Welcome to your MBA-Analytical HW-Puzzle-01

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Questions 19 – 25
The only persons who attended a meeting were four ship captains and the first mates of three of those captains. The captains were R, S, T, and W; the first mates were L, N, and V. Each person in turn delivered a report to the group as follows:

Each first mate present spoke immediately after his or her captain.
S was the first captain to speak, and T was the second captain to speak.

19. All of following are possible orders of speakers EXCEPT
20. If R spoke after L, and L was the third of the first mates to speak, all of the following statements could be true EXCEPT:
21. Which of the following must be true?
22. If L spoke immediately after R and immediately before W, and W was not the last speaker, R spoke
23. If V is S’s first mate, N could be the person who spoke immediately
24. If L was the third of the first mates to speak, and R was the captain whose first mate was not present, which of the following must be true?
25. Which of the following additional conditions would make S, N, T, V, R, W, L the only possible order of speakers?
Questions 26- 29
Seven meetings—J, K, L, M, N, O, and P—are to be scheduled, one on each day of a week that begins on Sunday.
Meeting J must take place on Sunday.
Meeting K must take place after both meeting L and meeting M.
Meetings N, O, and P must take place on three consecutive days, not necessarily in that order.

26. Which is the latest day of the week on which meeting L can take place?
27. Which of the following must be true about the order of meetings?
28. If meeting O is on Saturday, then meeting K must take place on
29. Which of the following represents a possible ordering of meetings on three consecutive days?
Questions 30- 32
An instructor regularly offers a six-week survey course on film genres. Each time the course is given, she covers six of the following eight genres: adventure films, cinema noir, detective films, fantasy films, horror films, musical comedies, silent films, and westerns. She will discuss exactly one genre per week according to the following conditions:

Silent films are always covered, and always in the first week.
Westerns and adventure films are always covered, with westerns covered in the week immediately preceding the week adventure films are covered.
Musical comedies are never covered in the same course in which fantasy films are covered.
If detective films are covered, they are covered after westerns are covered, with exactly one of the other genres covered between them.
Cinema noir is not covered unless detective films are covered in one of the previous weeks.

30. Which of the following is an acceptable schedule of genres for weeks one through six of the course?
31. If musical comedies are covered the week immediately preceding the week westerns are covered, which of the following can be true?
32. Which of the following will NEVER be covered in the sixth week of the course?
Questions 33- 39
The appellate court of a state in the United States is staffed by exactly eight judges—R, S, T, U, V, W, X, and Y. At the beginning of each session of the court, the clerk of the court announces two panels of three judges each, one to hear criminal cases and one to hear civil cases.

No judge can serve on more than one panel at a session of the court.
At least two members of the panel hearing criminal cases must have had prior experience with criminal cases. The judges with experience in criminal cases, listed in order of descending seniority, are R, S, T, and U.

At least two member of the panel hearing civil cases must have had prior experience with civil cases. The judges with experience in civil cases, listed in order of descending seniority, are V, W, X, and Y.

The presiding judge of each panel is the judge among the three on the panel with the greatest seniority in the area of the cases.

Each of the three major geographical regions of the state must be represented on every panel by exactly one judge. Judges S and W are from the western part of the state; Judges R, U, and Y are from the central part of the state; and Judges T, V, and X are from the eastern part of the state.

If a judge cannot serve on a panel because of illness or conflict of interest, his or her place can be taken only by a judge who meets the necessary conditions for the panel.

33. Which of the following could be the panel of judges selected to hear civil cases?
34. If X is the presiding judge of the panel selected to hear civil cases, which of the following must be the other two members of that panel?
35. Which of the following could be the panel of judges selected to hear criminal cases?
36. The judges selected to serve on any panel announced by the clerk of the court must include either
37. If the panel of judges hearing criminal cases consists of T, U, and W, and if U withdraws because of a conflict of interest and is replaced, which of the following judges will be the presiding judge of the panel hearing criminal cases after U has been replaced?
38. If V cannot serve on either panel and if the panel of judges hearing civil cases consists of U, W, and X, all of the following must be true EXCEPT:
39. If the panel of judges hearing criminal cases consists of T, U, and W, and if X is appointed as a replacement on the panel hearing civil cases, after that change which of the following judges will be the presiding judge of the panel hearing civil cases?
Questions 40- 45
A museum curator must group nine paintings— F, G, H, J, K, L, M, N, and O—in twelve spaces numbered consecutively from 1-12. The paintings must be in three groups, each group representing a different century. The groups must be separated from each other by at least one unused wall space. Three of the paintings are from the eighteenth century, two from the nineteenth century, and four from the twentieth century. Unused wall spaces cannot occur within groups.
G and J are paintings from different centuries.
J, K, and L are all paintings from the same century.
Space number, 5 is always empty.
F and M are eighteenth-century paintings.
N is a nineteenth-century painting.

40. If space 4 is to remain empty, which of the following is true?
41. If the paintings are hung in reverse chronological order by century, the unused wall spaces could be
42. Which of the following is a space that CANNOT be occupied by a nineteenth-century painting?
43. If J hangs in space 11, which of the following is a possible arrangement for spaces 8 and 9?
44. If the twentieth-century paintings are hung in spaces 1 - 4, which of the following CANNOT be true?
45. If the first five paintings, in numerical order of spaces, are F, O, M, N, G, which of the following must be true?
Questions 46- 49
Seats on a small plane are being assigned to six passengers—N, P, Q, R, S, and T. The eight seats on the plane are in four rows, numbered 1 through 4, and each row has two seats. Seat assignments are made according to the following conditions:
N must sit alone in a row.
P must sit in the same row as R.
Q cannot sit in the same row as S.
The rows with only one passenger must be row 1 and row 3.

46. Which of the following passengers could be assigned to sit in the same row as Q?
47. If P and R are in row 2, which of the following must be true?
48. Which of the following is the total number of passengers eligible to be the passenger assigned to sit in the same row as T?
49. If Q and T are assigned to sit together in a row, which of the following passengers could be assigned to sit in row 3?