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: Which one of the following could be the sixth audition?
 A. Kammer's audition
 B. Lugo's audition
 C. Trillo's audition
 D. Waite's audition
 E. Zinn's audition
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: Which one of the following could be the sixth audition?
 A. Kammer's audition
 B. Lugo's audition
 C. Trillo's audition
 D. Waite's audition
 E. Zinn's audition
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 must be true?
 A. K is shown in the evening.
 B. L is shown in the afternoon.
 C. L is shown in the evening.
 D. M is shown in the morning.
 E. M is shown in the afternoon.
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 must be true?
 A. K is shown in the evening.
 B. L is shown in the afternoon.
 C. L is shown in the evening.
 D. M is shown in the morning.
 E. M is shown in the afternoon.
Answer: B


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: Which one of the following could be true?
 A. There are exactly four breeds that are each featured on three days.
 B. Greyhounds are featured on every day that Himalayans are.
 C. Himalayans are featured on every day that Greyhounds are.
 D. Himalayans are featured on every day that Rottweilers are not.
 E. Rottweilers are featured on every day that Himalayans are not.
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: Which one of the following could be true?
 A. There are exactly four breeds that are each featured on three days.
 B. Greyhounds are featured on every day that Himalayans are.
 C. Himalayans are featured on every day that Greyhounds are.
 D. Himalayans are featured on every day that Rottweilers are not.
 E. Rottweilers are featured on every day that Himalayans are not.
Answer: A


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 one of the rugs is solid peach, which one of the following must be true?
 A. One of the rugs is solid forest.
 B. One of the rugs is solid turquoise.
 C. One of the rugs is solid yellow.
 D. Forest and white are used together in a rug.
 E. White 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 one of the rugs is solid peach, which one of the following must be true?
 A. One of the rugs is solid forest.
 B. One of the rugs is solid turquoise.
 C. One of the rugs is solid yellow.
 D. Forest and white are used together in a rug.
 E. White and yellow are used together in a rug.
Answer: E


Question:
Four students will be assigned to a history project in which they will search archives from the years 1921, 1922, 1923, and 1924. Each of the four years will have exactly one student assigned to it. Six students—Louis, Mollie, Onyx, Ryan, Tiffany, and Yoshio—are available for this project. The following conditions apply: Only Louis or Tiffany can be assigned to 1923. If Mollie is assigned to the project, then she must be assigned to either 1921 or 1922. If Tiffany is assigned to the project, then Ryan must be assigned to the project. If Ryan is assigned to the project, then Onyx must be assigned to the year immediately prior to Ryan's.
Question: If both Ryan and Yoshio are assigned to the project, which one of the following could be true?
 A. Louis is assigned to 1923.
 B. Mollie is assigned to 1921.
 C. Onyx is assigned to 1922.
 D. Tiffany is assigned to 1924.
 E. Yoshio is assigned to 1922.
Answer:

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

Four students will be assigned to a history project in which they will search archives from the years 1921, 1922, 1923, and 1924. Each of the four years will have exactly one student assigned to it. Six students—Louis, Mollie, Onyx, Ryan, Tiffany, and Yoshio—are available for this project. The following conditions apply: Only Louis or Tiffany can be assigned to 1923. If Mollie is assigned to the project, then she must be assigned to either 1921 or 1922. If Tiffany is assigned to the project, then Ryan must be assigned to the project. If Ryan is assigned to the project, then Onyx must be assigned to the year immediately prior to Ryan's.
Question: If both Ryan and Yoshio are assigned to the project, which one of the following could be true?
 A. Louis is assigned to 1923.
 B. Mollie is assigned to 1921.
 C. Onyx is assigned to 1922.
 D. Tiffany is assigned to 1924.
 E. Yoshio is assigned to 1922.
Answer: A


Question:
A chemistry class has six lab sessions scheduled over three days—Wednesday, Thursday, and Friday—one session heing held each morning and one each afternoon. Each session will be led by a different lab assistant—Julio, Kevin, Lan, Nessa, Olivia, or Rebecca. The assignment of lab assistants to sessions is constrained as follows: Kevin and Rebecca must lead sessions that meet on the same day. Lan and Olivia cannot lead sessions that meet on the same day. Nessa must lead an afternoon session. Julio's session must meet on an earlier day of the week than Olivia's.
Question: If Lan does not lead a Wednesday session, then which one of the following lab assistants must lead a Thursday session?
 A. Rebecca
 B. Olivia
 C. Nessa
 D. Kevin
 E. Julio
Answer:

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

A chemistry class has six lab sessions scheduled over three days—Wednesday, Thursday, and Friday—one session heing held each morning and one each afternoon. Each session will be led by a different lab assistant—Julio, Kevin, Lan, Nessa, Olivia, or Rebecca. The assignment of lab assistants to sessions is constrained as follows: Kevin and Rebecca must lead sessions that meet on the same day. Lan and Olivia cannot lead sessions that meet on the same day. Nessa must lead an afternoon session. Julio's session must meet on an earlier day of the week than Olivia's.
Question: If Lan does not lead a Wednesday session, then which one of the following lab assistants must lead a Thursday session?
 A. Rebecca
 B. Olivia
 C. Nessa
 D. Kevin
 E. Julio
Answer: E


Question:
An editor will edit seven articles, one at a time. Three of the articles—G, H, and J—cover finance; three other articles—Q, R, and S—cover nutrition; and the remaining article, Y, covers wildlife. The order in which the articles are edited is subject to the following conditions: Consecutive articles cannot cover the same topic as each other. S can be earlier than Q only if Q is third. S must be earlier than Y. J must be earlier than G, and G must be earlier than R.
Question: In the order in which the articles are edited, S could be in any of the following positions EXCEPT:
 A. first
 B. third
 C. fourth
 D. fifth
 E. sixth
Answer:

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

An editor will edit seven articles, one at a time. Three of the articles—G, H, and J—cover finance; three other articles—Q, R, and S—cover nutrition; and the remaining article, Y, covers wildlife. The order in which the articles are edited is subject to the following conditions: Consecutive articles cannot cover the same topic as each other. S can be earlier than Q only if Q is third. S must be earlier than Y. J must be earlier than G, and G must be earlier than R.
Question: In the order in which the articles are edited, S could be in any of the following positions EXCEPT:
 A. first
 B. third
 C. fourth
 D. fifth
 E. sixth
Answer: D


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 Garcia gives the sculptures lecture, which one of the following could be true?
 A. The lithographs lecture is third.
 B. The oil paintings lecture is third.
 C. The sculptures lecture is first.
 D. The sculptures lecture is second.
 E. The watercolors lecture is second.
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 Garcia gives the sculptures lecture, which one of the following could be true?
 A. The lithographs lecture is third.
 B. The oil paintings lecture is third.
 C. The sculptures lecture is first.
 D. The sculptures lecture is second.
 E. The watercolors lecture is second.
Answer: A


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: Which one of the following could be an accurate and complete list of the students who review Tamerlane?
 A. Jiang, Kramer
 B. Kramer, O'Neill
 C. Kramer, Lopez, O'Neill
 D. Kramer, Megregian, O'Neill
 E. Lopez, Megregian, O'Neill
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: Which one of the following could be an accurate and complete list of the students who review Tamerlane?
 A. Jiang, Kramer
 B. Kramer, O'Neill
 C. Kramer, Lopez, O'Neill
 D. Kramer, Megregian, O'Neill
 E. Lopez, Megregian, O'Neill
Answer: D


Question:
A software company employs exactly seven sales representatives—Kim, Mahr, Parra, Quinn, Stuckey, Tiao, and Udall—to work in its three sales zones—Zone 1, Zone 2, and Zone 3. Each sales representative works in exactly one of the sales zones, in accordance with the following conditions: Either Parra or Tiao (but not both) works in Zone 1. Either Tiao or Udall (but not both) works in Zone 2. Parra and Quinn work in the same sales zone as each other. Stuckey and Udall work in the same sales zone as each other. There are more of the sales representatives working in Zone 3 than in Zone 2.
Question: If more sales representatives work in Zone 1 than in Zone 3, then which one of the following could be true?
 A. Kim works in Zone 2.
 B. Mahr works in Zone 2.
 C. Parra works in Zone 3.
 D. Tiao works in Zone 1.
 E. Udall works in Zone 3.
Answer:

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

A software company employs exactly seven sales representatives—Kim, Mahr, Parra, Quinn, Stuckey, Tiao, and Udall—to work in its three sales zones—Zone 1, Zone 2, and Zone 3. Each sales representative works in exactly one of the sales zones, in accordance with the following conditions: Either Parra or Tiao (but not both) works in Zone 1. Either Tiao or Udall (but not both) works in Zone 2. Parra and Quinn work in the same sales zone as each other. Stuckey and Udall work in the same sales zone as each other. There are more of the sales representatives working in Zone 3 than in Zone 2.
Question: If more sales representatives work in Zone 1 than in Zone 3, then which one of the following could be true?
 A. Kim works in Zone 2.
 B. Mahr works in Zone 2.
 C. Parra works in Zone 3.
 D. Tiao works in Zone 1.
 E. Udall works in Zone 3.
Answer: E


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: Which one of the following could be true?
 A. Both of Franz's paintings and both of Greene's paintings are displayed in lower positions.
 B. Both of Franz's paintings and both of Greene's paintings are displayed in upper positions.
 C. Both of Franz's paintings and both of Hidalgo's paintings are displayed in upper positions.
 D. Both of Greene's paintings and both of Hidalgo's paintings are displayed in lower positions.
 E. Both of Greene's paintings and both of Hidalgo's paintings are displayed in upper positions.
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: Which one of the following could be true?
 A. Both of Franz's paintings and both of Greene's paintings are displayed in lower positions.
 B. Both of Franz's paintings and both of Greene's paintings are displayed in upper positions.
 C. Both of Franz's paintings and both of Hidalgo's paintings are displayed in upper positions.
 D. Both of Greene's paintings and both of Hidalgo's paintings are displayed in lower positions.
 E. Both of Greene's paintings and both of Hidalgo's paintings are displayed in upper positions.
Answer: D


Question:
An editor will edit seven articles, one at a time. Three of the articles—G, H, and J—cover finance; three other articles—Q, R, and S—cover nutrition; and the remaining article, Y, covers wildlife. The order in which the articles are edited is subject to the following conditions: Consecutive articles cannot cover the same topic as each other. S can be earlier than Q only if Q is third. S must be earlier than Y. J must be earlier than G, and G must be earlier than R.
Question: The order in which the articles are edited is fully determined if which one of the following is true?
 A. H is fourth.
 B. H is sixth.
 C. R is fourth.
 D. R is seventh.
 E. Y is fifth.
Answer:

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

An editor will edit seven articles, one at a time. Three of the articles—G, H, and J—cover finance; three other articles—Q, R, and S—cover nutrition; and the remaining article, Y, covers wildlife. The order in which the articles are edited is subject to the following conditions: Consecutive articles cannot cover the same topic as each other. S can be earlier than Q only if Q is third. S must be earlier than Y. J must be earlier than G, and G must be earlier than R.
Question: The order in which the articles are edited is fully determined if which one of the following is true?
 A. H is fourth.
 B. H is sixth.
 C. R is fourth.
 D. R is seventh.
 E. Y is fifth.
Answer: C


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 could be true of the fifth lecture?
 A. It is on oystercatchers and is in Gladwyn Hall.
 B. It is on petrels and is in Howard Auditorium.
 C. It is on rails and is in Howard Auditorium.
 D. It is on sandpipers and is in Howard Auditorium.
 E. It is on terns and is in Gladwyn Hall.
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 could be true of the fifth lecture?
 A. It is on oystercatchers and is in Gladwyn Hall.
 B. It is on petrels and is in Howard Auditorium.
 C. It is on rails and is in Howard Auditorium.
 D. It is on sandpipers and is in Howard Auditorium.
 E. It is on terns and is in Gladwyn Hall.
Answer: A


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 Zircon performs in an earlier slot than Yardsign, which one of the following is the earliest slot in which Wellspring could perform?
 A. two
 B. three
 C. four
 D. five
 E. six
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 Zircon performs in an earlier slot than Yardsign, which one of the following is the earliest slot in which Wellspring could perform?
 A. two
 B. three
 C. four
 D. five
 E. six
Answer: C


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 Z is mentioned in chapter 7, which one of the following could be true?
 A. R is mentioned in chapter 3.
 B. S is mentioned in chapter 3.
 C. T is mentioned in chapter 4.
 D. U is mentioned in chapter 1.
 E. X is mentioned in chapter 5.
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 Z is mentioned in chapter 7, which one of the following could be true?
 A. R is mentioned in chapter 3.
 B. S is mentioned in chapter 3.
 C. T is mentioned in chapter 4.
 D. U is mentioned in chapter 1.
 E. X is mentioned in chapter 5.
Answer: D


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: Which one of the following could be the order in which the breeds of kitten are featured in the pet shop, from day 1 though day 7?
 A. Himalayan, Manx, Siamese, Himalayan, Manx, Himalayan, Siamese
 B. Manx, Himalayan, Siamese, Himalayan, Manx Himalayan, Manx
 C. Manx, Himalayan, Manx, Himalayan, Siamese, Manx, Siamese
 D. Siamese, Himalayan, Manx, Himalayan, Siamese, Siamese, Himalayan
 E. Siamese, Himalayan, Siamese, Himalayan, Manx, Siamese, Himalayan
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: Which one of the following could be the order in which the breeds of kitten are featured in the pet shop, from day 1 though day 7?
 A. Himalayan, Manx, Siamese, Himalayan, Manx, Himalayan, Siamese
 B. Manx, Himalayan, Siamese, Himalayan, Manx Himalayan, Manx
 C. Manx, Himalayan, Manx, Himalayan, Siamese, Manx, Siamese
 D. Siamese, Himalayan, Manx, Himalayan, Siamese, Siamese, Himalayan
 E. Siamese, Himalayan, Siamese, Himalayan, Manx, Siamese, Himalayan
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: Which one of the following must be true?
 A. Farley's lecture is earlier than the sculptures lecture.
 B. Holden's lecture is earlier than the lithographs lecture.
 C. The sculptures lecture is earlier than Garcia's lecture.
 D. The sculptures lecture is earlier than Jiang's lecture.
 E. The watercolors lecture is earlier than Garcia's 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: Which one of the following must be true?
 A. Farley's lecture is earlier than the sculptures lecture.
 B. Holden's lecture is earlier than the lithographs lecture.
 C. The sculptures lecture is earlier than Garcia's lecture.
 D. The sculptures lecture is earlier than Jiang's lecture.
 E. The watercolors lecture is earlier than Garcia's lecture.
Answer: B


Question:
An editor will edit seven articles, one at a time. Three of the articles—G, H, and J—cover finance; three other articles—Q, R, and S—cover nutrition; and the remaining article, Y, covers wildlife. The order in which the articles are edited is subject to the following conditions: Consecutive articles cannot cover the same topic as each other. S can be earlier than Q only if Q is third. S must be earlier than Y. J must be earlier than G, and G must be earlier than R.
Question: If G is fourth, which one of the following could be true?
 A. H is fifth.
 B. J is first.
 C. Q is second.
 D. S is fifth
 E. Y is sixth.
Answer:

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

An editor will edit seven articles, one at a time. Three of the articles—G, H, and J—cover finance; three other articles—Q, R, and S—cover nutrition; and the remaining article, Y, covers wildlife. The order in which the articles are edited is subject to the following conditions: Consecutive articles cannot cover the same topic as each other. S can be earlier than Q only if Q is third. S must be earlier than Y. J must be earlier than G, and G must be earlier than R.
Question: If G is fourth, which one of the following could be true?
 A. H is fifth.
 B. J is first.
 C. Q is second.
 D. S is fifth
 E. Y is sixth.
Answer: E


Question:
In the Lifestyle, Metro, and Sports sections of tomorrow's newspaper, a total of six different photographs are to appear, exactly two photographs per section. Each of the available photographs was taken by one of three photographers: Fuentes, Gagnon, and Hue. Selection of the photographs is constrained by the following conditions: For each photographer, at least one but no more than three of that photographers photographs must appear. At least one photograph in the Lifestyle section must be by a photographer who has at least one photograph in the Metro section. The number of Hue's photographs in the Lifestyle section must be the same as the number of Fuentes photographs in the Sports section. None of Gagnon's photographs can be in the Sports section.
Question: If one photograph in the Metro section is by Fuentes and one is by Hue, then which one of the following could be true?
 A. Both photographs in the Lifestyle section are by Fuentes.
 B. Both photographs in the Lifestyle section are by Gagnon.
 C. One photograph in the Lifestyle section is by Gagnon and one is by Hue.
 D. Both photographs in the Lifestyle section are by Hue.
 E. Both photographs in the Sports section are by Fuentes.
Answer:

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

In the Lifestyle, Metro, and Sports sections of tomorrow's newspaper, a total of six different photographs are to appear, exactly two photographs per section. Each of the available photographs was taken by one of three photographers: Fuentes, Gagnon, and Hue. Selection of the photographs is constrained by the following conditions: For each photographer, at least one but no more than three of that photographers photographs must appear. At least one photograph in the Lifestyle section must be by a photographer who has at least one photograph in the Metro section. The number of Hue's photographs in the Lifestyle section must be the same as the number of Fuentes photographs in the Sports section. None of Gagnon's photographs can be in the Sports section.
Question: If one photograph in the Metro section is by Fuentes and one is by Hue, then which one of the following could be true?
 A. Both photographs in the Lifestyle section are by Fuentes.
 B. Both photographs in the Lifestyle section are by Gagnon.
 C. One photograph in the Lifestyle section is by Gagnon and one is by Hue.
 D. Both photographs in the Lifestyle section are by Hue.
 E. Both photographs in the Sports section are by Fuentes.
Answer: C


Question:
Seven workers—Quinn, Ruiz, Smith, Taylor, Verma, Wells, and Xue—are being considered for a special project. Exactly three of the workers will be selected to be project members, and exactly one of these project members will be the project leader. The selection is subject to the following constraints: Quinn or Ruiz can be a project member only if leading the project. If Smith is a project member, Taylor must also be. If Wells is a project member, neither Ruiz nor Verma can be.
Question: The selection for the project is completely determined if which one of the following is true?
 A. Neither Quinn nor Smith is selected.
 B. Neither Quinn nor Taylor is selected.
 C. Neither Quinn nor Xue is selected.
 D. Neither Ruiz nor Wells is selected.
 E. Neither Ruiz nor Verma is selected.
Answer:

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

Seven workers—Quinn, Ruiz, Smith, Taylor, Verma, Wells, and Xue—are being considered for a special project. Exactly three of the workers will be selected to be project members, and exactly one of these project members will be the project leader. The selection is subject to the following constraints: Quinn or Ruiz can be a project member only if leading the project. If Smith is a project member, Taylor must also be. If Wells is a project member, neither Ruiz nor Verma can be.
Question: The selection for the project is completely determined if which one of the following is true?
 A. Neither Quinn nor Smith is selected.
 B. Neither Quinn nor Taylor is selected.
 C. Neither Quinn nor Xue is selected.
 D. Neither Ruiz nor Wells is selected.
 E. Neither Ruiz nor Verma is selected.
Answer: B


Question:
A software company employs exactly seven sales representatives—Kim, Mahr, Parra, Quinn, Stuckey, Tiao, and Udall—to work in its three sales zones—Zone 1, Zone 2, and Zone 3. Each sales representative works in exactly one of the sales zones, in accordance with the following conditions: Either Parra or Tiao (but not both) works in Zone 1. Either Tiao or Udall (but not both) works in Zone 2. Parra and Quinn work in the same sales zone as each other. Stuckey and Udall work in the same sales zone as each other. There are more of the sales representatives working in Zone 3 than in Zone 2.
Question: Which one of the following could be a complete and accurate list of the sales representatives working in Zone 3?
 A. Kim, Mahr
 B. Kim, Tiao
 C. Parra, Quinn
 D. Stuckey, Tiao, Udall
 E. Parra, Quinn, Stuckey, Udall
Answer:

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

A software company employs exactly seven sales representatives—Kim, Mahr, Parra, Quinn, Stuckey, Tiao, and Udall—to work in its three sales zones—Zone 1, Zone 2, and Zone 3. Each sales representative works in exactly one of the sales zones, in accordance with the following conditions: Either Parra or Tiao (but not both) works in Zone 1. Either Tiao or Udall (but not both) works in Zone 2. Parra and Quinn work in the same sales zone as each other. Stuckey and Udall work in the same sales zone as each other. There are more of the sales representatives working in Zone 3 than in Zone 2.
Question: Which one of the following could be a complete and accurate list of the sales representatives working in Zone 3?
 A. Kim, Mahr
 B. Kim, Tiao
 C. Parra, Quinn
 D. Stuckey, Tiao, Udall
 E. Parra, Quinn, Stuckey, Udall
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 an accurate list of the six antiques, in the order in which they are auctioned, from June 1st through June 6th?
 A. harmonica, table, sundial, lamp, vase, mirror
 B. lamp, harmonica, sundial, mirror, vase, table
 C. harmonica, sundial, table, mirror, lamp, vase
 D. sundial, mirror, harmonica, table, vase, lamp
 E. vase, sundial, lamp, harmonica, table, mirror
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 an accurate list of the six antiques, in the order in which they are auctioned, from June 1st through June 6th?
 A. harmonica, table, sundial, lamp, vase, mirror
 B. lamp, harmonica, sundial, mirror, vase, table
 C. harmonica, sundial, table, mirror, lamp, vase
 D. sundial, mirror, harmonica, table, vase, lamp
 E. vase, sundial, lamp, harmonica, table, mirror
Answer: C


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: What is the minimum number of solos in which Wayne performs a traditional piece?
 A. zero
 B. one
 C. two
 D. three
 E. four
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: What is the minimum number of solos in which Wayne performs a traditional piece?
 A. zero
 B. one
 C. two
 D. three
 E. four
Answer: A


Question:
Four students will be assigned to a history project in which they will search archives from the years 1921, 1922, 1923, and 1924. Each of the four years will have exactly one student assigned to it. Six students—Louis, Mollie, Onyx, Ryan, Tiffany, and Yoshio—are available for this project. The following conditions apply: Only Louis or Tiffany can be assigned to 1923. If Mollie is assigned to the project, then she must be assigned to either 1921 or 1922. If Tiffany is assigned to the project, then Ryan must be assigned to the project. If Ryan is assigned to the project, then Onyx must be assigned to the year immediately prior to Ryan's.
Question: Which one of the following students CANNOT be assigned to 1922?
 A. Louis
 B. Mollie
 C. Onyx
 D. Ryan
 E. Yoshio
Answer:

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

Four students will be assigned to a history project in which they will search archives from the years 1921, 1922, 1923, and 1924. Each of the four years will have exactly one student assigned to it. Six students—Louis, Mollie, Onyx, Ryan, Tiffany, and Yoshio—are available for this project. The following conditions apply: Only Louis or Tiffany can be assigned to 1923. If Mollie is assigned to the project, then she must be assigned to either 1921 or 1922. If Tiffany is assigned to the project, then Ryan must be assigned to the project. If Ryan is assigned to the project, then Onyx must be assigned to the year immediately prior to Ryan's.
Question: Which one of the following students CANNOT be assigned to 1922?
 A. Louis
 B. Mollie
 C. Onyx
 D. Ryan
 E. Yoshio
Answer: A


Question:
Seven workers—Quinn, Ruiz, Smith, Taylor, Verma, Wells, and Xue—are being considered for a special project. Exactly three of the workers will be selected to be project members, and exactly one of these project members will be the project leader. The selection is subject to the following constraints: Quinn or Ruiz can be a project member only if leading the project. If Smith is a project member, Taylor must also be. If Wells is a project member, neither Ruiz nor Verma can be.
Question: If Taylor is the project leader and Wells is a project member, then the third project member must be either
 A. Quinn or Smith
 B. Quinn or Xue
 C. Ruiz or Verma
 D. Smith or Xue
 E. Verma or Xue
Answer:

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

Seven workers—Quinn, Ruiz, Smith, Taylor, Verma, Wells, and Xue—are being considered for a special project. Exactly three of the workers will be selected to be project members, and exactly one of these project members will be the project leader. The selection is subject to the following constraints: Quinn or Ruiz can be a project member only if leading the project. If Smith is a project member, Taylor must also be. If Wells is a project member, neither Ruiz nor Verma can be.
Question: If Taylor is the project leader and Wells is a project member, then the third project member must be either
 A. Quinn or Smith
 B. Quinn or Xue
 C. Ruiz or Verma
 D. Smith or Xue
 E. Verma or Xue
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 White was recruited immediately before Quinn, which one of the following must have been recruited sixth?
 A. Quinn
 B. Rovero
 C. Stanton
 D. Villas
 E. White
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 immediately before Quinn, which one of the following must have been recruited sixth?
 A. Quinn
 B. Rovero
 C. Stanton
 D. Villas
 E. White
Answer: B


Question:
A shopping center has exactly seven spaces—space 1 through space 7—arranged in a straight row. Seven businesses—an optometrist, a pharmacy, two restaurants, a shoe store, a toy store, and a veterinarian—will be located in the shopping center, one in each space. The locations of the businesses are subject to the following constraints: The pharmacy must be at one end of the row and one of the restaurants at the other. The two restaurants must be separated by at least two other businesses. The pharmacy must be next to either the optometrist or the veterinarian. The toy store cannot be next to the veterinarian.
Question: If the shoe store is in space 4, which one of the following must be true?
 A. The optometrist is next to a restaurant.
 B. The pharmacy is next to the veterinarian.
 C. A restaurant is next to the toy store.
 D. The shoe store is next to the toy store.
 E. The shoe store is next to the veterinarian.
Answer:

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

A shopping center has exactly seven spaces—space 1 through space 7—arranged in a straight row. Seven businesses—an optometrist, a pharmacy, two restaurants, a shoe store, a toy store, and a veterinarian—will be located in the shopping center, one in each space. The locations of the businesses are subject to the following constraints: The pharmacy must be at one end of the row and one of the restaurants at the other. The two restaurants must be separated by at least two other businesses. The pharmacy must be next to either the optometrist or the veterinarian. The toy store cannot be next to the veterinarian.
Question: If the shoe store is in space 4, which one of the following must be true?
 A. The optometrist is next to a restaurant.
 B. The pharmacy is next to the veterinarian.
 C. A restaurant is next to the toy store.
 D. The shoe store is next to the toy store.
 E. The shoe store is next to the veterinarian.
Answer: B


Question:
A bakery makes exactly three kinds of cookie—oatmeal, peanut butter, and sugar. Exactly three batches of each kind of cookie are made each week (Monday through Friday) and each batch is made, from start to finish, on a single day. The following conditions apply: No two batches of the same kind of cookie are made on the same day. At least one batch of cookies is made on Monday. The second batch of oatmeal cookies is made on the same day as the first batch of peanut butter cookies. The second batch of sugar cookies is made on Thursday.
Question: If one kind of cookie's first batch is made on the same day as another kind of cookie's third batch, then which one of the following could be false?
 A. At least one batch of cookies is made on each of the five days.
 B. At least two batches of cookies are made on Wednesday.
 C. Exactly one batch of cookies is made on Monday.
 D. Exactly two batches of cookies are made on Tuesday.
 E. Exactly one batch of cookies is made on Friday.
Answer:

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

A bakery makes exactly three kinds of cookie—oatmeal, peanut butter, and sugar. Exactly three batches of each kind of cookie are made each week (Monday through Friday) and each batch is made, from start to finish, on a single day. The following conditions apply: No two batches of the same kind of cookie are made on the same day. At least one batch of cookies is made on Monday. The second batch of oatmeal cookies is made on the same day as the first batch of peanut butter cookies. The second batch of sugar cookies is made on Thursday.
Question: If one kind of cookie's first batch is made on the same day as another kind of cookie's third batch, then which one of the following could be false?
 A. At least one batch of cookies is made on each of the five days.
 B. At least two batches of cookies are made on Wednesday.
 C. Exactly one batch of cookies is made on Monday.
 D. Exactly two batches of cookies are made on Tuesday.
 E. Exactly one batch of cookies is made on Friday.
Answer: E


Question:
In the Lifestyle, Metro, and Sports sections of tomorrow's newspaper, a total of six different photographs are to appear, exactly two photographs per section. Each of the available photographs was taken by one of three photographers: Fuentes, Gagnon, and Hue. Selection of the photographs is constrained by the following conditions: For each photographer, at least one but no more than three of that photographers photographs must appear. At least one photograph in the Lifestyle section must be by a photographer who has at least one photograph in the Metro section. The number of Hue's photographs in the Lifestyle section must be the same as the number of Fuentes photographs in the Sports section. None of Gagnon's photographs can be in the Sports section.
Question: If one photograph in the Lifestyle section is by Fuentes and one is by Hue, then which one of the following could be true?
 A. Both photographs in the Metro section are by Fuentes.
 B. Both photographs in the Metro section are by Gagnon.
 C. Exactly one photograph in the Metro section is by Hue.
 D. Both photographs in the Sports section are by Hue.
 E. Neither photograph in the Sports section is by Hue.
Answer:

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

In the Lifestyle, Metro, and Sports sections of tomorrow's newspaper, a total of six different photographs are to appear, exactly two photographs per section. Each of the available photographs was taken by one of three photographers: Fuentes, Gagnon, and Hue. Selection of the photographs is constrained by the following conditions: For each photographer, at least one but no more than three of that photographers photographs must appear. At least one photograph in the Lifestyle section must be by a photographer who has at least one photograph in the Metro section. The number of Hue's photographs in the Lifestyle section must be the same as the number of Fuentes photographs in the Sports section. None of Gagnon's photographs can be in the Sports section.
Question: If one photograph in the Lifestyle section is by Fuentes and one is by Hue, then which one of the following could be true?
 A. Both photographs in the Metro section are by Fuentes.
 B. Both photographs in the Metro section are by Gagnon.
 C. Exactly one photograph in the Metro section is by Hue.
 D. Both photographs in the Sports section are by Hue.
 E. Neither photograph in the Sports section is by Hue.
Answer: C


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: Yoshida's audition could be
 A. fifth
 B. fourth
 C. third
 D. second
 E. first
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: Yoshida's audition could be
 A. fifth
 B. fourth
 C. third
 D. second
 E. first
Answer: B


Question:
A shopping center has exactly seven spaces—space 1 through space 7—arranged in a straight row. Seven businesses—an optometrist, a pharmacy, two restaurants, a shoe store, a toy store, and a veterinarian—will be located in the shopping center, one in each space. The locations of the businesses are subject to the following constraints: The pharmacy must be at one end of the row and one of the restaurants at the other. The two restaurants must be separated by at least two other businesses. The pharmacy must be next to either the optometrist or the veterinarian. The toy store cannot be next to the veterinarian.
Question: Which one of the following could be the order of the businesses in spaces 1 through 7 respectively?
 A. pharmacy, optometrist, shoe store, restaurant, veterinarian, toy store, restaurant
 B. pharmacy, veterinarian, optometrist, shoe store, restaurant, toy store, restaurant
 C. restaurant, shoe store, veterinarian, pharmacy, optometrist, toy store, restaurant
 D. restaurant, toy store, optometrist, restaurant, veterinarian, shoe store, pharmacy
 E. restaurant, optometrist, toy store, restaurant, shoe store, veterinarian, pharmacy
Answer:

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

A shopping center has exactly seven spaces—space 1 through space 7—arranged in a straight row. Seven businesses—an optometrist, a pharmacy, two restaurants, a shoe store, a toy store, and a veterinarian—will be located in the shopping center, one in each space. The locations of the businesses are subject to the following constraints: The pharmacy must be at one end of the row and one of the restaurants at the other. The two restaurants must be separated by at least two other businesses. The pharmacy must be next to either the optometrist or the veterinarian. The toy store cannot be next to the veterinarian.
Question: Which one of the following could be the order of the businesses in spaces 1 through 7 respectively?
 A. pharmacy, optometrist, shoe store, restaurant, veterinarian, toy store, restaurant
 B. pharmacy, veterinarian, optometrist, shoe store, restaurant, toy store, restaurant
 C. restaurant, shoe store, veterinarian, pharmacy, optometrist, toy store, restaurant
 D. restaurant, toy store, optometrist, restaurant, veterinarian, shoe store, pharmacy
 E. restaurant, optometrist, toy store, restaurant, shoe store, veterinarian, pharmacy
Answer: E


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 the order, from first through seventh, in which the realtor shows the houses?
 A. K, 0, L, M, N, J, P
 B. N, L, P, K, M, 0, J
 C. 0, P, K, L, N, M, J
 D. 0, P, M, N, K, L, J
 E. P, 0, K, J, L, N, M
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 the order, from first through seventh, in which the realtor shows the houses?
 A. K, 0, L, M, N, J, P
 B. N, L, P, K, M, 0, J
 C. 0, P, K, L, N, M, J
 D. 0, P, M, N, K, L, J
 E. P, 0, K, J, L, N, M
Answer: C


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 2, which one of the following could be true?
 A. Manx are featured on day 3.
 B. Siamese are featured on day 4.
 C. Rottweilers are featured on day 5.
 D. Himalayans are featured on day 6.
 E. Greyhounds are featured on 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 2, which one of the following could be true?
 A. Manx are featured on day 3.
 B. Siamese are featured on day 4.
 C. Rottweilers are featured on day 5.
 D. Himalayans are featured on day 6.
 E. Greyhounds are featured on day 7.
Answer: B


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 Lynch Building, the Meyer Building, and the Ortiz Building.
 B. The buildings owned by Southco are the Garza Tower and the Meyer Building.
 C. The buildings owned by Southco are the King Building, the Meyer Building, and the Ortiz Building.
 D. The buildings owned by Trustcorp are the Flores Tower and the Yates House.
 E. The buildings owned by Trustcorp are the Garza Tower and the Lynch 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 Lynch Building, the Meyer Building, and the Ortiz Building.
 B. The buildings owned by Southco are the Garza Tower and the Meyer Building.
 C. The buildings owned by Southco are the King Building, the Meyer Building, and the Ortiz Building.
 D. The buildings owned by Trustcorp are the Flores Tower and the Yates House.
 E. The buildings owned by Trustcorp are the Garza Tower and the Lynch Building.
Answer: D


Question:
A bakery makes exactly three kinds of cookie—oatmeal, peanut butter, and sugar. Exactly three batches of each kind of cookie are made each week (Monday through Friday) and each batch is made, from start to finish, on a single day. The following conditions apply: No two batches of the same kind of cookie are made on the same day. At least one batch of cookies is made on Monday. The second batch of oatmeal cookies is made on the same day as the first batch of peanut butter cookies. The second batch of sugar cookies is made on Thursday.
Question: How many of the days, Monday through Friday, are such that at most two batches of cookies could be made on that day?
 A. one
 B. two
 C. three
 D. four
 E. five
Answer:

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

A bakery makes exactly three kinds of cookie—oatmeal, peanut butter, and sugar. Exactly three batches of each kind of cookie are made each week (Monday through Friday) and each batch is made, from start to finish, on a single day. The following conditions apply: No two batches of the same kind of cookie are made on the same day. At least one batch of cookies is made on Monday. The second batch of oatmeal cookies is made on the same day as the first batch of peanut butter cookies. The second batch of sugar cookies is made on Thursday.
Question: How many of the days, Monday through Friday, are such that at most two batches of cookies could be made on that day?
 A. one
 B. two
 C. three
 D. four
 E. five
Answer: A


Question:
A chemistry class has six lab sessions scheduled over three days—Wednesday, Thursday, and Friday—one session heing held each morning and one each afternoon. Each session will be led by a different lab assistant—Julio, Kevin, Lan, Nessa, Olivia, or Rebecca. The assignment of lab assistants to sessions is constrained as follows: Kevin and Rebecca must lead sessions that meet on the same day. Lan and Olivia cannot lead sessions that meet on the same day. Nessa must lead an afternoon session. Julio's session must meet on an earlier day of the week than Olivia's.
Question: Which one of the following could he an accurate assignment of lab assistants to morning and afternoon sessions, respectively, on the three days?
 A. Wednesday: Rebecca, Kevin Thursday: Julio, Lan Friday: Nessa, Olivia
 B. Wednesday: Olivia, Nessa Thursday: Julio, Lan Friday: Kevin, Rebecca
 C. Wednesday: Lan, Kevin Thursday: Rebecca, Julio Friday: Olivia, Nessa
 D. Wednesday: Kevin, Rebecca Thursday: Julio, Nessa Friday: Olivia, Lan
 E. Wednesday: Julio, Lan Thursday: Olivia, Nessa Friday: Rebecca, Kevin
Answer:

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

A chemistry class has six lab sessions scheduled over three days—Wednesday, Thursday, and Friday—one session heing held each morning and one each afternoon. Each session will be led by a different lab assistant—Julio, Kevin, Lan, Nessa, Olivia, or Rebecca. The assignment of lab assistants to sessions is constrained as follows: Kevin and Rebecca must lead sessions that meet on the same day. Lan and Olivia cannot lead sessions that meet on the same day. Nessa must lead an afternoon session. Julio's session must meet on an earlier day of the week than Olivia's.
Question: Which one of the following could he an accurate assignment of lab assistants to morning and afternoon sessions, respectively, on the three days?
 A. Wednesday: Rebecca, Kevin Thursday: Julio, Lan Friday: Nessa, Olivia
 B. Wednesday: Olivia, Nessa Thursday: Julio, Lan Friday: Kevin, Rebecca
 C. Wednesday: Lan, Kevin Thursday: Rebecca, Julio Friday: Olivia, Nessa
 D. Wednesday: Kevin, Rebecca Thursday: Julio, Nessa Friday: Olivia, Lan
 E. Wednesday: Julio, Lan Thursday: Olivia, Nessa Friday: Rebecca, Kevin
Answer: E


Question:
Seven workers—Quinn, Ruiz, Smith, Taylor, Verma, Wells, and Xue—are being considered for a special project. Exactly three of the workers will be selected to be project members, and exactly one of these project members will be the project leader. The selection is subject to the following constraints: Quinn or Ruiz can be a project member only if leading the project. If Smith is a project member, Taylor must also be. If Wells is a project member, neither Ruiz nor Verma can be.
Question: If Taylor is not a project member, which one of the following workers must be a project member?
 A. Quinn
 B. Ruiz
 C. Verma
 D. Wells
 E. Xue
Answer:

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

Seven workers—Quinn, Ruiz, Smith, Taylor, Verma, Wells, and Xue—are being considered for a special project. Exactly three of the workers will be selected to be project members, and exactly one of these project members will be the project leader. The selection is subject to the following constraints: Quinn or Ruiz can be a project member only if leading the project. If Smith is a project member, Taylor must also be. If Wells is a project member, neither Ruiz nor Verma can be.
Question: If Taylor is not a project member, which one of the following workers must be a project member?
 A. Quinn
 B. Ruiz
 C. Verma
 D. Wells
 E. Xue
Answer: E


Question:
Exactly five students—Grecia, Hakeem, Joe, Katya, and Louise—are to work at a campus art gallery during a special exhibit that runs for exactly five days, Monday through Friday. Each day is divided into two nonoverlapping shifts—first and second—with each student working exactly two shifts. Each shift is worked by exactly one of the students according to the following scheduling restrictions: No student works both shifts of any day. On two consecutive days, Louise works the second shift. On two nonconsecutive days, Grecia works the first shift. Katya works on Tuesday and Friday. Hakeem and Joe work on the same day as each other at least once. Grecia and Louise never work on the same day as each other.
Question: If Hakeem works at the gallery on Wednesday, then Joe must work at the gallery on which one of the following pairs of days?
 A. Monday and Wednesday
 B. Monday and Thursday
 C. Tuesday and Wednesday
 D. Tuesday and Thursday
 E. Wednesday and Thursday
Answer:

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

Exactly five students—Grecia, Hakeem, Joe, Katya, and Louise—are to work at a campus art gallery during a special exhibit that runs for exactly five days, Monday through Friday. Each day is divided into two nonoverlapping shifts—first and second—with each student working exactly two shifts. Each shift is worked by exactly one of the students according to the following scheduling restrictions: No student works both shifts of any day. On two consecutive days, Louise works the second shift. On two nonconsecutive days, Grecia works the first shift. Katya works on Tuesday and Friday. Hakeem and Joe work on the same day as each other at least once. Grecia and Louise never work on the same day as each other.
Question: If Hakeem works at the gallery on Wednesday, then Joe must work at the gallery on which one of the following pairs of days?
 A. Monday and Wednesday
 B. Monday and Thursday
 C. Tuesday and Wednesday
 D. Tuesday and Thursday
 E. Wednesday and Thursday
Answer: B


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: Which one of the following is an acceptable ordering of the lectures, from first to fourth?
 A. Farley: sculptures; Holden: lithographs; Garcia: oil paintings; Jiang: watercolors
 B. Farley: watercolors; Jiang: oil paintings; Holden: sculptures; Garcia: lithographs
 C. Garcia: sculptures; Farley: watercolors; Holden: oil paintings; Jiang: lithographs
 D. Holden: oil paintings; Jiang: watercolors; Farley: lithographs; Garcia: sculptures
 E. Holden: sculptures; Farley: watercolors; Jiang: oil paintings; Garcia: lithographs
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: Which one of the following is an acceptable ordering of the lectures, from first to fourth?
 A. Farley: sculptures; Holden: lithographs; Garcia: oil paintings; Jiang: watercolors
 B. Farley: watercolors; Jiang: oil paintings; Holden: sculptures; Garcia: lithographs
 C. Garcia: sculptures; Farley: watercolors; Holden: oil paintings; Jiang: lithographs
 D. Holden: oil paintings; Jiang: watercolors; Farley: lithographs; Garcia: sculptures
 E. Holden: sculptures; Farley: watercolors; Jiang: oil paintings; Garcia: lithographs
Answer: E


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 Franz's oil is displayed on wall 1, which one of the following could be true?
 A. Franz's watercolor is displayed on wall 4.
 B. Greene's oil is displayed on wall 2.
 C. Greene's watercolor is displayed on wall 2.
 D. Hidalgo's watercolor is displayed on wall 3.
 E. Isaacs's oil is displayed on wall 1.
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 Franz's oil is displayed on wall 1, which one of the following could be true?
 A. Franz's watercolor is displayed on wall 4.
 B. Greene's oil is displayed on wall 2.
 C. Greene's watercolor is displayed on wall 2.
 D. Hidalgo's watercolor is displayed on wall 3.
 E. Isaacs's oil is displayed on wall 1.
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 pianist who performs the first solo also performs the second solo, then which one of the following must be true?
 A. Zara performs the first solo.
 B. Wayne performs the third solo.
 C. Zara performs the fifth solo.
 D. The second solo is a traditional piece.
 E. The fourth solo is a modem piece.
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 pianist who performs the first solo also performs the second solo, then which one of the following must be true?
 A. Zara performs the first solo.
 B. Wayne performs the third solo.
 C. Zara performs the fifth solo.
 D. The second solo is a traditional piece.
 E. The fourth solo is a modem piece.
Answer: C


Question:
A bakery makes exactly three kinds of cookie—oatmeal, peanut butter, and sugar. Exactly three batches of each kind of cookie are made each week (Monday through Friday) and each batch is made, from start to finish, on a single day. The following conditions apply: No two batches of the same kind of cookie are made on the same day. At least one batch of cookies is made on Monday. The second batch of oatmeal cookies is made on the same day as the first batch of peanut butter cookies. The second batch of sugar cookies is made on Thursday.
Question: If no batch of cookies is made on Wednesday, then which one of the following must be true?
 A. Exactly three batches of cookies are made on Tuesday.
 B. Exactly three batches of cookies are made on Friday.
 C. At least two batches of cookies are made on Monday.
 D. At least two batches of cookies are made on Thursday.
 E. Fewer batches of cookies are made on Monday than on Tuesday.
Answer:

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

A bakery makes exactly three kinds of cookie—oatmeal, peanut butter, and sugar. Exactly three batches of each kind of cookie are made each week (Monday through Friday) and each batch is made, from start to finish, on a single day. The following conditions apply: No two batches of the same kind of cookie are made on the same day. At least one batch of cookies is made on Monday. The second batch of oatmeal cookies is made on the same day as the first batch of peanut butter cookies. The second batch of sugar cookies is made on Thursday.
Question: If no batch of cookies is made on Wednesday, then which one of the following must be true?
 A. Exactly three batches of cookies are made on Tuesday.
 B. Exactly three batches of cookies are made on Friday.
 C. At least two batches of cookies are made on Monday.
 D. At least two batches of cookies are made on Thursday.
 E. Fewer batches of cookies are made on Monday than on Tuesday.
Answer: D


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: Which one of the following CANNOT be an accurate list of the movies scheduled to be shown on screen 2 this evening, listing the 7 P.M. movie first?
 A. the sci-fi film, the horror film
 B. the sci-fi film, the mystery
 C. the sci-fi film, the western
 D. the western, the horror film
 E. the western, the mystery
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: Which one of the following CANNOT be an accurate list of the movies scheduled to be shown on screen 2 this evening, listing the 7 P.M. movie first?
 A. the sci-fi film, the horror film
 B. the sci-fi film, the mystery
 C. the sci-fi film, the western
 D. the western, the horror film
 E. the western, the mystery
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: Which one of the following CANNOT be true of the schedule?
 A. Franco is the only witness scheduled to testify on Monday.
 B. Franco is scheduled to testify on the same day as Iturbe.
 C. Garcia and Hong are both scheduled to testify on Tuesday.
 D. Garcia is the only witness scheduled to testify on Monday and Hong is one of two witnesses scheduled to testify on Wednesday.
 E. Jackson is scheduled to testify on Tuesday and two witnesses are scheduled to testify on Monday.
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 CANNOT be true of the schedule?
 A. Franco is the only witness scheduled to testify on Monday.
 B. Franco is scheduled to testify on the same day as Iturbe.
 C. Garcia and Hong are both scheduled to testify on Tuesday.
 D. Garcia is the only witness scheduled to testify on Monday and Hong is one of two witnesses scheduled to testify on Wednesday.
 E. Jackson is scheduled to testify on Tuesday and two witnesses are scheduled to testify on Monday.
Answer: E


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: Which one of the following could be all of the solos that are traditional pieces?
 A. the first, third, and fourth
 B. the second, third, and fourth
 C. the third and fourth
 D. the third and fifth
 E. the fourth and fifth
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: Which one of the following could be all of the solos that are traditional pieces?
 A. the first, third, and fourth
 B. the second, third, and fourth
 C. the third and fourth
 D. the third and fifth
 E. the fourth and fifth
Answer: C


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: Which one of the following CANNOT be an accurate list of the movies scheduled to be shown on screen 1 this evening, listing the 7 P.M. movie first?
 A. the sci-fi film, the horror film
 B. the sci-fi film, the mystery
 C. the western, the horror film
 D. the western, the mystery
 E. the western, the sci-fi film
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: Which one of the following CANNOT be an accurate list of the movies scheduled to be shown on screen 1 this evening, listing the 7 P.M. movie first?
 A. the sci-fi film, the horror film
 B. the sci-fi film, the mystery
 C. the western, the horror film
 D. the western, the mystery
 E. the western, the sci-fi film
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: If Theresa tests J on the first day, then which one of the following could be true?
 A. Reynaldo tests G on the second day.
 B. Seamus tests H on the first day.
 C. Yuki tests H on the second day.
 D. Seamus is one of the testers for J.
 E. Theresa is one of the testers for G.
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: If Theresa tests J on the first day, then which one of the following could be true?
 A. Reynaldo tests G on the second day.
 B. Seamus tests H on the first day.
 C. Yuki tests H on the second day.
 D. Seamus is one of the testers for J.
 E. Theresa is one of the testers for G.
Answer: B


Question:
Detective: People who repeatedly commit crimes like embezzlement or bribery without being caught tend to become more confident. With each success, they believe that getting caught is less likely. However, the more crimes a person commits, the greater the chance that one of those crimes will be solved. It is therefore likely that most people who commit embezzlement or bribery will eventually be caught.
Question: Which one of the following is an assumption required by the detective's argument?
 A. The majority of people who commit embezzlement or bribery do so repeatedly.
 B. People who commit embezzlement or bribery tend to be people who feel confident.
 C. Embezzlement and bribery are more likely to be solved than are many other types of crimes.
 D. People who repeatedly commit embezzlement or bribery become more and more careless the longer they avoid detection.
 E. No one who commits embezzlement or bribery is ever caught the first time.
Answer:

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

Detective: People who repeatedly commit crimes like embezzlement or bribery without being caught tend to become more confident. With each success, they believe that getting caught is less likely. However, the more crimes a person commits, the greater the chance that one of those crimes will be solved. It is therefore likely that most people who commit embezzlement or bribery will eventually be caught.
Question: Which one of the following is an assumption required by the detective's argument?
 A. The majority of people who commit embezzlement or bribery do so repeatedly.
 B. People who commit embezzlement or bribery tend to be people who feel confident.
 C. Embezzlement and bribery are more likely to be solved than are many other types of crimes.
 D. People who repeatedly commit embezzlement or bribery become more and more careless the longer they avoid detection.
 E. No one who commits embezzlement or bribery is ever caught the first time.
Answer: A


Question:
The tendency toward overspecialization in the study of artifacts is unfortunate. Scholars can enhance their understanding of a certain artistic period by studying art from earlier periods that had a significant influence on it. For instance, because of its influence on Spanish artisans, a proper understanding of Arabic porcelain is indispensable for a proper understanding of Spanish porcelain.
Question: Of the following, which one most closely conforms to the principle that the passage as a whole illustrates?
 A. To understand completely the major trends in research on aging, one must understand the influences these trends exert on society's view of aging.
 B. To understand fully the historical events of this century, a historian must have an understanding of similar events in earlier centuries.
 C. To appreciate fully the French language, one must understand the other languages that share its linguistic ancestry.
 D. To understand properly any academic discipline, one must have at least a superficial acquaintance with the practices of the wider academic community.
 E. To understand completely Aristotle's philosophy, one must be well acquainted with the philosophy of his intellectual mentor, Plato.
Answer:

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

The tendency toward overspecialization in the study of artifacts is unfortunate. Scholars can enhance their understanding of a certain artistic period by studying art from earlier periods that had a significant influence on it. For instance, because of its influence on Spanish artisans, a proper understanding of Arabic porcelain is indispensable for a proper understanding of Spanish porcelain.
Question: Of the following, which one most closely conforms to the principle that the passage as a whole illustrates?
 A. To understand completely the major trends in research on aging, one must understand the influences these trends exert on society's view of aging.
 B. To understand fully the historical events of this century, a historian must have an understanding of similar events in earlier centuries.
 C. To appreciate fully the French language, one must understand the other languages that share its linguistic ancestry.
 D. To understand properly any academic discipline, one must have at least a superficial acquaintance with the practices of the wider academic community.
 E. To understand completely Aristotle's philosophy, one must be well acquainted with the philosophy of his intellectual mentor, Plato.
Answer: E


Question:
Student: If a person has an immunity to infection by a microorganism, then that microorganism does not cause them to develop harmful symptoms. Since many people are exposed to staphylococcus without developing any harmful symptoms, it follows that they have an immunity to infection by this microorganism.
Question: The student's argument is most similar in its flawed pattern of reasoning to which one of the following?
 A. Everything morally right is just, but some actions that best serve the interests of everyone are not just. Thus, some morally right actions do not serve the interests of everyone.
 B. Advertisers try to persuade people that certain claims are true. Since writers of fiction are not advertisers, they probably never try to persuade people that certain claims are true.
 C. Isabel said that she would take the medication. Obviously, though, she did not do so, because medication either cures disease or alleviates its symptoms, and Isabel is still quite ill.
 D. When business owners are subjected to excessive taxation, they become less willing to expand their businesses. The recent decline in business expansions thus shows that their taxes are too high.
 E. Studies show that doctors tend to wash their hands less often than any other health care professionals. This shows that the procedure cannot be of much value in preventing disease.
Answer:

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

Student: If a person has an immunity to infection by a microorganism, then that microorganism does not cause them to develop harmful symptoms. Since many people are exposed to staphylococcus without developing any harmful symptoms, it follows that they have an immunity to infection by this microorganism.
Question: The student's argument is most similar in its flawed pattern of reasoning to which one of the following?
 A. Everything morally right is just, but some actions that best serve the interests of everyone are not just. Thus, some morally right actions do not serve the interests of everyone.
 B. Advertisers try to persuade people that certain claims are true. Since writers of fiction are not advertisers, they probably never try to persuade people that certain claims are true.
 C. Isabel said that she would take the medication. Obviously, though, she did not do so, because medication either cures disease or alleviates its symptoms, and Isabel is still quite ill.
 D. When business owners are subjected to excessive taxation, they become less willing to expand their businesses. The recent decline in business expansions thus shows that their taxes are too high.
 E. Studies show that doctors tend to wash their hands less often than any other health care professionals. This shows that the procedure cannot be of much value in preventing disease.
Answer: D


Question:
Most kinds of soil contain clay, and virtually every kind of soil contains either sand or organic material, or both. Therefore, there must be some kinds of soil that contain both clay and sand and some that contain both clay and organic material.
Question: The pattern of flawed reasoning in which one of the following arguments is most parallel to that in the argument above?
 A. Most pharmacies sell cosmetics. Vrrtually every pharmacy sells shampoo or toothpaste, or both. Therefore, if there are pharmacies that sell both cosmetics and toothpaste, there must also be some that sell both cosmetics and shampoo.
 B. Undoubtedly, most pharmacies sell cosmetics for almost all pharmacies sell either shampoo or toothpaste, or both, and there are some pharmacies that sell both cosmetics and shampoo and some that sell both cosmetics and toothpaste.
 C. Most pharmacies sell cosmetics. Nearly all pharmacies sell shampoo or toothpaste, or both. Therefore, unless there are some pharmacies that sell both cosmetics and toothpaste, there must be some that sell both cosmetics and shampoo.
 D. Virtually every pharmacy that sells shampoo also sells toothpaste. Most pharmacies sell cosmetics. Therefore, there must be some pharmacies that sell both cosmetics and toothpaste and some that sell both cosmetics and shampoo
 E. Nearly all pharmacies sell either shampoo or toothpaste, or both. Therefore, since most pharmacies sell cosmetics, there must be some pharmacies that sell both cosmetics and toothpaste and some that sell both cosmetics and shampoo.
Answer:

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

Most kinds of soil contain clay, and virtually every kind of soil contains either sand or organic material, or both. Therefore, there must be some kinds of soil that contain both clay and sand and some that contain both clay and organic material.
Question: The pattern of flawed reasoning in which one of the following arguments is most parallel to that in the argument above?
 A. Most pharmacies sell cosmetics. Vrrtually every pharmacy sells shampoo or toothpaste, or both. Therefore, if there are pharmacies that sell both cosmetics and toothpaste, there must also be some that sell both cosmetics and shampoo.
 B. Undoubtedly, most pharmacies sell cosmetics for almost all pharmacies sell either shampoo or toothpaste, or both, and there are some pharmacies that sell both cosmetics and shampoo and some that sell both cosmetics and toothpaste.
 C. Most pharmacies sell cosmetics. Nearly all pharmacies sell shampoo or toothpaste, or both. Therefore, unless there are some pharmacies that sell both cosmetics and toothpaste, there must be some that sell both cosmetics and shampoo.
 D. Virtually every pharmacy that sells shampoo also sells toothpaste. Most pharmacies sell cosmetics. Therefore, there must be some pharmacies that sell both cosmetics and toothpaste and some that sell both cosmetics and shampoo
 E. Nearly all pharmacies sell either shampoo or toothpaste, or both. Therefore, since most pharmacies sell cosmetics, there must be some pharmacies that sell both cosmetics and toothpaste and some that sell both cosmetics and shampoo.
Answer: E


Question:
Anyone who knows Ellsworth knows that he is bursting with self-righteousness, touting the idealism of his generation over the greed of the previous generation. So no one who knows him will be surprised that Ellsworth is offended by the suggestions in the media that he has engaged in unethical business practices.
Question: The conclusion drawn above follows logically if which one of the following is assumed?
 A. Everyone suspects self-righteous people of being, in actuality, unethical.
 B. Ellsworth has been accused of unethical business practices before.
 C. Hypocrites often hide behind righteous indignation.
 D. Ellsworth is in fact innocent of all wrongdoing.
 E. Everyone expects self-righteous people to be easily offended.
Answer:

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

Anyone who knows Ellsworth knows that he is bursting with self-righteousness, touting the idealism of his generation over the greed of the previous generation. So no one who knows him will be surprised that Ellsworth is offended by the suggestions in the media that he has engaged in unethical business practices.
Question: The conclusion drawn above follows logically if which one of the following is assumed?
 A. Everyone suspects self-righteous people of being, in actuality, unethical.
 B. Ellsworth has been accused of unethical business practices before.
 C. Hypocrites often hide behind righteous indignation.
 D. Ellsworth is in fact innocent of all wrongdoing.
 E. Everyone expects self-righteous people to be easily offended.
Answer: E