Question:
A concert is given by a six-member band—guitarist, keyboard player, percussionist, saxophonist, trumpeter, violinist. During the concert, each member performs exactly one solo. The following restrictions apply: The guitarist does not perform the fourth solo. The percussionist performs a solo at some time before the keyboard player does. The keyboard player performs a solo at some time after the violinist does and at some time before the guitarist does. The saxophonist performs a solo at some time after either the percussionist does or the trumpeter does, but not both.
Question: If the violinist performs the fourth solo, then each of the following must be true EXCEPT:
 A. The percussionist performs a solo at some time before the violinist does.
 B. The trumpeter performs a solo at some time before the violinist does.
 C. The trumpeter performs a solo at some time before the guitarist does.
 D. The saxophonist performs a solo at some time before the violinist does.
 E. The trumpeter performs a solo at some time before the saxophonist does.
Answer:

Choices:
- A
- B
- C
- D
- E

A concert is given by a six-member band—guitarist, keyboard player, percussionist, saxophonist, trumpeter, violinist. During the concert, each member performs exactly one solo. The following restrictions apply: The guitarist does not perform the fourth solo. The percussionist performs a solo at some time before the keyboard player does. The keyboard player performs a solo at some time after the violinist does and at some time before the guitarist does. The saxophonist performs a solo at some time after either the percussionist does or the trumpeter does, but not both.
Question: If the violinist performs the fourth solo, then each of the following must be true EXCEPT:
 A. The percussionist performs a solo at some time before the violinist does.
 B. The trumpeter performs a solo at some time before the violinist does.
 C. The trumpeter performs a solo at some time before the guitarist does.
 D. The saxophonist performs a solo at some time before the violinist does.
 E. The trumpeter performs a solo at some time before the saxophonist does.
Answer: E


Question:
On each of exactly seven consecutive days (day 1 though day 7), a pet shop features exactly one of three breeds of kitten—Himalayan, Manx, Siamese—and exactly one of three breeds of puppy—Greyhound, Newfoundland, Rottweiler. The following conditions must apply: Greyhounds are featured on day 1. No breed is featured on any two consecutive days. Any breed featured on day 1 is not featured on day 7. Himalayans are featured on exactly three days, but not on day 1. Rottweilers are not featured on day 7, nor on any day that features Himalayans.
Question: If Himalayans are not featured on day 7, then which one of the following pairs of days CANNOT feature both the same breed of kitten and the same breed of puppy?
 A. day 1 and day 3
 B. day 2 and day 6
 C. day 3 and day 5
 D. day 4 and day 6
 E. day 5 and day 7
Answer:

Choices:
- A
- B
- C
- D
- E

On each of exactly seven consecutive days (day 1 though day 7), a pet shop features exactly one of three breeds of kitten—Himalayan, Manx, Siamese—and exactly one of three breeds of puppy—Greyhound, Newfoundland, Rottweiler. The following conditions must apply: Greyhounds are featured on day 1. No breed is featured on any two consecutive days. Any breed featured on day 1 is not featured on day 7. Himalayans are featured on exactly three days, but not on day 1. Rottweilers are not featured on day 7, nor on any day that features Himalayans.
Question: If Himalayans are not featured on day 7, then which one of the following pairs of days CANNOT feature both the same breed of kitten and the same breed of puppy?
 A. day 1 and day 3
 B. day 2 and day 6
 C. day 3 and day 5
 D. day 4 and day 6
 E. day 5 and day 7
Answer: B


Question:
A detective is trying to determine the order in which a criminal recruited seven accomplices—Peters, Quinn, Rovero, Stanton, Tao, Villas, and White. In addition to discovering that the suspect recruited the accomplices one at a time, the detective has established the following: Stanton was recruited neither immediately before nor immediately after Tao. Quinn was recruited earlier than Rovero. Villas was recruited immediately before White. Peters was recruited fourth.
Question: If White was recruited earlier than Rovero and if Rovero was recruited earlier than Tao, then which one of the following could be true?
 A. Quinn was recruited first.
 B. Rovero was recruited third.
 C. Stanton was recruited second.
 D. Tao was recruited sixth.
 E. Villas was recruited sixth.
Answer:

Choices:
- A
- B
- C
- D
- E

A detective is trying to determine the order in which a criminal recruited seven accomplices—Peters, Quinn, Rovero, Stanton, Tao, Villas, and White. In addition to discovering that the suspect recruited the accomplices one at a time, the detective has established the following: Stanton was recruited neither immediately before nor immediately after Tao. Quinn was recruited earlier than Rovero. Villas was recruited immediately before White. Peters was recruited fourth.
Question: If White was recruited earlier than Rovero and if Rovero was recruited earlier than Tao, then which one of the following could be true?
 A. Quinn was recruited first.
 B. Rovero was recruited third.
 C. Stanton was recruited second.
 D. Tao was recruited sixth.
 E. Villas was recruited sixth.
Answer: A


Question:
An author is planning to write a mystery novel consisting of seven chapters, chapter 1 through chapter 7. Each of seven different clues—R, S, T, U, W, X, and Z—is to be mentioned exactly once, one clue per chapter. The order in which the clues are mentioned is subject to the following constraints: T cannot be mentioned in chapter 1. T must be mentioned before W, and there must be exactly two chapters separating the mention of T from the mention of W. S and Z cannot be mentioned in adjacent chapters. W and X cannot be mentioned in adjacent chapters. U and X must be mentioned in adjacent chapters.
Question: If U is mentioned in chapter 3, which one of the following could be true?
 A. R is mentioned in chapter 1.
 B. R is mentioned in chapter 5.
 C. S is mentioned in chapter 7.
 D. W is mentioned in chapter 6.
 E. X is mentioned in chapter 4.
Answer:

Choices:
- A
- B
- C
- D
- E

An author is planning to write a mystery novel consisting of seven chapters, chapter 1 through chapter 7. Each of seven different clues—R, S, T, U, W, X, and Z—is to be mentioned exactly once, one clue per chapter. The order in which the clues are mentioned is subject to the following constraints: T cannot be mentioned in chapter 1. T must be mentioned before W, and there must be exactly two chapters separating the mention of T from the mention of W. S and Z cannot be mentioned in adjacent chapters. W and X cannot be mentioned in adjacent chapters. U and X must be mentioned in adjacent chapters.
Question: If U is mentioned in chapter 3, which one of the following could be true?
 A. R is mentioned in chapter 1.
 B. R is mentioned in chapter 5.
 C. S is mentioned in chapter 7.
 D. W is mentioned in chapter 6.
 E. X is mentioned in chapter 4.
Answer: A


Question:
A corporate manager is selecting employees for a research team. The team will include at least four employees, all from among the following eight: Myers, Ortega, Paine, Schmidt, Thomson, Wong, Yoder, and Zayre. The selection is constrained by the following conditions: If Myers is on the team, neither Ortega nor Paine can be. If Schmidt is on the team, both Paine and Thomson must also be. If Wong is on the team, both Myers and Yoder must also be.
Question: Which one of the following is a possible selection of employees for the team?
 A. Myers, Paine, Schmidt, and Thomson
 B. Ortega, Paine, Thomson, and Zayre
 C. Paine, Schmidt, Yoder, and Zayre
 D. Schmidt, Thomson, Yoder, and Zayre
 E. Thomson, Wong, Yoder, and Zayre
Answer:

Choices:
- A
- B
- C
- D
- E

A corporate manager is selecting employees for a research team. The team will include at least four employees, all from among the following eight: Myers, Ortega, Paine, Schmidt, Thomson, Wong, Yoder, and Zayre. The selection is constrained by the following conditions: If Myers is on the team, neither Ortega nor Paine can be. If Schmidt is on the team, both Paine and Thomson must also be. If Wong is on the team, both Myers and Yoder must also be.
Question: Which one of the following is a possible selection of employees for the team?
 A. Myers, Paine, Schmidt, and Thomson
 B. Ortega, Paine, Thomson, and Zayre
 C. Paine, Schmidt, Yoder, and Zayre
 D. Schmidt, Thomson, Yoder, and Zayre
 E. Thomson, Wong, Yoder, and Zayre
Answer: B


Question:
For the school paper, five students—Jiang, Kramer, Lopez, Megregian, and O'Neill—each review one or more of exactly three plays: Sunset, Tamerlane, and Undulation, but do not review any other plays. The following conditions must apply: Kramer and Lopez each review fewer of the plays than Megregian. Neither Lopez nor Megregian reviews any play Jiang reviews. Kramer and O'Neill both review Tamerlane. Exactly two of the students review exactly the same play or plays as each other.
Question: If exactly three of the students review Undulation, which one of the following could be true?
 A. Megregian does not review Undulation.
 B. O'Neill does not review Undulation.
 C. Jiang reviews Undulation.
 D. Lopez reviews Tamerlane.
 E. O'Neill reviews Sunset.
Answer:

Choices:
- A
- B
- C
- D
- E

For the school paper, five students—Jiang, Kramer, Lopez, Megregian, and O'Neill—each review one or more of exactly three plays: Sunset, Tamerlane, and Undulation, but do not review any other plays. The following conditions must apply: Kramer and Lopez each review fewer of the plays than Megregian. Neither Lopez nor Megregian reviews any play Jiang reviews. Kramer and O'Neill both review Tamerlane. Exactly two of the students review exactly the same play or plays as each other.
Question: If exactly three of the students review Undulation, which one of the following could be true?
 A. Megregian does not review Undulation.
 B. O'Neill does not review Undulation.
 C. Jiang reviews Undulation.
 D. Lopez reviews Tamerlane.
 E. O'Neill reviews Sunset.
Answer: E


Question:
A naturalist will give five lectures, each on a different type of bird: oystercatchers, petrels, rails, sandpipers, or terns. The lectures must be given in either Gladwyn Hall or Howard Auditorium, in an order that meets the following conditions: The first lecture is in Gladwyn Hall. The fourth lecture is in Howard Auditorium. Exactly three of the lectures are in Gladwyn Hall. The lecture on sandpipers is in Howard Auditorium and is given earlier than the lecture on oystercatchers. The lecture on terns is given earlier than the lecture on petrels, which is in Gladwyn Hall.
Question: If the lecture on terns is given in Howard Auditorium, which one of the following could be true of the third lecture?
 A. It is on oystercatchers and is in Gladwyn Hall.
 B. It is on rails and is in Howard Auditorium.
 C. It is on rails and is in Gladwyn Hall.
 D. It is on sandpipers and is in Howard Auditorium.
 E. It is on terns and is in Howard Auditorium.
Answer:

Choices:
- A
- B
- C
- D
- E

A naturalist will give five lectures, each on a different type of bird: oystercatchers, petrels, rails, sandpipers, or terns. The lectures must be given in either Gladwyn Hall or Howard Auditorium, in an order that meets the following conditions: The first lecture is in Gladwyn Hall. The fourth lecture is in Howard Auditorium. Exactly three of the lectures are in Gladwyn Hall. The lecture on sandpipers is in Howard Auditorium and is given earlier than the lecture on oystercatchers. The lecture on terns is given earlier than the lecture on petrels, which is in Gladwyn Hall.
Question: If the lecture on terns is given in Howard Auditorium, which one of the following could be true of the third lecture?
 A. It is on oystercatchers and is in Gladwyn Hall.
 B. It is on rails and is in Howard Auditorium.
 C. It is on rails and is in Gladwyn Hall.
 D. It is on sandpipers and is in Howard Auditorium.
 E. It is on terns and is in Howard Auditorium.
Answer: A


Question:
Of the eight students—George, Helen, Irving, Kyle, Lenore, Nina, Olivia, and Robert—in a seminar, exactly six will give individual oral reports during three consecutive days—Monday, Tuesday, and Wednesday. Exactly two reports will be given each day—one in the morning and one in the afternoon—according to the following conditions: Tuesday is the only day on which George can give a report. Neither Olivia nor Robert can give an afternoon report. If Nina gives a report, then on the next day Helen and Irving must both give reports, unless Nina's report is given on Wednesday.
Question: Which one of the following could be the schedule of the students' reports?
 A. Mon. morning: Helen; Mon. afternoon: Robert Tues. morning: Olivia; Tues. afternoon: Irving Wed. morning: Lenore; Wed. afternoon: Kyle
 B. Mon. morning: Irving; Mon. afternoon: Olivia Tues. morning: Helen; Tues. afternoon: Kyle Wed. morning: Nina; Wed. afternoon: Lenore
 C. Mon. morning: Lenore; Mon. afternoon: Helen Tues. morning: George; Tues. afternoon: Kyle Wed. morning: Robert; Wed. afternoon: Irving
 D. Mon. morning: Nina; Mon. afternoon: Helen Tues. morning: Robert; Tues. afternoon: Irving Wed. morning: Olivia; Wed. afternoon: Lenore
 E. Mon. morning: Olivia; Mon. afternoon: Nina Tues. morning: Irving; Tues. afternoon: Helen Wed. morning: Kyle; Wed. afternoon: George
Answer:

Choices:
- A
- B
- C
- D
- E

Of the eight students—George, Helen, Irving, Kyle, Lenore, Nina, Olivia, and Robert—in a seminar, exactly six will give individual oral reports during three consecutive days—Monday, Tuesday, and Wednesday. Exactly two reports will be given each day—one in the morning and one in the afternoon—according to the following conditions: Tuesday is the only day on which George can give a report. Neither Olivia nor Robert can give an afternoon report. If Nina gives a report, then on the next day Helen and Irving must both give reports, unless Nina's report is given on Wednesday.
Question: Which one of the following could be the schedule of the students' reports?
 A. Mon. morning: Helen; Mon. afternoon: Robert Tues. morning: Olivia; Tues. afternoon: Irving Wed. morning: Lenore; Wed. afternoon: Kyle
 B. Mon. morning: Irving; Mon. afternoon: Olivia Tues. morning: Helen; Tues. afternoon: Kyle Wed. morning: Nina; Wed. afternoon: Lenore
 C. Mon. morning: Lenore; Mon. afternoon: Helen Tues. morning: George; Tues. afternoon: Kyle Wed. morning: Robert; Wed. afternoon: Irving
 D. Mon. morning: Nina; Mon. afternoon: Helen Tues. morning: Robert; Tues. afternoon: Irving Wed. morning: Olivia; Wed. afternoon: Lenore
 E. Mon. morning: Olivia; Mon. afternoon: Nina Tues. morning: Irving; Tues. afternoon: Helen Wed. morning: Kyle; Wed. afternoon: George
Answer: C


Question:
A realtor will show a prospective buyer seven houses—J, K, L, M, N, 0, and P—during a single day. The first and second houses to be shown will be shown in the morning; the third, fourth, and fifth houses to be shown will be shown in the afternoon; the sixth and seventh houses to be shown will be shown in the evening. The houses will be shown according to the following rules: J must be shown in the evening. K cannot be shown in the morning. L must be shown at some time after K is shown and at some time before M is shown.
Question: Which one of the following could be true?
 A. K is shown at some time after J is shown.
 B. L is shown at some time after J is shown.
 C. P is shown at some time after J is shown.
 D. Both N and O are shown at some time after M is
 E. Both N and P are shown at some time after K is
Answer:

Choices:
- A
- B
- C
- D
- E

A realtor will show a prospective buyer seven houses—J, K, L, M, N, 0, and P—during a single day. The first and second houses to be shown will be shown in the morning; the third, fourth, and fifth houses to be shown will be shown in the afternoon; the sixth and seventh houses to be shown will be shown in the evening. The houses will be shown according to the following rules: J must be shown in the evening. K cannot be shown in the morning. L must be shown at some time after K is shown and at some time before M is shown.
Question: Which one of the following could be true?
 A. K is shown at some time after J is shown.
 B. L is shown at some time after J is shown.
 C. P is shown at some time after J is shown.
 D. Both N and O are shown at some time after M is
 E. Both N and P are shown at some time after K is
Answer: C


Question:
A realtor will show a prospective buyer seven houses—J, K, L, M, N, 0, and P—during a single day. The first and second houses to be shown will be shown in the morning; the third, fourth, and fifth houses to be shown will be shown in the afternoon; the sixth and seventh houses to be shown will be shown in the evening. The houses will be shown according to the following rules: J must be shown in the evening. K cannot be shown in the morning. L must be shown at some time after K is shown and at some time before M is shown.
Question: If P is shown in the afternoon, which one of the following must be true?
 A. J is shown seventh.
 B. K is shown third.
 C. N is shown first.
 D. M is shown in the afternoon.
 E. O is shown in the morning.
Answer:

Choices:
- A
- B
- C
- D
- E

A realtor will show a prospective buyer seven houses—J, K, L, M, N, 0, and P—during a single day. The first and second houses to be shown will be shown in the morning; the third, fourth, and fifth houses to be shown will be shown in the afternoon; the sixth and seventh houses to be shown will be shown in the evening. The houses will be shown according to the following rules: J must be shown in the evening. K cannot be shown in the morning. L must be shown at some time after K is shown and at some time before M is shown.
Question: If P is shown in the afternoon, which one of the following must be true?
 A. J is shown seventh.
 B. K is shown third.
 C. N is shown first.
 D. M is shown in the afternoon.
 E. O is shown in the morning.
Answer: E


Question:
Four art historians—Farley, Garcia, Holden, and Jiang—will give a series of four public lectures, each lecture on a different topic—lithographs, oil paintings, sculptures, and watercolors. The lectures will be given one at a time, with each art historian giving a lecture on a different one of the topics. The schedule of the lectures is subject to the following constraints: The oil paintings lecture and the watercolors lecture must both be earlier than the lithographs lecture. Farley's lecture must be earlier than the oil paintings lecture. Holden's lecture must be earlier than both Garcia's lecture and Jiang's lecture.
Question: If the watercolors lecture is third, which one of the following could be true?
 A. Farley gives the watercolors lecture.
 B. Garcia gives the oil paintings lecture.
 C. Garcia gives the sculptures lecture.
 D. Holden gives the sculptures lecture.
 E. Jiang gives the lithographs lecture.
Answer:

Choices:
- A
- B
- C
- D
- E

Four art historians—Farley, Garcia, Holden, and Jiang—will give a series of four public lectures, each lecture on a different topic—lithographs, oil paintings, sculptures, and watercolors. The lectures will be given one at a time, with each art historian giving a lecture on a different one of the topics. The schedule of the lectures is subject to the following constraints: The oil paintings lecture and the watercolors lecture must both be earlier than the lithographs lecture. Farley's lecture must be earlier than the oil paintings lecture. Holden's lecture must be earlier than both Garcia's lecture and Jiang's lecture.
Question: If the watercolors lecture is third, which one of the following could be true?
 A. Farley gives the watercolors lecture.
 B. Garcia gives the oil paintings lecture.
 C. Garcia gives the sculptures lecture.
 D. Holden gives the sculptures lecture.
 E. Jiang gives the lithographs lecture.
Answer: E


Question:
On the first day of a two-day study for a cycling magazine, four riders—Reynaldo, Seamus, Theresa, and Yuki—will each test one of four bicycles—F, G, H, and J. Each rider will then test a different one of the bicycles on the second day. Each rider tests only one bicycle per day, and all four bicycles are tested each day. The assignment of riders to bicycles is subject to the following conditions: Reynaldo cannot test F. Yuki cannot test J. Theresa must be one of the testers for H. The bicycle that Yuki tests on the first day must be tested by Seamus on the second day.
Question: Which one of the following is a possible assignment of riders to bicycles, with the riders for each bicycle listed in the order in which they test the bicycle?
 A. F: Seamus, Reynaldo; G: Yuki, Seamus; H: Theresa, Yuki; J: Reynaldo, Theresa
 B. F: Seamus, Yuki; G: Reynaldo, Theresa; H: Yuki, Seamus; J: Theresa, Reynaldo
 C. F: Yuki, Seamus; G: Seamus, Reynaldo; H: Theresa, Yuki; J: Reynaldo, Theresa
 D. F: Yuki, Seamus; G: Theresa, Reynaldo; H: Reynaldo, Theresa; J: Seamus, Yuki
 E. F: Yuki, Theresa; G: Seamus, Yuki; H: Theresa, Reynaldo; J: Reynaldo, Seamus
Answer:

Choices:
- A
- B
- C
- D
- E

On the first day of a two-day study for a cycling magazine, four riders—Reynaldo, Seamus, Theresa, and Yuki—will each test one of four bicycles—F, G, H, and J. Each rider will then test a different one of the bicycles on the second day. Each rider tests only one bicycle per day, and all four bicycles are tested each day. The assignment of riders to bicycles is subject to the following conditions: Reynaldo cannot test F. Yuki cannot test J. Theresa must be one of the testers for H. The bicycle that Yuki tests on the first day must be tested by Seamus on the second day.
Question: Which one of the following is a possible assignment of riders to bicycles, with the riders for each bicycle listed in the order in which they test the bicycle?
 A. F: Seamus, Reynaldo; G: Yuki, Seamus; H: Theresa, Yuki; J: Reynaldo, Theresa
 B. F: Seamus, Yuki; G: Reynaldo, Theresa; H: Yuki, Seamus; J: Theresa, Reynaldo
 C. F: Yuki, Seamus; G: Seamus, Reynaldo; H: Theresa, Yuki; J: Reynaldo, Theresa
 D. F: Yuki, Seamus; G: Theresa, Reynaldo; H: Reynaldo, Theresa; J: Seamus, Yuki
 E. F: Yuki, Theresa; G: Seamus, Yuki; H: Theresa, Reynaldo; J: Reynaldo, Seamus
Answer: C


Question:
At a concert, exactly eight compositions—F, H, L, O, P, R, S, and T—are to be performed exactly once each, consecutively and one composition at a time. The order of their performance must satisfy the following conditions: T is performed either immediately before F or immediately after R. At least two compositions are performed either after F and before R, or after R and before F. O is performed either first or fifth. The eighth composition performed is either L or H. P is performed at some time before S. At least one composition is performed either after O and before S, or after S and before O.
Question: If P is performed third and S is performed sixth, the composition performed fifth must be either
 A. F or H
 B. F or O
 C. F or T
 D. H or L
 E. O or R
Answer:

Choices:
- A
- B
- C
- D
- E

At a concert, exactly eight compositions—F, H, L, O, P, R, S, and T—are to be performed exactly once each, consecutively and one composition at a time. The order of their performance must satisfy the following conditions: T is performed either immediately before F or immediately after R. At least two compositions are performed either after F and before R, or after R and before F. O is performed either first or fifth. The eighth composition performed is either L or H. P is performed at some time before S. At least one composition is performed either after O and before S, or after S and before O.
Question: If P is performed third and S is performed sixth, the composition performed fifth must be either
 A. F or H
 B. F or O
 C. F or T
 D. H or L
 E. O or R
Answer: C


Question:
Exactly five witnesses—Franco, Garcia, Hong, Iturbe, and Jackson—are to be scheduled to testify at a hearing that is to take exactly three days of one week—Monday, Tuesday, and Wednesday. Each witness testifies on exactly one day of the hearing. The schedule must meet the following conditions: Franco does not testify on the same day that Garcia testifies. Iturbe testifies on Wednesday. Exactly two witnesses testify on Tuesday. Hong does not testify on Monday. At least one witness testifies on Monday.
Question: Which one of the following is an acceptable schedule of witnesses?
 A. Monday: Franco Tuesday: Hong and Iturbe Wednesday: Garcia and Jackson
 B. Monday: Franco and Hong Tuesday: Iturbe and Jackson Wednesday: Garcia
 C. Monday: Garcia Tuesday: Franco and Iturbe Wednesday: Hong and Jackson
 D. Monday: Garcia and Jackson Tuesday: Franco and Hong Wednesday: Iturbe
 E. Monday: Garcia and Jackson Tuesday: Hong Wednesday: Franco and Iturbe
Answer:

Choices:
- A
- B
- C
- D
- E

Exactly five witnesses—Franco, Garcia, Hong, Iturbe, and Jackson—are to be scheduled to testify at a hearing that is to take exactly three days of one week—Monday, Tuesday, and Wednesday. Each witness testifies on exactly one day of the hearing. The schedule must meet the following conditions: Franco does not testify on the same day that Garcia testifies. Iturbe testifies on Wednesday. Exactly two witnesses testify on Tuesday. Hong does not testify on Monday. At least one witness testifies on Monday.
Question: Which one of the following is an acceptable schedule of witnesses?
 A. Monday: Franco Tuesday: Hong and Iturbe Wednesday: Garcia and Jackson
 B. Monday: Franco and Hong Tuesday: Iturbe and Jackson Wednesday: Garcia
 C. Monday: Garcia Tuesday: Franco and Iturbe Wednesday: Hong and Jackson
 D. Monday: Garcia and Jackson Tuesday: Franco and Hong Wednesday: Iturbe
 E. Monday: Garcia and Jackson Tuesday: Hong Wednesday: Franco and Iturbe
Answer: D


Question:
A maintenance company that takes service requests from three clients—Image, Solide, and Truvest—plans to set targets for its average service response times. Service targets will be set at 3 days, 2 days, or 1 day. Two service targets are set for each client—one for requests received through the maintenance company's website and one for requests received by voicemail. The six targets are set according to the following conditions: None of the clients can have a website target that is longer than its voicemail target. Image's voicemail target must be shorter than the other clients' voicemail targets. Solide's website target must be shorter than Truvest's website target.
Question: If none of the clients has a voicemail target of 3 days, then each of the following must be true EXCEPT:
 A. Image's website target is 1 day.
 B. Solide's website target is 2 days.
 C. Solide's voicemail target is 2 days.
 D. Truvest's website target is 2 days.
 E. Truvest's voicemail target is 2 days.
Answer:

Choices:
- A
- B
- C
- D
- E

A maintenance company that takes service requests from three clients—Image, Solide, and Truvest—plans to set targets for its average service response times. Service targets will be set at 3 days, 2 days, or 1 day. Two service targets are set for each client—one for requests received through the maintenance company's website and one for requests received by voicemail. The six targets are set according to the following conditions: None of the clients can have a website target that is longer than its voicemail target. Image's voicemail target must be shorter than the other clients' voicemail targets. Solide's website target must be shorter than Truvest's website target.
Question: If none of the clients has a voicemail target of 3 days, then each of the following must be true EXCEPT:
 A. Image's website target is 1 day.
 B. Solide's website target is 2 days.
 C. Solide's voicemail target is 2 days.
 D. Truvest's website target is 2 days.
 E. Truvest's voicemail target is 2 days.
Answer: B


Question:
A panel of five scientists will be formed. The panelists will be selected from among three botanists—F, G, and H—three chemists—K, L, and M—and three zoologists—P, Q, and R. Selection is governed by the following conditions: The panel must include at least one scientist of each of the three types. If more than one botanist is selected, then at most one zoologist is selected. F and K cannot both be selected. K and M cannot both be selected. If M is selected, both P and R must be selected.
Question: If M is the only chemist selected for the panel, which one of the following must be true?
 A. F and G are both selected.
 B. G and H are both selected.
 C. H and P are both selected.
 D. F, G, and H are all selected.
 E. P, Q, and R are all selected.
Answer:

Choices:
- A
- B
- C
- D
- E

A panel of five scientists will be formed. The panelists will be selected from among three botanists—F, G, and H—three chemists—K, L, and M—and three zoologists—P, Q, and R. Selection is governed by the following conditions: The panel must include at least one scientist of each of the three types. If more than one botanist is selected, then at most one zoologist is selected. F and K cannot both be selected. K and M cannot both be selected. If M is selected, both P and R must be selected.
Question: If M is the only chemist selected for the panel, which one of the following must be true?
 A. F and G are both selected.
 B. G and H are both selected.
 C. H and P are both selected.
 D. F, G, and H are all selected.
 E. P, Q, and R are all selected.
Answer: E


Question:
At a concert, exactly eight compositions—F, H, L, O, P, R, S, and T—are to be performed exactly once each, consecutively and one composition at a time. The order of their performance must satisfy the following conditions: T is performed either immediately before F or immediately after R. At least two compositions are performed either after F and before R, or after R and before F. O is performed either first or fifth. The eighth composition performed is either L or H. P is performed at some time before S. At least one composition is performed either after O and before S, or after S and before O.
Question: Which one of the following lists the compositions in an order in which they could be performed during the concert, from first through eighth?
 A. L, P, S, R, O, T, F, H
 B. O, T, P, F, S, H, R, L
 C. P, T, F, S, L, R, O, H
 D. P, T, F, S, O, R, L, H
 E. T, F, P, R, O, L, S, H
Answer:

Choices:
- A
- B
- C
- D
- E

At a concert, exactly eight compositions—F, H, L, O, P, R, S, and T—are to be performed exactly once each, consecutively and one composition at a time. The order of their performance must satisfy the following conditions: T is performed either immediately before F or immediately after R. At least two compositions are performed either after F and before R, or after R and before F. O is performed either first or fifth. The eighth composition performed is either L or H. P is performed at some time before S. At least one composition is performed either after O and before S, or after S and before O.
Question: Which one of the following lists the compositions in an order in which they could be performed during the concert, from first through eighth?
 A. L, P, S, R, O, T, F, H
 B. O, T, P, F, S, H, R, L
 C. P, T, F, S, L, R, O, H
 D. P, T, F, S, O, R, L, H
 E. T, F, P, R, O, L, S, H
Answer: A


Question:
A loading dock consists of exactly six bays numbered 1 through 6 consecutively from one side of the dock to the other. Each bay is holding a different one of exactly six types of cargo—fuel, grain, livestock, machinery, produce, or textiles. The following apply: The bay holding grain has a higher number than the bay holding livestock. The bay holding livestock has a higher number than the bay holding textiles. The bay holding produce has a higher number than the bay holding fuel. The bay holding textiles is next to the bay holding produce.
Question: Which one of the following CANNOT be the type of cargo held in bay 4?
 A. grain
 B. livestock
 C. machinery
 D. produce
 E. textiles
Answer:

Choices:
- A
- B
- C
- D
- E

A loading dock consists of exactly six bays numbered 1 through 6 consecutively from one side of the dock to the other. Each bay is holding a different one of exactly six types of cargo—fuel, grain, livestock, machinery, produce, or textiles. The following apply: The bay holding grain has a higher number than the bay holding livestock. The bay holding livestock has a higher number than the bay holding textiles. The bay holding produce has a higher number than the bay holding fuel. The bay holding textiles is next to the bay holding produce.
Question: Which one of the following CANNOT be the type of cargo held in bay 4?
 A. grain
 B. livestock
 C. machinery
 D. produce
 E. textiles
Answer: A


Question:
During the weeklong grand opening of a new antique shop, the antique dealer will auction exactly one antique per day for six consecutive days—June 1st through June 6th. The antiques to be auctioned are: a harmonica, a lamp, a mirror, a sundial, a table, and a vase. The following conditions apply: The sundial is not auctioned on June 1st. If the harmonica is auctioned on an earlier date than the lamp, then the mirror is also auctioned on an earlier date than the lamp. The sundial is auctioned on an earlier date than the mirror and also on an earlier date than the vase. The table is auctioned on an earlier date than the harmonica or on an earlier date than the vase, but not both.
Question: Which one of the following could be true?
 A. The table is auctioned on June 2nd and the lamp is auctioned on June 3rd.
 B. The sundial is auctioned on June 2nd and the vase is auctioned on June 3rd.
 C. The mirror is auctioned on June 3rd and the sundial is auctioned on June 4th.
 D. The vase is auctioned on June 4th and the sundial is auctioned on June 5th.
 E. The sundial is auctioned on June 4th and the table is auctioned on June 5th.
Answer:

Choices:
- A
- B
- C
- D
- E

During the weeklong grand opening of a new antique shop, the antique dealer will auction exactly one antique per day for six consecutive days—June 1st through June 6th. The antiques to be auctioned are: a harmonica, a lamp, a mirror, a sundial, a table, and a vase. The following conditions apply: The sundial is not auctioned on June 1st. If the harmonica is auctioned on an earlier date than the lamp, then the mirror is also auctioned on an earlier date than the lamp. The sundial is auctioned on an earlier date than the mirror and also on an earlier date than the vase. The table is auctioned on an earlier date than the harmonica or on an earlier date than the vase, but not both.
Question: Which one of the following could be true?
 A. The table is auctioned on June 2nd and the lamp is auctioned on June 3rd.
 B. The sundial is auctioned on June 2nd and the vase is auctioned on June 3rd.
 C. The mirror is auctioned on June 3rd and the sundial is auctioned on June 4th.
 D. The vase is auctioned on June 4th and the sundial is auctioned on June 5th.
 E. The sundial is auctioned on June 4th and the table is auctioned on June 5th.
Answer: B


Question:
A government needs to assign new ambassadors to Venezuela, Yemen, and Zambia. The candidates for these ambassadorships are Jaramillo, Kayne, Landon, Novetzke, and Ong. One ambassador will be assigned to each country, and no ambassador will be assigned to more than one country. The assignment of the ambassadors must meet the following constraints: Either Kayne or Novetzke, but not both, is assigned to one of the ambassadorships. If Jaramillo is assigned to one of the ambassadorships, then so is Kayne. If Ong is assigned as ambassador to Venezuela, Kayne is not assigned as ambassador to Yemen. If Landon is assigned to an ambassadorship, it is to Zambia.
Question: The pair of candidates who are not assigned to ambassadorships could be
 A. Jaramillo and Novetzke
 B. Jaramillo and Ong
 C. Kayne and Landon
 D. Kayne and Novetzke
 E. Landon and Ong
Answer:

Choices:
- A
- B
- C
- D
- E

A government needs to assign new ambassadors to Venezuela, Yemen, and Zambia. The candidates for these ambassadorships are Jaramillo, Kayne, Landon, Novetzke, and Ong. One ambassador will be assigned to each country, and no ambassador will be assigned to more than one country. The assignment of the ambassadors must meet the following constraints: Either Kayne or Novetzke, but not both, is assigned to one of the ambassadorships. If Jaramillo is assigned to one of the ambassadorships, then so is Kayne. If Ong is assigned as ambassador to Venezuela, Kayne is not assigned as ambassador to Yemen. If Landon is assigned to an ambassadorship, it is to Zambia.
Question: The pair of candidates who are not assigned to ambassadorships could be
 A. Jaramillo and Novetzke
 B. Jaramillo and Ong
 C. Kayne and Landon
 D. Kayne and Novetzke
 E. Landon and Ong
Answer: A


Question:
At an upcoming exhibition, four art students—Franz, Greene, Hidalgo, and Isaacs—will each display exactly two paintings—an oil and a watercolor. Exactly two paintings will be displayed on each of the walls of the exhibition room—walls 1, 2, 3, and 4—with one painting in the upper position and one in the lower position. The following conditions will apply: No wall has only watercolors displayed on it. No wall has the work of only one student displayed on it. No wall has both a painting by Franz and a painting by Isaacs displayed on it. Greene's watercolor is displayed in the upper position of the wall on which Franz's oil is displayed. Isaacs's oil is displayed in the lower position of wall 4.
Question: If Hidalgo's oil is displayed on wall 2, which one of the following could also be displayed on wall 2?
 A. Franz's oil
 B. Greene's watercolor
 C. Greene's oil
 D. Hidalgo's watercolor
 E. Isaacs's watercolor
Answer:

Choices:
- A
- B
- C
- D
- E

At an upcoming exhibition, four art students—Franz, Greene, Hidalgo, and Isaacs—will each display exactly two paintings—an oil and a watercolor. Exactly two paintings will be displayed on each of the walls of the exhibition room—walls 1, 2, 3, and 4—with one painting in the upper position and one in the lower position. The following conditions will apply: No wall has only watercolors displayed on it. No wall has the work of only one student displayed on it. No wall has both a painting by Franz and a painting by Isaacs displayed on it. Greene's watercolor is displayed in the upper position of the wall on which Franz's oil is displayed. Isaacs's oil is displayed in the lower position of wall 4.
Question: If Hidalgo's oil is displayed on wall 2, which one of the following could also be displayed on wall 2?
 A. Franz's oil
 B. Greene's watercolor
 C. Greene's oil
 D. Hidalgo's watercolor
 E. Isaacs's watercolor
Answer: E


Question:
Three real estate companies—RealProp, Southco, and Trustcorp—are considering trading buildings with one another. Each building they own is categorized as either class 1, class 2, or class 3, depending on its approximate value: RealProp owns the Garza Tower (class 1), the Yates House (class 3), and the Zimmer House (class 3). Southco owns the Flores Tower (class 1) and the Lynch Building (class 2). Trustcorp owns the King Building, the Meyer Building, and the Ortiz Building, all of which are class 2. Each trade must be of exactly one of the following three kinds: Trading one building for one other building of the same class Trading one class 1 building for two class 2 buildings Trading one class 2 building for two class 3 buildings
Question: Which one of the following CANNOT be true, no matter how many trades are made?
 A. The buildings owned by RealProp are the Flores Tower and the Garza Tower.
 B. The buildings owned by Southco are the Flores Tower and the Meyer Building.
 C. The buildings owned by Southco are the Garza Tower and the Lynch Building.
 D. The buildings owned by Trustcorp are the Flores Tower and the Ortiz Building.
 E. The buildings owned by Trustcorp are the Garza Tower and the Meyer Building.
Answer:

Choices:
- A
- B
- C
- D
- E

Three real estate companies—RealProp, Southco, and Trustcorp—are considering trading buildings with one another. Each building they own is categorized as either class 1, class 2, or class 3, depending on its approximate value: RealProp owns the Garza Tower (class 1), the Yates House (class 3), and the Zimmer House (class 3). Southco owns the Flores Tower (class 1) and the Lynch Building (class 2). Trustcorp owns the King Building, the Meyer Building, and the Ortiz Building, all of which are class 2. Each trade must be of exactly one of the following three kinds: Trading one building for one other building of the same class Trading one class 1 building for two class 2 buildings Trading one class 2 building for two class 3 buildings
Question: Which one of the following CANNOT be true, no matter how many trades are made?
 A. The buildings owned by RealProp are the Flores Tower and the Garza Tower.
 B. The buildings owned by Southco are the Flores Tower and the Meyer Building.
 C. The buildings owned by Southco are the Garza Tower and the Lynch Building.
 D. The buildings owned by Trustcorp are the Flores Tower and the Ortiz Building.
 E. The buildings owned by Trustcorp are the Garza Tower and the Meyer Building.
Answer: A


Question:
A maintenance company that takes service requests from three clients—Image, Solide, and Truvest—plans to set targets for its average service response times. Service targets will be set at 3 days, 2 days, or 1 day. Two service targets are set for each client—one for requests received through the maintenance company's website and one for requests received by voicemail. The six targets are set according to the following conditions: None of the clients can have a website target that is longer than its voicemail target. Image's voicemail target must be shorter than the other clients' voicemail targets. Solide's website target must be shorter than Truvest's website target.
Question: If Solide's voicemail target is shorter than Truvest's website target, which one of the following targets could be 2 days?
 A. Image's website target
 B. Image's voicemail target
 C. Solide's website target
 D. Truvest's voicemail target
 E. Truvest's website target
Answer:

Choices:
- A
- B
- C
- D
- E

A maintenance company that takes service requests from three clients—Image, Solide, and Truvest—plans to set targets for its average service response times. Service targets will be set at 3 days, 2 days, or 1 day. Two service targets are set for each client—one for requests received through the maintenance company's website and one for requests received by voicemail. The six targets are set according to the following conditions: None of the clients can have a website target that is longer than its voicemail target. Image's voicemail target must be shorter than the other clients' voicemail targets. Solide's website target must be shorter than Truvest's website target.
Question: If Solide's voicemail target is shorter than Truvest's website target, which one of the following targets could be 2 days?
 A. Image's website target
 B. Image's voicemail target
 C. Solide's website target
 D. Truvest's voicemail target
 E. Truvest's website target
Answer: C


Question:
At a concert, exactly eight compositions—F, H, L, O, P, R, S, and T—are to be performed exactly once each, consecutively and one composition at a time. The order of their performance must satisfy the following conditions: T is performed either immediately before F or immediately after R. At least two compositions are performed either after F and before R, or after R and before F. O is performed either first or fifth. The eighth composition performed is either L or H. P is performed at some time before S. At least one composition is performed either after O and before S, or after S and before O.
Question: P CANNOT be performed
 A. second
 B. third
 C. fourth
 D. sixth
 E. seventh
Answer:

Choices:
- A
- B
- C
- D
- E

At a concert, exactly eight compositions—F, H, L, O, P, R, S, and T—are to be performed exactly once each, consecutively and one composition at a time. The order of their performance must satisfy the following conditions: T is performed either immediately before F or immediately after R. At least two compositions are performed either after F and before R, or after R and before F. O is performed either first or fifth. The eighth composition performed is either L or H. P is performed at some time before S. At least one composition is performed either after O and before S, or after S and before O.
Question: P CANNOT be performed
 A. second
 B. third
 C. fourth
 D. sixth
 E. seventh
Answer: E


Question:
The manager of a photography business must assign at least two photographers to each of two graduation ceremonies—one at Silva University and the other at Thorne University. Exactly six photographers are available—Frost, Gonzalez, Heideck, Knutson, Lai, and Mays—but not all have to be assigned. No photographer can be assigned to both ceremonies. The following constraints apply: Frost must be assigned together with Heideck to one of the graduation ceremonies. If Lai and Mays are both assigned, it must be to different ceremonies. If Gonzalez is assigned to the Silva University ceremony, then Lai must be assigned to the Thorne University ceremony. If Knutson is not assigned to the Thorne University ceremony, then both Heideck and Mays must be assigned to it.
Question: Which one of the following could be the complete assignment of photographers to the Silva University ceremony?
 A. Frost, Gonzalez, Heideck, Knutson
 B. Frost, Gonzalez, Heideck
 C. Gonzalez, Knutson
 D. Heideck, Lai
 E. Knutson, Mays
Answer:

Choices:
- A
- B
- C
- D
- E

The manager of a photography business must assign at least two photographers to each of two graduation ceremonies—one at Silva University and the other at Thorne University. Exactly six photographers are available—Frost, Gonzalez, Heideck, Knutson, Lai, and Mays—but not all have to be assigned. No photographer can be assigned to both ceremonies. The following constraints apply: Frost must be assigned together with Heideck to one of the graduation ceremonies. If Lai and Mays are both assigned, it must be to different ceremonies. If Gonzalez is assigned to the Silva University ceremony, then Lai must be assigned to the Thorne University ceremony. If Knutson is not assigned to the Thorne University ceremony, then both Heideck and Mays must be assigned to it.
Question: Which one of the following could be the complete assignment of photographers to the Silva University ceremony?
 A. Frost, Gonzalez, Heideck, Knutson
 B. Frost, Gonzalez, Heideck
 C. Gonzalez, Knutson
 D. Heideck, Lai
 E. Knutson, Mays
Answer: B


Question:
The organizer of a reading club will select at least five and at most six works from a group of nine works. The group consists of three French novels, three Russian novels, two French plays, and one Russian play. The organizer's selection of works must conform to the following requirements: No more than four French works are selected. At least three but no more than four novels are selected. At least as many French novels as Russian novels are selected. If both French plays are selected, then the Russian play is not selected.
Question: Which one of the following could be true about the organizer's selection of works?
 A. No Russian novels are selected.
 B. Exactly one French novel is selected.
 C. All three plays are selected.
 D. All three Russian novels are selected.
 E. All five French works are selected.
Answer:

Choices:
- A
- B
- C
- D
- E

The organizer of a reading club will select at least five and at most six works from a group of nine works. The group consists of three French novels, three Russian novels, two French plays, and one Russian play. The organizer's selection of works must conform to the following requirements: No more than four French works are selected. At least three but no more than four novels are selected. At least as many French novels as Russian novels are selected. If both French plays are selected, then the Russian play is not selected.
Question: Which one of the following could be true about the organizer's selection of works?
 A. No Russian novels are selected.
 B. Exactly one French novel is selected.
 C. All three plays are selected.
 D. All three Russian novels are selected.
 E. All five French works are selected.
Answer: A


Question:
A concert is given by a six-member band—guitarist, keyboard player, percussionist, saxophonist, trumpeter, violinist. During the concert, each member performs exactly one solo. The following restrictions apply: The guitarist does not perform the fourth solo. The percussionist performs a solo at some time before the keyboard player does. The keyboard player performs a solo at some time after the violinist does and at some time before the guitarist does. The saxophonist performs a solo at some time after either the percussionist does or the trumpeter does, but not both.
Question: Which one of the following CANNOT perform the third
 A. guitarist
 B. keyboard player
 C. saxophonist
 D. trumpeter
 E. violinist
Answer:

Choices:
- A
- B
- C
- D
- E

A concert is given by a six-member band—guitarist, keyboard player, percussionist, saxophonist, trumpeter, violinist. During the concert, each member performs exactly one solo. The following restrictions apply: The guitarist does not perform the fourth solo. The percussionist performs a solo at some time before the keyboard player does. The keyboard player performs a solo at some time after the violinist does and at some time before the guitarist does. The saxophonist performs a solo at some time after either the percussionist does or the trumpeter does, but not both.
Question: Which one of the following CANNOT perform the third
 A. guitarist
 B. keyboard player
 C. saxophonist
 D. trumpeter
 E. violinist
Answer: A


Question:
Exactly five movies are showing at the repertory theater this evening: a horror film, a mystery, a romance, a sci-fi film, and a western. Each movie is shown exactly once, on one of the theater's three screens: screens 1, 2, and 3. Screens 1 and 2 show two movies each, one beginning at 7 P.M. and the other at 9 P.M.; screen 3 shows exactly one movie, at 8 P.M. The following conditions apply to this evening's schedule: The western begins at some time before the horror film does. The sci-fi film is not shown on screen 3. The romance is not shown on screen 2. The horror film and the mystery are shown on different screens.
Question: If the romance is scheduled to begin before the western does, then which one of the following must be true of this evening's schedule?
 A. The horror film is shown on screen 1.
 B. The mystery begins at 7 P.M.
 C. The mystery is shown on screen 2.
 D. The sci-fi film begins at 9 P.M.
 E. The sci-fi film is shown on screen 2.
Answer:

Choices:
- A
- B
- C
- D
- E

Exactly five movies are showing at the repertory theater this evening: a horror film, a mystery, a romance, a sci-fi film, and a western. Each movie is shown exactly once, on one of the theater's three screens: screens 1, 2, and 3. Screens 1 and 2 show two movies each, one beginning at 7 P.M. and the other at 9 P.M.; screen 3 shows exactly one movie, at 8 P.M. The following conditions apply to this evening's schedule: The western begins at some time before the horror film does. The sci-fi film is not shown on screen 3. The romance is not shown on screen 2. The horror film and the mystery are shown on different screens.
Question: If the romance is scheduled to begin before the western does, then which one of the following must be true of this evening's schedule?
 A. The horror film is shown on screen 1.
 B. The mystery begins at 7 P.M.
 C. The mystery is shown on screen 2.
 D. The sci-fi film begins at 9 P.M.
 E. The sci-fi film is shown on screen 2.
Answer: E


Question:
At a concert, exactly eight compositions—F, H, L, O, P, R, S, and T—are to be performed exactly once each, consecutively and one composition at a time. The order of their performance must satisfy the following conditions: T is performed either immediately before F or immediately after R. At least two compositions are performed either after F and before R, or after R and before F. O is performed either first or fifth. The eighth composition performed is either L or H. P is performed at some time before S. At least one composition is performed either after O and before S, or after S and before O.
Question: If exactly two compositions are performed after F but before O, then R must be performed
 A. first
 B. third
 C. fourth
 D. sixth
 E. seventh
Answer:

Choices:
- A
- B
- C
- D
- E

At a concert, exactly eight compositions—F, H, L, O, P, R, S, and T—are to be performed exactly once each, consecutively and one composition at a time. The order of their performance must satisfy the following conditions: T is performed either immediately before F or immediately after R. At least two compositions are performed either after F and before R, or after R and before F. O is performed either first or fifth. The eighth composition performed is either L or H. P is performed at some time before S. At least one composition is performed either after O and before S, or after S and before O.
Question: If exactly two compositions are performed after F but before O, then R must be performed
 A. first
 B. third
 C. fourth
 D. sixth
 E. seventh
Answer: D


Question:
During the weeklong grand opening of a new antique shop, the antique dealer will auction exactly one antique per day for six consecutive days—June 1st through June 6th. The antiques to be auctioned are: a harmonica, a lamp, a mirror, a sundial, a table, and a vase. The following conditions apply: The sundial is not auctioned on June 1st. If the harmonica is auctioned on an earlier date than the lamp, then the mirror is also auctioned on an earlier date than the lamp. The sundial is auctioned on an earlier date than the mirror and also on an earlier date than the vase. The table is auctioned on an earlier date than the harmonica or on an earlier date than the vase, but not both.
Question: Which one of the following could be true?
 A. The mirror is auctioned on June 2nd.
 B. The lamp is auctioned on June 2nd.
 C. The vase is auctioned on. June 2nd.
 D. The lamp is auctioned on June 3rd.
 E. The mirror is auctioned on June 5th.
Answer:

Choices:
- A
- B
- C
- D
- E

During the weeklong grand opening of a new antique shop, the antique dealer will auction exactly one antique per day for six consecutive days—June 1st through June 6th. The antiques to be auctioned are: a harmonica, a lamp, a mirror, a sundial, a table, and a vase. The following conditions apply: The sundial is not auctioned on June 1st. If the harmonica is auctioned on an earlier date than the lamp, then the mirror is also auctioned on an earlier date than the lamp. The sundial is auctioned on an earlier date than the mirror and also on an earlier date than the vase. The table is auctioned on an earlier date than the harmonica or on an earlier date than the vase, but not both.
Question: Which one of the following could be true?
 A. The mirror is auctioned on June 2nd.
 B. The lamp is auctioned on June 2nd.
 C. The vase is auctioned on. June 2nd.
 D. The lamp is auctioned on June 3rd.
 E. The mirror is auctioned on June 5th.
Answer: E


Question:
An administrator must assign parking spaces to six new employees: Robertson, Souza, Togowa, Vaughn, Xu, and Young. Each of the six employees must be assigned one of the following parking spaces: #1, #2, #3, #4, #5, or #6. No two employees can be assigned the same parking space. The following rules govern the assignment of parking spaces: Young must be assigned a higher-numbered parking space than Togowa. Xu must be assigned a higher-numbered parking space than Souza. Robertson must be assigned a higher-numbered parking space than Young. Robertson must be assigned parking space #1, #2, #3, or #4.
Question: The assignment of parking spaces to each of the new employees is fully and uniquely determined if which one of the following is true?
 A. Souza is assigned parking space #1.
 B. Young is assigned parking space #2.
 C. Vaughn is assigned parking space #3.
 D. Robertson is assigned parking space #4.
 E. Xu is assigned parking space #5.
Answer:

Choices:
- A
- B
- C
- D
- E

An administrator must assign parking spaces to six new employees: Robertson, Souza, Togowa, Vaughn, Xu, and Young. Each of the six employees must be assigned one of the following parking spaces: #1, #2, #3, #4, #5, or #6. No two employees can be assigned the same parking space. The following rules govern the assignment of parking spaces: Young must be assigned a higher-numbered parking space than Togowa. Xu must be assigned a higher-numbered parking space than Souza. Robertson must be assigned a higher-numbered parking space than Young. Robertson must be assigned parking space #1, #2, #3, or #4.
Question: The assignment of parking spaces to each of the new employees is fully and uniquely determined if which one of the following is true?
 A. Souza is assigned parking space #1.
 B. Young is assigned parking space #2.
 C. Vaughn is assigned parking space #3.
 D. Robertson is assigned parking space #4.
 E. Xu is assigned parking space #5.
Answer: C


Question:
During the weeklong grand opening of a new antique shop, the antique dealer will auction exactly one antique per day for six consecutive days—June 1st through June 6th. The antiques to be auctioned are: a harmonica, a lamp, a mirror, a sundial, a table, and a vase. The following conditions apply: The sundial is not auctioned on June 1st. If the harmonica is auctioned on an earlier date than the lamp, then the mirror is also auctioned on an earlier date than the lamp. The sundial is auctioned on an earlier date than the mirror and also on an earlier date than the vase. The table is auctioned on an earlier date than the harmonica or on an earlier date than the vase, but not both.
Question: If the table is auctioned on a date that is later than both the date on which the mirror is auctioned and the date on which the vase is auctioned, then which one of the following could be true?
 A. The harmonica is auctioned on an earlier date than the table.
 B. The table is auctioned on an earlier date than the lamp.
 C. The table is auctioned on an earlier date than the sundial.
 D. The mirror is auctioned on an earlier date than the vase.
 E. The sundial is auctioned on an earlier date than the lamp.
Answer:

Choices:
- A
- B
- C
- D
- E

During the weeklong grand opening of a new antique shop, the antique dealer will auction exactly one antique per day for six consecutive days—June 1st through June 6th. The antiques to be auctioned are: a harmonica, a lamp, a mirror, a sundial, a table, and a vase. The following conditions apply: The sundial is not auctioned on June 1st. If the harmonica is auctioned on an earlier date than the lamp, then the mirror is also auctioned on an earlier date than the lamp. The sundial is auctioned on an earlier date than the mirror and also on an earlier date than the vase. The table is auctioned on an earlier date than the harmonica or on an earlier date than the vase, but not both.
Question: If the table is auctioned on a date that is later than both the date on which the mirror is auctioned and the date on which the vase is auctioned, then which one of the following could be true?
 A. The harmonica is auctioned on an earlier date than the table.
 B. The table is auctioned on an earlier date than the lamp.
 C. The table is auctioned on an earlier date than the sundial.
 D. The mirror is auctioned on an earlier date than the vase.
 E. The sundial is auctioned on an earlier date than the lamp.
Answer: D


Question:
An administrator must assign parking spaces to six new employees: Robertson, Souza, Togowa, Vaughn, Xu, and Young. Each of the six employees must be assigned one of the following parking spaces: #1, #2, #3, #4, #5, or #6. No two employees can be assigned the same parking space. The following rules govern the assignment of parking spaces: Young must be assigned a higher-numbered parking space than Togowa. Xu must be assigned a higher-numbered parking space than Souza. Robertson must be assigned a higher-numbered parking space than Young. Robertson must be assigned parking space #1, #2, #3, or #4.
Question: If Togowa is assigned a higher-numbered parking space than Souza, then which one of the following could be true?
 A. Young is assigned parking space #2.
 B. Vaughn is assigned parking space #5.
 C. Togowa is assigned parking space #3.
 D. Souza is assigned parking space #2.
 E. Robertson is assigned parking space #3.
Answer:

Choices:
- A
- B
- C
- D
- E

An administrator must assign parking spaces to six new employees: Robertson, Souza, Togowa, Vaughn, Xu, and Young. Each of the six employees must be assigned one of the following parking spaces: #1, #2, #3, #4, #5, or #6. No two employees can be assigned the same parking space. The following rules govern the assignment of parking spaces: Young must be assigned a higher-numbered parking space than Togowa. Xu must be assigned a higher-numbered parking space than Souza. Robertson must be assigned a higher-numbered parking space than Young. Robertson must be assigned parking space #1, #2, #3, or #4.
Question: If Togowa is assigned a higher-numbered parking space than Souza, then which one of the following could be true?
 A. Young is assigned parking space #2.
 B. Vaughn is assigned parking space #5.
 C. Togowa is assigned parking space #3.
 D. Souza is assigned parking space #2.
 E. Robertson is assigned parking space #3.
Answer: B


Question:
The organizer of a reading club will select at least five and at most six works from a group of nine works. The group consists of three French novels, three Russian novels, two French plays, and one Russian play. The organizer's selection of works must conform to the following requirements: No more than four French works are selected. At least three but no more than four novels are selected. At least as many French novels as Russian novels are selected. If both French plays are selected, then the Russian play is not selected.
Question: Which one of the following could be the organizer's selection of works?
 A. one French novel, two Russian novels, one French play, one Russian play
 B. two French novels, one Russian novel, two French plays, one Russian play
 C. two French novels, two Russian novels, two French plays
 D. three French novels, one Russian novel, two French plays
 E. three French novels, two Russian novels, one Russian play
Answer:

Choices:
- A
- B
- C
- D
- E

The organizer of a reading club will select at least five and at most six works from a group of nine works. The group consists of three French novels, three Russian novels, two French plays, and one Russian play. The organizer's selection of works must conform to the following requirements: No more than four French works are selected. At least three but no more than four novels are selected. At least as many French novels as Russian novels are selected. If both French plays are selected, then the Russian play is not selected.
Question: Which one of the following could be the organizer's selection of works?
 A. one French novel, two Russian novels, one French play, one Russian play
 B. two French novels, one Russian novel, two French plays, one Russian play
 C. two French novels, two Russian novels, two French plays
 D. three French novels, one Russian novel, two French plays
 E. three French novels, two Russian novels, one Russian play
Answer: C


Question:
A publisher is planning to publish six cookbooks—K, L, M, N, O, and P—over the course of the next year. Each cookbook will be published in one of two seasons—fall or spring—subject to the following conditions: M and P cannot be published in the same season as each other. K and N must be published in the same season as each other. If K is published in the fall, O must also be published in the fall. If M is published in the fall, N must be published in the spring
Question: If N is published in the fall, which one of the following could be true
 A. K is published in the spring.
 B. L is published in the fall.
 C. M is published in the fall.
 D. 0 is published in the spring.
 E. P is published in the spring.
Answer:

Choices:
- A
- B
- C
- D
- E

A publisher is planning to publish six cookbooks—K, L, M, N, O, and P—over the course of the next year. Each cookbook will be published in one of two seasons—fall or spring—subject to the following conditions: M and P cannot be published in the same season as each other. K and N must be published in the same season as each other. If K is published in the fall, O must also be published in the fall. If M is published in the fall, N must be published in the spring
Question: If N is published in the fall, which one of the following could be true
 A. K is published in the spring.
 B. L is published in the fall.
 C. M is published in the fall.
 D. 0 is published in the spring.
 E. P is published in the spring.
Answer: B


Question:
A government needs to assign new ambassadors to Venezuela, Yemen, and Zambia. The candidates for these ambassadorships are Jaramillo, Kayne, Landon, Novetzke, and Ong. One ambassador will be assigned to each country, and no ambassador will be assigned to more than one country. The assignment of the ambassadors must meet the following constraints: Either Kayne or Novetzke, but not both, is assigned to one of the ambassadorships. If Jaramillo is assigned to one of the ambassadorships, then so is Kayne. If Ong is assigned as ambassador to Venezuela, Kayne is not assigned as ambassador to Yemen. If Landon is assigned to an ambassadorship, it is to Zambia.
Question: Which one of the following, if substituted for the constraint that if Jaramillo is assigned to one of the ambassadorships, then so is Kayne, would have the same effect in determining the assignment of the ambassadors?
 A. If Kayne is assigned to an ambassadorship, then so is Jaramillo.
 B. If Landon and Ong are both assigned to ambassadorships, then so is Novetzke.
 C. If Ong is not assigned to an ambassadorship, then Kayne is assigned to an ambassadorship.
 D. Jaramillo and Novetzke are not both assigned to ambassadorships.
 E. Novetzke and Ong are not both assigned to ambassadorships.
Answer:

Choices:
- A
- B
- C
- D
- E

A government needs to assign new ambassadors to Venezuela, Yemen, and Zambia. The candidates for these ambassadorships are Jaramillo, Kayne, Landon, Novetzke, and Ong. One ambassador will be assigned to each country, and no ambassador will be assigned to more than one country. The assignment of the ambassadors must meet the following constraints: Either Kayne or Novetzke, but not both, is assigned to one of the ambassadorships. If Jaramillo is assigned to one of the ambassadorships, then so is Kayne. If Ong is assigned as ambassador to Venezuela, Kayne is not assigned as ambassador to Yemen. If Landon is assigned to an ambassadorship, it is to Zambia.
Question: Which one of the following, if substituted for the constraint that if Jaramillo is assigned to one of the ambassadorships, then so is Kayne, would have the same effect in determining the assignment of the ambassadors?
 A. If Kayne is assigned to an ambassadorship, then so is Jaramillo.
 B. If Landon and Ong are both assigned to ambassadorships, then so is Novetzke.
 C. If Ong is not assigned to an ambassadorship, then Kayne is assigned to an ambassadorship.
 D. Jaramillo and Novetzke are not both assigned to ambassadorships.
 E. Novetzke and Ong are not both assigned to ambassadorships.
Answer: D


Question:
A detective is trying to determine the order in which a criminal recruited seven accomplices—Peters, Quinn, Rovero, Stanton, Tao, Villas, and White. In addition to discovering that the suspect recruited the accomplices one at a time, the detective has established the following: Stanton was recruited neither immediately before nor immediately after Tao. Quinn was recruited earlier than Rovero. Villas was recruited immediately before White. Peters was recruited fourth.
Question: If Tao was recruited second, which one of the following could be true?
 A. Quinn was recruited third.
 B. Rovero was recruited fifth.
 C. Stanton was recruited sixth.
 D. Villas was recruited sixth.
 E. White was recruited third.
Answer:

Choices:
- A
- B
- C
- D
- E

A detective is trying to determine the order in which a criminal recruited seven accomplices—Peters, Quinn, Rovero, Stanton, Tao, Villas, and White. In addition to discovering that the suspect recruited the accomplices one at a time, the detective has established the following: Stanton was recruited neither immediately before nor immediately after Tao. Quinn was recruited earlier than Rovero. Villas was recruited immediately before White. Peters was recruited fourth.
Question: If Tao was recruited second, which one of the following could be true?
 A. Quinn was recruited third.
 B. Rovero was recruited fifth.
 C. Stanton was recruited sixth.
 D. Villas was recruited sixth.
 E. White was recruited third.
Answer: D


Question:
Exactly five witnesses—Franco, Garcia, Hong, Iturbe, and Jackson—are to be scheduled to testify at a hearing that is to take exactly three days of one week—Monday, Tuesday, and Wednesday. Each witness testifies on exactly one day of the hearing. The schedule must meet the following conditions: Franco does not testify on the same day that Garcia testifies. Iturbe testifies on Wednesday. Exactly two witnesses testify on Tuesday. Hong does not testify on Monday. At least one witness testifies on Monday.
Question: If Franco is scheduled to testify on the same day as Hong, which one of the following must be true of the schedule?
 A. Franco is scheduled to testify on Wednesday.
 B. Garcia is scheduled to testify on Monday.
 C. Garcia is scheduled to testify on Wednesday.
 D. Hong is scheduled to testify on Tuesday.
 E. Iturbe is the only witness scheduled to testify on Wednesday.
Answer:

Choices:
- A
- B
- C
- D
- E

Exactly five witnesses—Franco, Garcia, Hong, Iturbe, and Jackson—are to be scheduled to testify at a hearing that is to take exactly three days of one week—Monday, Tuesday, and Wednesday. Each witness testifies on exactly one day of the hearing. The schedule must meet the following conditions: Franco does not testify on the same day that Garcia testifies. Iturbe testifies on Wednesday. Exactly two witnesses testify on Tuesday. Hong does not testify on Monday. At least one witness testifies on Monday.
Question: If Franco is scheduled to testify on the same day as Hong, which one of the following must be true of the schedule?
 A. Franco is scheduled to testify on Wednesday.
 B. Garcia is scheduled to testify on Monday.
 C. Garcia is scheduled to testify on Wednesday.
 D. Hong is scheduled to testify on Tuesday.
 E. Iturbe is the only witness scheduled to testify on Wednesday.
Answer: D


Question:
A concert promoter is filling the six slots at a benefit concert. The slots, from earliest to latest, are numbered slot one through slot six. The slots will be filled by six bands—Uneasy, Vegemite, Wellspring, Xpert, Yardsign, and Zircon. Each band will perform in just one slot. The order must meet the following constraints: Vegemite performs in an earlier slot than Zircon. Wellspring and Zircon each perform in an earlier slot than Xpert. Uneasy performs in one of the last three slots. Yardsign performs in one of the first three slots.
Question: If Veqemite performs in slot three, which one of the following must be true?
 A. Uneasy performs in an earlier slot than Xpert.
 B. Wellspring performs in an earlier slot than zircon
 C. Xpert performs in an earlier slot than Uneasy
 D. Yardsign performs in an earlier slot than, wellspring
 E. Zircon performs in an earlier slot than Uneasy.
Answer:

Choices:
- A
- B
- C
- D
- E

A concert promoter is filling the six slots at a benefit concert. The slots, from earliest to latest, are numbered slot one through slot six. The slots will be filled by six bands—Uneasy, Vegemite, Wellspring, Xpert, Yardsign, and Zircon. Each band will perform in just one slot. The order must meet the following constraints: Vegemite performs in an earlier slot than Zircon. Wellspring and Zircon each perform in an earlier slot than Xpert. Uneasy performs in one of the last three slots. Yardsign performs in one of the first three slots.
Question: If Veqemite performs in slot three, which one of the following must be true?
 A. Uneasy performs in an earlier slot than Xpert.
 B. Wellspring performs in an earlier slot than zircon
 C. Xpert performs in an earlier slot than Uneasy
 D. Yardsign performs in an earlier slot than, wellspring
 E. Zircon performs in an earlier slot than Uneasy.
Answer: B


Question:
During a recital, two pianists—Wayne and Zara—will perform solos. There will be five solos altogether, performed one immediately after another. Each solo will be either a modern piece or a traditional piece. The choice of pianist and type of piece for the solos must conform to the following conditions: The third solo is a traditional piece. Exactly two of the traditional pieces are performed consecutively. In the fourth solo, either Wayne performs a traditional piece or Zara performs a modern piece. The pianist who performs the second solo does not perform the fifth solo. No traditional piece is performed until Wayne performs at least one modem piece.
Question: If the fifth solo is a traditional piece, then for exactly determined?
 A. one
 B. two
 C. three
 D. four
 E. five
Answer:

Choices:
- A
- B
- C
- D
- E

During a recital, two pianists—Wayne and Zara—will perform solos. There will be five solos altogether, performed one immediately after another. Each solo will be either a modern piece or a traditional piece. The choice of pianist and type of piece for the solos must conform to the following conditions: The third solo is a traditional piece. Exactly two of the traditional pieces are performed consecutively. In the fourth solo, either Wayne performs a traditional piece or Zara performs a modern piece. The pianist who performs the second solo does not perform the fifth solo. No traditional piece is performed until Wayne performs at least one modem piece.
Question: If the fifth solo is a traditional piece, then for exactly determined?
 A. one
 B. two
 C. three
 D. four
 E. five
Answer: B


Question:
A naturalist will give five lectures, each on a different type of bird: oystercatchers, petrels, rails, sandpipers, or terns. The lectures must be given in either Gladwyn Hall or Howard Auditorium, in an order that meets the following conditions: The first lecture is in Gladwyn Hall. The fourth lecture is in Howard Auditorium. Exactly three of the lectures are in Gladwyn Hall. The lecture on sandpipers is in Howard Auditorium and is given earlier than the lecture on oystercatchers. The lecture on terns is given earlier than the lecture on petrels, which is in Gladwyn Hall.
Question: Which one of the following is an acceptable order for the lectures, from first to fifth?
 A. oystercatchers, petrels, rails, sandpipers, terns
 B. petrels, sandpipers, oystercatchers, terns, rails
 C. rails, sandpipers, terns, petrels, oystercatchers
 D. sandpipers, terns, oystercatchers, rails, petrels
 E. terns, petrels, sandpipers, oystercatchers, rails
Answer:

Choices:
- A
- B
- C
- D
- E

A naturalist will give five lectures, each on a different type of bird: oystercatchers, petrels, rails, sandpipers, or terns. The lectures must be given in either Gladwyn Hall or Howard Auditorium, in an order that meets the following conditions: The first lecture is in Gladwyn Hall. The fourth lecture is in Howard Auditorium. Exactly three of the lectures are in Gladwyn Hall. The lecture on sandpipers is in Howard Auditorium and is given earlier than the lecture on oystercatchers. The lecture on terns is given earlier than the lecture on petrels, which is in Gladwyn Hall.
Question: Which one of the following is an acceptable order for the lectures, from first to fifth?
 A. oystercatchers, petrels, rails, sandpipers, terns
 B. petrels, sandpipers, oystercatchers, terns, rails
 C. rails, sandpipers, terns, petrels, oystercatchers
 D. sandpipers, terns, oystercatchers, rails, petrels
 E. terns, petrels, sandpipers, oystercatchers, rails
Answer: E


Question:
A chorus director is planning to audition exactly six singers: Kammer, Lugo, Trillo, Waite, Yoshida, and Zinn. Kammer's audition and Lugo's audition will be recorded; the other four will not be. The six auditions are to take place one after the other on a single day, in accordance with the following conditions: The fourth audition cannot be recorded. The fifth audition must be recorded. Waite's audition must take place earlier than the two recorded auditions. Kammer's audition must take place earlier than Trillo's audition. Zinn's audition must take place earlier than Yoshida's audition.
Question: If Kammer's audition is immediately before Yoshida's, which one of the following could be true?
 A. Kammer's audition is second.
 B. Trillo's audition is fourth.
 C. Waite's audition is third.
 D. Yoshida's audition is sixth.
 E. Zinn's audition is second.
Answer:

Choices:
- A
- B
- C
- D
- E

A chorus director is planning to audition exactly six singers: Kammer, Lugo, Trillo, Waite, Yoshida, and Zinn. Kammer's audition and Lugo's audition will be recorded; the other four will not be. The six auditions are to take place one after the other on a single day, in accordance with the following conditions: The fourth audition cannot be recorded. The fifth audition must be recorded. Waite's audition must take place earlier than the two recorded auditions. Kammer's audition must take place earlier than Trillo's audition. Zinn's audition must take place earlier than Yoshida's audition.
Question: If Kammer's audition is immediately before Yoshida's, which one of the following could be true?
 A. Kammer's audition is second.
 B. Trillo's audition is fourth.
 C. Waite's audition is third.
 D. Yoshida's audition is sixth.
 E. Zinn's audition is second.
Answer: E


Question:
Three rugs will be woven out of colored thread. Six colors of thread are available—forest, olive, peach, turquoise, white, and yellow—exactly five of which will be used to weave the rugs. Each color that is used will be used in only one of the rugs. The rugs are either solid—woven in a single color—or multicolored. The rugs must be woven according to the following rules: In any rug in which white is used, two other colors are also used. In any rug in which olive is used, peach is also used. Forest and turquoise are not used together in a rug. Peach and turquoise are not used together in a rug. Peach and yellow are not used together in a rug.
Question: If forest and peach are used together in a rug, which one of the following could be true?
 A. There is exactly one solid rug.
 B. White is not used in any of the rugs.
 C. Yellow is not used in any of the rugs.
 D. Turquoise and white are used together in a rug.
 E. Turquoise and yellow are used together in a rug.
Answer:

Choices:
- A
- B
- C
- D
- E

Three rugs will be woven out of colored thread. Six colors of thread are available—forest, olive, peach, turquoise, white, and yellow—exactly five of which will be used to weave the rugs. Each color that is used will be used in only one of the rugs. The rugs are either solid—woven in a single color—or multicolored. The rugs must be woven according to the following rules: In any rug in which white is used, two other colors are also used. In any rug in which olive is used, peach is also used. Forest and turquoise are not used together in a rug. Peach and turquoise are not used together in a rug. Peach and yellow are not used together in a rug.
Question: If forest and peach are used together in a rug, which one of the following could be true?
 A. There is exactly one solid rug.
 B. White is not used in any of the rugs.
 C. Yellow is not used in any of the rugs.
 D. Turquoise and white are used together in a rug.
 E. Turquoise and yellow are used together in a rug.
Answer: B


Question:
A panel of five scientists will be formed. The panelists will be selected from among three botanists—F, G, and H—three chemists—K, L, and M—and three zoologists—P, Q, and R. Selection is governed by the following conditions: The panel must include at least one scientist of each of the three types. If more than one botanist is selected, then at most one zoologist is selected. F and K cannot both be selected. K and M cannot both be selected. If M is selected, both P and R must be selected.
Question: If both G and H are among the scientists selected, then the panel must include either
 A. F or else K
 B. F or else M
 C. K or else M
 D. M or else Q
 E. P or else Q
Answer:

Choices:
- A
- B
- C
- D
- E

A panel of five scientists will be formed. The panelists will be selected from among three botanists—F, G, and H—three chemists—K, L, and M—and three zoologists—P, Q, and R. Selection is governed by the following conditions: The panel must include at least one scientist of each of the three types. If more than one botanist is selected, then at most one zoologist is selected. F and K cannot both be selected. K and M cannot both be selected. If M is selected, both P and R must be selected.
Question: If both G and H are among the scientists selected, then the panel must include either
 A. F or else K
 B. F or else M
 C. K or else M
 D. M or else Q
 E. P or else Q
Answer: A


Question:
A concert is given by a six-member band—guitarist, keyboard player, percussionist, saxophonist, trumpeter, violinist. During the concert, each member performs exactly one solo. The following restrictions apply: The guitarist does not perform the fourth solo. The percussionist performs a solo at some time before the keyboard player does. The keyboard player performs a solo at some time after the violinist does and at some time before the guitarist does. The saxophonist performs a solo at some time after either the percussionist does or the trumpeter does, but not both.
Question: If the percussionist performs a solo at some time before the saxophonist does, then which one of the following must be true?
 A. The percussionist performs the first solo.
 B. The percussionist performs the second solo.
 C. The violinist performs a solo at some time before the saxophonist does.
 D. The percussionist performs a solo at some time before the trumpeter does.
 E. The saxophonist performs a solo at some time before the keyboard player does.
Answer:

Choices:
- A
- B
- C
- D
- E

A concert is given by a six-member band—guitarist, keyboard player, percussionist, saxophonist, trumpeter, violinist. During the concert, each member performs exactly one solo. The following restrictions apply: The guitarist does not perform the fourth solo. The percussionist performs a solo at some time before the keyboard player does. The keyboard player performs a solo at some time after the violinist does and at some time before the guitarist does. The saxophonist performs a solo at some time after either the percussionist does or the trumpeter does, but not both.
Question: If the percussionist performs a solo at some time before the saxophonist does, then which one of the following must be true?
 A. The percussionist performs the first solo.
 B. The percussionist performs the second solo.
 C. The violinist performs a solo at some time before the saxophonist does.
 D. The percussionist performs a solo at some time before the trumpeter does.
 E. The saxophonist performs a solo at some time before the keyboard player does.
Answer: D


Question:
An administrator must assign parking spaces to six new employees: Robertson, Souza, Togowa, Vaughn, Xu, and Young. Each of the six employees must be assigned one of the following parking spaces: #1, #2, #3, #4, #5, or #6. No two employees can be assigned the same parking space. The following rules govern the assignment of parking spaces: Young must be assigned a higher-numbered parking space than Togowa. Xu must be assigned a higher-numbered parking space than Souza. Robertson must be assigned a higher-numbered parking space than Young. Robertson must be assigned parking space #1, #2, #3, or #4.
Question: For how many of the six new employees is the assignment of a parking space limited to one of only two possible spaces?
 A. none
 B. two
 C. three
 D. four
 E. five
Answer:

Choices:
- A
- B
- C
- D
- E

An administrator must assign parking spaces to six new employees: Robertson, Souza, Togowa, Vaughn, Xu, and Young. Each of the six employees must be assigned one of the following parking spaces: #1, #2, #3, #4, #5, or #6. No two employees can be assigned the same parking space. The following rules govern the assignment of parking spaces: Young must be assigned a higher-numbered parking space than Togowa. Xu must be assigned a higher-numbered parking space than Souza. Robertson must be assigned a higher-numbered parking space than Young. Robertson must be assigned parking space #1, #2, #3, or #4.
Question: For how many of the six new employees is the assignment of a parking space limited to one of only two possible spaces?
 A. none
 B. two
 C. three
 D. four
 E. five
Answer: D


Question:
A government needs to assign new ambassadors to Venezuela, Yemen, and Zambia. The candidates for these ambassadorships are Jaramillo, Kayne, Landon, Novetzke, and Ong. One ambassador will be assigned to each country, and no ambassador will be assigned to more than one country. The assignment of the ambassadors must meet the following constraints: Either Kayne or Novetzke, but not both, is assigned to one of the ambassadorships. If Jaramillo is assigned to one of the ambassadorships, then so is Kayne. If Ong is assigned as ambassador to Venezuela, Kayne is not assigned as ambassador to Yemen. If Landon is assigned to an ambassadorship, it is to Zambia.
Question: Which one of the following could be the assignment of the ambassadors?
 A. Venezuela: Jaramillo Yemen: Ong Zambia: Novetzke
 B. Venezuela: Kayne Yemen: Jaramillo Zambia: Landon
 C. Venezuela: Landon Yemen: Novetzke Zambia: Ong
 D. Venezuela: Novetzke Yemen: Jaramillo Zambia: Kayne
 E. Venezuela: Ong Yemen: Kayne Zambia: Landon
Answer:

Choices:
- A
- B
- C
- D
- E

A government needs to assign new ambassadors to Venezuela, Yemen, and Zambia. The candidates for these ambassadorships are Jaramillo, Kayne, Landon, Novetzke, and Ong. One ambassador will be assigned to each country, and no ambassador will be assigned to more than one country. The assignment of the ambassadors must meet the following constraints: Either Kayne or Novetzke, but not both, is assigned to one of the ambassadorships. If Jaramillo is assigned to one of the ambassadorships, then so is Kayne. If Ong is assigned as ambassador to Venezuela, Kayne is not assigned as ambassador to Yemen. If Landon is assigned to an ambassadorship, it is to Zambia.
Question: Which one of the following could be the assignment of the ambassadors?
 A. Venezuela: Jaramillo Yemen: Ong Zambia: Novetzke
 B. Venezuela: Kayne Yemen: Jaramillo Zambia: Landon
 C. Venezuela: Landon Yemen: Novetzke Zambia: Ong
 D. Venezuela: Novetzke Yemen: Jaramillo Zambia: Kayne
 E. Venezuela: Ong Yemen: Kayne Zambia: Landon
Answer: B


Question:
A loading dock consists of exactly six bays numbered 1 through 6 consecutively from one side of the dock to the other. Each bay is holding a different one of exactly six types of cargo—fuel, grain, livestock, machinery, produce, or textiles. The following apply: The bay holding grain has a higher number than the bay holding livestock. The bay holding livestock has a higher number than the bay holding textiles. The bay holding produce has a higher number than the bay holding fuel. The bay holding textiles is next to the bay holding produce.
Question: If there is exactly one bay between the bay holding machinery and the bay holding grain, then for exactly how many of the six bays is the type of cargo that bay is holding completely determined?
 A. two
 B. three
 C. four
 D. five
 E. six
Answer:

Choices:
- A
- B
- C
- D
- E

A loading dock consists of exactly six bays numbered 1 through 6 consecutively from one side of the dock to the other. Each bay is holding a different one of exactly six types of cargo—fuel, grain, livestock, machinery, produce, or textiles. The following apply: The bay holding grain has a higher number than the bay holding livestock. The bay holding livestock has a higher number than the bay holding textiles. The bay holding produce has a higher number than the bay holding fuel. The bay holding textiles is next to the bay holding produce.
Question: If there is exactly one bay between the bay holding machinery and the bay holding grain, then for exactly how many of the six bays is the type of cargo that bay is holding completely determined?
 A. two
 B. three
 C. four
 D. five
 E. six
Answer: C


Question:
On the first day of a two-day study for a cycling magazine, four riders—Reynaldo, Seamus, Theresa, and Yuki—will each test one of four bicycles—F, G, H, and J. Each rider will then test a different one of the bicycles on the second day. Each rider tests only one bicycle per day, and all four bicycles are tested each day. The assignment of riders to bicycles is subject to the following conditions: Reynaldo cannot test F. Yuki cannot test J. Theresa must be one of the testers for H. The bicycle that Yuki tests on the first day must be tested by Seamus on the second day.
Question: Which one of the following CANNOT be true?
 A. Reynaldo tests G on the second day.
 B. Seamus tests F on the first day.
 C. Theresa tests F on the second day.
 D. Reynaldo tests H on the first day.
 E. Yuki tests F on the second day.
Answer:

Choices:
- A
- B
- C
- D
- E

On the first day of a two-day study for a cycling magazine, four riders—Reynaldo, Seamus, Theresa, and Yuki—will each test one of four bicycles—F, G, H, and J. Each rider will then test a different one of the bicycles on the second day. Each rider tests only one bicycle per day, and all four bicycles are tested each day. The assignment of riders to bicycles is subject to the following conditions: Reynaldo cannot test F. Yuki cannot test J. Theresa must be one of the testers for H. The bicycle that Yuki tests on the first day must be tested by Seamus on the second day.
Question: Which one of the following CANNOT be true?
 A. Reynaldo tests G on the second day.
 B. Seamus tests F on the first day.
 C. Theresa tests F on the second day.
 D. Reynaldo tests H on the first day.
 E. Yuki tests F on the second day.
Answer: C


Question:
The manager of a photography business must assign at least two photographers to each of two graduation ceremonies—one at Silva University and the other at Thorne University. Exactly six photographers are available—Frost, Gonzalez, Heideck, Knutson, Lai, and Mays—but not all have to be assigned. No photographer can be assigned to both ceremonies. The following constraints apply: Frost must be assigned together with Heideck to one of the graduation ceremonies. If Lai and Mays are both assigned, it must be to different ceremonies. If Gonzalez is assigned to the Silva University ceremony, then Lai must be assigned to the Thorne University ceremony. If Knutson is not assigned to the Thorne University ceremony, then both Heideck and Mays must be assigned to it.
Question: If Heideck is assigned to the same graduation ceremony as Lai, then which one of the following must be true?
 A. Frost is assigned to the Thorne University ceremony.
 B. Gonzalez is assigned to the Silva University ceremony.
 C. Gonzalez is assigned to neither graduation ceremony.
 D. Knutson is assigned to the Thorne University ceremony.
 E. Lai is assigned to the Thorne University ceremony.
Answer:

Choices:
- A
- B
- C
- D
- E

The manager of a photography business must assign at least two photographers to each of two graduation ceremonies—one at Silva University and the other at Thorne University. Exactly six photographers are available—Frost, Gonzalez, Heideck, Knutson, Lai, and Mays—but not all have to be assigned. No photographer can be assigned to both ceremonies. The following constraints apply: Frost must be assigned together with Heideck to one of the graduation ceremonies. If Lai and Mays are both assigned, it must be to different ceremonies. If Gonzalez is assigned to the Silva University ceremony, then Lai must be assigned to the Thorne University ceremony. If Knutson is not assigned to the Thorne University ceremony, then both Heideck and Mays must be assigned to it.
Question: If Heideck is assigned to the same graduation ceremony as Lai, then which one of the following must be true?
 A. Frost is assigned to the Thorne University ceremony.
 B. Gonzalez is assigned to the Silva University ceremony.
 C. Gonzalez is assigned to neither graduation ceremony.
 D. Knutson is assigned to the Thorne University ceremony.
 E. Lai is assigned to the Thorne University ceremony.
Answer: D


Question:
The organizer of a reading club will select at least five and at most six works from a group of nine works. The group consists of three French novels, three Russian novels, two French plays, and one Russian play. The organizer's selection of works must conform to the following requirements: No more than four French works are selected. At least three but no more than four novels are selected. At least as many French novels as Russian novels are selected. If both French plays are selected, then the Russian play is not selected.
Question: If the works selected include three French novels, which one of the following could be a complete and accurate list of the remaining works selected?
 A. one Russian novel
 B. two French plays
 C. one Russian novel, one Russian play
 D. one Russian novel, two French plays
 E. two Russian novels, one French play
Answer:

Choices:
- A
- B
- C
- D
- E

The organizer of a reading club will select at least five and at most six works from a group of nine works. The group consists of three French novels, three Russian novels, two French plays, and one Russian play. The organizer's selection of works must conform to the following requirements: No more than four French works are selected. At least three but no more than four novels are selected. At least as many French novels as Russian novels are selected. If both French plays are selected, then the Russian play is not selected.
Question: If the works selected include three French novels, which one of the following could be a complete and accurate list of the remaining works selected?
 A. one Russian novel
 B. two French plays
 C. one Russian novel, one Russian play
 D. one Russian novel, two French plays
 E. two Russian novels, one French play
Answer: C


Question:
A loading dock consists of exactly six bays numbered 1 through 6 consecutively from one side of the dock to the other. Each bay is holding a different one of exactly six types of cargo—fuel, grain, livestock, machinery, produce, or textiles. The following apply: The bay holding grain has a higher number than the bay holding livestock. The bay holding livestock has a higher number than the bay holding textiles. The bay holding produce has a higher number than the bay holding fuel. The bay holding textiles is next to the bay holding produce.
Question: Which one of the following lists could accurately identify the cargo held in each of the loading dock's first three bays, listed in order from bay 1 to bay 3?
 A. fuel, machinery, textiles
 B. grain, machinery, fuel
 C. machinery, livestock, fuel
 D. machinery, textiles, fuel
 E. machinery, textiles, produce
Answer:

Choices:
- A
- B
- C
- D
- E

A loading dock consists of exactly six bays numbered 1 through 6 consecutively from one side of the dock to the other. Each bay is holding a different one of exactly six types of cargo—fuel, grain, livestock, machinery, produce, or textiles. The following apply: The bay holding grain has a higher number than the bay holding livestock. The bay holding livestock has a higher number than the bay holding textiles. The bay holding produce has a higher number than the bay holding fuel. The bay holding textiles is next to the bay holding produce.
Question: Which one of the following lists could accurately identify the cargo held in each of the loading dock's first three bays, listed in order from bay 1 to bay 3?
 A. fuel, machinery, textiles
 B. grain, machinery, fuel
 C. machinery, livestock, fuel
 D. machinery, textiles, fuel
 E. machinery, textiles, produce
Answer: A


Question:
A loading dock consists of exactly six bays numbered 1 through 6 consecutively from one side of the dock to the other. Each bay is holding a different one of exactly six types of cargo—fuel, grain, livestock, machinery, produce, or textiles. The following apply: The bay holding grain has a higher number than the bay holding livestock. The bay holding livestock has a higher number than the bay holding textiles. The bay holding produce has a higher number than the bay holding fuel. The bay holding textiles is next to the bay holding produce.
Question: If the bay holding produce is next to the bay holding livestock, then each of the following could be true EXCEPT:
 A. Bay 2 is holding fuel.
 B. Bay 4 is holding produce.
 C. Bay 4 is holding textiles.
 D. Bay 5 is holding grain.
 E. Bay 5 is holding machinery.
Answer:

Choices:
- A
- B
- C
- D
- E

A loading dock consists of exactly six bays numbered 1 through 6 consecutively from one side of the dock to the other. Each bay is holding a different one of exactly six types of cargo—fuel, grain, livestock, machinery, produce, or textiles. The following apply: The bay holding grain has a higher number than the bay holding livestock. The bay holding livestock has a higher number than the bay holding textiles. The bay holding produce has a higher number than the bay holding fuel. The bay holding textiles is next to the bay holding produce.
Question: If the bay holding produce is next to the bay holding livestock, then each of the following could be true EXCEPT:
 A. Bay 2 is holding fuel.
 B. Bay 4 is holding produce.
 C. Bay 4 is holding textiles.
 D. Bay 5 is holding grain.
 E. Bay 5 is holding machinery.
Answer: C