Questions 13-17
From exactly six objects-K, L, M, N, O, and P-two groups of objects must be selected by the following rules:
Group 1 must consist of exactly three Objects, and group 2 must consist of exactly two objects. No object can be in both groups at once.
If K is in group 1, L must be in group 2.
If L is group 1, K must be in group 2.
If M is in group 1, K cannot be in group 2.
If L is in group 2, N cannot be in group 1.
13. If K is one of the objects in group 1, which of the following must be true?
(A) N is not in group 1.
(B) O is not in group 2.
(C) L is neither in group 1 nor in group 2.
(D) M is in group 1.
(E) P is group 2.
14. Which of the following is a selection of objects for group 1 and 2 that conforms to the rules?
Group 1 Group 2
(A) K, M and N L and M
(B) K, L, and M N and O
(C) K, O, and P K and P
(D) L, M, and O K and N
(E) L, N, and P K and M
15. If the two groups have been selected but K is in neither of them, which of the following pairs of objects must be two objects in group 2?
(A) L and M
(B) L and N
(C) L and O
(D) N and P
(E) O and P
16. which of the following is a pair of objects neither of which can be in group 1 if L is in group 1?
(A) K and M
(B) K and O
(C) M and N
(D) M and P
(E) O and P
17. If M is one of the objects in group 1, which of the following must be one of the objects in group 2?
(A) K
(B) L
(C) N
(D) O
(E) P
Questions 18-22
A principal is planning the assignment of five teachers. V, W, X, Y, and Z, and five aides, J, K, L, M, and N, to five adjoining rooms numbered consecutively, one through five, according to the following conditions:
Exactly one teacher and one aide must be assigned to each room.
J and Z must be assigned to room four.
M must be assigned to the same room as Y.
W and X must each be assigned to one of the end rooms.
X cannot be assigned to a room that either K or L is assigned to.
18. Each of the following is a possible assignment of teachers to rooms one and two, respectively, EXCEPT
(A) W, V
(B) W, Y
(C) X, V
(D) X, Y
(E) Y, V
19. Which of the following could be assigned to room three?
(A) J
(B) L
(C) W
(D) X
(E) Z
20. If V is assigned to room two, which of the following must be true?
(A) K is assigned to room five.
(B) L is assigned to room one.
(C) N is assigned to room two.
(D) W is assigned to room one.
(E) Y is assigned to room three.
21. If M and L are assigned to rooms two and three, respectively, which of the following must be true?
(A) K is assigned to room one.
(B) V is assigned to room three.
(C) W is assigned to room five .
(D) There is exactly one room between N's room and M's room.
(E) There are exactly two rooms between W's room and Y's room.
22. If K and V are assigned to room two, which of the following must be true?
(A) J and Y are assigned to a room together.
(B) L and W are assigned to a room together.
(C) M and Y are assigned to room five.
(D) M and Z are assigned to a room together.
(E) N and W are assigned to room three.
23. There is a growing trend today toward settling legal differences between corporations by private arbitration rather than in the courts. The average arbitration takes 141 days from filing to award, whereas the average time from filing to trial in the courts is 20 months. Any two corporations aware of this fact will surely prefer some sort of private arbitration to a court trial.
Which of the following, if true, could best be used to challenge the conclusion above?
(A) The fees for court litigation are usually no higher than the fees for private arbitration.
(B) The average time of 20 months does not include time spent in the courtroom.
(C) A delay in settling legal differences is often beneficial to one of the parties involved.
(D) For some corporations 141 days is an inconveniently long time to wait for a legal decision.
(E) If both parties choose to do so, they can build the possibility of appeal into private arbitration.
24. Starchy foods such as breads and cereals have only half as many calories per ounce as do fatty foods such as butter and cheese. People who want to lose weight by consuming fewer calories without being hungry because they have reduced the amount of food they eat can do so by substituting an equal weight to starchy foods for some of the fatty foods they now cat.
Which of the following, if true, is a drawback to the weight-loss strategy proposed above?
(A) Starchy foods such as bread are usually less expensive than fatty foods such as butter and cheese.
(B) Fatty foods are more compact than starchy foods, and therefore add less bulk to the diet.
(C) A fat-free diet eventually leads to serious nutritional deficiencies.
(D) Starchy foods do not alleviate a desire to eat for as long as fatty foods do, because they are more quickly digested
(E) Some people prefer the taste of starchy foods to that of fatty foods.
25. "I propose the following strategy for responding to the rapidly shrinking demand for our line of Rota toys: in each of the next five years, let us cut production of those toys by ten percent of the preceding year's production level, and our production in year five will be reduced to exactly half of what it is today."
Which of the following is a logical error contained in the proposal above?
(A) The reasons for the decline in the demand for Rota toys are not analyzed.
(B) The proposal is put forth without an explanation of why the figure of ten percent was set as a goal.
(C) The proposal is a conservative response in that it treats the problem of decreasing demand as likely to persist.
(D) The proposal leaves open what is to be done once the plan for the next five years has been carried out.
(E) The strategy as described above, if carried out, would not result in as large a reduction in production as is projected. |
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