Questions 16-19
Four players-W, X, Y, and Z-play a series of games. In each game the four form two pairs that play against one another; one pair wins and one pair loses.
When a pair wins or loses a game, both players are credited with the win or the loss.
Games are played in a series in which partners are changed with each game until all possible combinations of partners have played. The series begins again repeating the combinations of partners in the same order.
16. Which of the following is a possible sequence of partners for W?
(A) X, Z, Y, X, Y, Z
(B) Y, X, Z, X, Z,Y
(C) Y, Z, X, Y, Z, X
(D) Z, X, Y, Z, Y, X
(E) Z, Y, X, Y, X, Z
17. In order that all possible combinations of partners play one game each, how many games must be played?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 8
18. If each player has won at least one game, what is the minimum number of games that must have been played?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
19. At the end of the third game in the first series, which of the following must be true?
(A) There is a player who has won two games and lost one game.
(B) There is a player who has won all three games.
(C) There is a player who has lost two or more games.
(D) There are three players who have lost exactly one game each.
(E) There are three players who have won exactly two games each.
Questions 20-22
A company owns exactly five delivery vans designated K, L, M, N, and O. At the end of the day, each of the vans must be parked in one of three parking lanes numbered 1, 2, and 3, which are each wide enough for just one van and long enough for all five vans. In lane 1, only vans K and L can be parked, but neither of these vans has to be parked in that lane.
N is always parked earlier than O is parked. When parking a van, each driver enters one of the parking lanes from the rear and parks in the front most available position.
No driver parks behind any more of the other vans than he has to at the time.
20. Which of the following could be the parking pattern after all vans have been parked?
(A) K in lane 1; first L, then M, the O in lane 2; N in lane 3
(B) K in front of L in lane 1; no van in lane 2; first M, then N, then O in lane 3
(C) K in front of L in lane 1; M in lane 2; O in front of N in lane 3
(D) K in front of N in lane 1; L in lane 2; M in front of O in lane 3
(E) L in front of K in lane 1; N in front of O in lane 2; M in lane 3
21. Each of the following could be true after all of the vans have been parked EXCEPT:
(A) K is the only van parked in lane 2.
(B) L is the only van parked in lane 1.
(C) L and O are both parked in lane 3.
(D) M and N are both parked in lane 2.
(E) M and O are parked in different lanes.
22. If all five of the vans are parked, but none of them in lane 1, which of the following must be true?
(A) K was parked earlier than L was.
(B) N was parked earlier than M was.
(C) O was the last van to be parked.
(D) K and L were the first two vans to be parked.
(E) M and O were the last two vans to be parked.
23. Recent data from the Center for Disease Control indicate a decline in the reported instances of disease Q. This decline is surprising, because it follows a period in which the formerly obscure Q received a great deal of publicity in the news media.
Which of the following, if assumed by the author to be true, would provide the most logical explanation of the author's surprise at the reported decline?
(A) Increased public awareness of a disease usually stimulates efforts to eradicate the disease.
(B) Increased public awareness of a disease usually leads to an increase in reported instances of the disease.
(C) An obscure disease may sometimes receive a great deal of publicity even though doctors have begun to suspect that the disease no longer exists.
(D) The Center for Disease Control typically concerns itself only with diseases that are of public importance.
(E) It is unusual for the reported instances of a disease to decline sharply after a long period of stability.
24. Husbands of wage-earning women spend, on the average, the same amount of time on housework as do husbands of women who do not earn wages: eleven hours per week.
Husbands of wage-earning women perform household tasks on more occasions than do husbands of women who do not earn wages.
If the statements above are true, which of the following conclusions can be properly drawn?
(A) The average time spent per occasion of performing individual household tasks is less for husbands of wage-earning women than it is for husbands of women who do not earn wages.
(B) Husbands of wage-earning women report a higher rate of participation in household tasks than is actually the case, because they overestimate the number of times they do housework.
(C) On the average, husbands of wage-earning women allocate a little more time to housework per month than do husbands of women who do not earn wages.
(D) There is no difference in the patterns of time spent on household tasks by husbands of wage-earning women and by husbands of women who do not earn wages.
(E) Husbands of wage-earning women participate more often in tasks that are completed in a short time than they do in tasks that take a long time to complete.
25. Most canvases used by artists in the preindustrial United States were imported from Europe, but the wooden stretchers on which the canvas was mounted were always made from American wood. Retailers of art supplies, both in the United States and Europe, often stamped blank canvases with their names and addresses. Completed painting brought from Europe to America were frequently taken off their European stretchers for shipping and remounted on American stretchers after their arrival.
A cultural historian could legitimately use the information in the passage above in establishing that a painting of that are done on
(A) canvas sold by a European retailer and mounted on a stretcher of American wood is probably an American painting
(B) canvas sold by an American retailer and mounted on a stretcher of American wood is probably an American painting
(C) canvas sold by an American retailer and not mounted on a stretcher is probably not an American painting
(D) unmarked canvas mounted on a stretcher of American wood is probably an American painting
(E) unmarked canvas that is not mounted on a stretcher is probably not an American painting |
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