served on Wednesdays, Fridays and Saturdays. The restaurant's floors are polished and its plants are watered only on days that Quantum is open for business, according the following schedule:
Plants are watered two days each week, but never on consecutive days and never on the same day that floors are polished.
Floors are polished on Monday and two other days each week, but never on consecutive days and never on the same day that plants are watered.
Question 3
If dinner is served on a day that plants are watered, which of the following must be true?
Plants are watered on Tuesday.
Floors are polished on Thursday.
Plants are watered on Wednesday.
Floors are polished on Wednesday.
Plants are watered on Saturday.
[Quick answer]
Explanatory Answer
Refer to this basic diagram. Only under schedule 3 must dinner be served on the same day (Friday) that plants are watered as well. By this schedule floors must be polished on Thursday. The correct response is (B).
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Questions 1-4 are based on the following information:
Quantum, a specialty restaurant, is open for business every Monday through Saturday but is closed Sundays. Lunch is the only meal served on Mondays, Tuesdays and Thursdays. Dinner is the only meal served on Wednesdays, Fridays and Saturdays. The restaurant's floors are polished and its plants are watered only on days that Quantum is open for business, according the following schedule:
Plants are watered two days each week, but never on consecutive days and never on the same day that floors are polished.
Floors are polished on Monday and two other days each week, but never on consecutive days and never on the same day that plants are watered.
Question 4
Assume that floors are polished on consecutive instead of nonconsecutive days but that all other scheduling policies are unchanged. For how many of the six days can it be determined both whether plants are watered and whether floors are polished?
two
three
four
five
six
[Quick answer]
Explanatory Answer
Given that floors are polished on Monday, based on the question's assumptions floors must also be polished on Tuesday and Wednesday — i.e., on three consecutive days. Since plants are not watered on consecutive days (that policy is unchanged), they must be watered on Thursday and Saturday. Neither task is performed on Friday. The correct response is (E).
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A school teacher must schedule seven sessions, which are abbreviated M, N, O, P, S, T, and U, during a day. Seven different consecutive time periods are available for the sessions, and are numbered one through seven in the order that they occur. Only one session can be schedules for each period. The assignment of the sessions to the periods is subject to the following restrictions:
M and O must occupy consecutive periods.
M must be scheduled for an earlier period than U.
O must be scheduled for a later period than S.
If S does not occupy the fourth period, then P must occupy the fourth period.
U and T cannot occupy consecutively numbered periods.
1) Which of the following could be a possible list of the sessions in the order that they are scheduled during the day?
MOPSTNU
NTMSOUP
SMOPTNU
SOMPUTN
STOMPUN
2) If session M is assigned to the third period, then which of the following must be true?
N is assigned to the sixth period.
O is assigned to the first period.
S is assigned to the fourth period.
T is assigned to the fifth period.
U is assigned to the seventh period.
3) Which of the following could be true?
M is assigned to the first period.
O is assigned to the fifth period.
S is assigned to the seventh period.
T is assigned to the sixth period.
U is assigned to the third period.
4) If N is assigned to the third period, then each of the following could be true EXCEPT:
M is assigned to the fifth period.
O is assigned to the sixth period.
P is assigned to the fourth period.
U is assigned to the sixth period.
U is assigned to the sixth period.
5) If T is assigned to the seventh period, then which of the following must be assigned to the fifth period?
M
N
O
P
U
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